78 citations · 180 across the 18 of their papers we have counts for
9 papers · 1 filter
The volume-of-tube method for Gaussian random fields with inhomogeneous variance
Satoshi Kuriki, Akimichi Takemura, Jonathan E. Taylor
The tube method or the volume-of-tube method approximates the tail probability of the maximum of a smooth Gaussian random field with zero mean and unit variance. This method evalua…
Kinematic Formula for Heterogeneous Gaussian Related Fields
Snigdha Panigrahi, Jonathan Taylor, Sreekar Vadlamani
We provide a generalization of the Gaussian Kinematic Formula (GKF) in Taylor(2006) for multivariate, heterogeneous Gaussian-related fields. The fields under consideration are non-…
The Intrinsic Geometry of Some Random Manifolds
Sunder Ram Krishnan, Jonathan E. Taylor, Robert J. Adler
We study the a.s. convergence of a sequence of random embeddings of a fixed manifold into Euclidean spaces of increasing dimensions. We show that the limit is deterministic. As a c…
Convergence of the Reach for a Sequence of Gaussian-Embedded Manifolds
Robert J. Adler, Sunder Ram Krishnan, Jonathan E. Taylor +1
Motivated by questions of manifold learning, we study a sequence of random manifolds, generated by embedding a fixed, compact manifold into Euclidean spheres of increasing dime…
Rotation and scale space random fields and the Gaussian kinematic formula
Robert J. Adler, Eliran Subag, Jonathan E. Taylor
We provide a new approach, along with extensions, to results in two important papers of Worsley, Siegmund and coworkers closely tied to the statistical analysis of fMRI (functional…
Random fields and the geometry of Wiener space
Jonathan E. Taylor, Sreekar Vadlamani
In this work we consider infinite dimensional extensions of some finite dimensional Gaussian geometric functionals called the Gaussian Minkowski functionals. These functionals appe…