8 citations · 8 across the 5 of their papers we have counts for
5 papers
Character tables are ideal Perron similarities
David Z. Gershnik, Alexander J. Lewis, Pietro Paparella
An invertible matrix is called a Perron similarity if it diagonalizes an irreducible, nonnegative matrix. Each Perron similarity gives a nontrivial polyhedral cone, called the spec…
The Double Emulator
Conor Crilly, Oliver Johnson, Alexander Lewis +1
Computer models (simulators) are vital tools for investigating physical processes. Despite their utility, the prohibitive run-time of simulators hinders their direct application fo…
Sampling and estimation on manifolds using the Langevin diffusion
Karthik Bharath, Alexander Lewis, Akash Sharma +1
Error bounds are derived for sampling and estimation using a discretization of an intrinsically defined Langevin diffusion with invariant measure $\text{d}μ_ϕ\propto e^{-ϕ} \mathrm…
Stein's Method for Probability Distributions on
Alexander Lewis
In this paper, we propose a modification to the density approach to Stein's method for intervals for the unit circle which is motivated by the differing geometry of…
A diffusion approach to Stein's method on Riemannian manifolds
Huiling Le, Alexander Lewis, Karthik Bharath +1
We detail an approach to develop Stein's method for bounding integral metrics on probability measures defined on a Riemannian manifold . Our approach exploits the relati…