Three lectures on Fourier analysis and learning theory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914950699548672 |
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| author | Zhang, Haonan |
| author_facet | Zhang, Haonan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10886 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three lectures on Fourier analysis and learning theory Zhang, Haonan Functional Analysis Mathematical Physics Classical Analysis and ODEs 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. |
| title | Three lectures on Fourier analysis and learning theory |
| topic | Functional Analysis Mathematical Physics Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2409.10886 |