Hyperspherical Consistency Regularization
Not on the map. Why?
Abstract (arXiv)
Recent advances in contrastive learning have enlightened diverse applications across various semi-supervised fields. Jointly training supervised learning and unsupervised learning with a shared feature encoder becomes a common scheme. Though it benefits from taking advantage of both feature-dependent information from self-supervised learning and label-dependent information from supervised learning, this scheme remains suffering from bias of the classifier. In this work, we systematically explore the relationship between self-supervised learning and supervised learning, and study how self-supervised learning helps robust data-efficient deep learning. We propose hyperspherical consistency regularization (HCR), a simple yet effective plug-and-play method, to regularize the classifier using feature-dependent information and thus avoid bias from labels. Specifically, HCR first projects logits from the classifier and feature projections from the projection head on the respective hypersphere, then it enforces data points on hyperspheres to have similar structures by minimizing binary cross entropy of pairwise distances' similarity metrics. Extensive experiments on semi-supervised and weakly-supervised learning demonstrate the effectiveness of our method, by showing superior performance with HCR.
Key facts. Cited by 16 papers in the map (data through 7 Oct 2026). Builds on 69 of its 95 references that are in the map. First posted on arXiv 2 Jun 2022.
Builds on
69 of 95 references.
References · 69
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
- 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 11,979
- 2015Faster R-CNN: Towards Real-Time Object Detection with Region Proposal Networkscited by 9,617
- 2018Representation Learning with Contrastive Predictive Codingcited by 7,662
- 2019Momentum Contrast for Unsupervised Visual Representation Learningcited by 7,482
- 2017Mask R-CNNcited by 7,259
- 2016Densely Connected Convolutional Networkscited by 6,691
- 2019EfficientNet: Rethinking Model Scaling for Convolutional Neural Networkscited by 6,415
- 2016Feature Pyramid Networks for Object Detectioncited by 5,021
- 2015You Only Look Once: Unified, Real-Time Object Detectioncited by 4,829
- 2020Bootstrap your own latent: A new approach to self-supervised Learningcited by 4,712
38 more
- 2015SSD: Single Shot MultiBox Detectorcited by 3,125
- 2016Wide Residual Networkscited by 3,057
- 2020Unsupervised Learning of Visual Features by Contrasting Cluster Assignmentscited by 2,845
- 2015FaceNet: A Unified Embedding for Face Recognition and Clusteringcited by 2,833
- 2020Supervised Contrastive Learningcited by 2,803
- 2020Improved Baselines with Momentum Contrastive Learningcited by 2,282
- 2020FixMatch: Simplifying Semi-Supervised Learning with Consistency and Confidencecited by 2,080
- 2018Unsupervised Feature Learning via Non-Parametric Instance-level Discriminationcited by 1,838
- 2021Barlow Twins: Self-Supervised Learning via Redundancy Reductioncited by 1,818
- 2013Fine-Grained Visual Classification of Aircraftcited by 1,701
- 2018Unsupervised Representation Learning by Predicting Image Rotationscited by 1,586
- 2016YOLO9000: Better, Faster, Strongercited by 1,429
- 2016Context Encoders: Feature Learning by Inpaintingcited by 1,424
- 2020Understanding Contrastive Representation Learning through Alignment and Uniformity on the Hyperspherecited by 1,393
- 2019MixMatch: A Holistic Approach to Semi-Supervised Learningcited by 1,390
- 2016Unsupervised Learning of Visual Representations by Solving Jigsaw Puzzlescited by 1,379
- 2020Big Self-Supervised Models are Strong Semi-Supervised Learnerscited by 1,375
- 2016Colorful Image Colorizationcited by 1,113
- 2019Unsupervised Data Augmentation for Consistency Trainingcited by 1,057
- 2016Temporal Ensembling for Semi-Supervised Learningcited by 1,054
- 2018Co-teaching: Robust Training of Deep Neural Networks with Extremely Noisy Labelscited by 1,053
- 2018CosFace: Large Margin Cosine Loss for Deep Face Recognitioncited by 968
- 2019Decoupling Representation and Classifier for Long-Tailed Recognitioncited by 806
- 2017SphereFace: Deep Hypersphere Embedding for Face Recognitioncited by 733
- 2019Learning Representations by Maximizing Mutual Information Across Viewscited by 733
- 2020DivideMix: Learning with Noisy Labels as Semi-supervised Learningcited by 691
- 2019Data-Efficient Image Recognition with Contrastive Predictive Codingcited by 672
- 2020Prototypical Contrastive Learning of Unsupervised Representationscited by 636
- 2020CSI: Novelty Detection via Contrastive Learning on Distributionally Shifted Instancescited by 441
- 2019BBN: Bilateral-Branch Network with Cumulative Learning for Long-Tailed Visual Recognitioncited by 403
- 2019How does Disagreement Help Generalization against Label Corruption?cited by 390
- 2020Meta Pseudo Labelscited by 372
- 2020Rethinking Pre-training and Self-trainingcited by 352
- 2019On Mutual Information Maximization for Representation Learningcited by 315
- 2016Large-Margin Softmax Loss for Convolutional Neural Networkscited by 296
- 2020Combating noisy labels by agreement: A joint training method with co-regularizationcited by 289
- 2021Understanding self-supervised Learning Dynamics without Contrastive Pairscited by 254
- 2015Semi-Supervised Learning with Ladder Networkscited by 246
50 most cited of 69 All 69 (JSON)
Built on by
Citing papers per year: 2022: 2; 2023: 8; 2024: 0; 2025: 4; 2026: 2.
16 papers.
Sort:
By area:
- 2022Temporal Attention Unit: Towards Efficient Spatiotemporal Predictive Learningcited by 84
- 2022PiFold: Toward effective and efficient protein inverse foldingcited by 82
- 2023DealMVC: Dual Contrastive Calibration for Multi-view Clusteringcited by 19
- 2023Latent SDEs on Homogeneous Spacescited by 16
- 2023SemiReward: A General Reward Model for Semi-supervised Learningcited by 14
- 2023Enhancing Human-like Multi-Modal Reasoning: A New Challenging Dataset and Comprehensive Frameworkcited by 11
- 2023Cross-Gate MLP with Protein Complex Invariant Embedding is A One-Shot Antibody Designercited by 8
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
- 2025PAID: Pairwise Angular-Invariant Decomposition for Continual Test-Time Adaptationcited by 2
- 2023Online Continual Learning via the Knowledge Invariant and Spread-out Propertiescited by 1
- 2026Exploiting Label-Independent Regularization from Spatial Dependencies for Whole Slide Image Analysiscited by 1
- 2026PaperFit: Vision-in-the-Loop Typesetting Optimization for Scientific Documentscited by 1
4 more
- 2023Ontology-aware Network for Zero-shot Sketch-based Image Retrievalcited by 0
- 2025Beyond Self-Consistency: Loss-Balanced Perturbation-Based Regularization Improves Industrial-Scale Ads Rankingcited by 0
- 2025Dual Teacher-Student Learning for Semi-supervised Medical Image Segmentationcited by 0
- 2025Heterogeneous Federated Learning with Prototype Alignment and Upscalingcited by 0
- 2026PaperFit: Vision-in-the-Loop Typesetting Optimization for Scientific Documents11 May 2026
- 2026Exploiting Label-Independent Regularization from Spatial Dependencies for Whole Slide Image Analysis23 Feb 2026
- 2025Heterogeneous Federated Learning with Prototype Alignment and Upscaling6 Jul 2025
- 2025PAID: Pairwise Angular-Invariant Decomposition for Continual Test-Time Adaptation3 Jun 2025
- 2025Dual Teacher-Student Learning for Semi-supervised Medical Image Segmentation16 May 2025
- 2025Beyond Self-Consistency: Loss-Balanced Perturbation-Based Regularization Improves Industrial-Scale Ads Ranking5 Feb 2025
- 2023SemiReward: A General Reward Model for Semi-supervised Learning4 Oct 2023
- 2023DealMVC: Dual Contrastive Calibration for Multi-view Clustering17 Aug 2023
- 2023Enhancing Human-like Multi-Modal Reasoning: A New Challenging Dataset and Comprehensive Framework24 Jul 2023
- 2023Latent SDEs on Homogeneous Spaces28 Jun 2023
- 2023Cross-Gate MLP with Protein Complex Invariant Embedding is A One-Shot Antibody Designer21 Apr 2023
- 2023Ontology-aware Network for Zero-shot Sketch-based Image Retrieval20 Feb 2023
4 more
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embedding14 Feb 2023
- 2023Online Continual Learning via the Knowledge Invariant and Spread-out Properties2 Feb 2023
- 2022PiFold: Toward effective and efficient protein inverse folding22 Sep 2022
- 2022Temporal Attention Unit: Towards Efficient Spatiotemporal Predictive Learning24 Jun 2022
- 2022Temporal Attention Unit: Towards Efficient Spatiotemporal Predictive Learningcited by 84
- 2022PiFold: Toward effective and efficient protein inverse foldingcited by 82
- 2023DealMVC: Dual Contrastive Calibration for Multi-view Clusteringcited by 19
- 2023Latent SDEs on Homogeneous Spacescited by 16
- 2023Cross-Gate MLP with Protein Complex Invariant Embedding is A One-Shot Antibody Designercited by 8
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
- 2025PAID: Pairwise Angular-Invariant Decomposition for Continual Test-Time Adaptationcited by 2
- 2023Online Continual Learning via the Knowledge Invariant and Spread-out Propertiescited by 1
- 2026Exploiting Label-Independent Regularization from Spatial Dependencies for Whole Slide Image Analysiscited by 1
- 2026PaperFit: Vision-in-the-Loop Typesetting Optimization for Scientific Documentscited by 1
- 2023Ontology-aware Network for Zero-shot Sketch-based Image Retrievalcited by 0
- 2025Beyond Self-Consistency: Loss-Balanced Perturbation-Based Regularization Improves Industrial-Scale Ads Rankingcited by 0
12 most cited of 14 All 14 (JSON)
- 2026PaperFit: Vision-in-the-Loop Typesetting Optimization for Scientific Documents11 May 2026
- 2026Exploiting Label-Independent Regularization from Spatial Dependencies for Whole Slide Image Analysis23 Feb 2026
- 2025Heterogeneous Federated Learning with Prototype Alignment and Upscaling6 Jul 2025
- 2025PAID: Pairwise Angular-Invariant Decomposition for Continual Test-Time Adaptation3 Jun 2025
- 2025Dual Teacher-Student Learning for Semi-supervised Medical Image Segmentation16 May 2025
- 2025Beyond Self-Consistency: Loss-Balanced Perturbation-Based Regularization Improves Industrial-Scale Ads Ranking5 Feb 2025
- 2023DealMVC: Dual Contrastive Calibration for Multi-view Clustering17 Aug 2023
- 2023Latent SDEs on Homogeneous Spaces28 Jun 2023
- 2023Cross-Gate MLP with Protein Complex Invariant Embedding is A One-Shot Antibody Designer21 Apr 2023
- 2023Ontology-aware Network for Zero-shot Sketch-based Image Retrieval20 Feb 2023
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embedding14 Feb 2023
- 2023Online Continual Learning via the Knowledge Invariant and Spread-out Properties2 Feb 2023
12 newest of 14 All 14 (JSON)