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Approximation theory
Theory of getting acceptably close inexact mathematical calculations
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Rational Activation Functions (1) · Neural Networks (1) · Parameter Efficiency (1) · Expressivity (1) · Approximation Theory (1) · Machine Learning (1) · arXiv Research (1)
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In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby. What is meant by best and simpler will depend on the application.
A closely related topic is the approximation of functions by generalized Fourier series, that is, approximations based upon summation of a series of terms based upon orthogonal polynomials.
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🇺🇸 Rational Neural Networks have Expressivity Advantages
arXiv:2602.12390v1 Announce Type: cross Abstract: We study neural networks with trainable low-degree rational activation functions and show that they...
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