7 papers
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…
Rigorous Formulation of Finite-Sample and Finite-Window Effects in Galaxy Clustering
Tsutomu T. Takeuchi, Satoshi Kuriki, Keisuke Yano
Galaxy surveys provide finite catalogs of objects observed within bounded volumes, yet clustering statistics are often interpreted using theoretical frameworks developed for infini…
Tube formula for spherically contoured random fields with subexponential marginals
Satoshi Kuriki, Evgeny Spodarev
It is widely known that the tube method, or equivalently the Euler characteristic heuristic, provides a very accurate approximation for the tail probability that the supremum of a…
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…
Constructing Simultaneous Confidence Bands for Errors-in-variables Curves with Application to the Lorenz Curve
Ziqing Dong, Francesco Bartolucci, Satoshi Kuriki +1
Errors-in-variables curves are curves where errors exist not only in the independent variable but also in the dependent variable. We address the challenge of constructing simultane…
Random eigenvalues of graphenes and the triangulation of plane
Artur Bille, Victor Buchstaber, Simon Coste +2
We analyse the numbers of closed paths of length on two important regular lattices: the hexagonal lattice (also called in chemistry) and its du…