报告人：明平兵 研究员（中国科学院数学与系统科学研究院）

时间：2026年4月20日 10:30-

地点：数统学院LD718

摘要：We shall discuss various Barron type spaces arising from neural network. The relations among them will be clarified, and we also establish the relationship among the spetral Barron space and the classical function spaces such as Besov space, Sobolev space and Bessel potential space, which answer the question proposed by Girosi and Anzellotti in 1993. As an application, certain new approximation results for the shallow neural network and deep neural network with the Barron class as the target function space will be proved. We shall also discuss the Barron regularity for certain PDEs, in particularly for many-particle Schrödinger equations. This is a joint work with Yulei Liao (The University of Hong Kong), Yan Meng (Renmin University of China) and Hao Yu (AMSS, Chinese Academy of Sciences) .

邀请人：王坤

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