mlsanityData to 7 Oct 2026

Towards Interpretable Deep Metric Learning with Structural Matching

arXiv 2108.05889 ↗First posted 12 Aug 2021cs.CV cs.AI cs.LGcited by 30

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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

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  3. 2017Mask R-CNNcited by 7,259
  4. 2016Grad-CAM: Visual Explanations from Deep Networks via Gradient-based Localizationcited by 6,690
  5. 2015Rethinking the Inception Architecture for Computer Visioncited by 5,451
  6. 2014Going Deeper with Convolutionscited by 4,231
  7. 2015FaceNet: A Unified Embedding for Face Recognition and Clusteringcited by 2,833
  8. 2015Learning Deep Features for Discriminative Localizationcited by 2,430
  9. 2013Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distancescited by 2,277
  10. 2017In Defense of the Triplet Loss for Person Re-Identificationcited by 784
  11. 2020Transformer Interpretability Beyond Attention Visualizationcited by 620
  12. 2015Deep Metric Learning via Lifted Structured Feature Embeddingcited by 449
21 more
  1. 2019Multi-Similarity Loss with General Pair Weighting for Deep Metric Learningcited by 368
  2. 2020A Metric Learning Reality Checkcited by 317
  3. 2017Sampling Matters in Deep Embedding Learningcited by 285
  4. 2018Deep Face Recognition: A Surveycited by 275
  5. 2017No Fuss Distance Metric Learning using Proxiescited by 225
  6. 2019Hyperbolic Image Embeddingscited by 219
  7. 2020Proxy Anchor Loss for Deep Metric Learningcited by 195
  8. 2017Beyond triplet loss: a deep quadruplet network for person re-identificationcited by 172
  9. 2017Interpretable Convolutional Neural Networkscited by 161
  10. 2018Deep Metric Learning with Hierarchical Triplet Losscited by 112
  11. 2017Deep Metric Learning with Angular Losscited by 107
  12. 2020Revisiting Training Strategies and Generalization Performance in Deep Metric Learningcited by 99
  13. 2018Interpreting CNNs via Decision Treescited by 89
  14. 2019Hardness-Aware Deep Metric Learningcited by 55
  15. 2016Learning Deep Embeddings with Histogram Losscited by 52
  16. 2020Explainable Face Recognitioncited by 34
  17. 2019Signal-to-Noise Ratio: A Robust Distance Metric for Deep Metric Learningcited by 32
  18. 2019Metric Learning With HORDE: High-Order Regularizer for Deep Embeddingscited by 29
  19. 2020PADS: Policy-Adapted Sampling for Visual Similarity Learningcited by 20
  20. 2018Deep Randomized Ensembles for Metric Learningcited by 17
  21. 2019Learning Embeddings into Entropic Wasserstein Spacescited by 15

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 1; 2022: 13; 2023: 7; 2024: 4; 2025: 2; 2026: 3.

30 papers.

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  1. 2022PLOT: Prompt Learning with Optimal Transport for Vision-Language Modelscited by 64
  2. 2022Visual correspondence-based explanations improve AI robustness and human-AI team accuracycited by 37
  3. 2023OT-Attack: Enhancing Adversarial Transferability of Vision-Language Models via Optimal Transport Optimizationcited by 36
  4. 2022TopicFM: Robust and Interpretable Topic-Assisted Feature Matchingcited by 32
  5. 2021DeepFace-EMD: Re-ranking Using Patch-wise Earth Mover's Distance Improves Out-Of-Distribution Face Identificationcited by 20
  6. 2022Attributable Visual Similarity Learningcited by 12
  7. 2023TopicFM+: Boosting Accuracy and Efficiency of Topic-Assisted Feature Matchingcited by 10
  8. 2022Contrastive Bayesian Analysis for Deep Metric Learningcited by 8
  9. 2023Introspective Deep Metric Learningcited by 7
  10. 2022TokenFlow: Rethinking Fine-grained Cross-modal Alignment in Vision-Language Retrievalcited by 6
  11. 2025Recover and Match: Open-Vocabulary Multi-Label Recognition through Knowledge-Constrained Optimal Transportcited by 6
  12. 2022Supervised Metric Learning to Rank for Retrieval via Contextual Similarity Optimizationcited by 5
18 more
  1. 2023Fast and Interpretable Face Identification for Out-Of-Distribution Data Using Vision Transformerscited by 4
  2. 2022Deep Metric Learning with Chance Constraintscited by 3
  3. 2022OTFace: Hard Samples Guided Optimal Transport Loss for Deep Face Representationcited by 2
  4. 2022Intra-class Adaptive Augmentation with Neighbor Correction for Deep Metric Learningcited by 2
  5. 2023HPCR: Holistic Proxy-based Contrastive Replay for Online Continual Learningcited by 2
  6. 2022Coded Residual Transform for Generalizable Deep Metric Learningcited by 1
  7. 2023Generalized Sum Pooling for Metric Learningcited by 1
  8. 2022Visual Representation Learning with Self-Supervised Attention for Low-Label High-data Regimecited by 0
  9. 2022Introspective Deep Metric Learning for Image Retrievalcited by 0
  10. 2023Prototype Learning for Explainable Brain Age Predictioncited by 0
  11. 2024Anti-Collapse Loss for Deep Metric Learning Based on Coding Rate Metriccited by 0
  12. 2024Explainable Metric Learning for Deflating Data Biascited by 0
  13. 2024Realigned Softmax Warping for Deep Metric Learningcited by 0
  14. 2024Scalable Deep Metric Learning on Attributed Graphscited by 0
  15. 2025TRANSPORTER: Transferring Visual Semantics from VLM Manifoldscited by 0
  16. 2026AlignFace: Human-Aligned Face Similarity Metric with Interpretable Concept Relationscited by 0
  17. 2026Context-Aware Interpretable Representations for Retrieval and Graph Convolutional Network Classificationcited by 0
  18. 2026SWT: Self-Supervised Video Object Segmentation via Sliding, Wavelet and Transportationcited by 0