Barron Spaces and the Application to Neural Network Approximation
报告专家：明平兵（中国科学院数学与系统科学研究院）
报告时间：2024年1月18日上午10:00-11:00
报告地点：西南中心516
报告摘要：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 partly 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. This is a joint work with Yulei Liao (AMSS, CAS) and Yan Meng (RUC).
专家简介：明平兵，中国科学院数学与系统科学研究院冯康首席研究员，科学与工程计算国家重点实验室副主任，主要从事固体多尺度建模、多尺度算法以及机器学习的研究。他于2014年获得国家杰出青年基金、2019年入选第四批国家“高端人才计划”中青年科技创新领军人才计划、2023年荣获第十五届“冯康科学计算奖”。
邀请人：张旭
