A simple theory for training response of deep neural networks

Fuente: arXiv
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Autore principale: Nakazato, Kenichi
Natura: Preprint
Pubblicazione: 2024
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author Nakazato, Kenichi
author_facet Nakazato, Kenichi
contents Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a whole. The network's behavior is training dynamics with a feedback loop from the evaluation of the loss function. We already know the training response can be constant or shows power law-like aging in some ideal situations. However, we still have gaps between those findings and other complex phenomena, like network fragility. To fill the gap, we introduce a very simple network and analyze it. We show the training response consists of some different factors based on training stages, activation functions, or training methods. In addition, we show feature space reduction as an effect of stochastic training dynamics, which can result in network fragility. Finally, we discuss some complex phenomena of deep networks.
format Preprint
id arxiv_https___arxiv_org_abs_2405_04074
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A simple theory for training response of deep neural networks
Nakazato, Kenichi
Disordered Systems and Neural Networks
Artificial Intelligence
Machine Learning
Adaptation and Self-Organizing Systems
Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a whole. The network's behavior is training dynamics with a feedback loop from the evaluation of the loss function. We already know the training response can be constant or shows power law-like aging in some ideal situations. However, we still have gaps between those findings and other complex phenomena, like network fragility. To fill the gap, we introduce a very simple network and analyze it. We show the training response consists of some different factors based on training stages, activation functions, or training methods. In addition, we show feature space reduction as an effect of stochastic training dynamics, which can result in network fragility. Finally, we discuss some complex phenomena of deep networks.
title A simple theory for training response of deep neural networks
topic Disordered Systems and Neural Networks
Artificial Intelligence
Machine Learning
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2405.04074