# Papers

Here's 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]