ConceptGFS / Generalized Fourier Series
Generalized Fourier Series
A series form in which a function is expanded in terms of an arbitrary set of basis functions orthogonal with respect to some weight function (such as orthogonal polynomials). It is a generalization of the classical Fourier series.
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Oct 16
This latest theoretical work expands the network output as a generalized Fourier series (GFS) under an orthogonal polynomial basis and writes the evolution of the coefficients under gradient descent as a system of ordinary differential equations, constructing an analytically tractable dynamics matrix H.
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