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Maximizing Incremental Information Entropy for Contrastive Learning

arXiv cs.LG / 3/16/2026

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Key Points

  • IE-CL introduces a framework that explicitly optimizes the entropy gain between augmented views in contrastive learning, addressing limitations of static augmentations.
  • The method frames the encoder as an information bottleneck and jointly optimizes a learnable transformation for entropy generation with an encoder regularizer to preserve semantic information.
  • Experiments on CIFAR-10/100, STL-10, and ImageNet show consistent performance gains in small-batch settings and indicate the approach can be integrated into existing contrastive-learning pipelines.
  • The work bridges theoretical information-theoretic principles with practical guidance, offering a new perspective for advancing contrastive representations.

Abstract

Contrastive learning has achieved remarkable success in self-supervised representation learning, often guided by information-theoretic objectives such as mutual information maximization. Motivated by the limitations of static augmentations and rigid invariance constraints, we propose IE-CL (Incremental-Entropy Contrastive Learning), a framework that explicitly optimizes the entropy gain between augmented views while preserving semantic consistency. Our theoretical framework reframes the challenge by identifying the encoder as an information bottleneck and proposes a joint optimization of two components: a learnable transformation for entropy generation and an encoder regularizer for its preservation. Experiments on CIFAR-10/100, STL-10, and ImageNet demonstrate that IE-CL consistently improves performance under small-batch settings. Moreover, our core modules can be seamlessly integrated into existing frameworks. This work bridges theoretical principles and practice, offering a new perspective in contrastive learning.