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Neural network training as a dissipative process.

Marco Gori1, Marco Maggini1, Alessandro Rossi1

  • 1Department of Information Engineering and Mathematics, University of Siena, Italy.

Neural Networks : the Official Journal of the International Neural Network Society
|July 9, 2016
PubMed
Summary
This summary is machine-generated.

This study presents a new theory of learning as a continuous temporal process, inspired by mechanics. It connects learning to energy dissipation and shows its link to gradient descent in neural networks.

Keywords:
Dissipative systemsOn-line back-propagationRegularization networksTemporal manifolds

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Theoretical Neuroscience

Background:

  • Learning is often modeled as a discrete process.
  • Existing frameworks lack a unified temporal perspective.
  • Intelligent agent interaction with environments is key.

Purpose of the Study:

  • To propose a theory of learning as a continuous temporal process.
  • To integrate regularization with temporal dynamics using mechanics principles.
  • To interpret learning as a dissipative process.

Main Methods:

  • Introduced the principle of least cognitive action.
  • Defined counterparts of kinetic and potential energy for cognitive systems.
  • Applied the theory to supervised learning in neural networks.

Main Results:

  • Developed a theoretical framework for continuous temporal learning.
  • Connected Euler-Lagrange equations to gradient descent.
  • Demonstrated preliminary experimental validation.

Conclusions:

  • The proposed theory offers a novel perspective on learning.
  • Learning can be viewed as a dissipative process.
  • The framework provides a link between mechanics and machine learning algorithms.