22 citations · 61 across the 6 of their papers we have counts for
6 papers
Error bounds for consistent reconstruction: random polytopes and coverage processes
Alexander M. Powell, J. Tyler Whitehouse
Consistent reconstruction is a method for producing an estimate of a signal if one is given a collection of noisy linear me…
Quasi-uniformity of Minimal Weighted Energy Points on Compact Metric Spaces
D. P. Hardin, E. B. Saff, J. T. Whitehouse
For a closed subset of a compact metric space possessing an -regular measure with , we prove that whenever , any sequence of weighted minimal Riesz -…
Least squares approximations of measures via geometric condition numbers
Gilad Lerman, J. Tyler Whitehouse
For a probability measure on a real separable Hilbert space, we are interested in "volume-based" approximations of the d-dimensional least squares error of it, i.e., least squares…
High-Dimensional Menger-Type Curvatures-Part II: d-Separation and a Menagerie of Curvatures
Gilad Lerman, J. Tyler Whitehouse
This is the second of two papers wherein we estimate multiscale least squares approximations of certain measures by Menger-type curvatures. More specifically, we study an arbitrary…
On d-dimensional d-Semimetrics and Simplex-Type Inequalities for High-Dimensional Sine Functions
Gilad Lerman, Jonathan Tyler Whitehouse
We show that high-dimensional analogues of the sine function (more precisely, the d-dimensional polar sine and the d-th root of the d-dimensional hypersine) satisfy a simplex-type…
High-Dimensional Menger-Type Curvatures - Part I: Geometric Multipoles and Multiscale Inequalities
G. Lerman, J. T. Whitehouse
We define a discrete Menger-type curvature of d+2 points in a real separable Hilbert space H by an appropriate scaling of the squared volume of the corresponding (d+1)-simplex. We…