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arXiv · 2409.10886

Three lectures on Fourier analysis and learning theory

Haonan Zhang
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Abstract

Fourier analysis on the discrete hypercubes $\{-1,1\}^n$ has found numerous applications in learning theory. A recent breakthrough involves the use of a classical result from Fourier analysis, the Bohnenblust--Hille inequality, in the context of learning low-degree Boolean functions. In these lecture notes, we explore this line of research and discuss recent progress in discrete quantum systems and classical Fourier analysis.

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Haonan Zhang. 2024-09-17. Three lectures on Fourier analysis and learning theory. https://arxiv.org/abs/2409.10886

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