10 citations · 38 across the 13 of their papers we have counts for
4 papers · 1 filter
Persistent Homotopy Groups of Metric Spaces
Facundo Mémoli, Ling Zhou
We study notions of persistent homotopy groups of compact metric spaces together with their stability properties in the Gromov-Hausdorff sense. We pay particular attention to the c…
Gauge theory and twins paradox of disentangled representations
X. Dong, L. Zhou
Achieving disentangled representations of information is one of the key goals of deep network based machine learning system. Recently there are more discussions on this issue. In t…
Understanding over-parameterized deep networks by geometrization
Xiao Dong, Ling Zhou
A complete understanding of the widely used over-parameterized deep networks is a key step for AI. In this work we try to give a geometric picture of over-parameterized deep networ…
Geometrization of deep networks for the interpretability of deep learning systems
Xiao Dong, Ling Zhou
How to understand deep learning systems remains an open problem. In this paper we propose that the answer may lie in the geometrization of deep networks. Geometrization is a bridge…