这篇开创性研究通过将深度神经网络（DNN）视为输入变量与参数变量的二元函数，首次构建了基于再生核Banach空间（RKBS）的深度学习假设空间。作者证明了该空间的弱*闭包性质，并构造了显式再生核，为DNN学习模型（包括正则化学习和最小范数插值问题）建立 ...

Banach had poor eyesight, and was therefore deemed unfit to serve in the military during World War One - a period he instead spent teaching in local schools. As a result of the publication of ...

Banach spaces, as complete normed vector spaces, have long served as a fundamental framework for analysing linear operators. Operator theory within these spaces investigates the properties and ...

Banach spaces, being complete normed vector spaces, offer a versatile framework for analysing continuous linear operators and serve as a cornerstone of modern functional analysis. Their intrinsic ...

Friday’s Google Doodle was dedicated to the “invaluable contribution” of influential 20th century mathematician Stefan Banach to the study. Banach was an original member of the Lwów School of ...

Today’s Google Doodle is celebrating a Polish mathematician Stefan Banach to mark the day influential academic became a professor. Banach was one of the 20th century’s most influential mathmeticians, ...

From reproductive rights to climate change to Big Tech, The Independent is on the ground when the story is developing. Whether it's investigating the financials of Elon Musk's pro-Trump PAC or ...