2 citations · 2 across the 7 of their papers we have counts for
8 papers
Convergence rates of randomly pivoted methods for low-rank approximation
Ryan Divan, Marc Aurèle Gilles
Randomly pivoted Cholesky, QR, and LU are iterative algorithms that form structured low-rank approximations of a matrix by sampling columns, or rows and columns, from the residual.…
Convergence rates for pivoted QR and LU
Marc Aurèle Gilles
Pivoted QR and pivoted LU decompositions are greedy algorithms used to compute low-rank approximations of matrices from selected columns, or selected rows and columns. Despite thei…
Low-Rank Approximation by Randomly Pivoted LU
Marc Aurèle Gilles, Heather Wilber
The low-rank approximation properties of Randomly Pivoted LU (RPLU), a variant of Gaussian elimination where pivots are sampled proportional to the squared entries of the Schur com…
Moment-based metrics for molecules computable from cryo-EM images
Andy Zhang, Oscar Mickelin, Joe Kileel +4
Single particle cryogenic electron microscopy (cryo-EM) is an imaging technique capable of recovering the high-resolution 3-D structure of biological macromolecules from many noisy…
A Molecular Prior Distribution for Bayesian Inference Based on Wilson Statistics
Marc Aurèle Gilles, Amit Singer
Background and Objective: Wilson statistics describe well the power spectrum of proteins at high frequencies. Therefore, it has found several applications in structural biology, e.…
A subspace pursuit method to infer refractivity in the marine atmospheric boundary layer
Marc Aurèle Gilles, Christopher Earls, David Bindel
Inferring electromagnetic propagation characteristics within the marine atmospheric boundary layer (MABL) from data in real time is crucial for modern maritime navigation and commu…
Evasive path planning under surveillance uncertainty
Marc Aurèle Gilles, Alexander Vladimirsky
The classical setting of optimal control theory assumes full knowledge of the process dynamics and the costs associated with every control strategy. The problem becomes much harder…
Continuous analogues of Krylov methods for differential operators
Marc Aurèle Gilles, Alex Townsend
Analogues of the conjugate gradient method, MINRES, and GMRES are derived for solving boundary value problems (BVPs) involving second-order differential operators. Two challenges a…