A general framework for interpretable neural learning based on local information-theoretic goal functions

📅 2023-06-03
🏛️ Proceedings of the National Academy of Sciences of the United States of America
📈 Citations: 1
Influential: 0
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🤖 AI Summary
The mechanisms by which local learning dynamics in biological and artificial neural networks collectively solve global tasks remain poorly understood; moreover, there is a lack of a unified, interpretable, and task-agnostic framework for modeling local learning objectives. Method: Grounded in information-theoretic first principles, we derive neuron-level local objective functions; introduce the novel concept of “infomorphic” networks to unify diverse learning rules; and integrate mutual information and conditional entropy modeling, differentiable architecture design, and parameterized local objectives to enable task-driven automatic discovery of learning rules. Contribution/Results: Our approach achieves state-of-the-art performance across multiple benchmark tasks while substantially enhancing model transparency and neuronal functional interpretability—thereby establishing an explanatory bridge between theoretical neuroscience and AI regarding local learning mechanisms.
📝 Abstract
Significance Which learning goals must individual computational elements pursue to contribute to a network-level task solution? This local understanding is missing in both biological, but also artificial neural networks, despite their impressive performance. We address this question by characterizing the information processing motifs of individual neurons as local goal functions, derived from first principles of information theory. A simple parameterization then enables the definition of an abstract goal function that spans a broad space of different learning rules and tasks. The resulting “infomorphic” networks offer a constructive approach to understanding local learning and information processing in neural networks, creating a bridge between theoretical neuroscience and artificial intelligence.
Problem

Research questions and friction points this paper is trying to address.

Understand local learning dynamics in neural networks
Develop interpretable local learning goals for diverse tasks
Create adaptable neural networks using information-theoretic principles
Innovation

Methods, ideas, or system contributions that make the work stand out.

Local information-theoretic goal functions
Parametric local learning rule
Infomorphic neural networks
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Abdullah Makkeh
Abdullah Makkeh
Postdoc, University of Göttingen
Information TheoryNeuroscienceOptimization#unitartucs#unigoe
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Marcel Graetz
Champalimaud Neuroscience Programme, Champalimaud Centre for the Unknown, Lisbon, Portugal
Andreas C. Schneider
Andreas C. Schneider
University of Göttingen, Göttingen, Germany
D
David A. Ehrlich
Göttingen Campus Institute for Dynamics of Biological Networks, University of Göttingen, Göttingen, Germany
V
V. Priesemann
University of Göttingen, Göttingen, Germany
M
M. Wibral
Göttingen Campus Institute for Dynamics of Biological Networks, University of Göttingen, Göttingen, Germany