{"ID":2865101,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.22748","arxiv_id":"2509.22748","title":"Generalization Analysis for Classification on Korobov Space","abstract":"In this paper, the classification algorithm arising from Tikhonov regularization is discussed. The main intention is to derive learning rates for the excess misclassification error according to the convex $η$-norm loss function $φ(v)=(1 - v)_{+}^η$, $η\\geq1$. Following the argument, the estimation of error under Tsybakov noise conditions is studied. In addition, we propose the rate of $L_p$ approximation of functions from Korobov space $X^{2, p}([-1,1]^{d})$, $1\\leq p \\leq \\infty$, by the shallow ReLU neural network. This result consists of a novel Fourier analysis","short_abstract":"In this paper, the classification algorithm arising from Tikhonov regularization is discussed. The main intention is to derive learning rates for the excess misclassification error according to the convex $η$-norm loss function $φ(v)=(1 - v)_{+}^η$, $η\\geq1$. Following the argument, the estimation of error under Tsybak...","url_abs":"https://arxiv.org/abs/2509.22748","url_pdf":"https://arxiv.org/pdf/2509.22748v1","authors":"[\"Yuqing Liu\"]","published":"2025-09-26T06:56:45Z","proceeding":"math.ST","tasks":"[\"math.ST\",\"cs.LG\",\"stat.ML\"]","methods":"[]","has_code":false}