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[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
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p
Now, I feel like you brought some slides along.
[ "blog", "blog/entity-matching-qdrant" ]
13,972
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
Feel free to share those whenever you want.
[ "blog", "blog/entity-matching-qdrant" ]
13,973
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
I’m going to fire away the first question and ask about this.
[ "blog", "blog/entity-matching-qdrant" ]
13,974
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
I’m going to go straight into Qdrant questions and ask you to elaborate on how the unique modification of Qdrant of the HNSW algorithm benefits your solution.
[ "blog", "blog/entity-matching-qdrant" ]
13,975
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
So what are you doing there?
[ "blog", "blog/entity-matching-qdrant" ]
13,976
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
How are you leveraging that?
[ "blog", "blog/entity-matching-qdrant" ]
13,977
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
And how also to add another layer to this question, this ridiculously long question that I’m starting to get myself into, how do you handle geo filtering based on longitude and latitude?
[ "blog", "blog/entity-matching-qdrant" ]
13,978
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
So, to summarize my lengthy question, let’s just start with the HNSW algorithm.
[ "blog", "blog/entity-matching-qdrant" ]
13,979
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(20)
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p
How does that benefit your solution?
[ "blog", "blog/entity-matching-qdrant" ]
13,980
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
Rishabh Bhardwaj:
[ "blog", "blog/entity-matching-qdrant" ]
13,981
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
Sure.
[ "blog", "blog/entity-matching-qdrant" ]
13,982
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
So to begin with, I will give you a little backstory.
[ "blog", "blog/entity-matching-qdrant" ]
13,983
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
So when we were building proof of concept for this solution, we initially started with Postgres, because we had some Postgres databases lying around in development environments, and we just wanted to try out and build a proof of concept.
[ "blog", "blog/entity-matching-qdrant" ]
13,984
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
So we installed an extension called Pgvector.
[ "blog", "blog/entity-matching-qdrant" ]
13,985
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
And at that point of time, it used to have IVF Flat indexing approach.
[ "blog", "blog/entity-matching-qdrant" ]
13,986
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
But after some experimentation, we realized that it basically does not perform very well in terms of recall and speed.
[ "blog", "blog/entity-matching-qdrant" ]
13,987
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
Basically, if we want to increase the speed, then we would suffer a lot on basis of recall.
[ "blog", "blog/entity-matching-qdrant" ]
13,988
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(21)
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p
Then we started looking for native vector databases in the market, and then we saw some benchmarks and we came to know that Qdrant performs a lot better as compared to other solutions that existed at the moment.
[ "blog", "blog/entity-matching-qdrant" ]
13,989
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(22)
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p
Rishabh Bhardwaj:
[ "blog", "blog/entity-matching-qdrant" ]
13,990
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(22)
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p
And also, it was open source and really easy to host and use.
[ "blog", "blog/entity-matching-qdrant" ]
13,991
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(22)
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p
We just needed to deploy a docker image in EC two instance and we can really start using it.
[ "blog", "blog/entity-matching-qdrant" ]
13,992
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(23)
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p
Demetrios:
[ "blog", "blog/entity-matching-qdrant" ]
13,993
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(23)
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p
Did you guys do your own benchmarks too?
[ "blog", "blog/entity-matching-qdrant" ]
13,994
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(23)
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p
Or was that just like, you looked, you saw, you were like, all right, let’s give this thing a spin.
[ "blog", "blog/entity-matching-qdrant" ]
13,995
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(24)
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p
Rishabh Bhardwaj:
[ "blog", "blog/entity-matching-qdrant" ]
13,996
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(24)
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p
So while deciding initially we just looked at the publicly available benchmarks, but later on, when we started using Qdrant, we did our own benchmarks internally.
[ "blog", "blog/entity-matching-qdrant" ]
13,997
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(24)
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p
Nice.
[ "blog", "blog/entity-matching-qdrant" ]
13,998
[ "Building a High-Performance Entity Matching Solution with Qdrant - Rishabh Bhardwaj | Vector Space Talks - Qdrant", "Transcript:" ]
/blog/entity-matching-qdrant/
html > body > div:nth-of-type(1) > div > article > div:nth-of-type(2) > div:nth-of-type(3) > div > p:nth-of-type(25)
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p
Demetrios:
[ "blog", "blog/entity-matching-qdrant" ]
13,999
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
Unlike Contrastive Loss,
[ "articles", "articles/triplet-loss" ]
6,000
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
it is already satisfied when different samples are easily distinguishable from similar ones.
[ "articles", "articles/triplet-loss" ]
6,001
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
It does not change the distances in a positive cluster if
[ "articles", "articles/triplet-loss" ]
6,002
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
there is no interference from negative examples.
[ "articles", "articles/triplet-loss" ]
6,003
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
This is due to the fact that Triplet Loss tries to ensure a margin between distances of negative pairs and distances of positive pairs.
[ "articles", "articles/triplet-loss" ]
6,004
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
However, Contrastive Loss takes into account the margin value only when comparing dissimilar pairs,
[ "articles", "articles/triplet-loss" ]
6,005
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
and it does not care at all where similar pairs are at that moment.
[ "articles", "articles/triplet-loss" ]
6,006
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
This means that Contrastive Loss may reach a local minimum earlier,
[ "articles", "articles/triplet-loss" ]
6,007
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(5)
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p
while Triplet Loss may continue to organize the vector space in a better state.
[ "articles", "articles/triplet-loss" ]
6,008
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(6)
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p
Let’s demonstrate how two loss functions organize the vector space by animations.
[ "articles", "articles/triplet-loss" ]
6,009
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(6)
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p
For simpler visualization, the vectors are represented by points in a 2-dimensional space,
[ "articles", "articles/triplet-loss" ]
6,010
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(6)
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p
and they are selected randomly from a normal distribution.
[ "articles", "articles/triplet-loss" ]
6,011
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > figure:nth-of-type(2) > figcaption > p
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p
Animation that shows how Contrastive Loss moves points in the course of training.
[ "articles", "articles/triplet-loss" ]
6,012
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > figure:nth-of-type(3) > figcaption > p
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p
Animation that shows how Triplet Loss moves points in the course of training.
[ "articles", "articles/triplet-loss" ]
6,013
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(7)
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p
From mathematical interpretations of the two-loss functions, it is clear that Triplet Loss is theoretically stronger,
[ "articles", "articles/triplet-loss" ]
6,014
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(7)
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p
but Triplet Loss has additional tricks that help it work better.
[ "articles", "articles/triplet-loss" ]
6,015
[ "Triplet Loss - Advanced Intro - Qdrant", "What is Triplet Loss?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(7)
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p
Most importantly, Triplet Loss introduce online triplet mining strategies, e.g., automatically forming the most useful triplets.
[ "articles", "articles/triplet-loss" ]
6,016
[ "Triplet Loss - Advanced Intro - Qdrant" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > h2:nth-of-type(2)
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h2
Why triplet mining matters?
[ "articles", "articles/triplet-loss" ]
6,017
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(8)
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p
The formulation of Triplet Loss demonstrates that it works on three objects at a time:
[ "articles", "articles/triplet-loss" ]
6,018
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(3) > li:nth-of-type(1)
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[ "articles", "articles/triplet-loss" ]
6,019
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(3) > li:nth-of-type(2)
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positive - a sample that has the same label as the anchor,
[ "articles", "articles/triplet-loss" ]
6,020
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(3) > li:nth-of-type(3)
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li
and negative - a sample with a different label from the anchor and the positive.
[ "articles", "articles/triplet-loss" ]
6,021
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(9)
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p
In a naive implementation, we could form such triplets of samples at the beginning of each epoch
[ "articles", "articles/triplet-loss" ]
6,022
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(9)
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p
and then feed batches of such triplets to the model throughout that epoch.
[ "articles", "articles/triplet-loss" ]
6,023
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(9)
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p
This is called “offline strategy.”
[ "articles", "articles/triplet-loss" ]
6,024
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(9)
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p
However, this would not be so efficient for several reasons:
[ "articles", "articles/triplet-loss" ]
6,025
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(4) > li:nth-of-type(1)
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li
It needs to pass $3n$ samples to get a loss value of $n$ triplets.
[ "articles", "articles/triplet-loss" ]
6,026
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(4) > li:nth-of-type(2)
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li
Not all these triplets will be useful for the model to learn anything, e.g., yielding a positive loss value.
[ "articles", "articles/triplet-loss" ]
6,027
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(4) > li:nth-of-type(3)
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li
Even if we form “useful” triplets at the beginning of each epoch with one of the methods that I will be implementing in this series,
[ "articles", "articles/triplet-loss" ]
6,028
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(4) > li:nth-of-type(3)
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they may become “useless” at some point in the epoch as the model weights will be constantly updated.
[ "articles", "articles/triplet-loss" ]
6,029
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(10)
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p
Instead, we can get a batch of $n$ samples and their associated labels,
[ "articles", "articles/triplet-loss" ]
6,030
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(10)
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p
and form triplets on the fly.
[ "articles", "articles/triplet-loss" ]
6,031
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(10)
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p
That is called “online strategy.”
[ "articles", "articles/triplet-loss" ]
6,032
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(10)
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p
Normally, this gives
[ "articles", "articles/triplet-loss" ]
6,033
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(10)
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p
$n^3$ possible triplets, but only a subset of such possible triplets will be actually valid.
[ "articles", "articles/triplet-loss" ]
6,034
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(10)
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p
Even in this case,
[ "articles", "articles/triplet-loss" ]
6,035
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(10)
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p
we will have a loss value calculated from much more triplets than the offline strategy.
[ "articles", "articles/triplet-loss" ]
6,036
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(11)
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p
Given a triplet of (a, p, n), it is valid only if:
[ "articles", "articles/triplet-loss" ]
6,037
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(5) > li:nth-of-type(1)
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/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(5) > li:nth-of-type(2)
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[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(5) > li:nth-of-type(3)
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li
and n has a different label from a and p.
[ "articles", "articles/triplet-loss" ]
6,040
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(12)
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p
These constraints may seem to be requiring expensive computation with nested loops,
[ "articles", "articles/triplet-loss" ]
6,041
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(12)
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p
but it can be efficiently implemented with tricks such as distance matrix, masking, and broadcasting.
[ "articles", "articles/triplet-loss" ]
6,042
[ "Triplet Loss - Advanced Intro - Qdrant", "Why triplet mining matters?" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(12)
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p
The rest of this series will focus on the implementation of these tricks.
[ "articles", "articles/triplet-loss" ]
6,043
[ "Triplet Loss - Advanced Intro - Qdrant" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > h2:nth-of-type(3)
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h2
Distance matrix
[ "articles", "articles/triplet-loss" ]
6,044
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(13)
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p
A distance matrix is a matrix of shape $(n, n)$ to hold distance values between all possible
[ "articles", "articles/triplet-loss" ]
6,045
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(13)
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p
pairs made from items in two $n$-sized collections.
[ "articles", "articles/triplet-loss" ]
6,046
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(13)
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p
This matrix can be used to vectorize calculations that would need inefficient loops otherwise.
[ "articles", "articles/triplet-loss" ]
6,047
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(13)
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p
Its calculation can be optimized as well, and we will implement Euclidean Distance Matrix Trick (PDF)
[ "articles", "articles/triplet-loss" ]
6,048
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(13)
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p
explained by Samuel Albanie.
[ "articles", "articles/triplet-loss" ]
6,049
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(13)
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p
You may want to read this three-page document for
[ "articles", "articles/triplet-loss" ]
6,050
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(13)
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p
the full intuition of the trick, but a brief explanation is as follows:
[ "articles", "articles/triplet-loss" ]
6,051
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(6) > li:nth-of-type(1)
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li
Calculate the dot product of two collections of vectors, e.g., embeddings in our case.
[ "articles", "articles/triplet-loss" ]
6,052
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(6) > li:nth-of-type(2)
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li
Extract the diagonal from this matrix that holds the squared Euclidean norm of each embedding.
[ "articles", "articles/triplet-loss" ]
6,053
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(6) > li:nth-of-type(3)
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li
Calculate the squared Euclidean distance matrix based on the following equation: $||a - b||^2 = ||a||^2 - 2 ⟨a, b⟩ + ||b||^2$
[ "articles", "articles/triplet-loss" ]
6,054
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(6) > li:nth-of-type(4)
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li
Get the square root of this matrix for non-squared distances.
[ "articles", "articles/triplet-loss" ]
6,055
[ "Triplet Loss - Advanced Intro - Qdrant", "Distance matrix" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(14)
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p
We will implement it in PyTorch, so let’s start with imports.
[ "articles", "articles/triplet-loss" ]
6,056
[ "Triplet Loss - Advanced Intro - Qdrant" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > h2:nth-of-type(4)
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h2
Invalid triplet masking
[ "articles", "articles/triplet-loss" ]
6,057
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(15)
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p
Now that we can compute a distance matrix for all possible pairs of embeddings in a batch,
[ "articles", "articles/triplet-loss" ]
6,058
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(15)
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p
we can apply broadcasting to enumerate distance differences for all possible triplets and represent them in a tensor of shape (batch_size, batch_size, batch_size).
[ "articles", "articles/triplet-loss" ]
6,059
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(15)
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p
However, only a subset of these $n^3$ triplets are actually valid as I mentioned earlier,
[ "articles", "articles/triplet-loss" ]
6,060
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(15)
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p
and we need a corresponding mask to compute the loss value correctly.
[ "articles", "articles/triplet-loss" ]
6,061
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(15)
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p
We will implement such a helper function in three steps:
[ "articles", "articles/triplet-loss" ]
6,062
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(7) > li:nth-of-type(1)
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li
Compute a mask for distinct indices, e.g., (i != j and j != k).
[ "articles", "articles/triplet-loss" ]
6,063
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(7) > li:nth-of-type(2)
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li
Compute a mask for valid anchor-positive-negative triplets, e.g., labels[i] == labels[j] and labels[j] != labels[k].
[ "articles", "articles/triplet-loss" ]
6,064
[ "Triplet Loss - Advanced Intro - Qdrant", "Invalid triplet masking" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(7) > li:nth-of-type(3)
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li
Combine two masks.
[ "articles", "articles/triplet-loss" ]
6,065
[ "Triplet Loss - Advanced Intro - Qdrant" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > h2:nth-of-type(5)
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h2
Batch-all strategy for online triplet mining
[ "articles", "articles/triplet-loss" ]
6,066
[ "Triplet Loss - Advanced Intro - Qdrant", "Batch-all strategy for online triplet mining" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(16)
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p
Now we are ready for actually implementing Triplet Loss itself.
[ "articles", "articles/triplet-loss" ]
6,067
[ "Triplet Loss - Advanced Intro - Qdrant", "Batch-all strategy for online triplet mining" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(16)
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Triplet Loss involves several strategies to form or select triplets, and the simplest one is
[ "articles", "articles/triplet-loss" ]
6,068
[ "Triplet Loss - Advanced Intro - Qdrant", "Batch-all strategy for online triplet mining" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(16)
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to use all valid triplets that can be formed from samples in a batch.
[ "articles", "articles/triplet-loss" ]
6,069
[ "Triplet Loss - Advanced Intro - Qdrant", "Batch-all strategy for online triplet mining" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > p:nth-of-type(16)
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p
This can be achieved in four easy steps thanks to utility functions we’ve already implemented:
[ "articles", "articles/triplet-loss" ]
6,070
[ "Triplet Loss - Advanced Intro - Qdrant", "Batch-all strategy for online triplet mining" ]
/articles/triplet-loss/
html > body > div:nth-of-type(1) > div:nth-of-type(1) > div > section > article > ul:nth-of-type(8) > li:nth-of-type(1)
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li
Get a distance matrix of all possible pairs that can be formed from embeddings in a batch.
[ "articles", "articles/triplet-loss" ]
6,071