The Role of Entropy and Reconstruction in Multi-View Self-Supervised Learning
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Abstract (arXiv)
The mechanisms behind the success of multi-view self-supervised learning (MVSSL) are not yet fully understood. Contrastive MVSSL methods have been studied through the lens of InfoNCE, a lower bound of the Mutual Information (MI). However, the relation between other MVSSL methods and MI remains unclear. We consider a different lower bound on the MI consisting of an entropy and a reconstruction term (ER), and analyze the main MVSSL families through its lens. Through this ER bound, we show that clustering-based methods such as DeepCluster and SwAV maximize the MI. We also re-interpret the mechanisms of distillation-based approaches such as BYOL and DINO, showing that they explicitly maximize the reconstruction term and implicitly encourage a stable entropy, and we confirm this empirically. We show that replacing the objectives of common MVSSL methods with this ER bound achieves competitive performance, while making them stable when training with smaller batch sizes or smaller exponential moving average (EMA) coefficients. Github repo: https://github.com/apple/ml-entropy-reconstruction.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 38 of its 53 references that are in the map. First posted on arXiv 20 Jul 2023.
Builds on
38 of 53 references.
References · 38
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Citing papers per year: 2024: 5; 2025: 4; 2026: 4.
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- 2024Towards an Improved Understanding and Utilization of Maximum Manifold Capacity Representations13 Jun 2024
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1 more
- 2024Poly-View Contrastive Learningcited by 9
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- 2026Understanding Self-Supervised Learning via Latent Distribution Matchingcited by 4
- 2025Generalized Category Discovery via Token Manifold Capacity Learningcited by 3
- 2024A Coding-Theoretic Analysis of Hyperspherical Prototypical Learning Geometrycited by 1
- 2025Maximally Useful and Minimally Redundant: The Key to Self Supervised Learning for Imbalanced Datacited by 1
- 2025Multimodal Datasets with Controllable Mutual Informationcited by 1
- 2026MAPLE: Self-Supervised Learning-Enhanced Nonlinear Dimensionality Reduction for Visual Analysiscited by 1
- 2024Maximum Manifold Capacity Representations in State Representation Learningcited by 0
- 2026Provable Subspace Identification of Nonlinear Multi-view CCAcited by 0
- 2026Predictive Self-Supervised Learning Provably Identifies Stochastic Signals under Nuisancecited by 0
- 2026Predictive Self-Supervised Learning Provably Identifies Stochastic Signals under Nuisance29 Sep 2026
- 2026Understanding Self-Supervised Learning via Latent Distribution Matching5 May 2026
- 2026Provable Subspace Identification of Nonlinear Multi-view CCA27 Feb 2026
- 2026MAPLE: Self-Supervised Learning-Enhanced Nonlinear Dimensionality Reduction for Visual Analysis28 Jan 2026
- 2025Multimodal Datasets with Controllable Mutual Information24 Oct 2025
- 2025Maximally Useful and Minimally Redundant: The Key to Self Supervised Learning for Imbalanced Data10 Sep 2025
- 2025Generalized Category Discovery via Token Manifold Capacity Learning20 May 2025
- 2024A Coding-Theoretic Analysis of Hyperspherical Prototypical Learning Geometry10 Jul 2024
- 2024Towards an Improved Understanding and Utilization of Maximum Manifold Capacity Representations13 Jun 2024
- 2024Maximum Manifold Capacity Representations in State Representation Learning22 May 2024
- 2024Poly-View Contrastive Learning8 Mar 2024
- 2024Separating common from salient patterns with Contrastive Representation Learning19 Feb 2024