3 papers
cs.LG2024
Benign Overfitting under Learning Rate Conditions for Sub-exponential Input
Kota Okudo, Kei Kobayashi
This paper investigates the phenomenon of benign overfitting in binary classification problems with heavy-tailed input distributions, extending the analysis of maximum margin class…
math.PR2024
Heat content for Gaussian processes: small-time asymptotic analysis
Kei Kobayashi, Hyunchul Park
This paper establishes the small-time asymptotic behaviors of the regular heat content and spectral heat content for general Gaussian processes in both one-dimensional and multi-di…
math.PR2024
A unified approach to the small-time behavior of the spectral heat content for isotropic Lévy processes
Kei Kobayashi, Hyunchul Park
This paper establishes the precise small-time asymptotic behavior of the spectral heat content for isotropic Lévy processes on bounded open sets of with…