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1205.2642
Peter Hooper
Peter Hooper, Yasin Abbasi-Yadkori, Russell Greiner, Bret Hoehn
Improved Mean and Variance Approximations for Belief Net Responses via Network Doubling
Appears in Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI2009)
null
null
UAI-P-2009-PG-232-239
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A Bayesian belief network models a joint distribution with an directed acyclic graph representing dependencies among variables and network parameters characterizing conditional distributions. The parameters are viewed as random variables to quantify uncertainty about their values. Belief nets are used to compute responses to queries; i.e., conditional probabilities of interest. A query is a function of the parameters, hence a random variable. Van Allen et al. (2001, 2008) showed how to quantify uncertainty about a query via a delta method approximation of its variance. We develop more accurate approximations for both query mean and variance. The key idea is to extend the query mean approximation to a "doubled network" involving two independent replicates. Our method assumes complete data and can be applied to discrete, continuous, and hybrid networks (provided discrete variables have only discrete parents). We analyze several improvements, and provide empirical studies to demonstrate their effectiveness.
[ { "version": "v1", "created": "Wed, 9 May 2012 15:28:28 GMT" } ]
1,336,953,600,000
[ [ "Hooper", "Peter", "" ], [ "Abbasi-Yadkori", "Yasin", "" ], [ "Greiner", "Russell", "" ], [ "Hoehn", "Bret", "" ] ]
1205.2647
Christian Fritz
Christian Fritz, Sheila McIlraith
Generating Optimal Plans in Highly-Dynamic Domains
Appears in Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI2009)
null
null
UAI-P-2009-PG-177-184
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Generating optimal plans in highly dynamic environments is challenging. Plans are predicated on an assumed initial state, but this state can change unexpectedly during plan generation, potentially invalidating the planning effort. In this paper we make three contributions: (1) We propose a novel algorithm for generating optimal plans in settings where frequent, unexpected events interfere with planning. It is able to quickly distinguish relevant from irrelevant state changes, and to update the existing planning search tree if necessary. (2) We argue for a new criterion for evaluating plan adaptation techniques: the relative running time compared to the "size" of changes. This is significant since during recovery more changes may occur that need to be recovered from subsequently, and in order for this process of repeated recovery to terminate, recovery time has to converge. (3) We show empirically that our approach can converge and find optimal plans in environments that would ordinarily defy planning due to their high dynamics.
[ { "version": "v1", "created": "Wed, 9 May 2012 13:51:50 GMT" } ]
1,336,953,600,000
[ [ "Fritz", "Christian", "" ], [ "McIlraith", "Sheila", "" ] ]
1205.2651
Mark Crowley
Mark Crowley, John Nelson, David L Poole
Seeing the Forest Despite the Trees: Large Scale Spatial-Temporal Decision Making
Appears in Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI2009)
null
null
UAI-P-2009-PG-126-134
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce a challenging real-world planning problem where actions must be taken at each location in a spatial area at each point in time. We use forestry planning as the motivating application. In Large Scale Spatial-Temporal (LSST) planning problems, the state and action spaces are defined as the cross-products of many local state and action spaces spread over a large spatial area such as a city or forest. These problems possess state uncertainty, have complex utility functions involving spatial constraints and we generally must rely on simulations rather than an explicit transition model. We define LSST problems as reinforcement learning problems and present a solution using policy gradients. We compare two different policy formulations: an explicit policy that identifies each location in space and the action to take there; and an abstract policy that defines the proportion of actions to take across all locations in space. We show that the abstract policy is more robust and achieves higher rewards with far fewer parameters than the elementary policy. This abstract policy is also a better fit to the properties that practitioners in LSST problem domains require for such methods to be widely useful.
[ { "version": "v1", "created": "Wed, 9 May 2012 15:08:18 GMT" } ]
1,336,953,600,000
[ [ "Crowley", "Mark", "" ], [ "Nelson", "John", "" ], [ "Poole", "David L", "" ] ]
1205.2652
Fabio Gagliardi Cozman
Fabio Gagliardi Cozman, Rodrigo Bellizia Polastro
Complexity Analysis and Variational Inference for Interpretation-based Probabilistic Description Logic
Appears in Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI2009)
null
null
UAI-P-2009-PG-117-125
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper presents complexity analysis and variational methods for inference in probabilistic description logics featuring Boolean operators, quantification, qualified number restrictions, nominals, inverse roles and role hierarchies. Inference is shown to be PEXP-complete, and variational methods are designed so as to exploit logical inference whenever possible.
[ { "version": "v1", "created": "Wed, 9 May 2012 15:05:48 GMT" } ]
1,336,953,600,000
[ [ "Cozman", "Fabio Gagliardi", "" ], [ "Polastro", "Rodrigo Bellizia", "" ] ]
1205.2655
Ido Cohn
Ido Cohn, Tal El-Hay, Nir Friedman, Raz Kupferman
Mean Field Variational Approximation for Continuous-Time Bayesian Networks
Appears in Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI2009)
null
null
UAI-P-2009-PG-91-100
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Continuous-time Bayesian networks is a natural structured representation language for multicomponent stochastic processes that evolve continuously over time. Despite the compact representation, inference in such models is intractable even in relatively simple structured networks. Here we introduce a mean field variational approximation in which we use a product of inhomogeneous Markov processes to approximate a distribution over trajectories. This variational approach leads to a globally consistent distribution, which can be efficiently queried. Additionally, it provides a lower bound on the probability of observations, thus making it attractive for learning tasks. We provide the theoretical foundations for the approximation, an efficient implementation that exploits the wide range of highly optimized ordinary differential equations (ODE) solvers, experimentally explore characterizations of processes for which this approximation is suitable, and show applications to a large-scale realworld inference problem.
[ { "version": "v1", "created": "Wed, 9 May 2012 14:57:02 GMT" } ]
1,336,953,600,000
[ [ "Cohn", "Ido", "" ], [ "El-Hay", "Tal", "" ], [ "Friedman", "Nir", "" ], [ "Kupferman", "Raz", "" ] ]
1205.2659
Blai Bonet
Blai Bonet
Deterministic POMDPs Revisited
Appears in Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI2009)
null
null
UAI-P-2009-PG-59-66
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study a subclass of POMDPs, called Deterministic POMDPs, that is characterized by deterministic actions and observations. These models do not provide the same generality of POMDPs yet they capture a number of interesting and challenging problems, and permit more efficient algorithms. Indeed, some of the recent work in planning is built around such assumptions mainly by the quest of amenable models more expressive than the classical deterministic models. We provide results about the fundamental properties of Deterministic POMDPs, their relation with AND/OR search problems and algorithms, and their computational complexity.
[ { "version": "v1", "created": "Wed, 9 May 2012 14:50:18 GMT" } ]
1,336,953,600,000
[ [ "Bonet", "Blai", "" ] ]
1205.2665
Daniel Andrade
Daniel Andrade, Bernhard Sick
Lower Bound Bayesian Networks - An Efficient Inference of Lower Bounds on Probability Distributions in Bayesian Networks
Appears in Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI2009)
null
null
UAI-P-2009-PG-10-18
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can use any available algorithms and tools for Bayesian networks in order to represent and infer lower bounds. This new method yields results that are provable exact for trees with binary variables, and results which are competitive to existing approximations in credal networks for all other network structures. Our method is not limited to a specific kind of network structure. Basically, it is also not restricted to a specific kind of inference, but we restrict our analysis to prognostic inference in this article. The computational complexity is superior to that of other existing approaches.
[ { "version": "v1", "created": "Wed, 9 May 2012 14:40:39 GMT" } ]
1,336,953,600,000
[ [ "Andrade", "Daniel", "" ], [ "Sick", "Bernhard", "" ] ]
1205.2857
Ping Zhu
Ping Zhu and Qiaoyan Wen
Operations on soft sets revisited
8 pages
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Soft sets, as a mathematical tool for dealing with uncertainty, have recently gained considerable attention, including some successful applications in information processing, decision, demand analysis, and forecasting. To construct new soft sets from given soft sets, some operations on soft sets have been proposed. Unfortunately, such operations cannot keep all classical set-theoretic laws true for soft sets. In this paper, we redefine the intersection, complement, and difference of soft sets and investigate the algebraic properties of these operations along with a known union operation. We find that the new operation system on soft sets inherits all basic properties of operations on classical sets, which justifies our definitions.
[ { "version": "v1", "created": "Sun, 13 May 2012 13:21:59 GMT" } ]
1,426,809,600,000
[ [ "Zhu", "Ping", "" ], [ "Wen", "Qiaoyan", "" ] ]
1205.3054
Bruno Scherrer
Bruno Scherrer (INRIA Lorraine - LORIA), Victor Gabillon (INRIA Lille - Nord Europe), Mohammad Ghavamzadeh (INRIA Lille - Nord Europe), Matthieu Geist (UMI2958)
Approximate Modified Policy Iteration
null
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Modified policy iteration (MPI) is a dynamic programming (DP) algorithm that contains the two celebrated policy and value iteration methods. Despite its generality, MPI has not been thoroughly studied, especially its approximation form which is used when the state and/or action spaces are large or infinite. In this paper, we propose three implementations of approximate MPI (AMPI) that are extensions of well-known approximate DP algorithms: fitted-value iteration, fitted-Q iteration, and classification-based policy iteration. We provide error propagation analyses that unify those for approximate policy and value iteration. On the last classification-based implementation, we develop a finite-sample analysis that shows that MPI's main parameter allows to control the balance between the estimation error of the classifier and the overall value function approximation.
[ { "version": "v1", "created": "Mon, 14 May 2012 15:01:31 GMT" }, { "version": "v2", "created": "Fri, 18 May 2012 06:56:47 GMT" } ]
1,337,558,400,000
[ [ "Scherrer", "Bruno", "", "INRIA Lorraine - LORIA" ], [ "Gabillon", "Victor", "", "INRIA Lille\n - Nord Europe" ], [ "Ghavamzadeh", "Mohammad", "", "INRIA Lille - Nord Europe" ], [ "Geist", "Matthieu", "", "UMI2958" ] ]
1205.3964
Yusuf Perwej
Yusuf Perwej, Ashish Chaturvedi
Machine Recognition of Hand Written Characters using Neural Networks
4 pages, 1 Figure, ISSN:0975 - 8887
International Journal of Computer Applications (IJCA) ,January 2011 Volume 14, Number 2, Pages 6-9
10.5120/1819-2380
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Even today in Twenty First Century Handwritten communication has its own stand and most of the times, in daily life it is globally using as means of communication and recording the information like to be shared with others. Challenges in handwritten characters recognition wholly lie in the variation and distortion of handwritten characters, since different people may use different style of handwriting, and direction to draw the same shape of the characters of their known script. This paper demonstrates the nature of handwritten characters, conversion of handwritten data into electronic data, and the neural network approach to make machine capable of recognizing hand written characters.
[ { "version": "v1", "created": "Thu, 17 May 2012 15:50:08 GMT" } ]
1,337,299,200,000
[ [ "Perwej", "Yusuf", "" ], [ "Chaturvedi", "Ashish", "" ] ]
1205.5098
Balwinder Sodhi
Balwinder Sodhi and Prabhakar T.V
A Simplified Description of Fuzzy TOPSIS
3 pages
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A simplified description of Fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Situation) is presented. We have adapted the TOPSIS description from existing Fuzzy theory literature and distilled the bare minimum concepts required for understanding and applying TOPSIS. An example has been worked out to illustrate the application of TOPSIS for a multi-criteria group decision making scenario.
[ { "version": "v1", "created": "Wed, 23 May 2012 06:21:54 GMT" }, { "version": "v2", "created": "Sat, 3 Jun 2017 07:18:30 GMT" } ]
1,496,707,200,000
[ [ "Sodhi", "Balwinder", "" ], [ "T.", "Prabhakar", "V" ] ]
1205.5866
G K Panda
B. K. Tripathy, G. K. Panda
Approximate Equalities on Rough Intuitionistic Fuzzy Sets and an Analysis of Approximate Equalities
null
IJCSI International Journal of Computer Science Issues, Vol. 9, Issue 2, No 3, March 2012 ISSN (Online): 1694-0814 www.IJCSI.org
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In order to involve user knowledge in determining equality of sets, which may not be equal in the mathematical sense, three types of approximate (rough) equalities were introduced by Novotny and Pawlak ([8, 9, 10]). These notions were generalized by Tripathy, Mitra and Ojha ([13]), who introduced the concepts of approximate (rough) equivalences of sets. Rough equivalences capture equality of sets at a higher level than rough equalities. More properties of these concepts were established in [14]. Combining the conditions for the two types of approximate equalities, two more approximate equalities were introduced by Tripathy [12] and a comparative analysis of their relative efficiency was provided. In [15], the four types of approximate equalities were extended by considering rough fuzzy sets instead of only rough sets. In fact the concepts of leveled approximate equalities were introduced and properties were studied. In this paper we proceed further by introducing and studying the approximate equalities based on rough intuitionistic fuzzy sets instead of rough fuzzy sets. That is we introduce the concepts of approximate (rough)equalities of intuitionistic fuzzy sets and study their properties. We provide some real life examples to show the applications of rough equalities of fuzzy sets and rough equalities of intuitionistic fuzzy sets.
[ { "version": "v1", "created": "Sat, 26 May 2012 09:49:38 GMT" } ]
1,338,249,600,000
[ [ "Tripathy", "B. K.", "" ], [ "Panda", "G. K.", "" ] ]
1206.0259
Stevan Harnad
Stevan Harnad
The Causal Topography of Cognition
11 pages, 0 figures, 10 references, Journal of Cognitive Science 13 2012
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The causal structure of cognition can be simulated but not implemented computationally, just as the causal structure of a comet can be simulated but not implemented computationally. The only thing that allows us even to imagine otherwise is that cognition, unlike a comet, is invisible (to all but the cognizer).
[ { "version": "v1", "created": "Sat, 25 Feb 2012 14:59:49 GMT" }, { "version": "v2", "created": "Mon, 4 Jun 2012 00:45:35 GMT" } ]
1,338,854,400,000
[ [ "Harnad", "Stevan", "" ] ]
1206.0918
Omri Mohamed Nazih
Abdelkader Heni, Mohamed Nazih Omri and Adel Alimi
Fuzzy Knowledge Representation Based on Possibilistic and Necessary Bayesian Networks
ISSN: 1790-0832
WSEAS Transactions on Information Science & Applications Issue 2, Volume 3, February 2006, 224-231
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Within the framework proposed in this paper, we address the issue of extending the certain networks to a fuzzy certain networks in order to cope with a vagueness and limitations of existing models for decision under imprecise and uncertain knowledge. This paper proposes a framework that combines two disciplines to exploit their own advantages in uncertain and imprecise knowledge representation problems. The framework proposed is a possibilistic logic based one in which Bayesian nodes and their properties are represented by local necessity-valued knowledge base. Data in properties are interpreted as set of valuated formulas. In our contribution possibilistic Bayesian networks have a qualitative part and a quantitative part, represented by local knowledge bases. The general idea is to study how a fusion of these two formalisms would permit representing compact way to solve efficiently problems for knowledge representation. We show how to apply possibility and necessity measures to the problem of knowledge representation with large scale data. On the other hand fuzzification of crisp certainty degrees to fuzzy variables improves the quality of the network and tends to bring smoothness and robustness in the network performance. The general aim is to provide a new approach for decision under uncertainty that combines three methodologies: Bayesian networks certainty distribution and fuzzy logic.
[ { "version": "v1", "created": "Tue, 5 Jun 2012 13:13:21 GMT" } ]
1,338,940,800,000
[ [ "Heni", "Abdelkader", "" ], [ "Omri", "Mohamed Nazih", "" ], [ "Alimi", "Adel", "" ] ]
1206.1061
Omri Mohamed Nazih
Mohamed Nazih Omri and Mohamed Ali Mahjoub
Use of Fuzzy Sets in Semantic Nets for Providing On-Line Assistance to User of Technological Systems
null
International Workshop on Intelligent Knowledge Management Techniques I-KOMAT'2002-KES'2002. p. 1444-1449. Podere d'Ombriano, Crema, Italy, (2002)
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The main objective of this paper is to develop a new semantic Network structure, based on the fuzzy sets theory, used in Artificial Intelligent system in order to provide effective on-line assistance to users of new technological systems. This Semantic Networks is used to describe the knowledge of an "ideal" expert while fuzzy sets are used both to describe the approximate and uncertain knowledge of novice users who intervene to match fuzzy labels of a query with categories from an "ideal" expert. The technical system we consider is a word processor software, with Objects such as "Word" and Goals such as "Cut" or "Copy". We suggest to consider the set of the system's Goals as a set of linguistic variables to which corresponds a set of possible linguistic values based on the fuzzy set. We consider, therefore, a set of interpretation's levels for these possible values to which corresponds a set of membership functions. We also propose a method to measure the similarity degree between different fuzzy linguistic variables for the partition of the semantic network in class of similar objects to make easy the diagnosis of the user's fuzzy queries.
[ { "version": "v1", "created": "Tue, 5 Jun 2012 20:05:48 GMT" } ]
1,339,027,200,000
[ [ "Omri", "Mohamed Nazih", "" ], [ "Mahjoub", "Mohamed Ali", "" ] ]
1206.1291
Reza Tavoli
Mohammadreza Keyvanpour, Reza Tavoli
Feature Weighting for Improving Document Image Retrieval System Performance
null
International Journal of Computer Science Issues, Vol 9, Issue 3, No 3 (2012) 125-130
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Feature weighting is a technique used to approximate the optimal degree of influence of individual features. This paper presents a feature weighting method for Document Image Retrieval System (DIRS) based on keyword spotting. In this method, we weight the feature using coefficient of multiple correlations. Coefficient of multiple correlations can be used to describe the synthesized effects and correlation of each feature. The aim of this paper is to show that feature weighting increases the performance of DIRS. After applying the feature weighting method to DIRS the average precision is 93.23% and average recall become 98.66% respectively
[ { "version": "v1", "created": "Wed, 6 Jun 2012 18:20:27 GMT" } ]
1,339,372,800,000
[ [ "Keyvanpour", "Mohammadreza", "" ], [ "Tavoli", "Reza", "" ] ]
1206.1319
Omri Mohamed Nazih
Abdelkader Heni, Mohamed Nazih Omri and Adel Alimi
Certain Bayesian Network based on Fuzzy knowledge Bases
arXiv admin note: substantial text overlap with 1206.0918
International Conference on Internet &, Information Technology in Modern Organizations (5th IBIMA), p. 826-832, Cairo, Egypt, December, 13-15 (2005)
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy random variables. This paper deals with different definitions and classifications of uncertainty, sources of uncertainty, and theories and methodologies presented to deal with uncertainty. Fuzzification of crisp certainty degrees to fuzzy variables improves the quality of the network and tends to bring smoothness and robustness in the network performance. The aim is to provide a new approach for decision under uncertainty that combines three methodologies: Bayesian networks certainty distribution and fuzzy logic. Within the framework proposed in this paper, we address the issue of extending the certain networks to a fuzzy certain networks in order to cope with a vagueness and limitations of existing models for decision under imprecise and uncertain knowledge.
[ { "version": "v1", "created": "Tue, 5 Jun 2012 19:53:43 GMT" } ]
1,339,027,200,000
[ [ "Heni", "Abdelkader", "" ], [ "Omri", "Mohamed Nazih", "" ], [ "Alimi", "Adel", "" ] ]
1206.1414
Amin Nezarat
Shahab Firouzi (Department of Computer engineering, Yazd Branch, Islamic Azad University, Yazd, Iran), Amin Nezarat (Department of Computer engineering, Yazd Branch, Islamic Azad University, Yazd, Iran)
An Intelligent Approach for Negotiating between chains in Supply Chain Management Systems
10
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Holding commercial negotiations and selecting the best supplier in supply chain management systems are among weaknesses of producers in production process. Therefore, applying intelligent systems may have an effective role in increased speed and improved quality in the selections .This paper introduces a system which tries to trade using multi-agents systems and holding negotiations between any agents. In this system, an intelligent agent is considered for each segment of chains which it tries to send order and receive the response with attendance in negotiation medium and communication with other agents .This paper introduces how to communicate between agents, characteristics of multi-agent and standard registration medium of each agent in the environment. JADE (Java Application Development Environment) was used for implementation and simulation of agents cooperation.
[ { "version": "v1", "created": "Thu, 7 Jun 2012 07:50:43 GMT" } ]
1,339,113,600,000
[ [ "Firouzi", "Shahab", "", "Department of Computer engineering, Yazd Branch,\n Islamic Azad University, Yazd, Iran" ], [ "Nezarat", "Amin", "", "Department of Computer\n engineering, Yazd Branch, Islamic Azad University, Yazd, Iran" ] ]
1206.1418
Dinh Que Tran
Thuy Van T. Duong, Dinh Que Tran and Cong Hung Tran
A weighted combination similarity measure for mobility patterns in wireless networks
15 pages, 2 figures; International Journal of Computer Networks & Communications (IJCNC) http://airccse.org/journal/ijc2012.html
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The similarity between trajectory patterns in clustering has played an important role in discovering movement behaviour of different groups of mobile objects. Several approaches have been proposed to measure the similarity between sequences in trajectory data. Most of these measures are based on Euclidean space or on spatial network and some of them have been concerned with temporal aspect or ordering types. However, they are not appropriate to characteristics of spatiotemporal mobility patterns in wireless networks. In this paper, we propose a new similarity measure for mobility patterns in cellular space of wireless network. The framework for constructing our measure is composed of two phases as follows. First, we present formal definitions to capture mathematically two spatial and temporal similarity measures for mobility patterns. And then, we define the total similarity measure by means of a weighted combination of these similarities. The truth of the partial and total similarity measures are proved in mathematics. Furthermore, instead of the time interval or ordering, our work makes use of the timestamp at which two mobility patterns share the same cell. A case study is also described to give a comparison of the combination measure with other ones.
[ { "version": "v1", "created": "Thu, 7 Jun 2012 07:58:18 GMT" } ]
1,339,113,600,000
[ [ "Duong", "Thuy Van T.", "" ], [ "Tran", "Dinh Que", "" ], [ "Tran", "Cong Hung", "" ] ]
1206.1458
Shervan Fekri ershad
Shervan Fekri Ershad and Sattar Hashemi
Dispelling Classes Gradually to Improve Quality of Feature Reduction Approaches
11 Pages, 5 Figure, 7 Tables; Advanced Computing: An International Journal (ACIJ), Vol.3, No.3, May 2012
null
10.5121/acij.2012.3310
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Feature reduction is an important concept which is used for reducing dimensions to decrease the computation complexity and time of classification. Since now many approaches have been proposed for solving this problem, but almost all of them just presented a fix output for each input dataset that some of them aren't satisfied cases for classification. In this we proposed an approach as processing input dataset to increase accuracy rate of each feature extraction methods. First of all, a new concept called dispelling classes gradually (DCG) is proposed to increase separability of classes based on their labels. Next, this method is used to process input dataset of the feature reduction approaches to decrease the misclassification error rate of their outputs more than when output is achieved without any processing. In addition our method has a good quality to collate with noise based on adapting dataset with feature reduction approaches. In the result part, two conditions (With process and without that) are compared to support our idea by using some of UCI datasets.
[ { "version": "v1", "created": "Thu, 7 Jun 2012 11:52:21 GMT" } ]
1,339,113,600,000
[ [ "Ershad", "Shervan Fekri", "" ], [ "Hashemi", "Sattar", "" ] ]
1206.1534
Sumathi Gnanasekaran
G. Sumathi and R. Raju
Software Aging Analysis of Web Server Using Neural Networks
11 pages, 8 figures, 1 table; International Journal of Artificial Intelligence & Applications (IJAIA), Vol.3, No.3, May 2012
null
10.5121/ijaia.2012.3302
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Software aging is a phenomenon that refers to progressive performance degradation or transient failures or even crashes in long running software systems such as web servers. It mainly occurs due to the deterioration of operating system resource, fragmentation and numerical error accumulation. A primitive method to fight against software aging is software rejuvenation. Software rejuvenation is a proactive fault management technique aimed at cleaning up the system internal state to prevent the occurrence of more severe crash failures in the future. It involves occasionally stopping the running software, cleaning its internal state and restarting it. An optimized schedule for performing the software rejuvenation has to be derived in advance because a long running application could not be put down now and then as it may lead to waste of cost. This paper proposes a method to derive an accurate and optimized schedule for rejuvenation of a web server (Apache) by using Radial Basis Function (RBF) based Feed Forward Neural Network, a variant of Artificial Neural Networks (ANN). Aging indicators are obtained through experimental setup involving Apache web server and clients, which acts as input to the neural network model. This method is better than existing ones because usage of RBF leads to better accuracy and speed in convergence.
[ { "version": "v1", "created": "Thu, 7 Jun 2012 15:52:46 GMT" } ]
1,339,113,600,000
[ [ "Sumathi", "G.", "" ], [ "Raju", "R.", "" ] ]
1206.1678
Magesh George
G. Mageshwari and E. Grace Mary Kanaga
A Distributed Optimized Patient Scheduling using Partial Information
11 pages, 8 figures
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A software agent may be a member of a Multi-Agent System (MAS) which is collectively performing a range of complex and intelligent tasks. In the hospital, scheduling decisions are finding difficult to schedule because of the dynamic changes and distribution. In order to face this problem with dynamic changes in the hospital, a new method, Distributed Optimized Patient Scheduling with Grouping (DOPSG) has been proposed. The goal of this method is that there is no necessity for knowing patient agents information globally. With minimal information this method works effectively. Scheduling problem can be solved for multiple departments in the hospital. Patient agents have been scheduled to the resource agent based on the patient priority to reduce the waiting time of patient agent and to reduce idle time of resources.
[ { "version": "v1", "created": "Fri, 8 Jun 2012 07:02:06 GMT" } ]
1,339,372,800,000
[ [ "Mageshwari", "G.", "" ], [ "Kanaga", "E. Grace Mary", "" ] ]
1206.1724
Omri Mohamed Nazih
Mohamed Nazih Omri
Softening Fuzzy Knowledge Representation Tool with the Learning of New Words in Natural Language
null
International Conference on Artificial and Computational Intelligence for Decision, Control and Automation in Engineering and Industrial Applications,(ACIDCA'2000). p. 190-194. Monastir, Tunisia,2000
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The approach described here allows using membership function to represent imprecise and uncertain knowledge by learning in Fuzzy Semantic Networks. This representation has a great practical interest due to the possibility to realize on the one hand, the construction of this membership function from a simple value expressing the degree of interpretation of an Object or a Goal as compared to an other and on the other hand, the adjustment of the membership function during the apprenticeship. We show, how to use these membership functions to represent the interpretation of an Object (respectively of a Goal) user as compared to an system Object (respectively to a Goal). We also show the possibility to make decision for each representation of an user Object compared to a system Object. This decision is taken by determining decision coefficient calculates according to the nucleus of the membership function of the user Object.
[ { "version": "v1", "created": "Fri, 8 Jun 2012 10:51:51 GMT" } ]
1,339,372,800,000
[ [ "Omri", "Mohamed Nazih", "" ] ]
1206.1794
Omri Mohamed Nazih
Mohamed Nazih Omri
Fuzzy Knowledge Representation, Learning and Optimization with Bayesian Analysis in Fuzzy Semantic Networks
null
The 6th International Conference of Neural Information Processing. ICONIP'99. p. 345-351. Perth. Austria, 1999
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper presents a method of optimization, based on both Bayesian Analysis technical and Gallois Lattice, of a Fuzzy Semantic Networks. The technical System we use learn by interpreting an unknown word using the links created between this new word and known words. The main link is provided by the context of the query. When novice's query is confused with an unknown verb (goal) applied to a known noun denoting either an object in the ideal user's Network or an object in the user's Network, the system infer that this new verb corresponds to one of the known goal. With the learning of new words in natural language as the interpretation, which was produced in agreement with the user, the system improves its representation scheme at each experiment with a new user and, in addition, takes advantage of previous discussions with users. The semantic Net of user objects thus obtained by these kinds of learning is not always optimal because some relationships between couple of user objects can be generalized and others suppressed according to values of forces that characterize them. Indeed, to simplify the obtained Net, we propose to proceed to an inductive Bayesian analysis, on the Net obtained from Gallois lattice. The objective of this analysis can be seen as an operation of filtering of the obtained descriptive graph.
[ { "version": "v1", "created": "Fri, 8 Jun 2012 15:41:03 GMT" } ]
1,339,372,800,000
[ [ "Omri", "Mohamed Nazih", "" ] ]
1206.2347
Omri Mohamed Nazih
Mohamed Nazih Omri
Uncertain and Approximative Knowledge Representation to Reasoning on Classification with a Fuzzy Networks Based System
arXiv admin note: text overlap with arXiv:1206.1794
The 8th IEEE International Conference on Fuzzy Systems, FUZZ-IEEE'99. p. 1632-1637. Seoul. Korea,1999
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a fuzzy semantic network based system. For instance, the distinction between necessary, possible and user classes allows to take into account exceptions that may appear on fuzzy knowledge-base and facilitates integration of user's Objects in the base. This approach describes the theoretical aspects of the architecture of the whole experimental A.I. system we built in order to provide effective on-line assistance to users of new technological systems: the understanding of "how it works" and "how to complete tasks" from queries in quite natural languages. In our model, procedural semantic networks are used to describe the knowledge of an "ideal" expert while fuzzy sets are used both to describe the approximative and uncertain knowledge of novice users in fuzzy semantic networks which intervene to match fuzzy labels of a query with categories from our "ideal" expert.
[ { "version": "v1", "created": "Mon, 11 Jun 2012 20:51:51 GMT" } ]
1,339,545,600,000
[ [ "Omri", "Mohamed Nazih", "" ] ]
1206.3111
Francesco Calimeri
Francesco Calimeri, Giovambattista Ianni, Francesco Ricca
The third open Answer Set Programming competition
37 pages, 12 figures, 1 table - To appear in Theory and Practice of Logic Programming (TPLP)
Theory and Practice of Logic Programming 14 (2014) 117-135
10.1017/S1471068412000105
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Answer Set Programming (ASP) is a well-established paradigm of declarative programming in close relationship with other declarative formalisms such as SAT Modulo Theories, Constraint Handling Rules, FO(.), PDDL and many others. Since its first informal editions, ASP systems have been compared in the now well-established ASP Competition. The Third (Open) ASP Competition, as the sequel to the ASP Competitions Series held at the University of Potsdam in Germany (2006-2007) and at the University of Leuven in Belgium in 2009, took place at the University of Calabria (Italy) in the first half of 2011. Participants competed on a pre-selected collection of benchmark problems, taken from a variety of domains as well as real world applications. The Competition ran on two tracks: the Model and Solve (M&S) Track, based on an open problem encoding, and open language, and open to any kind of system based on a declarative specification paradigm; and the System Track, run on the basis of fixed, public problem encodings, written in a standard ASP language. This paper discusses the format of the Competition and the rationale behind it, then reports the results for both tracks. Comparison with the second ASP competition and state-of-the-art solutions for some of the benchmark domains is eventually discussed. To appear in Theory and Practice of Logic Programming (TPLP).
[ { "version": "v1", "created": "Thu, 14 Jun 2012 14:03:28 GMT" } ]
1,582,070,400,000
[ [ "Calimeri", "Francesco", "" ], [ "Ianni", "Giovambattista", "" ], [ "Ricca", "Francesco", "" ] ]
1206.3232
Vibhav Gogate
Vibhav Gogate, Rina Dechter
AND/OR Importance Sampling
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-212-219
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The paper introduces AND/OR importance sampling for probabilistic graphical models. In contrast to importance sampling, AND/OR importance sampling caches samples in the AND/OR space and then extracts a new sample mean from the stored samples. We prove that AND/OR importance sampling may have lower variance than importance sampling; thereby providing a theoretical justification for preferring it over importance sampling. Our empirical evaluation demonstrates that AND/OR importance sampling is far more accurate than importance sampling in many cases.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 12:33:40 GMT" } ]
1,339,977,600,000
[ [ "Gogate", "Vibhav", "" ], [ "Dechter", "Rina", "" ] ]
1206.3233
Alejandro Isaza
Alejandro Isaza, Csaba Szepesvari, Vadim Bulitko, Russell Greiner
Speeding Up Planning in Markov Decision Processes via Automatically Constructed Abstractions
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-306-314
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we consider planning in stochastic shortest path (SSP) problems, a subclass of Markov Decision Problems (MDP). We focus on medium-size problems whose state space can be fully enumerated. This problem has numerous important applications, such as navigation and planning under uncertainty. We propose a new approach for constructing a multi-level hierarchy of progressively simpler abstractions of the original problem. Once computed, the hierarchy can be used to speed up planning by first finding a policy for the most abstract level and then recursively refining it into a solution to the original problem. This approach is fully automated and delivers a speed-up of two orders of magnitude over a state-of-the-art MDP solver on sample problems while returning near-optimal solutions. We also prove theoretical bounds on the loss of solution optimality resulting from the use of abstractions.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 12:34:35 GMT" } ]
1,339,977,600,000
[ [ "Isaza", "Alejandro", "" ], [ "Szepesvari", "Csaba", "" ], [ "Bulitko", "Vadim", "" ], [ "Greiner", "Russell", "" ] ]
1206.3244
James Cussens
James Cussens
Bayesian network learning by compiling to weighted MAX-SAT
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-105-112
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The problem of learning discrete Bayesian networks from data is encoded as a weighted MAX-SAT problem and the MaxWalkSat local search algorithm is used to address it. For each dataset, the per-variable summands of the (BDeu) marginal likelihood for different choices of parents ('family scores') are computed prior to applying MaxWalkSat. Each permissible choice of parents for each variable is encoded as a distinct propositional atom and the associated family score encoded as a 'soft' weighted single-literal clause. Two approaches to enforcing acyclicity are considered: either by encoding the ancestor relation or by attaching a total order to each graph and encoding that. The latter approach gives better results. Learning experiments have been conducted on 21 synthetic datasets sampled from 7 BNs. The largest dataset has 10,000 datapoints and 60 variables producing (for the 'ancestor' encoding) a weighted CNF input file with 19,932 atoms and 269,367 clauses. For most datasets, MaxWalkSat quickly finds BNs with higher BDeu score than the 'true' BN. The effect of adding prior information is assessed. It is further shown that Bayesian model averaging can be effected by collecting BNs generated during the search.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:06:22 GMT" } ]
1,339,977,600,000
[ [ "Cussens", "James", "" ] ]
1206.3246
Cassio Polpo de Campos
Cassio Polpo de Campos, Qiang Ji
Strategy Selection in Influence Diagrams using Imprecise Probabilities
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-121-128
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper describes a new algorithm to solve the decision making problem in Influence Diagrams based on algorithms for credal networks. Decision nodes are associated to imprecise probability distributions and a reformulation is introduced that finds the global maximum strategy with respect to the expected utility. We work with Limited Memory Influence Diagrams, which generalize most Influence Diagram proposals and handle simultaneous decisions. Besides the global optimum method, we explore an anytime approximate solution with a guaranteed maximum error and show that imprecise probabilities are handled in a straightforward way. Complexity issues and experiments with random diagrams and an effects-based military planning problem are discussed.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:08:24 GMT" } ]
1,339,977,600,000
[ [ "de Campos", "Cassio Polpo", "" ], [ "Ji", "Qiang", "" ] ]
1206.3248
Quang Duong
Quang Duong, Michael P. Wellman, Satinder Singh
Knowledge Combination in Graphical Multiagent Model
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-145-152
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A graphical multiagent model (GMM) represents a joint distribution over the behavior of a set of agents. One source of knowledge about agents' behavior may come from gametheoretic analysis, as captured by several graphical game representations developed in recent years. GMMs generalize this approach to express arbitrary distributions, based on game descriptions or other sources of knowledge bearing on beliefs about agent behavior. To illustrate the flexibility of GMMs, we exhibit game-derived models that allow probabilistic deviation from equilibrium, as well as models based on heuristic action choice. We investigate three different methods of integrating these models into a single model representing the combined knowledge sources. To evaluate the predictive performance of the combined model, we treat as actual outcome the behavior produced by a reinforcement learning process. We find that combining the two knowledge sources, using any of the methods, provides better predictions than either source alone. Among the combination methods, mixing data outperforms the opinion pool and direct update methods investigated in this empirical trial.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:09:25 GMT" } ]
1,339,977,600,000
[ [ "Duong", "Quang", "" ], [ "Wellman", "Michael P.", "" ], [ "Singh", "Satinder", "" ] ]
1206.3250
Frederick Eberhardt
Frederick Eberhardt
Almost Optimal Intervention Sets for Causal Discovery
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-161-168
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We conjecture that the worst case number of experiments necessary and sufficient to discover a causal graph uniquely given its observational Markov equivalence class can be specified as a function of the largest clique in the Markov equivalence class. We provide an algorithm that computes intervention sets that we believe are optimal for the above task. The algorithm builds on insights gained from the worst case analysis in Eberhardt et al. (2005) for sequences of experiments when all possible directed acyclic graphs over N variables are considered. A simulation suggests that our conjecture is correct. We also show that a generalization of our conjecture to other classes of possible graph hypotheses cannot be given easily, and in what sense the algorithm is then no longer optimal.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:10:21 GMT" } ]
1,339,977,600,000
[ [ "Eberhardt", "Frederick", "" ] ]
1206.3263
Eric A. Hansen
Eric A. Hansen
Sparse Stochastic Finite-State Controllers for POMDPs
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-256-263
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Bounded policy iteration is an approach to solving infinite-horizon POMDPs that represents policies as stochastic finite-state controllers and iteratively improves a controller by adjusting the parameters of each node using linear programming. In the original algorithm, the size of the linear programs, and thus the complexity of policy improvement, depends on the number of parameters of each node, which grows with the size of the controller. But in practice, the number of parameters of a node with non-zero values is often very small, and does not grow with the size of the controller. Based on this observation, we develop a version of bounded policy iteration that leverages the sparse structure of a stochastic finite-state controller. In each iteration, it improves a policy by the same amount as the original algorithm, but with much better scalability.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:34:42 GMT" } ]
1,339,977,600,000
[ [ "Hansen", "Eric A.", "" ] ]
1206.3264
Hannaneh Hajishirzi
Hannaneh Hajishirzi, Eyal Amir
Sampling First Order Logical Particles
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-248-255
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Approximate inference in dynamic systems is the problem of estimating the state of the system given a sequence of actions and partial observations. High precision estimation is fundamental in many applications like diagnosis, natural language processing, tracking, planning, and robotics. In this paper we present an algorithm that samples possible deterministic executions of a probabilistic sequence. The algorithm takes advantage of a compact representation (using first order logic) for actions and world states to improve the precision of its estimation. Theoretical and empirical results show that the algorithm's expected error is smaller than propositional sampling and Sequential Monte Carlo (SMC) sampling techniques.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:35:12 GMT" } ]
1,339,977,600,000
[ [ "Hajishirzi", "Hannaneh", "" ], [ "Amir", "Eyal", "" ] ]
1206.3265
Johan Kwisthout
Johan Kwisthout, Linda C. van der Gaag
The Computational Complexity of Sensitivity Analysis and Parameter Tuning
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-349-356
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
While known algorithms for sensitivity analysis and parameter tuning in probabilistic networks have a running time that is exponential in the size of the network, the exact computational complexity of these problems has not been established as yet. In this paper we study several variants of the tuning problem and show that these problems are NPPP-complete in general. We further show that the problems remain NP-complete or PP-complete, for a number of restricted variants. These complexity results provide insight in whether or not recent achievements in sensitivity analysis and tuning can be extended to more general, practicable methods.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:35:54 GMT" } ]
1,339,977,600,000
[ [ "Kwisthout", "Johan", "" ], [ "van der Gaag", "Linda C.", "" ] ]
1206.3266
Branislav Kveton
Branislav Kveton, Milos Hauskrecht
Partitioned Linear Programming Approximations for MDPs
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-341-348
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Approximate linear programming (ALP) is an efficient approach to solving large factored Markov decision processes (MDPs). The main idea of the method is to approximate the optimal value function by a set of basis functions and optimize their weights by linear programming (LP). This paper proposes a new ALP approximation. Comparing to the standard ALP formulation, we decompose the constraint space into a set of low-dimensional spaces. This structure allows for solving the new LP efficiently. In particular, the constraints of the LP can be satisfied in a compact form without an exponential dependence on the treewidth of ALP constraints. We study both practical and theoretical aspects of the proposed approach. Moreover, we demonstrate its scale-up potential on an MDP with more than 2^100 states.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:36:14 GMT" } ]
1,339,977,600,000
[ [ "Kveton", "Branislav", "" ], [ "Hauskrecht", "Milos", "" ] ]
1206.3271
Daniel Lowd
Daniel Lowd, Pedro Domingos
Learning Arithmetic Circuits
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-383-392
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Graphical models are usually learned without regard to the cost of doing inference with them. As a result, even if a good model is learned, it may perform poorly at prediction, because it requires approximate inference. We propose an alternative: learning models with a score function that directly penalizes the cost of inference. Specifically, we learn arithmetic circuits with a penalty on the number of edges in the circuit (in which the cost of inference is linear). Our algorithm is equivalent to learning a Bayesian network with context-specific independence by greedily splitting conditional distributions, at each step scoring the candidates by compiling the resulting network into an arithmetic circuit, and using its size as the penalty. We show how this can be done efficiently, without compiling a circuit from scratch for each candidate. Experiments on several real-world domains show that our algorithm is able to learn tractable models with very large treewidth, and yields more accurate predictions than a standard context-specific Bayesian network learner, in far less time.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:38:26 GMT" } ]
1,339,977,600,000
[ [ "Lowd", "Daniel", "" ], [ "Domingos", "Pedro", "" ] ]
1206.3272
Gregory Lawrence
Gregory Lawrence, Stuart Russell
Improving Gradient Estimation by Incorporating Sensor Data
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-375-382
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
An efficient policy search algorithm should estimate the local gradient of the objective function, with respect to the policy parameters, from as few trials as possible. Whereas most policy search methods estimate this gradient by observing the rewards obtained during policy trials, we show, both theoretically and empirically, that taking into account the sensor data as well gives better gradient estimates and hence faster learning. The reason is that rewards obtained during policy execution vary from trial to trial due to noise in the environment; sensor data, which correlates with the noise, can be used to partially correct for this variation, resulting in an estimatorwith lower variance.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:38:50 GMT" } ]
1,339,977,600,000
[ [ "Lawrence", "Gregory", "" ], [ "Russell", "Stuart", "" ] ]
1206.3276
Ulf Nielsen
Ulf Nielsen, Jean-Philippe Pellet, Andr\'e Elisseeff
Explanation Trees for Causal Bayesian Networks
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-427-434
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Bayesian networks can be used to extract explanations about the observed state of a subset of variables. In this paper, we explicate the desiderata of an explanation and confront them with the concept of explanation proposed by existing methods. The necessity of taking into account causal approaches when a causal graph is available is discussed. We then introduce causal explanation trees, based on the construction of explanation trees using the measure of causal information ow (Ay and Polani, 2006). This approach is compared to several other methods on known networks.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:41:30 GMT" } ]
1,339,977,600,000
[ [ "Nielsen", "Ulf", "" ], [ "Pellet", "Jean-Philippe", "" ], [ "Elisseeff", "André", "" ] ]
1206.3281
Stephane Ross
Stephane Ross, Joelle Pineau
Model-Based Bayesian Reinforcement Learning in Large Structured Domains
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-476-483
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Model-based Bayesian reinforcement learning has generated significant interest in the AI community as it provides an elegant solution to the optimal exploration-exploitation tradeoff in classical reinforcement learning. Unfortunately, the applicability of this type of approach has been limited to small domains due to the high complexity of reasoning about the joint posterior over model parameters. In this paper, we consider the use of factored representations combined with online planning techniques, to improve scalability of these methods. The main contribution of this paper is a Bayesian framework for learning the structure and parameters of a dynamical system, while also simultaneously planning a (near-)optimal sequence of actions.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:43:32 GMT" } ]
1,339,977,600,000
[ [ "Ross", "Stephane", "" ], [ "Pineau", "Joelle", "" ] ]
1206.3282
Sebastian Riedel
Sebastian Riedel
Improving the Accuracy and Efficiency of MAP Inference for Markov Logic
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-468-475
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we present Cutting Plane Inference (CPI), a Maximum A Posteriori (MAP) inference method for Statistical Relational Learning. Framed in terms of Markov Logic and inspired by the Cutting Plane Method, it can be seen as a meta algorithm that instantiates small parts of a large and complex Markov Network and then solves these using a conventional MAP method. We evaluate CPI on two tasks, Semantic Role Labelling and Joint Entity Resolution, while plugging in two different MAP inference methods: the current method of choice for MAP inference in Markov Logic, MaxWalkSAT, and Integer Linear Programming. We observe that when used with CPI both methods are significantly faster than when used alone. In addition, CPI improves the accuracy of MaxWalkSAT and maintains the exactness of Integer Linear Programming.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:43:49 GMT" } ]
1,339,977,600,000
[ [ "Riedel", "Sebastian", "" ] ]
1206.3283
Yan Radovilsky
Yan Radovilsky, Solomon Eyal Shimony
Observation Subset Selection as Local Compilation of Performance Profiles
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-460-467
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Deciding what to sense is a crucial task, made harder by dependencies and by a nonadditive utility function. We develop approximation algorithms for selecting an optimal set of measurements, under a dependency structure modeled by a tree-shaped Bayesian network (BN). Our approach is a generalization of composing anytime algorithm represented by conditional performance profiles. This is done by relaxing the input monotonicity assumption, and extending the local compilation technique to more general classes of performance profiles (PPs). We apply the extended scheme to selecting a subset of measurements for choosing a maximum expectation variable in a binary valued BN, and for minimizing the worst variance in a Gaussian BN.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:44:14 GMT" } ]
1,339,977,600,000
[ [ "Radovilsky", "Yan", "" ], [ "Shimony", "Solomon Eyal", "" ] ]
1206.3284
Lars Otten
Lars Otten, Rina Dechter
Bounding Search Space Size via (Hyper)tree Decompositions
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-452-459
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper develops a measure for bounding the performance of AND/OR search algorithms for solving a variety of queries over graphical models. We show how drawing a connection to the recent notion of hypertree decompositions allows to exploit determinism in the problem specification and produce tighter bounds. We demonstrate on a variety of practical problem instances that we are often able to improve upon existing bounds by several orders of magnitude.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:44:34 GMT" } ]
1,339,977,600,000
[ [ "Otten", "Lars", "" ], [ "Dechter", "Rina", "" ] ]
1206.3286
Matthew Streeter
Matthew Streeter, Stephen F. Smith
New Techniques for Algorithm Portfolio Design
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-519-527
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present and evaluate new techniques for designing algorithm portfolios. In our view, the problem has both a scheduling aspect and a machine learning aspect. Prior work has largely addressed one of the two aspects in isolation. Building on recent work on the scheduling aspect of the problem, we present a technique that addresses both aspects simultaneously and has attractive theoretical guarantees. Experimentally, we show that this technique can be used to improve the performance of state-of-the-art algorithms for Boolean satisfiability, zero-one integer programming, and A.I. planning.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:45:20 GMT" } ]
1,339,977,600,000
[ [ "Streeter", "Matthew", "" ], [ "Smith", "Stephen F.", "" ] ]
1206.3289
Tomas Singliar
Tomas Singliar, Denver Dash
Efficient inference in persistent Dynamic Bayesian Networks
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-494-502
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Numerous temporal inference tasks such as fault monitoring and anomaly detection exhibit a persistence property: for example, if something breaks, it stays broken until an intervention. When modeled as a Dynamic Bayesian Network, persistence adds dependencies between adjacent time slices, often making exact inference over time intractable using standard inference algorithms. However, we show that persistence implies a regular structure that can be exploited for efficient inference. We present three successively more general classes of models: persistent causal chains (PCCs), persistent causal trees (PCTs) and persistent polytrees (PPTs), and the corresponding exact inference algorithms that exploit persistence. We show that analytic asymptotic bounds for our algorithms compare favorably to junction tree inference; and we demonstrate empirically that we can perform exact smoothing on the order of 100 times faster than the approximate Boyen-Koller method on randomly generated instances of persistent tree models. We also show how to handle non-persistent variables and how persistence can be exploited effectively for approximate filtering.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:46:24 GMT" } ]
1,339,977,600,000
[ [ "Singliar", "Tomas", "" ], [ "Dash", "Denver", "" ] ]
1206.3291
Marc Toussaint
Marc Toussaint, Laurent Charlin, Pascal Poupart
Hierarchical POMDP Controller Optimization by Likelihood Maximization
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-562-570
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Planning can often be simpli ed by decomposing the task into smaller tasks arranged hierarchically. Charlin et al. [4] recently showed that the hierarchy discovery problem can be framed as a non-convex optimization problem. However, the inherent computational di culty of solving such an optimization problem makes it hard to scale to realworld problems. In another line of research, Toussaint et al. [18] developed a method to solve planning problems by maximumlikelihood estimation. In this paper, we show how the hierarchy discovery problem in partially observable domains can be tackled using a similar maximum likelihood approach. Our technique rst transforms the problem into a dynamic Bayesian network through which a hierarchical structure can naturally be discovered while optimizing the policy. Experimental results demonstrate that this approach scales better than previous techniques based on non-convex optimization.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:51:21 GMT" } ]
1,339,977,600,000
[ [ "Toussaint", "Marc", "" ], [ "Charlin", "Laurent", "" ], [ "Poupart", "Pascal", "" ] ]
1206.3292
Jin Tian
Jin Tian
Identifying Dynamic Sequential Plans
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-554-561
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We address the problem of identifying dynamic sequential plans in the framework of causal Bayesian networks, and show that the problem is reduced to identifying causal effects, for which there are complete identi cation algorithms available in the literature.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:51:48 GMT" } ]
1,339,977,600,000
[ [ "Tian", "Jin", "" ] ]
1206.3295
Haohai Yu
Haohai Yu, Robert A. van Engelen
Refractor Importance Sampling
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-603-609
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we introduce Refractor Importance Sampling (RIS), an improvement to reduce error variance in Bayesian network importance sampling propagation under evidential reasoning. We prove the existence of a collection of importance functions that are close to the optimal importance function under evidential reasoning. Based on this theoretic result we derive the RIS algorithm. RIS approaches the optimal importance function by applying localized arc changes to minimize the divergence between the evidence-adjusted importance function and the optimal importance function. The validity and performance of RIS is empirically tested with a large setof synthetic Bayesian networks and two real-world networks.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:53:49 GMT" } ]
1,339,977,600,000
[ [ "Yu", "Haohai", "" ], [ "van Engelen", "Robert A.", "" ] ]
1206.3296
Ydo Wexler
Ydo Wexler, Christopher Meek
Inference for Multiplicative Models
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-595-602
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture multiple forms of contextual independence between variables, including decision graphs and noisy-OR functions. An inference algorithm for multiplicative models is provided and its correctness is proved. The complexity analysis of the inference algorithm uses a more refined parameter than the tree-width of the underlying graph, and shows the computational cost does not exceed that of the variable elimination algorithm in graphical models. The paper ends with examples where using the new models and algorithm is computationally beneficial.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 15:55:04 GMT" } ]
1,339,977,600,000
[ [ "Wexler", "Ydo", "" ], [ "Meek", "Christopher", "" ] ]
1206.3318
Vanessa Burke
Michael Bowling, Martin Zinkevich
On Local Regret
This is the longer version of the same-titled paper appearing in the Proceedings of the Twenty-Ninth International Conference on Machine Learning (ICML), 2012
null
null
TR12-04
cs.AI
http://creativecommons.org/licenses/by/3.0/
Online learning aims to perform nearly as well as the best hypothesis in hindsight. For some hypothesis classes, though, even finding the best hypothesis offline is challenging. In such offline cases, local search techniques are often employed and only local optimality guaranteed. For online decision-making with such hypothesis classes, we introduce local regret, a generalization of regret that aims to perform nearly as well as only nearby hypotheses. We then present a general algorithm to minimize local regret with arbitrary locality graphs. We also show how the graph structure can be exploited to drastically speed learning. These algorithms are then demonstrated on a diverse set of online problems: online disjunct learning, online Max-SAT, and online decision tree learning.
[ { "version": "v1", "created": "Thu, 14 Jun 2012 20:07:30 GMT" } ]
1,339,977,600,000
[ [ "Bowling", "Michael", "" ], [ "Zinkevich", "Martin", "" ] ]
1206.3536
Marc Maier
Marc Maier, David Jensen
Identifying Independence in Relational Models
This paper has been revised and expanded. See "Reasoning about Independence in Probabilistic Models of Relational Data" http://arxiv.org/abs/1302.4381
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The rules of d-separation provide a framework for deriving conditional independence facts from model structure. However, this theory only applies to simple directed graphical models. We introduce relational d-separation, a theory for deriving conditional independence in relational models. We provide a sound, complete, and computationally efficient method for relational d-separation, and we present empirical results that demonstrate effectiveness.
[ { "version": "v1", "created": "Fri, 15 Jun 2012 18:23:56 GMT" }, { "version": "v2", "created": "Wed, 3 Oct 2012 18:21:10 GMT" }, { "version": "v3", "created": "Mon, 15 Apr 2013 13:42:19 GMT" } ]
1,366,070,400,000
[ [ "Maier", "Marc", "" ], [ "Jensen", "David", "" ] ]
1206.3551
Debarun Bhattacharjya
Debarun Bhattacharjya, Ross D. Shachter
Sensitivity analysis in decision circuits
Appears in Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008)
null
null
UAI-P-2008-PG-34-42
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Decision circuits have been developed to perform efficient evaluation of influence diagrams [Bhattacharjya and Shachter, 2007], building on the advances in arithmetic circuits for belief network inference [Darwiche,2003]. In the process of model building and analysis, we perform sensitivity analysis to understand how the optimal solution changes in response to changes in the model. When sequential decision problems under uncertainty are represented as decision circuits, we can exploit the efficient solution process embodied in the decision circuit and the wealth of derivative information available to compute the value of information for the uncertainties in the problem and the effects of changes to model parameters on the value and the optimal strategy.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 14:18:02 GMT" } ]
1,339,977,600,000
[ [ "Bhattacharjya", "Debarun", "" ], [ "Shachter", "Ross D.", "" ] ]
1206.3959
Jeff Bilmes
Jeff Bilmes, Andrew Ng
Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (2009)
null
null
null
UAI2009
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is the Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence, which was held in Montreal, QC, Canada, June 18 - 21 2009.
[ { "version": "v1", "created": "Wed, 13 Jun 2012 16:43:44 GMT" }, { "version": "v2", "created": "Thu, 28 Aug 2014 04:27:28 GMT" } ]
1,409,270,400,000
[ [ "Bilmes", "Jeff", "" ], [ "Ng", "Andrew", "" ] ]
1206.5242
Vibhav Gogate
Vibhav Gogate, Bozhena Bidyuk, Rina Dechter
Studies in Lower Bounding Probabilities of Evidence using the Markov Inequality
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-141-148
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Computing the probability of evidence even with known error bounds is NP-hard. In this paper we address this hard problem by settling on an easier problem. We propose an approximation which provides high confidence lower bounds on probability of evidence but does not have any guarantees in terms of relative or absolute error. Our proposed approximation is a randomized importance sampling scheme that uses the Markov inequality. However, a straight-forward application of the Markov inequality may lead to poor lower bounds. We therefore propose several heuristic measures to improve its performance in practice. Empirical evaluation of our scheme with state-of- the-art lower bounding schemes reveals the promise of our approach.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 14:53:07 GMT" } ]
1,340,668,800,000
[ [ "Gogate", "Vibhav", "" ], [ "Bidyuk", "Bozhena", "" ], [ "Dechter", "Rina", "" ] ]
1206.5244
Lucie Galand
Lucie Galand, Patrice Perny
Search for Choquet-optimal paths under uncertainty
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-125-132
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Choquet expected utility (CEU) is one of the most sophisticated decision criteria used in decision theory under uncertainty. It provides a generalisation of expected utility enhancing both descriptive and prescriptive possibilities. In this paper, we investigate the use of CEU for path-planning under uncertainty with a special focus on robust solutions. We first recall the main features of the CEU model and introduce some examples showing its descriptive potential. Then we focus on the search for Choquet-optimal paths in multivalued implicit graphs where costs depend on different scenarios. After discussing complexity issues, we propose two different heuristic search algorithms to solve the problem. Finally, numerical experiments are reported, showing the practical efficiency of the proposed algorithms.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 14:53:49 GMT" } ]
1,340,668,800,000
[ [ "Galand", "Lucie", "" ], [ "Perny", "Patrice", "" ] ]
1206.5249
Ashwin Deshpande
Ashwin Deshpande, Brian Milch, Luke S. Zettlemoyer, Leslie Pack Kaelbling
Learning Probabilistic Relational Dynamics for Multiple Tasks
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-83-92
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The ways in which an agent's actions affect the world can often be modeled compactly using a set of relational probabilistic planning rules. This paper addresses the problem of learning such rule sets for multiple related tasks. We take a hierarchical Bayesian approach, in which the system learns a prior distribution over rule sets. We present a class of prior distributions parameterized by a rule set prototype that is stochastically modified to produce a task-specific rule set. We also describe a coordinate ascent algorithm that iteratively optimizes the task-specific rule sets and the prior distribution. Experiments using this algorithm show that transferring information from related tasks significantly reduces the amount of training data required to predict action effects in blocks-world domains.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 14:55:37 GMT" } ]
1,340,668,800,000
[ [ "Deshpande", "Ashwin", "" ], [ "Milch", "Brian", "" ], [ "Zettlemoyer", "Luke S.", "" ], [ "Kaelbling", "Leslie Pack", "" ] ]
1206.5251
Arthur Choi
Arthur Choi, Mark Chavira, Adnan Darwiche
Node Splitting: A Scheme for Generating Upper Bounds in Bayesian Networks
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-57-66
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We formulate in this paper the mini-bucket algorithm for approximate inference in terms of exact inference on an approximate model produced by splitting nodes in a Bayesian network. The new formulation leads to a number of theoretical and practical implications. First, we show that branchand- bound search algorithms that use minibucket bounds may operate in a drastically reduced search space. Second, we show that the proposed formulation inspires new minibucket heuristics and allows us to analyze existing heuristics from a new perspective. Finally, we show that this new formulation allows mini-bucket approximations to benefit from recent advances in exact inference, allowing one to significantly increase the reach of these approximations.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 14:56:19 GMT" } ]
1,340,668,800,000
[ [ "Choi", "Arthur", "" ], [ "Chavira", "Mark", "" ], [ "Darwiche", "Adnan", "" ] ]
1206.5255
Darius Braziunas
Darius Braziunas, Craig Boutilier
Minimax regret based elicitation of generalized additive utilities
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-25-32
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe the semantic foundations for elicitation of generalized additively independent (GAI) utilities using the minimax regret criterion, and propose several new query types and strategies for this purpose. Computational feasibility is obtained by exploiting the local GAI structure in the model. Our results provide a practical approach for implementing preference-based constrained configuration optimization as well as effective search in multiattribute product databases.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 14:57:59 GMT" } ]
1,340,668,800,000
[ [ "Braziunas", "Darius", "" ], [ "Boutilier", "Craig", "" ] ]
1206.5257
Debarun Bhattacharjya
Debarun Bhattacharjya, Ross D. Shachter
Evaluating influence diagrams with decision circuits
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-9-16
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Although a number of related algorithms have been developed to evaluate influence diagrams, exploiting the conditional independence in the diagram, the exact solution has remained intractable for many important problems. In this paper we introduce decision circuits as a means to exploit the local structure usually found in decision problems and to improve the performance of influence diagram analysis. This work builds on the probabilistic inference algorithms using arithmetic circuits to represent Bayesian belief networks [Darwiche, 2003]. Once compiled, these arithmetic circuits efficiently evaluate probabilistic queries on the belief network, and methods have been developed to exploit both the global and local structure of the network. We show that decision circuits can be constructed in a similar fashion and promise similar benefits.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 14:59:08 GMT" } ]
1,340,668,800,000
[ [ "Bhattacharjya", "Debarun", "" ], [ "Shachter", "Ross D.", "" ] ]
1206.5258
Christopher Amato
Christopher Amato, Daniel S Bernstein, Shlomo Zilberstein
Optimizing Memory-Bounded Controllers for Decentralized POMDPs
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-1-8
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a memory-bounded optimization approach for solving infinite-horizon decentralized POMDPs. Policies for each agent are represented by stochastic finite state controllers. We formulate the problem of optimizing these policies as a nonlinear program, leveraging powerful existing nonlinear optimization techniques for solving the problem. While existing solvers only guarantee locally optimal solutions, we show that our formulation produces higher quality controllers than the state-of-the-art approach. We also incorporate a shared source of randomness in the form of a correlation device to further increase solution quality with only a limited increase in space and time. Our experimental results show that nonlinear optimization can be used to provide high quality, concise solutions to decentralized decision problems under uncertainty.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 14:59:30 GMT" } ]
1,340,668,800,000
[ [ "Amato", "Christopher", "" ], [ "Bernstein", "Daniel S", "" ], [ "Zilberstein", "Shlomo", "" ] ]
1206.5260
Suchi Saria
Suchi Saria, Uri Nodelman, Daphne Koller
Reasoning at the Right Time Granularity
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-326-334
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Most real-world dynamic systems are composed of different components that often evolve at very different rates. In traditional temporal graphical models, such as dynamic Bayesian networks, time is modeled at a fixed granularity, generally selected based on the rate at which the fastest component evolves. Inference must then be performed at this fastest granularity, potentially at significant computational cost. Continuous Time Bayesian Networks (CTBNs) avoid time-slicing in the representation by modeling the system as evolving continuously over time. The expectation-propagation (EP) inference algorithm of Nodelman et al. (2005) can then vary the inference granularity over time, but the granularity is uniform across all parts of the system, and must be selected in advance. In this paper, we provide a new EP algorithm that utilizes a general cluster graph architecture where clusters contain distributions that can overlap in both space (set of variables) and time. This architecture allows different parts of the system to be modeled at very different time granularities, according to their current rate of evolution. We also provide an information-theoretic criterion for dynamically re-partitioning the clusters during inference to tune the level of approximation to the current rate of evolution. This avoids the need to hand-select the appropriate granularity, and allows the granularity to adapt as information is transmitted across the network. We present experiments demonstrating that this approach can result in significant computational savings.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:00:31 GMT" } ]
1,340,668,800,000
[ [ "Saria", "Suchi", "" ], [ "Nodelman", "Uri", "" ], [ "Koller", "Daphne", "" ] ]
1206.5266
Robert Mateescu
Robert Mateescu, Rina Dechter
AND/OR Multi-Valued Decision Diagrams (AOMDDs) for Weighted Graphical Models
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-276-284
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Compiling graphical models has recently been under intense investigation, especially for probabilistic modeling and processing. We present here a novel data structure for compiling weighted graphical models (in particular, probabilistic models), called AND/OR Multi-Valued Decision Diagram (AOMDD). This is a generalization of our previous work on constraint networks, to weighted models. The AOMDD is based on the frameworks of AND/OR search spaces for graphical models, and Ordered Binary Decision Diagrams (OBDD). The AOMDD is a canonical representation of a graphical model, and its size and compilation time are bounded exponentially by the treewidth of the graph, rather than pathwidth as is known for OBDDs. We discuss a Variable Elimination schedule for compilation, and present the general APPLY algorithm that combines two weighted AOMDDs, and also present a search based method for compilation method. The preliminary experimental evaluation is quite encouraging, showing the potential of the AOMDD data structure.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:02:53 GMT" } ]
1,340,668,800,000
[ [ "Mateescu", "Robert", "" ], [ "Dechter", "Rina", "" ] ]
1206.5268
Radu Marinescu
Radu Marinescu, Rina Dechter
Best-First AND/OR Search for Most Probable Explanations
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-259-266
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The paper evaluates the power of best-first search over AND/OR search spaces for solving the Most Probable Explanation (MPE) task in Bayesian networks. The main virtue of the AND/OR representation of the search space is its sensitivity to the structure of the problem, which can translate into significant time savings. In recent years depth-first AND/OR Branch-and- Bound algorithms were shown to be very effective when exploring such search spaces, especially when using caching. Since best-first strategies are known to be superior to depth-first when memory is utilized, exploring the best-first control strategy is called for. The main contribution of this paper is in showing that a recent extension of AND/OR search algorithms from depth-first Branch-and-Bound to best-first is indeed very effective for computing the MPE in Bayesian networks. We demonstrate empirically the superiority of the best-first search approach on various probabilistic networks.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:04:10 GMT" } ]
1,340,668,800,000
[ [ "Marinescu", "Radu", "" ], [ "Dechter", "Rina", "" ] ]
1206.5271
Eric Lantz
Eric Lantz, Soumya Ray, David Page
Learning Bayesian Network Structure from Correlation-Immune Data
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-235-242
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Searching the complete space of possible Bayesian networks is intractable for problems of interesting size, so Bayesian network structure learning algorithms, such as the commonly used Sparse Candidate algorithm, employ heuristics. However, these heuristics also restrict the types of relationships that can be learned exclusively from data. They are unable to learn relationships that exhibit "correlation-immunity", such as parity. To learn Bayesian networks in the presence of correlation-immune relationships, we extend the Sparse Candidate algorithm with a technique called "skewing". This technique uses the observation that relationships that are correlation-immune under a specific input distribution may not be correlation-immune under another, sufficiently different distribution. We show that by extending Sparse Candidate with this technique we are able to discover relationships between random variables that are approximately correlation-immune, with a significantly lower computational cost than the alternative of considering multiple parents of a node at a time.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:05:10 GMT" } ]
1,340,668,800,000
[ [ "Lantz", "Eric", "" ], [ "Ray", "Soumya", "" ], [ "Page", "David", "" ] ]
1206.5273
Lukas Kroc
Lukas Kroc, Ashish Sabharwal, Bart Selman
Survey Propagation Revisited
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-217-226
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Survey propagation (SP) is an exciting new technique that has been remarkably successful at solving very large hard combinatorial problems, such as determining the satisfiability of Boolean formulas. In a promising attempt at understanding the success of SP, it was recently shown that SP can be viewed as a form of belief propagation, computing marginal probabilities over certain objects called covers of a formula. This explanation was, however, shortly dismissed by experiments suggesting that non-trivial covers simply do not exist for large formulas. In this paper, we show that these experiments were misleading: not only do covers exist for large hard random formulas, SP is surprisingly accurate at computing marginals over these covers despite the existence of many cycles in the formulas. This re-opens a potentially simpler line of reasoning for understanding SP, in contrast to some alternative lines of explanation that have been proposed assuming covers do not exist.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:05:48 GMT" } ]
1,340,668,800,000
[ [ "Kroc", "Lukas", "" ], [ "Sabharwal", "Ashish", "" ], [ "Selman", "Bart", "" ] ]
1206.5276
Ariel Jaimovich
Ariel Jaimovich, Ofer Meshi, Nir Friedman
Template Based Inference in Symmetric Relational Markov Random Fields
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-191-199
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Relational Markov Random Fields are a general and flexible framework for reasoning about the joint distribution over attributes of a large number of interacting entities. The main computational difficulty in learning such models is inference. Even when dealing with complete data, where one can summarize a large domain by sufficient statistics, learning requires one to compute the expectation of the sufficient statistics given different parameter choices. The typical solution to this problem is to resort to approximate inference procedures, such as loopy belief propagation. Although these procedures are quite efficient, they still require computation that is on the order of the number of interactions (or features) in the model. When learning a large relational model over a complex domain, even such approximations require unrealistic running time. In this paper we show that for a particular class of relational MRFs, which have inherent symmetry, we can perform the inference needed for learning procedures using a template-level belief propagation. This procedure's running time is proportional to the size of the relational model rather than the size of the domain. Moreover, we show that this computational procedure is equivalent to sychronous loopy belief propagation. This enables a dramatic speedup in inference and learning time. We use this procedure to learn relational MRFs for capturing the joint distribution of large protein-protein interaction networks.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:06:55 GMT" } ]
1,340,668,800,000
[ [ "Jaimovich", "Ariel", "" ], [ "Meshi", "Ofer", "" ], [ "Friedman", "Nir", "" ] ]
1206.5284
Fusun Yaman
Fusun Yaman, Marie desJardins
More-or-Less CP-Networks
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-434-441
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Preferences play an important role in our everyday lives. CP-networks, or CP-nets in short, are graphical models for representing conditional qualitative preferences under ceteris paribus ("all else being equal") assumptions. Despite their intuitive nature and rich representation, dominance testing with CP-nets is computationally complex, even when the CP-nets are restricted to binary-valued preferences. Tractable algorithms exist for binary CP-nets, but these algorithms are incomplete for multi-valued CPnets. In this paper, we identify a class of multivalued CP-nets, which we call more-or-less CPnets, that have the same computational complexity as binary CP-nets. More-or-less CP-nets exploit the monotonicity of the attribute values and use intervals to aggregate values that induce similar preferences. We then present a search control rule for dominance testing that effectively prunes the search space while preserving completeness.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:15:21 GMT" } ]
1,340,668,800,000
[ [ "Yaman", "Fusun", "" ], [ "desJardins", "Marie", "" ] ]
1206.5287
Chenggang Wang
Chenggang Wang, Roni Khardon
Policy Iteration for Relational MDPs
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-408-415
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Relational Markov Decision Processes are a useful abstraction for complex reinforcement learning problems and stochastic planning problems. Recent work developed representation schemes and algorithms for planning in such problems using the value iteration algorithm. However, exact versions of more complex algorithms, including policy iteration, have not been developed or analyzed. The paper investigates this potential and makes several contributions. First we observe two anomalies for relational representations showing that the value of some policies is not well defined or cannot be calculated for restricted representation schemes used in the literature. On the other hand, we develop a variant of policy iteration that can get around these anomalies. The algorithm includes an aspect of policy improvement in the process of policy evaluation and thus differs from the original algorithm. We show that despite this difference the algorithm converges to the optimal policy.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:16:29 GMT" } ]
1,340,668,800,000
[ [ "Wang", "Chenggang", "" ], [ "Khardon", "Roni", "" ] ]
1206.5292
Parag Singla
Parag Singla, Pedro Domingos
Markov Logic in Infinite Domains
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-368-375
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Combining first-order logic and probability has long been a goal of AI. Markov logic (Richardson & Domingos, 2006) accomplishes this by attaching weights to first-order formulas and viewing them as templates for features of Markov networks. Unfortunately, it does not have the full power of first-order logic, because it is only defined for finite domains. This paper extends Markov logic to infinite domains, by casting it in the framework of Gibbs measures (Georgii, 1988). We show that a Markov logic network (MLN) admits a Gibbs measure as long as each ground atom has a finite number of neighbors. Many interesting cases fall in this category. We also show that an MLN admits a unique measure if the weights of its non-unit clauses are small enough. We then examine the structure of the set of consistent measures in the non-unique case. Many important phenomena, including systems with phase transitions, are represented by MLNs with non-unique measures. We relate the problem of satisfiability in first-order logic to the properties of MLN measures, and discuss how Markov logic relates to previous infinite models.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:18:47 GMT" } ]
1,340,668,800,000
[ [ "Singla", "Parag", "" ], [ "Domingos", "Pedro", "" ] ]
1206.5294
Ilya Shpitser
Ilya Shpitser, Judea Pearl
What Counterfactuals Can Be Tested
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-352-359
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Counterfactual statements, e.g., "my headache would be gone had I taken an aspirin" are central to scientific discourse, and are formally interpreted as statements derived from "alternative worlds". However, since they invoke hypothetical states of affairs, often incompatible with what is actually known or observed, testing counterfactuals is fraught with conceptual and practical difficulties. In this paper, we provide a complete characterization of "testable counterfactuals," namely, counterfactual statements whose probabilities can be inferred from physical experiments. We provide complete procedures for discerning whether a given counterfactual is testable and, if so, expressing its probability in terms of experimental data.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:19:30 GMT" } ]
1,340,668,800,000
[ [ "Shpitser", "Ilya", "" ], [ "Pearl", "Judea", "" ] ]
1206.5295
Sven Seuken
Sven Seuken, Shlomo Zilberstein
Improved Memory-Bounded Dynamic Programming for Decentralized POMDPs
Appears in Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence (UAI2007)
null
null
UAI-P-2007-PG-344-351
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Memory-Bounded Dynamic Programming (MBDP) has proved extremely effective in solving decentralized POMDPs with large horizons. We generalize the algorithm and improve its scalability by reducing the complexity with respect to the number of observations from exponential to polynomial. We derive error bounds on solution quality with respect to this new approximation and analyze the convergence behavior. To evaluate the effectiveness of the improvements, we introduce a new, larger benchmark problem. Experimental results show that despite the high complexity of decentralized POMDPs, scalable solution techniques such as MBDP perform surprisingly well.
[ { "version": "v1", "created": "Wed, 20 Jun 2012 15:19:47 GMT" } ]
1,340,668,800,000
[ [ "Seuken", "Sven", "" ], [ "Zilberstein", "Shlomo", "" ] ]
1206.5698
Jesse Hoey
Marek Grzes and Jesse Hoey and Shehroz Khan and Alex Mihailidis and Stephen Czarnuch and Dan Jackson and Andrew Monk
Relational Approach to Knowledge Engineering for POMDP-based Assistance Systems as a Translation of a Psychological Model
null
null
10.1016/j.ijar.2013.03.006
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Assistive systems for persons with cognitive disabilities (e.g. dementia) are difficult to build due to the wide range of different approaches people can take to accomplishing the same task, and the significant uncertainties that arise from both the unpredictability of client's behaviours and from noise in sensor readings. Partially observable Markov decision process (POMDP) models have been used successfully as the reasoning engine behind such assistive systems for small multi-step tasks such as hand washing. POMDP models are a powerful, yet flexible framework for modelling assistance that can deal with uncertainty and utility. Unfortunately, POMDPs usually require a very labour intensive, manual procedure for their definition and construction. Our previous work has described a knowledge driven method for automatically generating POMDP activity recognition and context sensitive prompting systems for complex tasks. We call the resulting POMDP a SNAP (SyNdetic Assistance Process). The spreadsheet-like result of the analysis does not correspond to the POMDP model directly and the translation to a formal POMDP representation is required. To date, this translation had to be performed manually by a trained POMDP expert. In this paper, we formalise and automate this translation process using a probabilistic relational model (PRM) encoded in a relational database. We demonstrate the method by eliciting three assistance tasks from non-experts. We validate the resulting POMDP models using case-based simulations to show that they are reasonable for the domains. We also show a complete case study of a designer specifying one database, including an evaluation in a real-life experiment with a human actor.
[ { "version": "v1", "created": "Mon, 25 Jun 2012 14:46:15 GMT" } ]
1,371,772,800,000
[ [ "Grzes", "Marek", "" ], [ "Hoey", "Jesse", "" ], [ "Khan", "Shehroz", "" ], [ "Mihailidis", "Alex", "" ], [ "Czarnuch", "Stephen", "" ], [ "Jackson", "Dan", "" ], [ "Monk", "Andrew", "" ] ]
1206.5833
Guido Governatori
Guido Governatori, Francesco Olivieri, Simone Scannapieco and Matteo Cristani
Revision of Defeasible Logic Preferences
null
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
There are several contexts of non-monotonic reasoning where a priority between rules is established whose purpose is preventing conflicts. One formalism that has been widely employed for non-monotonic reasoning is the sceptical one known as Defeasible Logic. In Defeasible Logic the tool used for conflict resolution is a preference relation between rules, that establishes the priority among them. In this paper we investigate how to modify such a preference relation in a defeasible logic theory in order to change the conclusions of the theory itself. We argue that the approach we adopt is applicable to legal reasoning where users, in general, cannot change facts or rules, but can propose their preferences about the relative strength of the rules. We provide a comprehensive study of the possible combinatorial cases and we identify and analyse the cases where the revision process is successful. After this analysis, we identify three revision/update operators and study them against the AGM postulates for belief revision operators, to discover that only a part of these postulates are satisfied by the three operators.
[ { "version": "v1", "created": "Mon, 25 Jun 2012 20:46:46 GMT" }, { "version": "v2", "created": "Fri, 23 Nov 2012 11:35:20 GMT" } ]
1,353,888,000,000
[ [ "Governatori", "Guido", "" ], [ "Olivieri", "Francesco", "" ], [ "Scannapieco", "Simone", "" ], [ "Cristani", "Matteo", "" ] ]
1206.5928
Truong-Huy Nguyen
Truong-Huy Dinh Nguyen, David Hsu, Wee-Sun Lee, Tze-Yun Leong, Leslie Pack Kaelbling, Tomas Lozano-Perez, Andrew Haydn Grant
CAPIR: Collaborative Action Planning with Intention Recognition
6 pages, accepted for presentation at AIIDE'11
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We apply decision theoretic techniques to construct non-player characters that are able to assist a human player in collaborative games. The method is based on solving Markov decision processes, which can be difficult when the game state is described by many variables. To scale to more complex games, the method allows decomposition of a game task into subtasks, each of which can be modelled by a Markov decision process. Intention recognition is used to infer the subtask that the human is currently performing, allowing the helper to assist the human in performing the correct task. Experiments show that the method can be effective, giving near-human level performance in helping a human in a collaborative game.
[ { "version": "v1", "created": "Tue, 26 Jun 2012 09:13:53 GMT" } ]
1,340,755,200,000
[ [ "Nguyen", "Truong-Huy Dinh", "" ], [ "Hsu", "David", "" ], [ "Lee", "Wee-Sun", "" ], [ "Leong", "Tze-Yun", "" ], [ "Kaelbling", "Leslie Pack", "" ], [ "Lozano-Perez", "Tomas", "" ], [ "Grant", "Andrew Haydn", "" ] ]
1206.5940
Truong-Huy Nguyen
Truong-Huy Dinh Nguyen, Wee-Sun Lee, and Tze-Yun Leong
Bootstrapping Monte Carlo Tree Search with an Imperfect Heuristic
16 pages, accepted for presentation at ECML'12
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the problem of using a heuristic policy to improve the value approximation by the Upper Confidence Bound applied in Trees (UCT) algorithm in non-adversarial settings such as planning with large-state space Markov Decision Processes. Current improvements to UCT focus on either changing the action selection formula at the internal nodes or the rollout policy at the leaf nodes of the search tree. In this work, we propose to add an auxiliary arm to each of the internal nodes, and always use the heuristic policy to roll out simulations at the auxiliary arms. The method aims to get fast convergence to optimal values at states where the heuristic policy is optimal, while retaining similar approximation as the original UCT in other states. We show that bootstrapping with the proposed method in the new algorithm, UCT-Aux, performs better compared to the original UCT algorithm and its variants in two benchmark experiment settings. We also examine conditions under which UCT-Aux works well.
[ { "version": "v1", "created": "Tue, 26 Jun 2012 09:53:59 GMT" } ]
1,340,755,200,000
[ [ "Nguyen", "Truong-Huy Dinh", "" ], [ "Lee", "Wee-Sun", "" ], [ "Leong", "Tze-Yun", "" ] ]
1206.6817
Arthur Choi
Arthur Choi, Adnan Darwiche
A Variational Approach for Approximating Bayesian Networks by Edge Deletion
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-80-89
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider in this paper the formulation of approximate inference in Bayesian networks as a problem of exact inference on an approximate network that results from deleting edges (to reduce treewidth). We have shown in earlier work that deleting edges calls for introducing auxiliary network parameters to compensate for lost dependencies, and proposed intuitive conditions for determining these parameters. We have also shown that our method corresponds to IBP when enough edges are deleted to yield a polytree, and corresponds to some generalizations of IBP when fewer edges are deleted. In this paper, we propose a different criteria for determining auxiliary parameters based on optimizing the KL-divergence between the original and approximate networks. We discuss the relationship between the two methods for selecting parameters, shedding new light on IBP and its generalizations. We also discuss the application of our new method to approximating inference problems which are exponential in constrained treewidth, including MAP and nonmyopic value of information.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 15:38:46 GMT" } ]
1,341,187,200,000
[ [ "Choi", "Arthur", "" ], [ "Darwiche", "Adnan", "" ] ]
1206.6819
Hei Chan
Hei Chan, Adnan Darwiche
On the Robustness of Most Probable Explanations
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-63-71
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In Bayesian networks, a Most Probable Explanation (MPE) is a complete variable instantiation with a highest probability given the current evidence. In this paper, we discuss the problem of finding robustness conditions of the MPE under single parameter changes. Specifically, we ask the question: How much change in a single network parameter can we afford to apply while keeping the MPE unchanged? We will describe a procedure, which is the first of its kind, that computes this answer for each parameter in the Bayesian network variable in time O(n exp(w)), where n is the number of network variables and w is its treewidth.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 15:39:15 GMT" } ]
1,341,187,200,000
[ [ "Chan", "Hei", "" ], [ "Darwiche", "Adnan", "" ] ]
1206.6822
Bozhena Bidyuk
Bozhena Bidyuk, Rina Dechter
Cutset Sampling with Likelihood Weighting
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-39-46
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The paper analyzes theoretically and empirically the performance of likelihood weighting (LW) on a subset of nodes in Bayesian networks. The proposed scheme requires fewer samples to converge due to reduction in sampling variance. The method exploits the structure of the network to bound the complexity of exact inference used to compute sampling distributions, similar to Gibbs cutset sampling. Yet, the extension of the previosly proposed cutset sampling principles to likelihood weighting is non-trivial due to differences in the sampling processes of Gibbs sampler and LW. We demonstrate empirically that likelihood weighting on a cutset (LWLC) is effective time-wise and has a lower rejection rate than LW when applied to networks with many deterministic probabilities. Finally, we show that the performance of likelihood weighting on a cutset can be improved further by caching computed sampling distributions and, consequently, learning 'zeros' of the target distribution.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 15:40:35 GMT" } ]
1,341,187,200,000
[ [ "Bidyuk", "Bozhena", "" ], [ "Dechter", "Rina", "" ] ]
1206.6823
Yaxin Bi
Yaxin Bi, Jiwen W. Guan
An Efficient Triplet-based Algorithm for Evidential Reasoning
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-31-38
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Linear-time computational techniques have been developed for combining evidence which is available on a number of contending hypotheses. They offer a means of making the computation-intensive calculations involved more efficient in certain circumstances. Unfortunately, they restrict the orthogonal sum of evidential functions to the dichotomous structure applies only to elements and their complements. In this paper, we present a novel evidence structure in terms of a triplet and a set of algorithms for evidential reasoning. The merit of this structure is that it divides a set of evidence into three subsets, distinguishing trivial evidential elements from important ones focusing some particular elements. It avoids the deficits of the dichotomous structure in representing the preference of evidence and estimating the basic probability assignment of evidence. We have established a formalism for this structure and the general formulae for combining pieces of evidence in the form of the triplet, which have been theoretically justified.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 15:40:48 GMT" } ]
1,341,187,200,000
[ [ "Bi", "Yaxin", "" ], [ "Guan", "Jiwen W.", "" ] ]
1206.6827
Chalee Asavathiratham
Chalee Asavathiratham
Linear Algebra Approach to Separable Bayesian Networks
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-1-6
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Separable Bayesian Networks, or the Influence Model, are dynamic Bayesian Networks in which the conditional probability distribution can be separated into a function of only the marginal distribution of a node's neighbors, instead of the joint distributions. In terms of modeling, separable networks has rendered possible siginificant reduction in complexity, as the state space is only linear in the number of variables on the network, in contrast to a typical state space which is exponential. In this work, We describe the connection between an arbitrary Conditional Probability Table (CPT) and separable systems using linear algebra. We give an alternate proof on the equivalence of sufficiency and separability. We present a computational method for testing whether a given CPT is separable.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 15:41:47 GMT" } ]
1,341,187,200,000
[ [ "Asavathiratham", "Chalee", "" ] ]
1206.6831
Yimin Huang
Yimin Huang, Marco Valtorta
Pearl's Calculus of Intervention Is Complete
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-217-224
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper is concerned with graphical criteria that can be used to solve the problem of identifying casual effects from nonexperimental data in a causal Bayesian network structure, i.e., a directed acyclic graph that represents causal relationships. We first review Pearl's work on this topic [Pearl, 1995], in which several useful graphical criteria are presented. Then we present a complete algorithm [Huang and Valtorta, 2006b] for the identifiability problem. By exploiting the completeness of this algorithm, we prove that the three basic do-calculus rules that Pearl presents are complete, in the sense that, if a causal effect is identifiable, there exists a sequence of applications of the rules of the do-calculus that transforms the causal effect formula into a formula that only includes observational quantities.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:17:19 GMT" } ]
1,341,187,200,000
[ [ "Huang", "Yimin", "" ], [ "Valtorta", "Marco", "" ] ]
1206.6834
Phan H. Giang
Phan H. Giang
A new axiomatization for likelihood gambles
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-192-199
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper studies a new and more general axiomatization than one presented previously for preference on likelihood gambles. Likelihood gambles describe actions in a situation where a decision maker knows multiple probabilistic models and a random sample generated from one of those models but does not know prior probability of models. This new axiom system is inspired by Jensen's axiomatization of probabilistic gambles. Our approach provides a new perspective to the role of data in decision making under ambiguity. It avoids one of the most controversial issue of Bayesian methodology namely the assumption of prior probability.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:18:21 GMT" } ]
1,341,187,200,000
[ [ "Giang", "Phan H.", "" ] ]
1206.6835
Nir Friedman
Nir Friedman, Raz Kupferman
Dimension Reduction in Singularly Perturbed Continuous-Time Bayesian Networks
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-182-191
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Continuous-time Bayesian networks (CTBNs) are graphical representations of multi-component continuous-time Markov processes as directed graphs. The edges in the network represent direct influences among components. The joint rate matrix of the multi-component process is specified by means of conditional rate matrices for each component separately. This paper addresses the situation where some of the components evolve on a time scale that is much shorter compared to the time scale of the other components. In this paper, we prove that in the limit where the separation of scales is infinite, the Markov process converges (in distribution, or weakly) to a reduced, or effective Markov process that only involves the slow components. We also demonstrate that for reasonable separation of scale (an order of magnitude) the reduced process is a good approximation of the marginal process over the slow components. We provide a simple procedure for building a reduced CTBN for this effective process, with conditional rate matrices that can be directly calculated from the original CTBN, and discuss the implications for approximate reasoning in large systems.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:18:35 GMT" } ]
1,341,187,200,000
[ [ "Friedman", "Nir", "" ], [ "Kupferman", "Raz", "" ] ]
1206.6836
Norman Ferns
Norman Ferns, Pablo Samuel Castro, Doina Precup, Prakash Panangaden
Methods for computing state similarity in Markov Decision Processes
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-174-181
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A popular approach to solving large probabilistic systems relies on aggregating states based on a measure of similarity. Many approaches in the literature are heuristic. A number of recent methods rely instead on metrics based on the notion of bisimulation, or behavioral equivalence between states (Givan et al, 2001, 2003; Ferns et al, 2004). An integral component of such metrics is the Kantorovich metric between probability distributions. However, while this metric enables many satisfying theoretical properties, it is costly to compute in practice. In this paper, we use techniques from network optimization and statistical sampling to overcome this problem. We obtain in this manner a variety of distance functions for MDP state aggregation, which differ in the tradeoff between time and space complexity, as well as the quality of the aggregation. We provide an empirical evaluation of these trade-offs.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:18:48 GMT" } ]
1,341,187,200,000
[ [ "Ferns", "Norman", "" ], [ "Castro", "Pablo Samuel", "" ], [ "Precup", "Doina", "" ], [ "Panangaden", "Prakash", "" ] ]
1206.6837
Gal Elidan
Gal Elidan, Ian McGraw, Daphne Koller
Residual Belief Propagation: Informed Scheduling for Asynchronous Message Passing
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-165-173
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Inference for probabilistic graphical models is still very much a practical challenge in large domains. The commonly used and effective belief propagation (BP) algorithm and its generalizations often do not converge when applied to hard, real-life inference tasks. While it is widely recognized that the scheduling of messages in these algorithms may have significant consequences, this issue remains largely unexplored. In this work, we address the question of how to schedule messages for asynchronous propagation so that a fixed point is reached faster and more often. We first show that any reasonable asynchronous BP converges to a unique fixed point under conditions similar to those that guarantee convergence of synchronous BP. In addition, we show that the convergence rate of a simple round-robin schedule is at least as good as that of synchronous propagation. We then propose residual belief propagation (RBP), a novel, easy-to-implement, asynchronous propagation algorithm that schedules messages in an informed way, that pushes down a bound on the distance from the fixed point. Finally, we demonstrate the superiority of RBP over state-of-the-art methods for a variety of challenging synthetic and real-life problems: RBP converges significantly more often than other methods; and it significantly reduces running time until convergence, even when other methods converge.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:19:01 GMT" } ]
1,341,187,200,000
[ [ "Elidan", "Gal", "" ], [ "McGraw", "Ian", "" ], [ "Koller", "Daphne", "" ] ]
1206.6841
Vanessa Didelez
Vanessa Didelez
Asymmetric separation for local independence graphs
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-130-137
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Directed possibly cyclic graphs have been proposed by Didelez (2000) and Nodelmann et al. (2002) in order to represent the dynamic dependencies among stochastic processes. These dependencies are based on a generalization of Granger-causality to continuous time, first developed by Schweder (1970) for Markov processes, who called them local dependencies. They deserve special attention as they are asymmetric unlike stochastic (in)dependence. In this paper we focus on their graphical representation and develop a suitable, i.e. asymmetric notion of separation, called delta-separation. The properties of this graph separation as well as of local independence are investigated in detail within a framework of asymmetric (semi)graphoids allowing a deeper insight into what information can be read off these graphs.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:20:13 GMT" } ]
1,341,187,200,000
[ [ "Didelez", "Vanessa", "" ] ]
1206.6844
Cedric Pralet
Cedric Pralet, Thomas Schiex, Gerard Verfaillie
From influence diagrams to multi-operator cluster DAGs
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-393-400
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
There exist several architectures to solve influence diagrams using local computations, such as the Shenoy-Shafer, the HUGIN, or the Lazy Propagation architectures. They all extend usual variable elimination algorithms thanks to the use of so-called 'potentials'. In this paper, we introduce a new architecture, called the Multi-operator Cluster DAG architecture, which can produce decompositions with an improved constrained induced-width, and therefore induce potentially exponential gains. Its principle is to benefit from the composite nature of influence diagrams, instead of using uniform potentials, in order to better analyze the problem structure.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:21:20 GMT" } ]
1,341,187,200,000
[ [ "Pralet", "Cedric", "" ], [ "Schiex", "Thomas", "" ], [ "Verfaillie", "Gerard", "" ] ]
1206.6849
Brian Milch
Brian Milch, Stuart Russell
General-Purpose MCMC Inference over Relational Structures
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-349-358
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Tasks such as record linkage and multi-target tracking, which involve reconstructing the set of objects that underlie some observed data, are particularly challenging for probabilistic inference. Recent work has achieved efficient and accurate inference on such problems using Markov chain Monte Carlo (MCMC) techniques with customized proposal distributions. Currently, implementing such a system requires coding MCMC state representations and acceptance probability calculations that are specific to a particular application. An alternative approach, which we pursue in this paper, is to use a general-purpose probabilistic modeling language (such as BLOG) and a generic Metropolis-Hastings MCMC algorithm that supports user-supplied proposal distributions. Our algorithm gains flexibility by using MCMC states that are only partial descriptions of possible worlds; we provide conditions under which MCMC over partial worlds yields correct answers to queries. We also show how to use a context-specific Bayes net to identify the factors in the acceptance probability that need to be computed for a given proposed move. Experimental results on a citation matching task show that our general-purpose MCMC engine compares favorably with an application-specific system.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:24:15 GMT" } ]
1,341,187,200,000
[ [ "Milch", "Brian", "" ], [ "Russell", "Stuart", "" ] ]
1206.6854
Anders L. Madsen
Anders L. Madsen
Belief Update in CLG Bayesian Networks With Lazy Propagation
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-306-313
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In recent years Bayesian networks (BNs) with a mixture of continuous and discrete variables have received an increasing level of attention. We present an architecture for exact belief update in Conditional Linear Gaussian BNs (CLG BNs). The architecture is an extension of lazy propagation using operations of Lauritzen & Jensen [6] and Cowell [2]. By decomposing clique and separator potentials into sets of factors, the proposed architecture takes advantage of independence and irrelevance properties induced by the structure of the graph and the evidence. The resulting benefits are illustrated by examples. Results of a preliminary empirical performance evaluation indicate a significant potential of the proposed architecture.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:25:42 GMT" } ]
1,341,187,200,000
[ [ "Madsen", "Anders L.", "" ] ]
1206.6856
Seunghwan Lee
Seunghwan Lee
Reasoning about Uncertainty in Metric Spaces
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-289-297
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We set up a model for reasoning about metric spaces with belief theoretic measures. The uncertainty in these spaces stems from both probability and metric. To represent both aspect of uncertainty, we choose an expected distance function as a measure of uncertainty. A formal logical system is constructed for the reasoning about expected distance. Soundness and completeness are shown for this logic. For reasoning on product metric space with uncertainty, a new metric is defined and shown to have good properties.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:26:12 GMT" } ]
1,341,187,200,000
[ [ "Lee", "Seunghwan", "" ] ]
1206.6859
Kathryn Blackmond Laskey
Kathryn Blackmond Laskey, Ning Xu, Chun-Hung Chen
Propagation of Delays in the National Airspace System
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-265-272
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The National Airspace System (NAS) is a large and complex system with thousands of interrelated components: administration, control centers, airports, airlines, aircraft, passengers, etc. The complexity of the NAS creates many difficulties in management and control. One of the most pressing problems is flight delay. Delay creates high cost to airlines, complaints from passengers, and difficulties for airport operations. As demand on the system increases, the delay problem becomes more and more prominent. For this reason, it is essential for the Federal Aviation Administration to understand the causes of delay and to find ways to reduce delay. Major contributing factors to delay are congestion at the origin airport, weather, increasing demand, and air traffic management (ATM) decisions such as the Ground Delay Programs (GDP). Delay is an inherently stochastic phenomenon. Even if all known causal factors could be accounted for, macro-level national airspace system (NAS) delays could not be predicted with certainty from micro-level aircraft information. This paper presents a stochastic model that uses Bayesian Networks (BNs) to model the relationships among different components of aircraft delay and the causal factors that affect delays. A case study on delays of departure flights from Chicago O'Hare international airport (ORD) to Hartsfield-Jackson Atlanta International Airport (ATL) reveals how local and system level environmental and human-caused factors combine to affect components of delay, and how these components contribute to the final arrival delay at the destination airport.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:27:12 GMT" } ]
1,341,187,200,000
[ [ "Laskey", "Kathryn Blackmond", "" ], [ "Xu", "Ning", "" ], [ "Chen", "Chun-Hung", "" ] ]
1206.6869
Amarnag Subramanya
Amarnag Subramanya, Alvin Raj, Jeff A. Bilmes, Dieter Fox
Recognizing Activities and Spatial Context Using Wearable Sensors
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-494-502
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce a new dynamic model with the capability of recognizing both activities that an individual is performing as well as where that ndividual is located. Our model is novel in that it utilizes a dynamic graphical model to jointly estimate both activity and spatial context over time based on the simultaneous use of asynchronous observations consisting of GPS measurements, and measurements from a small mountable sensor board. Joint inference is quite desirable as it has the ability to improve accuracy of the model. A key goal, however, in designing our overall system is to be able to perform accurate inference decisions while minimizing the amount of hardware an individual must wear. This minimization leads to greater comfort and flexibility, decreased power requirements and therefore increased battery life, and reduced cost. We show results indicating that our joint measurement model outperforms measurements from either the sensor board or GPS alone, using two types of probabilistic inference procedures, namely particle filtering and pruned exact inference.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:29:30 GMT" } ]
1,341,187,200,000
[ [ "Subramanya", "Amarnag", "" ], [ "Raj", "Alvin", "" ], [ "Bilmes", "Jeff A.", "" ], [ "Fox", "Dieter", "" ] ]
1206.6875
Tomi Silander
Tomi Silander, Petri Myllymaki
A simple approach for finding the globally optimal Bayesian network structure
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-445-452
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the problem of learning the best Bayesian network structure with respect to a decomposable score such as BDe, BIC or AIC. This problem is known to be NP-hard, which means that solving it becomes quickly infeasible as the number of variables increases. Nevertheless, in this paper we show that it is possible to learn the best Bayesian network structure with over 30 variables, which covers many practically interesting cases. Our algorithm is less complicated and more efficient than the techniques presented earlier. It can be easily parallelized, and offers a possibility for efficient exploration of the best networks consistent with different variable orderings. In the experimental part of the paper we compare the performance of the algorithm to the previous state-of-the-art algorithm. Free source-code and an online-demo can be found at http://b-course.hiit.fi/bene.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:30:42 GMT" } ]
1,341,187,200,000
[ [ "Silander", "Tomi", "" ], [ "Myllymaki", "Petri", "" ] ]
1206.6879
Scott Sanner
Scott Sanner, Craig Boutilier
Practical Linear Value-approximation Techniques for First-order MDPs
Appears in Proceedings of the Twenty-Second Conference on Uncertainty in Artificial Intelligence (UAI2006)
null
null
UAI-P-2006-PG-409-417
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recent work on approximate linear programming (ALP) techniques for first-order Markov Decision Processes (FOMDPs) represents the value function linearly w.r.t. a set of first-order basis functions and uses linear programming techniques to determine suitable weights. This approach offers the advantage that it does not require simplification of the first-order value function, and allows one to solve FOMDPs independent of a specific domain instantiation. In this paper, we address several questions to enhance the applicability of this work: (1) Can we extend the first-order ALP framework to approximate policy iteration to address performance deficiencies of previous approaches? (2) Can we automatically generate basis functions and evaluate their impact on value function quality? (3) How can we decompose intractable problems with universally quantified rewards into tractable subproblems? We propose answers to these questions along with a number of novel optimizations and provide a comparative empirical evaluation on logistics problems from the ICAPS 2004 Probabilistic Planning Competition.
[ { "version": "v1", "created": "Wed, 27 Jun 2012 16:31:33 GMT" } ]
1,341,187,200,000
[ [ "Sanner", "Scott", "" ], [ "Boutilier", "Craig", "" ] ]
1206.7064
Mladen Nikolic
Milena Vujosevic-Janicic, Mladen Nikolic, Dusan Tosic, Viktor Kuncak
Software Verification and Graph Similarity for Automated Evaluation of Students' Assignments
null
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we promote introducing software verification and control flow graph similarity measurement in automated evaluation of students' programs. We present a new grading framework that merges results obtained by combination of these two approaches with results obtained by automated testing, leading to improved quality and precision of automated grading. These two approaches are also useful in providing a comprehensible feedback that can help students to improve the quality of their programs We also present our corresponding tools that are publicly available and open source. The tools are based on LLVM low-level intermediate code representation, so they could be applied to a number of programming languages. Experimental evaluation of the proposed grading framework is performed on a corpus of university students' programs written in programming language C. Results of the experiments show that automatically generated grades are highly correlated with manually determined grades suggesting that the presented tools can find real-world applications in studying and grading.
[ { "version": "v1", "created": "Fri, 29 Jun 2012 16:10:20 GMT" } ]
1,341,187,200,000
[ [ "Vujosevic-Janicic", "Milena", "" ], [ "Nikolic", "Mladen", "" ], [ "Tosic", "Dusan", "" ], [ "Kuncak", "Viktor", "" ] ]
1207.0117
Rajdeep Borgohain
Rajdeep Borgohain and Sugata Sanyal
Rule Based Expert System for Cerebral Palsy Diagnosis
4 pages, 1 figure, 1 table
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The use of Artificial Intelligence is finding prominence not only in core computer areas, but also in cross disciplinary areas including medical diagnosis. In this paper, we present a rule based Expert System used in diagnosis of Cerebral Palsy. The expert system takes user input and depending on the symptoms of the patient, diagnoses if the patient is suffering from Cerebral Palsy. The Expert System also classifies the Cerebral Palsy as mild, moderate or severe based on the presented symptoms.
[ { "version": "v1", "created": "Sat, 30 Jun 2012 16:52:12 GMT" } ]
1,341,273,600,000
[ [ "Borgohain", "Rajdeep", "" ], [ "Sanyal", "Sugata", "" ] ]
1207.0206
Loshchilov Ilya
Ilya Loshchilov (INRIA Saclay - Ile de France), Marc Schoenauer (INRIA Saclay - Ile de France, MSR - INRIA), Mich\`ele Sebag (INRIA Saclay - Ile de France, LRI)
Alternative Restart Strategies for CMA-ES
null
Parallel Problem Solving From Nature (2012)
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper focuses on the restart strategy of CMA-ES on multi-modal functions. A first alternative strategy proceeds by decreasing the initial step-size of the mutation while doubling the population size at each restart. A second strategy adaptively allocates the computational budget among the restart settings in the BIPOP scheme. Both restart strategies are validated on the BBOB benchmark; their generality is also demonstrated on an independent real-world problem suite related to spacecraft trajectory optimization.
[ { "version": "v1", "created": "Sun, 1 Jul 2012 13:50:20 GMT" } ]
1,341,273,600,000
[ [ "Loshchilov", "Ilya", "", "INRIA Saclay - Ile de France" ], [ "Schoenauer", "Marc", "", "INRIA\n Saclay - Ile de France, MSR - INRIA" ], [ "Sebag", "Michèle", "", "INRIA Saclay - Ile de\n France, LRI" ] ]
1207.0262
Shiping Wang
Shiping Wang and Qingxin Zhu and William Zhu and Fan Min
Characteristic matrix of covering and its application to boolean matrix decomposition and axiomatization
18-page original paper
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Covering is an important type of data structure while covering-based rough sets provide an efficient and systematic theory to deal with covering data. In this paper, we use boolean matrices to represent and axiomatize three types of covering approximation operators. First, we define two types of characteristic matrices of a covering which are essentially square boolean ones, and their properties are studied. Through the characteristic matrices, three important types of covering approximation operators are concisely equivalently represented. Second, matrix representations of covering approximation operators are used in boolean matrix decomposition. We provide a sufficient and necessary condition for a square boolean matrix to decompose into the boolean product of another one and its transpose. And we develop an algorithm for this boolean matrix decomposition. Finally, based on the above results, these three types of covering approximation operators are axiomatized using boolean matrices. In a word, this work borrows extensively from boolean matrices and present a new view to study covering-based rough sets.
[ { "version": "v1", "created": "Mon, 2 Jul 2012 01:12:16 GMT" }, { "version": "v2", "created": "Sat, 7 Jul 2012 02:56:14 GMT" }, { "version": "v3", "created": "Fri, 17 Aug 2012 09:05:55 GMT" }, { "version": "v4", "created": "Sun, 3 Mar 2013 05:23:31 GMT" } ]
1,362,441,600,000
[ [ "Wang", "Shiping", "" ], [ "Zhu", "Qingxin", "" ], [ "Zhu", "William", "" ], [ "Min", "Fan", "" ] ]
1207.0403
Peratham Wiriyathammabhum Mr.
Peratham Wiriyathammabhum, Boonserm Kijsirikul
Robust Principal Component Analysis Using Statistical Estimators
In Proc. of the International Joint Conference on Computer Science and Software Engineering (JCSSE) 2009
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Principal Component Analysis (PCA) finds a linear mapping and maximizes the variance of the data which makes PCA sensitive to outliers and may cause wrong eigendirection. In this paper, we propose techniques to solve this problem; we use the data-centering method and reestimate the covariance matrix using robust statistic techniques such as median, robust scaling which is a booster to data-centering and Huber M-estimator which measures the presentation of outliers and reweight them with small values. The results on several real world data sets show that our proposed method handles outliers and gains better results than the original PCA and provides the same accuracy with lower computation cost than the Kernel PCA using the polynomial kernel in classification tasks.
[ { "version": "v1", "created": "Mon, 2 Jul 2012 14:30:19 GMT" } ]
1,341,273,600,000
[ [ "Wiriyathammabhum", "Peratham", "" ], [ "Kijsirikul", "Boonserm", "" ] ]
1207.1230
Qibin Zhao Dr
Qibin Zhao, Cesar F. Caiafa, Danilo P. Mandic, Zenas C. Chao, Yasuo Nagasaka, Naotaka Fujii, Liqing Zhang and Andrzej Cichocki
Higher-Order Partial Least Squares (HOPLS): A Generalized Multi-Linear Regression Method
null
Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol. 35, no.7, July, 2013
10.1109/TPAMI.2012.254.
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A new generalized multilinear regression model, termed the Higher-Order Partial Least Squares (HOPLS), is introduced with the aim to predict a tensor (multiway array) $\tensor{Y}$ from a tensor $\tensor{X}$ through projecting the data onto the latent space and performing regression on the corresponding latent variables. HOPLS differs substantially from other regression models in that it explains the data by a sum of orthogonal Tucker tensors, while the number of orthogonal loadings serves as a parameter to control model complexity and prevent overfitting. The low dimensional latent space is optimized sequentially via a deflation operation, yielding the best joint subspace approximation for both $\tensor{X}$ and $\tensor{Y}$. Instead of decomposing $\tensor{X}$ and $\tensor{Y}$ individually, higher order singular value decomposition on a newly defined generalized cross-covariance tensor is employed to optimize the orthogonal loadings. A systematic comparison on both synthetic data and real-world decoding of 3D movement trajectories from electrocorticogram (ECoG) signals demonstrate the advantages of HOPLS over the existing methods in terms of better predictive ability, suitability to handle small sample sizes, and robustness to noise.
[ { "version": "v1", "created": "Thu, 5 Jul 2012 11:41:19 GMT" } ]
1,390,780,800,000
[ [ "Zhao", "Qibin", "" ], [ "Caiafa", "Cesar F.", "" ], [ "Mandic", "Danilo P.", "" ], [ "Chao", "Zenas C.", "" ], [ "Nagasaka", "Yasuo", "" ], [ "Fujii", "Naotaka", "" ], [ "Zhang", "Liqing", "" ], [ "Cichocki", "Andrzej", "" ] ]