mlsanityData to 14 Oct 2026

Understanding and Leveraging the Learning Phases of Neural Networks

arXiv 2312.06887 ↗First posted 11 Dec 2023cs.LG cs.AIcited by 2

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Abstract (arXiv)

The learning dynamics of deep neural networks are not well understood. The information bottleneck (IB) theory proclaimed separate fitting and compression phases. But they have since been heavily debated. We comprehensively analyze the learning dynamics by investigating a layer's reconstruction ability of the input and prediction performance based on the evolution of parameters during training. We empirically show the existence of three phases using common datasets and architectures such as ResNet and VGG: (i) near constant reconstruction loss, (ii) decrease, and (iii) increase. We also derive an empirically grounded data model and prove the existence of phases for single-layer networks. Technically, our approach leverages classical complexity analysis. It differs from IB by relying on measuring reconstruction loss rather than information theoretic measures to relate information of intermediate layers and inputs. Our work implies a new best practice for transfer learning: We show empirically that the pre-training of a classifier should stop well before its performance is optimal.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 21 of its 31 references that are in the map. First posted on arXiv 11 Dec 2023.

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21 of 31 references.

References · 21

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9 more
  1. 2018Generalization Error in Deep Learningcited by 47
  2. 2016Optimality of the Johnson-Lindenstrauss Lemmacited by 42
  3. 2020On Information Plane Analyses of Neural Network Classifiers -- A Reviewcited by 37
  4. 2021PAC-Bayes Information Bottleneckcited by 28
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  8. 2020Are Deep Neural Architectures Losing Information? Invertibility Is Indispensablecited by 9
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