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math.FA2024
Three lectures on Fourier analysis and learning theory
Haonan Zhang
Fourier analysis on the discrete hypercubes has found numerous applications in learning theory. A recent breakthrough involves the use of a classical result from Fouri…
math.FA2024
On the Eldan-Gross inequality
Paata Ivanisvili, Haonan Zhang
A recent discovery of Eldan and Gross states that there exists a universal such that for all Boolean functions , $$ \int_{\{-1,1\}^n}\sqrt{s_f(x)}dμ…
math.FA2020★ 4 cited
Optimal 2-uniform convexity of Schatten classes revisited
Haonan Zhang
The optimal 2-uniform convexity of Schatten classes was first proved by Ball, Carlen and Lieb \cite{BCL94}. In this note we revisit this result using multiple opera…