题目：Barron Type Spaces in Neural Networks

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：2023年3月17日（星期五） 16：00-17：00

地点：致远楼101室

摘要：We shall discuss various Barron type spaces arising from neural networks. The relations among these spaces will be clarified, and we shall also establish the relationship between Barron type spaces and classical function spaces such as Besov spaces, Sobolev spaces and Bessel potential spaces. As an application, we shall prove certain new approximation rate for the two-layer neural networks. This is a joint work with Yulei Liao (AMSS, CAS) and Yan Meng (RUC).

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