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Xiuyan Ni

2 accepted papers

2019

A Topological Regularizer for Classifiers via Persistent Homology

AISTATS 2019poster

Regularization plays a crucial role in supervised learning. Most existing methods enforce a global regularization in a structure agnostic manner. In this paper, we initiate a new direction and propose to enforce the structural simplicity of the classification boundary by regularizing over its topolo…

Cited by 156Source ↗PDF ↗Scholar ↗
2017

Composing Tree Graphical Models with Persistent Homology Features for Clustering Mixed-Type Data

ICML 2017poster

Clustering data with both continuous and discrete attributes is a challenging task. Existing methods lack a principled probabilistic formulation. In this paper, we propose a clustering method based on a tree-structured graphical model to describe the generation process of mixed-type data. Our tree-s…

Cited by 25Source ↗PDF ↗Scholar ↗