Topological Regularization for Representation Learning via Persistent Homology

Generalization is challenging in small-sample-size regimes with over-parameterized deep neural networks, and a better representation is generally beneficial for generalization. In this paper, we present a novel method for controlling the internal representation of deep neural networks from a topolog...

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Bibliographic Details
Main Authors: Muyi Chen, Daling Wang, Shi Feng, Yifei Zhang
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/4/1008