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Hyperbolic Vision Transformers: Combining Improvements in Metric Learning

2022-03-21CVPR 2022Code Available2· sign in to hype

Aleksandr Ermolov, Leyla Mirvakhabova, Valentin Khrulkov, Nicu Sebe, Ivan Oseledets

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Abstract

Metric learning aims to learn a highly discriminative model encouraging the embeddings of similar classes to be close in the chosen metrics and pushed apart for dissimilar ones. The common recipe is to use an encoder to extract embeddings and a distance-based loss function to match the representations -- usually, the Euclidean distance is utilized. An emerging interest in learning hyperbolic data embeddings suggests that hyperbolic geometry can be beneficial for natural data. Following this line of work, we propose a new hyperbolic-based model for metric learning. At the core of our method is a vision transformer with output embeddings mapped to hyperbolic space. These embeddings are directly optimized using modified pairwise cross-entropy loss. We evaluate the proposed model with six different formulations on four datasets achieving the new state-of-the-art performance. The source code is available at https://github.com/htdt/hyp_metric.

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Benchmark Results

DatasetModelMetricClaimedVerifiedStatus
CARS196Hyp-DINO 8x8R@192.8Unverified
CARS196Hyp-DINOR@189.2Unverified
CARS196Hyp-ViTR@186.5Unverified
CUB-200-2011Hyp-ViTR@185.6Unverified
CUB-200-2011Hyp-DINOR@180.9Unverified
In-ShopHyp-ViTR@192.5Unverified
In-ShopHyp-DINOR@192.4Unverified
Stanford Online ProductsHyp-ViTR@185.9Unverified
Stanford Online ProductsHyp-DINOR@185.1Unverified

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