On neuronal capacity

DOI10.1088/1742-5468/ab3285zbMath1459.68166OpenAlexW2995454248MaRDI QIDQ5854113

Pierre Baldi, R. V. Vershinin

Publication date: 16 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/ab3285

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Neural networks for/in biological studies, artificial life and related topics (92B20)

Cites Work

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• The threshold order of a Boolean function
• The expressive power of voting polynomials
• The capacity of feedforward neural networks
• Extremal properties of polynomial threshold functions
• Discrete Mathematics of Neural Networks
• Neural networks, orientations of the hypercube, and algebraic threshold functions
• Polynomial Threshold Functions, Hyperplane Arrangements, and Random Tensors
• On Complete Sets of Logic Primitives
• Geometrical and Statistical Properties of Systems of Linear Inequalities with Applications in Pattern Recognition
• New degree bounds for polynomial threshold functions

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