35 citations · 140 across the 36 of their papers we have counts for
6 papers · 1 filter
Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: second-order effects
Takahiko Matsubara, Chiaki Hikage, Satoshi Kuriki
The second-order formula of Minkowski functionals in weakly non-Gaussian fields is compared with the numerical -body simulations. Recently, weakly non-Gaussian formula of Minkow…
Weakly non-Gaussian formula for the Minkowski functionals in general dimensions
Takahiko Matsubara, Satoshi Kuriki
The Minkowski functionals are useful statistics to quantify the morphology of various random fields. They have been applied to numerous analyses of geometrical patterns, including…
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…
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,…