Robust Topological Inference in the Presence of Outliers

1 code implementation • 3 Jun 2022 • Siddharth Vishwanath, Bharath K. Sriperumbudur, Kenji Fukumizu, Satoshi Kuriki

The distance function to a compact set plays a crucial role in the paradigm of topological data analysis.

Topological Data Analysis

Robust Persistence Diagrams using Reproducing Kernels

1 code implementation • NeurIPS 2020 • Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki, Bharath Sriperumbudur

Persistent homology has become an important tool for extracting geometric and topological features from data, whose multi-scale features are summarized in a persistence diagram.