1 citations · 1 across the 3 of their papers we have counts for
3 papers
Adversarially Robust Topological Inference
Siddharth Vishwanath, Bharath K. Sriperumbudur, Kenji Fukumizu +1
The distance function to a compact set plays a crucial role in the paradigm of topological data analysis. In particular, the sublevel sets of the distance function are used in the…
Robust Persistence Diagrams using Reproducing Kernels
Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki +1
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. Fr…
On the Limits of Topological Data Analysis for Statistical Inference
Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki +1
Topological data analysis has emerged as a powerful tool for extracting the metric, geometric and topological features underlying the data as a multi-resolution summary statistic,…