Papers
Here is a list of my preprints and publications, organized by subject area:
Randomly sparsified Richardson iteration is really fast
Jonathan Weare, Robert J. Webber
[arXiv, 2023] [PDF]
Randomized algorithms for low-rank matrix approximation: Design, analysis, and applications
Joel A. Tropp, Robert J. Webber
[arXiv, 2023] [PDF]
Robust, randomized preconditioning for kernel ridge regression
Mateo Díaz, Ethan N. Epperly, Zachary Frangella, Joel A. Tropp, Robert J. Webber
[arXiv, 2023] [PDF] [Code]
Localized covariance estimation: A Bayesian perspective
Robert J. Webber, Matthias Morzfeld
[arXiv, 2023] [PDF]
Randomly pivoted Cholesky: Practical approximation of a kernel matrix with few entry evaluations
Yifan Chen, Ethan N. Epperly, Joel A. Tropp, Robert J. Webber
[arXiv, 2023] [PDF] [Code]
XTrace: Making the most of every sample in stochastic trace estimation
Ethan N. Epperly, Joel A. Tropp, Robert J. Webber
[SIAM Journal on Matrix Analysis and Applications, 2024] [PDF] [Code]
Approximating matrix eigenvalues by subspace iteration with repeated random sparsification
Samuel M. Greene, Robert J. Webber, Timothy C. Berkelbach, Jonathan Weare
[SIAM Journal on Scientific Computing, 2022] [PDF] [Code]
Rayleigh-Gauss-Newton optimization with enhanced sampling for variational Monte Carlo
Robert J. Webber, Michael Lindsey
[Physical Review Research, 2022] [PDF] [Code]
Error bounds for dynamical spectral estimation
Robert J. Webber, Erik H. Thiede, Douglas Dow, Aaron R. Dinner, Jonathan Weare
[SIAM Journal on Mathematics of Data Science, 2021] [PDF]
Ensemble sampler for infinite-dimensional inverse problems
Jeremie Coullon, Robert J. Webber
[Statistics and Computing, 2021] [PDF] [Code]
Practical rare event sampling for extreme mesoscale weather
Robert J. Webber, David A. Plotkin, Morgan E O'Neill, Dorian S. Abbot, Jonathan Weare
[Chaos, 2019] [PDF]
Mercury's chaotic secular evolution as a subdiffusive process
Dorian S. Abbot, Robert J. Webber, David M. Hernandez, Sam Hadden, Jonathan Weare
[arXiv, 2023] [PDF]
AI can identify Solar System instability billions of years in advance
Dorian S. Abbot, J. D. Laurence-Chasen, Robert J. Webber, David M. Hernandez, Jonathan Weare
[Research Notes of the AAS, 2024] [PDF]
Simple physics and integrators accurately reproduce Mercury instability statistics
Dorian S. Abbot, David M. Hernandez, Sam Hadden, Robert J. Webber, Georgios P. Afentakis, Jonathan Weare
[Astrophysical Journal, 2023] [PDF] [Data]
Exploring stratospheric rare events with transition path theory and short simulations
Justin Finkel, Robert J. Webber, Dorian S. Abbot, Edwin P. Gerber, Jonathan Weare
[Journal of the Atmospheric Sciences, 2023] [PDF] [Code]
Rare event sampling improves Mercury instability statistics
Dorian S. Abbot, Robert J. Webber, Sam Hadden, Jonathan Weare
[Astrophysical Journal, 2021] [PDF] [Code]
Learning forecasts of rare stratospheric transitions from short simulations
Justin Finkel, Robert J. Webber, Dorian S. Abbot, Edwin P. Gerber, Jonathan Weare
[Monthly Weather Review, 2021] [PDF]
A statistical comparative planetology approach to maximize the scientific return of future exoplanet characterization efforts
Jade H. Checlair, Dorian S. Abbot, Robert J. Webber, Y. Katherina Feng, Jacob L. Bean, et. al.
[Bulletin of the AAS, 2019] [PDF]
Maximizing simulated tropical cyclone intensity with action minimization
David A. Plotkin, Robert J. Webber, Morgan E O'Neill, Jonathan Weare, Dorian S. Abbot
[Journal of Advances in Modeling Earth Systems, 2019] [PDF]
Understanding and eliminating spurious modes in variational Monte Carlo using collective variables
Huan Zhang, Robert J. Webber, Michael Lindsey, Timothy C. Berkelbach, Jonathan Weare
[Physical Review Research, 2023] [PDF]
Weighted ensemble: Recent mathematical developments
David Aristoff, Jeremy Copperman, Gideon Simpson, Robert J. Webber, Daniel M. Zuckerman
[Journal of Chemical Physics, 2023] [PDF]
Full configuration interaction excited-state energies in large active spaces from randomized subspace iteration
Samuel M. Greene, Robert J. Webber, James E. T. Smith, Jonathan Weare, Timothy C. Berkelbach
[Journal of Chemical Theory and Computation, 2022] [PDF]
Integrated VAC: A robust strategy for identifying eigenfunctions of dynamical operators
Chatipat Lorpaiboon, Erik H. Thiede, Robert J. Webber, Jonathan Weare, Aaron R. Dinner
[Journal of Physical Chemistry B, 2020] [PDF] [Code]
Improved fast randomized iteration approach to full configuration interaction
Samuel M. Greene, Robert J. Webber, Jonathan Weare, Timothy C. Berkelbach
[Journal of Chemical Theory and Computation, 2020] [PDF] [Code]
Beyond walkers in stochastic quantum chemistry: Reducing error using fast randomized iteration
Samuel M. Greene, Robert J. Webber, Jonathan Weare, Timothy C. Berkelbach
[Journal of Chemical Theory and Computation, 2019] [PDF] [Code]