Information Plane Analysis Visualization in Deep Learning via Transfer Entropy

Fuente: arXiv
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Auteurs principaux: Moldovan, Adrian, Cataron, Angel, Andonie, Razvan
Format: Preprint
Publié: 2024
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author Moldovan, Adrian
Cataron, Angel
Andonie, Razvan
author_facet Moldovan, Adrian
Cataron, Angel
Andonie, Razvan
contents In a feedforward network, Transfer Entropy (TE) can be used to measure the influence that one layer has on another by quantifying the information transfer between them during training. According to the Information Bottleneck principle, a neural model's internal representation should compress the input data as much as possible while still retaining sufficient information about the output. Information Plane analysis is a visualization technique used to understand the trade-off between compression and information preservation in the context of the Information Bottleneck method by plotting the amount of information in the input data against the compressed representation. The claim that there is a causal link between information-theoretic compression and generalization, measured by mutual information, is plausible, but results from different studies are conflicting. In contrast to mutual information, TE can capture temporal relationships between variables. To explore such links, in our novel approach we use TE to quantify information transfer between neural layers and perform Information Plane analysis. We obtained encouraging experimental results, opening the possibility for further investigations.
format Preprint
id arxiv_https___arxiv_org_abs_2404_01364
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Information Plane Analysis Visualization in Deep Learning via Transfer Entropy
Moldovan, Adrian
Cataron, Angel
Andonie, Razvan
Machine Learning
Artificial Intelligence
Human-Computer Interaction
Information Theory
In a feedforward network, Transfer Entropy (TE) can be used to measure the influence that one layer has on another by quantifying the information transfer between them during training. According to the Information Bottleneck principle, a neural model's internal representation should compress the input data as much as possible while still retaining sufficient information about the output. Information Plane analysis is a visualization technique used to understand the trade-off between compression and information preservation in the context of the Information Bottleneck method by plotting the amount of information in the input data against the compressed representation. The claim that there is a causal link between information-theoretic compression and generalization, measured by mutual information, is plausible, but results from different studies are conflicting. In contrast to mutual information, TE can capture temporal relationships between variables. To explore such links, in our novel approach we use TE to quantify information transfer between neural layers and perform Information Plane analysis. We obtained encouraging experimental results, opening the possibility for further investigations.
title Information Plane Analysis Visualization in Deep Learning via Transfer Entropy
topic Machine Learning
Artificial Intelligence
Human-Computer Interaction
Information Theory
url https://arxiv.org/abs/2404.01364