3 papers
math.FA2025
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)}dÎ…
physics.geo-ph2025
Seismic resolution enhancement via deep Learning with Knowledge Distillation and Domain Adaptation
Hanpeng Cai, Haonan Zhang, Liyu Zhang +1
High-resolution processing of seismic signals is crucial for subsurface geological characterization and thin-layer reservoir identification. Traditional high-resolution algorithms…
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…