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math.ST2025
Minimax rates for learning kernels in operators
Sichong Zhang, Xiong Wang, Fei Lu
Learning kernels in operators from data lies at the intersection of inverse problems and statistical learning, providing a powerful framework for capturing non-local dependencies i…
math.ST2025
Optimal minimax rate of learning nonlocal interaction kernels
Xiong Wang, Inbar Seroussi, Fei Lu
Nonparametric estimation of nonlocal interaction kernels is crucial in various applications involving interacting particle systems. The inference challenge, situated at the nexus o…