602 citations · 2.4k across the 88 of their papers we have counts for
5 papers · 1 filter
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…
Kernel Mean Embedding of Probability Measures and its Applications to Functional Data Analysis
Saeed Hayati, Kenji Fukumizu, Afshin Parvardeh
This study intends to introduce kernel mean embedding of probability measures over infinite-dimensional separable Hilbert spaces induced by functional response statistical models.…
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…
Density Estimation in Infinite Dimensional Exponential Families
Bharath Sriperumbudur, Kenji Fukumizu, Arthur Gretton +2
In this paper, we consider an infinite dimensional exponential family, of probability densities, which are parametrized by functions in a reproducing kernel Hilbert s…
Kernel dimension reduction in regression
Kenji Fukumizu, Francis R. Bach, Michael I. Jordan
We present a new methodology for sufficient dimension reduction (SDR). Our methodology derives directly from the formulation of SDR in terms of the conditional independence of the…