A Note on Connecting Barlow Twins with Negative-Sample-Free Contrastive Learning
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Abstract (arXiv)
In this report, we relate the algorithmic design of Barlow Twins' method to the Hilbert-Schmidt Independence Criterion (HSIC), thus establishing it as a contrastive learning approach that is free of negative samples. Through this perspective, we argue that Barlow Twins (and thus the class of negative-sample-free contrastive learning methods) suggests a possibility to bridge the two major families of self-supervised learning philosophies: non-contrastive and contrastive approaches. In particular, Barlow twins exemplified how we could combine the best practices of both worlds: avoiding the need of large training batch size and negative sample pairing (like non-contrastive methods) and avoiding symmetry-breaking network designs (like contrastive methods).
Key facts. Cited by 26 papers in the map (data through 14 Oct 2026). Builds on 9 of its 16 references that are in the map. First posted on arXiv 28 Apr 2021.
Builds on
9 of 16 references.
References · 9
- 2015Deep Residual Learning for Image Recognitioncited by 52,096
- 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 12,049
- 2019Momentum Contrast for Unsupervised Visual Representation Learningcited by 7,513
- 2020Bootstrap your own latent: A new approach to self-supervised Learningcited by 4,750
- 2020Exploring Simple Siamese Representation Learningcited by 2,866
- 2021Barlow Twins: Self-Supervised Learning via Redundancy Reductioncited by 1,838
- 2018Learning deep representations by mutual information estimation and maximizationcited by 1,273
- 2019Wasserstein Dependency Measure for Representation Learningcited by 69
- 2021Self-supervised Representation Learning with Relative Predictive Codingcited by 28
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Citing papers per year: 2021: 5; 2022: 9; 2023: 7; 2024: 2; 2025: 3.
26 papers.
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- 2021An Empirical Study of Graph Contrastive Learningcited by 113
- 2022On the duality between contrastive and non-contrastive self-supervised learningcited by 108
- 2021Graph Barlow Twins: A self-supervised representation learning framework for graphscited by 85
- 2021Self-Supervised Learning with Kernel Dependence Maximizationcited by 77
- 2022COCOA: Cross Modality Contrastive Learning for Sensor Datacited by 21
- 2023Matrix Information Theory for Self-Supervised Learningcited by 21
- 2023Information Flow in Self-Supervised Learningcited by 16
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representationscited by 10
- 2022RenyiCL: Contrastive Representation Learning with Skew Renyi Divergencecited by 8
- 2023Guarding Barlow Twins Against Overfitting with Mixed Samplescited by 8
- 2021DECAR: Deep Clustering for learning general-purpose Audio Representationscited by 7
- 2025PEER pressure: Model-to-Model Regularization for Single Source Domain Generalizationcited by 7
14 more
- 2022Augmentation Component Analysis: Modeling Similarity via the Augmentation Overlapscited by 5
- 2022Audio Barlow Twins: Self-Supervised Audio Representation Learningcited by 5
- 2024Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learningcited by 4
- 2023FroSSL: Frobenius Norm Minimization for Efficient Multiview Self-Supervised Learningcited by 2
- 2021GraphVICRegHSIC: Towards improved self-supervised representation learning for graphs with a hyrbid loss functioncited by 1
- 2022DeLoRes: Decorrelating Latent Spaces for Low-Resource Audio Representation Learningcited by 1
- 2022KG-NSF: Knowledge Graph Completion with a Negative-Sample-Free Approachcited by 1
- 2025Supervised Pretraining for Material Property Predictioncited by 1
- 2022Out-of-Distribution Detection with Hilbert-Schmidt Independence Optimizationcited by 0
- 2023BTSeg: Barlow Twins Regularization for Domain Adaptation in Semantic Segmentationcited by 0
- 2023An Empirical Study of Self-supervised Learning with Wasserstein Distancecited by 0
- 2023Deep Tensor Networkcited by 0
- 2024Maximum Manifold Capacity Representations in State Representation Learningcited by 0
- 2025Self-Supervised Representation Learning as Mutual Information Maximizationcited by 0
- 2025Self-Supervised Representation Learning as Mutual Information Maximization1 Oct 2025
- 2025PEER pressure: Model-to-Model Regularization for Single Source Domain Generalization19 May 2025
- 2025Supervised Pretraining for Material Property Prediction27 Apr 2025
- 2024Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning2 Dec 2024
- 2024Maximum Manifold Capacity Representations in State Representation Learning22 May 2024
- 2023Guarding Barlow Twins Against Overfitting with Mixed Samples4 Dec 2023
- 2023Deep Tensor Network18 Nov 2023
- 2023An Empirical Study of Self-supervised Learning with Wasserstein Distance16 Oct 2023
- 2023FroSSL: Frobenius Norm Minimization for Efficient Multiview Self-Supervised Learning4 Oct 2023
- 2023Information Flow in Self-Supervised Learning29 Sep 2023
- 2023BTSeg: Barlow Twins Regularization for Domain Adaptation in Semantic Segmentation31 Aug 2023
- 2023Matrix Information Theory for Self-Supervised Learning27 May 2023
14 more
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representations29 Sep 2022
- 2022Audio Barlow Twins: Self-Supervised Audio Representation Learning28 Sep 2022
- 2022Out-of-Distribution Detection with Hilbert-Schmidt Independence Optimization26 Sep 2022
- 2022RenyiCL: Contrastive Representation Learning with Skew Renyi Divergence12 Aug 2022
- 2022COCOA: Cross Modality Contrastive Learning for Sensor Data31 Jul 2022
- 2022KG-NSF: Knowledge Graph Completion with a Negative-Sample-Free Approach29 Jul 2022
- 2022On the duality between contrastive and non-contrastive self-supervised learning3 Jun 2022
- 2022Augmentation Component Analysis: Modeling Similarity via the Augmentation Overlaps1 Jun 2022
- 2022DeLoRes: Decorrelating Latent Spaces for Low-Resource Audio Representation Learning25 Mar 2022
- 2021DECAR: Deep Clustering for learning general-purpose Audio Representations17 Oct 2021
- 2021An Empirical Study of Graph Contrastive Learning2 Sep 2021
- 2021Self-Supervised Learning with Kernel Dependence Maximization15 Jun 2021
- 2021Graph Barlow Twins: A self-supervised representation learning framework for graphs4 Jun 2021
- 2021GraphVICRegHSIC: Towards improved self-supervised representation learning for graphs with a hyrbid loss function25 May 2021
- 2021An Empirical Study of Graph Contrastive Learningcited by 113
- 2022On the duality between contrastive and non-contrastive self-supervised learningcited by 108
- 2021Graph Barlow Twins: A self-supervised representation learning framework for graphscited by 85
- 2021Self-Supervised Learning with Kernel Dependence Maximizationcited by 77
- 2022COCOA: Cross Modality Contrastive Learning for Sensor Datacited by 21
- 2023Matrix Information Theory for Self-Supervised Learningcited by 21
- 2023Information Flow in Self-Supervised Learningcited by 16
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representationscited by 10
- 2022RenyiCL: Contrastive Representation Learning with Skew Renyi Divergencecited by 8
- 2023Guarding Barlow Twins Against Overfitting with Mixed Samplescited by 8
- 2021DECAR: Deep Clustering for learning general-purpose Audio Representationscited by 7
- 2025PEER pressure: Model-to-Model Regularization for Single Source Domain Generalizationcited by 7
12 most cited of 26 All 26 (JSON)
- 2025Self-Supervised Representation Learning as Mutual Information Maximization1 Oct 2025
- 2025PEER pressure: Model-to-Model Regularization for Single Source Domain Generalization19 May 2025
- 2025Supervised Pretraining for Material Property Prediction27 Apr 2025
- 2024Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning2 Dec 2024
- 2024Maximum Manifold Capacity Representations in State Representation Learning22 May 2024
- 2023Guarding Barlow Twins Against Overfitting with Mixed Samples4 Dec 2023
- 2023Deep Tensor Network18 Nov 2023
- 2023An Empirical Study of Self-supervised Learning with Wasserstein Distance16 Oct 2023
- 2023FroSSL: Frobenius Norm Minimization for Efficient Multiview Self-Supervised Learning4 Oct 2023
- 2023Information Flow in Self-Supervised Learning29 Sep 2023
- 2023BTSeg: Barlow Twins Regularization for Domain Adaptation in Semantic Segmentation31 Aug 2023
- 2023Matrix Information Theory for Self-Supervised Learning27 May 2023
12 newest of 26 All 26 (JSON)