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| title: Mean Reciprocal Rank | |
| colorFrom: blue | |
| colorTo: red | |
| sdk: gradio | |
| sdk_version: 3.0.2 | |
| app_file: app.py | |
| pinned: false | |
| tags: | |
| - evaluate | |
| - metric | |
| description: >- | |
| Mean Reciprocal Rank is a statistic measure for evaluating any process that produces a list of possible responses to a sample of queries, ordered by probability of correctness. | |
| # Metric Card for Mean Reciprocal Rank | |
| a statistic measure for evaluating any process that produces a list of possible responses to a sample of queries, ordered by probability of correctness. | |
| ## Metric Description | |
| The reciprocal rank of a query response is the multiplicative inverse of the rank of the first correct answer: 1 for first place, 1⁄2 for second place, 1⁄3 for third place and so on. The mean reciprocal rank is the average of the reciprocal ranks of results for a sample of queries Q | |
| {\text{MRR}}={\frac {1}{|Q|}}\sum _{{i=1}}^{{|Q|}}{\frac {1}{{\text{rank}}_{i}}}.\! | |
| ## How to Use | |
| Provide a list of gold ranks, where each item is rank of gold item of which the first rank starts with zero. | |
| ### Inputs | |
| *List all input arguments in the format below* | |
| - **input_field** *(List[int]): a list of integer where each integer is the rank of gold item | |
| ### Output Values | |
| *Explain what this metric outputs and provide an example of what the metric output looks like. Modules should return a dictionary with one or multiple key-value pairs, e.g. {"bleu" : 6.02}* | |
| *State the range of possible values that the metric's output can take, as well as what in that range is considered good. For example: "This metric can take on any value between 0 and 100, inclusive. Higher scores are better."* | |
| #### Values from Popular Papers | |
| *Give examples, preferrably with links to leaderboards or publications, to papers that have reported this metric, along with the values they have reported.* | |
| ### Examples | |
| *Give code examples of the metric being used. Try to include examples that clear up any potential ambiguity left from the metric description above. If possible, provide a range of examples that show both typical and atypical results, as well as examples where a variety of input parameters are passed.* | |
| ## Limitations and Bias | |
| *Note any known limitations or biases that the metric has, with links and references if possible.* | |
| ## Citation | |
| *Cite the source where this metric was introduced.* | |
| ## Further References | |
| *Add any useful further references.* | |