Qi Zhou

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cs.LG2026

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One

Qi Zhou, Xuan Zhou, Xiao-Song Yang

In this paper, we study the universal approximation property of residual neural networks. For input and output dimensions $d_{x}$ and $d_{y}$ , and LeakyReLU, ReLU, ReLU-like activation…

cs.LG2026

Relocation of compact sets in $R^{n}$ by diffeomorphisms and linear separability of datasets in $R^{n}$

Xiao-Song Yang, Xuan Zhou, Qi Zhou

Relocation of compact sets in an $n$ -dimensional manifold by self-diffeomorphism is of its own interest as well as significant potential applications to data classification in data…

cs.LG2025

Minimum Width of Deep Narrow Networks for Universal Approximation

Xiao-Song Yang, Qi Zhou, Xuan Zhou

Determining the minimum width of fully connected neural networks has become a fundamental problem in recent theoretical studies of deep neural networks. In this paper, we study the…

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One

Relocation of compact sets in Rn by diffeomorphisms and linear separability of datasets in Rn

Minimum Width of Deep Narrow Networks for Universal Approximation

Relocation of compact sets in $R^{n}$ by diffeomorphisms and linear separability of datasets in $R^{n}$