Towards Interpretable Deep Metric Learning with Structural Matching
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Abstract (arXiv)
How do the neural networks distinguish two images? It is of critical importance to understand the matching mechanism of deep models for developing reliable intelligent systems for many risky visual applications such as surveillance and access control. However, most existing deep metric learning methods match the images by comparing feature vectors, which ignores the spatial structure of images and thus lacks interpretability. In this paper, we present a deep interpretable metric learning (DIML) method for more transparent embedding learning. Unlike conventional metric learning methods based on feature vector comparison, we propose a structural matching strategy that explicitly aligns the spatial embeddings by computing an optimal matching flow between feature maps of the two images. Our method enables deep models to learn metrics in a more human-friendly way, where the similarity of two images can be decomposed to several part-wise similarities and their contributions to the overall similarity. Our method is model-agnostic, which can be applied to off-the-shelf backbone networks and metric learning methods. We evaluate our method on three major benchmarks of deep metric learning including CUB200-2011, Cars196, and Stanford Online Products, and achieve substantial improvements over popular metric learning methods with better interpretability. Code is available at https://github.com/wl-zhao/DIML
Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). Builds on 33 of its 52 references that are in the map. First posted on arXiv 12 Aug 2021.
Builds on
33 of 52 references.
References · 33
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- 2015Deep Metric Learning via Lifted Structured Feature Embeddingcited by 449
21 more
- 2019Multi-Similarity Loss with General Pair Weighting for Deep Metric Learningcited by 368
- 2020A Metric Learning Reality Checkcited by 317
- 2017Sampling Matters in Deep Embedding Learningcited by 285
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- 2017No Fuss Distance Metric Learning using Proxiescited by 225
- 2019Hyperbolic Image Embeddingscited by 219
- 2020Proxy Anchor Loss for Deep Metric Learningcited by 195
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- 2017Interpretable Convolutional Neural Networkscited by 161
- 2018Deep Metric Learning with Hierarchical Triplet Losscited by 112
- 2017Deep Metric Learning with Angular Losscited by 107
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- 2019Hardness-Aware Deep Metric Learningcited by 55
- 2016Learning Deep Embeddings with Histogram Losscited by 52
- 2020Explainable Face Recognitioncited by 34
- 2019Signal-to-Noise Ratio: A Robust Distance Metric for Deep Metric Learningcited by 32
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Citing papers per year: 2021: 1; 2022: 13; 2023: 7; 2024: 4; 2025: 2; 2026: 3.
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- 2022TopicFM: Robust and Interpretable Topic-Assisted Feature Matching1 Jul 2022
- 2022Introspective Deep Metric Learning for Image Retrieval9 May 2022
- 2022Attributable Visual Similarity Learning28 Mar 2022
- 2022OTFace: Hard Samples Guided Optimal Transport Loss for Deep Face Representation28 Mar 2022
- 2022Visual Representation Learning with Self-Supervised Attention for Low-Label High-data Regime22 Jan 2022
- 2021DeepFace-EMD: Re-ranking Using Patch-wise Earth Mover's Distance Improves Out-Of-Distribution Face Identification7 Dec 2021
- 2022Visual correspondence-based explanations improve AI robustness and human-AI team accuracycited by 37
- 2022TopicFM: Robust and Interpretable Topic-Assisted Feature Matchingcited by 32
- 2021DeepFace-EMD: Re-ranking Using Patch-wise Earth Mover's Distance Improves Out-Of-Distribution Face Identificationcited by 20
- 2022Attributable Visual Similarity Learningcited by 12
- 2023TopicFM+: Boosting Accuracy and Efficiency of Topic-Assisted Feature Matchingcited by 10
- 2022Contrastive Bayesian Analysis for Deep Metric Learningcited by 8
- 2023Introspective Deep Metric Learningcited by 7
- 2022TokenFlow: Rethinking Fine-grained Cross-modal Alignment in Vision-Language Retrievalcited by 6
- 2025Recover and Match: Open-Vocabulary Multi-Label Recognition through Knowledge-Constrained Optimal Transportcited by 6
- 2022Supervised Metric Learning to Rank for Retrieval via Contextual Similarity Optimizationcited by 5
- 2023Fast and Interpretable Face Identification for Out-Of-Distribution Data Using Vision Transformerscited by 4
- 2022Deep Metric Learning with Chance Constraintscited by 3
12 most cited of 28 All 28 (JSON)
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- 2025TRANSPORTER: Transferring Visual Semantics from VLM Manifolds23 Nov 2025
- 2025Recover and Match: Open-Vocabulary Multi-Label Recognition through Knowledge-Constrained Optimal Transport19 Mar 2025
- 2024Scalable Deep Metric Learning on Attributed Graphs20 Nov 2024
- 2024Realigned Softmax Warping for Deep Metric Learning28 Aug 2024
- 2024Explainable Metric Learning for Deflating Data Bias5 Jul 2024
- 2024Anti-Collapse Loss for Deep Metric Learning Based on Coding Rate Metric3 Jul 2024
- 2023Fast and Interpretable Face Identification for Out-Of-Distribution Data Using Vision Transformers6 Nov 2023
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12 newest of 28 All 28 (JSON)