Contrastive learning, multi-view redundancy, and linear models
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Abstract (arXiv)
Self-supervised learning is an empirically successful approach to unsupervised learning based on creating artificial supervised learning problems. A popular self-supervised approach to representation learning is contrastive learning, which leverages naturally occurring pairs of similar and dissimilar data points, or multiple views of the same data. This work provides a theoretical analysis of contrastive learning in the multi-view setting, where two views of each datum are available. The main result is that linear functions of the learned representations are nearly optimal on downstream prediction tasks whenever the two views provide redundant information about the label.
Key facts. Cited by 146 papers in the map (data through 7 Oct 2026). First posted on arXiv 24 Aug 2020.
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Citing papers per year: 2021: 28; 2022: 36; 2023: 35; 2024: 17; 2025: 20; 2026: 10.
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- 2021Understanding Dimensional Collapse in Contrastive Self-supervised Learningcited by 374
- 2021Provable Guarantees for Self-Supervised Deep Learning with Spectral Contrastive Losscited by 311
- 2021Self-Supervised Learning with Data Augmentations Provably Isolates Content from Stylecited by 308
- 2021Understanding self-supervised Learning Dynamics without Contrastive Pairscited by 254
- 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trendscited by 205
- 2022Contrastive and Non-Contrastive Self-Supervised Learning Recover Global and Local Spectral Embedding Methodscited by 146
- 2021Self-supervised Learning is More Robust to Dataset Imbalancecited by 122
- 2021Toward Understanding the Feature Learning Process of Self-supervised Contrastive Learningcited by 119
- 2022A Kernel-Based View of Language Model Fine-Tuningcited by 118
- 2022Foundations and Trends in Multimodal Machine Learning: Principles, Challenges, and Open Questionscited by 116
- 2022Chaos is a Ladder: A New Theoretical Understanding of Contrastive Learning via Augmentation Overlapcited by 105
- 2022Understanding Contrastive Learning Requires Incorporating Inductive Biasescited by 96
38 more
- 2021Divide and Contrast: Self-supervised Learning from Uncurated Datacited by 85
- 2021WenLan: Bridging Vision and Language by Large-Scale Multi-Modal Pre-Trainingcited by 84
- 2021Why Do Pretrained Language Models Help in Downstream Tasks? An Analysis of Head and Prompt Tuningcited by 82
- 2023Quantifying & Modeling Multimodal Interactions: An Information Decomposition Frameworkcited by 81
- 2023Factorized Contrastive Learning: Going Beyond Multi-view Redundancycited by 73
- 2023Multi-View Causal Representation Learning with Partial Observabilitycited by 72
- 2021Generative and Contrastive Self-Supervised Learning for Graph Anomaly Detectioncited by 67
- 2022Audio Self-supervised Learning: A Surveycited by 65
- 2021Investigating the Role of Negatives in Contrastive Representation Learningcited by 54
- 2021The Power of Contrast for Feature Learning: A Theoretical Analysiscited by 53
- 2021Lossy Compression for Lossless Predictioncited by 51
- 2022Making Linear MDPs Practical via Contrastive Representation Learningcited by 49
- 2021Understanding Negative Samples in Instance Discriminative Self-supervised Representation Learningcited by 47
- 2022Beyond Separability: Analyzing the Linear Transferability of Contrastive Representations to Related Subpopulationscited by 44
- 2023The SSL Interplay: Augmentations, Inductive Bias, and Generalizationcited by 40
- 2022The Mechanism of Prediction Head in Non-contrastive Self-supervised Learningcited by 38
- 2022A Theoretical Study of Inductive Biases in Contrastive Learningcited by 38
- 2021Understanding Latent Correlation-Based Multiview Learning and Self-Supervision: An Identifiability Perspectivecited by 37
- 2022On the Power of Foundation Modelscited by 37
- 2023InfoNCE Loss Provably Learns Cluster-Preserving Representationscited by 37
- 2023On the Stepwise Nature of Self-Supervised Learningcited by 36
- 2022Improving Self-Supervised Learning by Characterizing Idealized Representationscited by 33
- 2022Contrastive Learning Can Find An Optimal Basis For Approximately View-Invariant Functionscited by 32
- 2023Towards a Unified Theoretical Understanding of Non-contrastive Learning via Rank Differential Mechanismcited by 32
- 2023Which Features are Learnt by Contrastive Learning? On the Role of Simplicity Bias in Class Collapse and Feature Suppressioncited by 30
- 2023Revisiting Discriminative vs. Generative Classifiers: Theory and Implicationscited by 29
- 2022Your Contrastive Learning Is Secretly Doing Stochastic Neighbor Embeddingcited by 28
- 2025Understanding the Emergence of Multimodal Representation Alignmentcited by 28
- 2021Self-supervised Representation Learning with Relative Predictive Codingcited by 27
- 2023The Trade-off between Universality and Label Efficiency of Representations from Contrastive Learningcited by 27
- 2021Conditional Contrastive Learning for Improving Fairness in Self-Supervised Learningcited by 25
- 2021On the Surrogate Gap between Contrastive and Supervised Lossescited by 25
- 2023Generalization Analysis for Contrastive Representation Learningcited by 25
- 2021Towards Demystifying Representation Learning with Non-contrastive Self-supervisioncited by 23
- 2021Object-Aware Cropping for Self-Supervised Learningcited by 22
- 2022Augment with Care: Contrastive Learning for Combinatorial Problemscited by 22
- 2023A Graph-Theoretic Framework for Understanding Open-World Semi-Supervised Learningcited by 22
- 2023On the Provable Advantage of Unsupervised Pretrainingcited by 21
50 most cited of 146 All 146 (JSON)
- 2026Which Tasks Survive Self-Supervised Learning?29 Sep 2026
- 2026Structured Latent Modeling for Supervised Multimodal Information Decomposition28 Sep 2026
- 2026An Analysis of Self-supervised Pre-training with Dependent Samples4 Sep 2026
- 2026Expressivity In Multimodal Contrastive Learning17 Aug 2026
- 2026MABLE: Masked Autoencoding with Bi-Lipschitz Decoding for Embeddings and Graph Metric Learning3 Jul 2026
- 2026Sketched Linear Contrastive Learning: Approximation, Optimization, and Statistical Scaling25 Jun 2026
- 2026Quantifying Multimodal Capabilities: Formal Generalization Guarantees in Pairwise Metric Learning2 May 2026
- 2026Directional Neural Collapse Explains Few-Shot Transfer in Self-Supervised Learning3 Mar 2026
- 2026Orthogonalized Multimodal Contrastive Learning with Asymmetric Masking for Structured Representations16 Feb 2026
- 2026A Vision for Multisensory Intelligence: Sensing, Science, and Synergy8 Jan 2026
- 2025SAVeD: Semantic Aware Version Discovery21 Nov 2025
- 2025On the Alignment Between Supervised and Self-Supervised Contrastive Learning9 Oct 2025
38 more
- 2025Partial Information Decomposition via Normalizing Flows in Latent Gaussian Distributions6 Oct 2025
- 2025Disentanglement of Variations with Multimodal Generative Modeling28 Sep 2025
- 2025IndiSeek learns information-guided disentangled representations25 Sep 2025
- 2025The Complexity of Finding Local Optima in Contrastive Learning21 Sep 2025
- 2025DRKF: Decoupled Representations with Knowledge Fusion for Multimodal Emotion Recognition3 Aug 2025
- 2025Causal Representation Learning with Observational Grouping for CXR Classification25 Jun 2025
- 2025Self-Supervised Contrastive Learning is Approximately Supervised Contrastive Learning4 Jun 2025
- 2025Representation Learning via Non-Contrastive Mutual Information23 Apr 2025
- 2025A Statistical Theory of Contrastive Learning via Approximate Sufficient Statistics21 Mar 2025
- 2025A Tale of Two Classes: Adapting Supervised Contrastive Learning to Binary Imbalanced Datasets21 Mar 2025
- 2025Towards Achieving Perfect Multimodal Alignment19 Mar 2025
- 2025A Survey on Self-supervised Contrastive Learning for Multimodal Text-Image Analysis14 Mar 2025
- 2025CIMAGE: Exploiting the Conditional Independence in Masked Graph Auto-encoders10 Mar 2025
- 2025Cross-Lingual IPA Contrastive Learning for Zero-Shot NER10 Mar 2025
- 2025RANGE: Retrieval Augmented Neural Fields for Multi-Resolution Geo-Embeddings27 Feb 2025
- 2025Provable Benefits of Unsupervised Pre-training and Transfer Learning via Single-Index Models24 Feb 2025
- 2025Understanding the Emergence of Multimodal Representation Alignment22 Feb 2025
- 2025When Do Neural Networks Learn World Models?13 Feb 2025
- 2024Tight PAC-Bayesian Risk Certificates for Contrastive Learning4 Dec 2024
- 2024An Information Criterion for Controlled Disentanglement of Multimodal Data31 Oct 2024
- 2024Contrastive Learning to Fine-Tune Feature Extraction Models for the Visual Cortex8 Oct 2024
- 2024Investigating the Impact of Model Complexity in Large Language Models1 Oct 2024
- 2024Bridging OOD Detection and Generalization: A Graph-Theoretic View26 Sep 2024
- 2024Beyond Redundancy: Information-aware Unsupervised Multiplex Graph Structure Learning25 Sep 2024
- 2024A Unified Framework for Combinatorial Optimization Based on Graph Neural Networks19 Jun 2024
- 2024Contrastive Learning from Synthetic Audio Doppelg"angers9 Jun 2024
- 2024MUC: Machine Unlearning for Contrastive Learning with Black-box Evaluation5 Jun 2024
- 2024Causal Contrastive Learning for Counterfactual Regression Over Time1 Jun 2024
- 2024A Generalization Theory of Cross-Modality Distillation with Contrastive Learning6 May 2024
- 2024Weighted Point Set Embedding for Multimodal Contrastive Learning Toward Optimal Similarity Metric30 Apr 2024
- 2024f-MICL: Understanding and Generalizing InfoNCE-based Contrastive Learning15 Feb 2024
- 2024Low-Rank Approximation of Structural Redundancy for Self-Supervised Learning10 Feb 2024
- 2024A Probabilistic Model Behind Self-Supervised Learning2 Feb 2024
- 2024Better Representations via Adversarial Training in Pre-Training: A Theoretical Perspective26 Jan 2024
- 2024Complementary Information Mutual Learning for Multimodality Medical Image Segmentation5 Jan 2024
- 2023Spectral Temporal Contrastive Learning1 Dec 2023
- 2023Optimal Sample Complexity of Contrastive Learning1 Dec 2023
- 2023Multi-View Causal Representation Learning with Partial Observability7 Nov 2023
50 newest of 146 All 146 (JSON)
- 2026Expressivity In Multimodal Contrastive Learningcited by 0
- 2026Expressivity In Multimodal Contrastive Learning17 Aug 2026
- 2025When Do Neural Networks Learn World Models?cited by 8
- 2025When Do Neural Networks Learn World Models?13 Feb 2025
- 2021Understanding Dimensional Collapse in Contrastive Self-supervised Learningcited by 374
- 2021Provable Guarantees for Self-Supervised Deep Learning with Spectral Contrastive Losscited by 311
- 2021Self-Supervised Learning with Data Augmentations Provably Isolates Content from Stylecited by 308
- 2021Understanding self-supervised Learning Dynamics without Contrastive Pairscited by 254
- 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trendscited by 205
- 2022Contrastive and Non-Contrastive Self-Supervised Learning Recover Global and Local Spectral Embedding Methodscited by 146
- 2021Self-supervised Learning is More Robust to Dataset Imbalancecited by 122
- 2021Toward Understanding the Feature Learning Process of Self-supervised Contrastive Learningcited by 119
- 2022A Kernel-Based View of Language Model Fine-Tuningcited by 118
- 2022Foundations and Trends in Multimodal Machine Learning: Principles, Challenges, and Open Questionscited by 116
- 2022Chaos is a Ladder: A New Theoretical Understanding of Contrastive Learning via Augmentation Overlapcited by 105
- 2022Understanding Contrastive Learning Requires Incorporating Inductive Biasescited by 96
12 most cited of 143 All 143 (JSON)
- 2026Which Tasks Survive Self-Supervised Learning?29 Sep 2026
- 2026Structured Latent Modeling for Supervised Multimodal Information Decomposition28 Sep 2026
- 2026An Analysis of Self-supervised Pre-training with Dependent Samples4 Sep 2026
- 2026MABLE: Masked Autoencoding with Bi-Lipschitz Decoding for Embeddings and Graph Metric Learning3 Jul 2026
- 2026Sketched Linear Contrastive Learning: Approximation, Optimization, and Statistical Scaling25 Jun 2026
- 2026Quantifying Multimodal Capabilities: Formal Generalization Guarantees in Pairwise Metric Learning2 May 2026
- 2026Directional Neural Collapse Explains Few-Shot Transfer in Self-Supervised Learning3 Mar 2026
- 2026Orthogonalized Multimodal Contrastive Learning with Asymmetric Masking for Structured Representations16 Feb 2026
- 2026A Vision for Multisensory Intelligence: Sensing, Science, and Synergy8 Jan 2026
- 2025SAVeD: Semantic Aware Version Discovery21 Nov 2025
- 2025On the Alignment Between Supervised and Self-Supervised Contrastive Learning9 Oct 2025
- 2025Partial Information Decomposition via Normalizing Flows in Latent Gaussian Distributions6 Oct 2025
12 newest of 143 All 143 (JSON)