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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence Thery of Deep Neural Networks: Arbitrary Activation Functions and Pooling
深度神经网络 激活函数 池化
2023/4/28
Deep neural networks, as a powerful system to represent high dimensional complex functions, play a key role in deep learning. Convergence of deep neural networks is a fundamental issue in building the...
Desingularization of binomial varieties in arbitrary characteristic. Part II. Combinatorial desingularization algorithm
Resolution of Singularities Binomial ideals
2010/11/29
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any binomial ideal.This ...
RELATIONS BETWEEN CLASSES OF DRAGILEV SPACES (f1)s AND (f2)s FOR ARBITRARY FUNCTION f-11\circ f2}
(f1)s (f2)s f-11\circ f2
2010/3/17
Necessary and sufficient condition under wich Dragilev classes (f1)s and (f2)s coincide have been found for an arbitrary function f-11\circ f2.