Probabilistic Principal Geodesic Deep Metric Learning

Similarity learning which is useful for the purpose of comparing various characteristics of images in the computer vision field has been often applied for deep metric learning (DML). Also, a lot of combinations of pairwise similarity metrics such as Euclidean distance and cosine similarity have been...

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Main Authors: Dae Ha Kim, Byung Cheol Song
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9681811/
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author Dae Ha Kim
Byung Cheol Song
author_facet Dae Ha Kim
Byung Cheol Song
author_sort Dae Ha Kim
collection DOAJ
description Similarity learning which is useful for the purpose of comparing various characteristics of images in the computer vision field has been often applied for deep metric learning (DML). Also, a lot of combinations of pairwise similarity metrics such as Euclidean distance and cosine similarity have been studied actively. However, such a local similarity-based approach can be rather a bottleneck for a retrieval task in which global characteristics of images must be considered important. Therefore, this paper proposes a new similarity metric structure that considers the local similarity as well as the global characteristic on the representation space, i.e., class variability. Also, based on an insight that better class variability analysis can be accomplished on the Stiefel (or Riemannian) manifold, manifold geometry is employed to generate class variability information. Finally, we show that the proposed method designed through in-depth analysis of generalization bound of DML outperforms conventional DML methods theoretically and experimentally.
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spelling doaj.art-88bc23efd1e640f2affb6f0acaa11c372022-12-22T01:32:41ZengIEEEIEEE Access2169-35362022-01-01107439745910.1109/ACCESS.2022.31431299681811Probabilistic Principal Geodesic Deep Metric LearningDae Ha Kim0https://orcid.org/0000-0003-3838-126XByung Cheol Song1https://orcid.org/0000-0001-8742-3433Department of Electrical and Computer Engineering, Inha University, Incheon, South KoreaDepartment of Electrical and Computer Engineering, Inha University, Incheon, South KoreaSimilarity learning which is useful for the purpose of comparing various characteristics of images in the computer vision field has been often applied for deep metric learning (DML). Also, a lot of combinations of pairwise similarity metrics such as Euclidean distance and cosine similarity have been studied actively. However, such a local similarity-based approach can be rather a bottleneck for a retrieval task in which global characteristics of images must be considered important. Therefore, this paper proposes a new similarity metric structure that considers the local similarity as well as the global characteristic on the representation space, i.e., class variability. Also, based on an insight that better class variability analysis can be accomplished on the Stiefel (or Riemannian) manifold, manifold geometry is employed to generate class variability information. Finally, we show that the proposed method designed through in-depth analysis of generalization bound of DML outperforms conventional DML methods theoretically and experimentally.https://ieeexplore.ieee.org/document/9681811/Deep metric learningimage retrievalStiefel manifoldnon-linear mapping
spellingShingle Dae Ha Kim
Byung Cheol Song
Probabilistic Principal Geodesic Deep Metric Learning
IEEE Access
Deep metric learning
image retrieval
Stiefel manifold
non-linear mapping
title Probabilistic Principal Geodesic Deep Metric Learning
title_full Probabilistic Principal Geodesic Deep Metric Learning
title_fullStr Probabilistic Principal Geodesic Deep Metric Learning
title_full_unstemmed Probabilistic Principal Geodesic Deep Metric Learning
title_short Probabilistic Principal Geodesic Deep Metric Learning
title_sort probabilistic principal geodesic deep metric learning
topic Deep metric learning
image retrieval
Stiefel manifold
non-linear mapping
url https://ieeexplore.ieee.org/document/9681811/
work_keys_str_mv AT daehakim probabilisticprincipalgeodesicdeepmetriclearning
AT byungcheolsong probabilisticprincipalgeodesicdeepmetriclearning