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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 10: AAAI-21 Technical Tracks 10

Objective-Based Hierarchical Clustering of Deep Embedding Vectors

February 1, 2023

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Authors

Stanislav Naumov

ITMO University


Grigory Yaroslavtsev

Indiana University, Bloomington


Dmitrii Avdiukhin

Indiana University, Bloomington


DOI:

10.1609/aaai.v35i10.17094


Abstract:

We initiate a comprehensive experimental study of objective-based hierarchical clustering methods on massive datasets consisting of deep embedding vectors from computer vision and NLP applications. This includes a large variety of image embedding (ImageNet, ImageNetV2, NaBirds), word embedding (Twitter, Wikipedia), and sentence embedding (SST-2) vectors from several popular recent models (e.g. ResNet, ResNext, Inception V3, SBERT). Our study includes datasets with up to 4.5 million data points with embedding dimensions up to 2048. In order to address the challenge of scaling up hierarchical clustering to such large datasets we propose a new practical hierarchical clustering algorithm B++&C. It gives a 5%/20% improvement on average for the popular Moseley-Wang (MW)/ Cohen-Addad et al. (CKMM) objectives (normalized) compared to a wide range of classic methods and recent heuristics. We also introduce a theoretical algorithm B2SAT&C which achieves a 0.74-approximation for the CKMM objective in polynomial time. This is the first substantial improvement over the trivial 2/3-approximation achieved by a random binary tree. Prior to this work, the best poly-time approximation of ≈2/3 + 0.0004 was due to Charikar et al. (SODA’19)

Topics: AAAI

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HOW TO CITE:

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin Objective-Based Hierarchical Clustering of Deep Embedding Vectors Proceedings of the AAAI Conference on Artificial Intelligence (2021) 9055-9063.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin Objective-Based Hierarchical Clustering of Deep Embedding Vectors AAAI 2021, 9055-9063.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin (2021). Objective-Based Hierarchical Clustering of Deep Embedding Vectors. Proceedings of the AAAI Conference on Artificial Intelligence, 9055-9063.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin. Objective-Based Hierarchical Clustering of Deep Embedding Vectors. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.9055-9063.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin. 2021. Objective-Based Hierarchical Clustering of Deep Embedding Vectors. "Proceedings of the AAAI Conference on Artificial Intelligence". 9055-9063.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin. (2021) "Objective-Based Hierarchical Clustering of Deep Embedding Vectors", Proceedings of the AAAI Conference on Artificial Intelligence, p.9055-9063

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin, "Objective-Based Hierarchical Clustering of Deep Embedding Vectors", AAAI, p.9055-9063, 2021.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin. "Objective-Based Hierarchical Clustering of Deep Embedding Vectors". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.9055-9063.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin. "Objective-Based Hierarchical Clustering of Deep Embedding Vectors". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 9055-9063.

Stanislav Naumov||Grigory Yaroslavtsev||Dmitrii Avdiukhin. Objective-Based Hierarchical Clustering of Deep Embedding Vectors. AAAI[Internet]. 2021[cited 2023]; 9055-9063.


ISSN: 2374-3468


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