BriefGPT.xyz
Oct, 2019
深度前馈网络的路径同调
Path homologies of deep feedforward networks
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Samir Chowdhury, Thomas Gebhart, Steve Huntsman, Matvey Yutin
TL;DR
提供了一个针对全连接前馈神经网络结构的两种类型的有向同调结构的描述，发现了深度网络的有向同调结构可以归约为计算底层无向图的单纯同调，路径同调在高维中不是平凡的，并且取决于网络内层的数量和大小等因素，这些结果为研究神经网络体系结构和参数之间的同调差异奠定了基础。
Abstract
We provide a characterization of two types of
directed homology
for fully-connected, feedforward
neural network architectures
. These exact characterizations of the
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