14 citations · 19 across the 4 of their papers we have counts for
5 papers
Adaptive algorithm for electronic structure calculations using reduction of Gaussian mixtures
Gregory Beylkin, Lucas Monzon, Xinshuo Yang
We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals…
Reduction of multivariate mixtures and its applications
Gregory Beylkin, Lucas Monzon, Xinshuo Yang
We consider fast deterministic algorithms to identify the "best" linearly independent terms in multivariate mixtures and use them to compute, up to a user-selected accuracy, an equ…
On computing distributions of products of non-negative independent random variables
Gregory Beylkin, Lucas Monzon, Ignas Satkauskas
We introduce a new functional representation of probability density functions (PDFs) of non-negative random variables via a product of a monomial factor and linear combinations of…
On computing distributions of products of random variables via Gaussian multiresolution analysis
Gregory Beylkin, Lucas Monzon, Ignas Satkauskas
We introduce a new approximate multiresolution analysis (MRA) using a single Gaussian as the scaling function, which we call Gaussian MRA (GMRA). As an initial application, we empl…
Linear Phase Perfect Reconstruction Filters and Wavelets with Even Symmetry
Lucas Monzon
Perfect reconstruction filter banks can be used to generate a variety of wavelet bases. Using IIR linear phase filters one can obtain symmetry properties for the wavelet and scalin…