35 citations · 140 across the 36 of their papers we have counts for
17 papers · 1 filter
Expected number density of critical points of smooth Gaussian random fields in arbitrary dimensions
Satoshi Kuriki, Takahiko Matsubara, Satoshi Iso
We obtain explicit formulas for the expected number and height distribution of critical points of smooth isotropic Gaussian random fields on . The expected number den…
Integrated empirical measures and generalizations of classical goodness-of-fit statistics
Hsien-Kuei Hwang, Satoshi Kuriki
Based on -fold integrated empirical measures, we study three new classes of goodness-of-fits tests, generalizing Anderson-Darling, Cramér-von Mises, and Watson statistics, respe…
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…
Asymptotic expansion of the expected Minkowski functional for isotropic central limit random fields
Satoshi Kuriki, Takahiko Matsubara
The Minkowski functionals, including the Euler characteristic statistics, are standard tools for morphological analysis in cosmology. Motivated by cosmic research, we examine the M…
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…
Existence and Uniqueness of the Kronecker Covariance MLE
Mathias Drton, Satoshi Kuriki, Peter Hoff
In matrix-valued datasets the sampled matrices often exhibit correlations among both their rows and their columns. A useful and parsimonious model of such dependence is the matrix…