This semester I am teaching MATH 340. Course details can be found on Canvas.
My research is centered on the use of Monte Carlo methods for optimization, numerical integration, and the sampling of probability distributions. Monte Carlo approaches are among the most promising for complex problems that arise in physics, biology, machine learning, and elsewhere.
I am especially interested
in the role of rare events in such systems.
Some of my research is on genetic algorithms for sampling rare events.
These are Monte Carlo methods based on "survival of the fittest."
I am also interested in uncertainty quantification and Bayesian inference. Some
of my recent publications are listed below. See also
my Github page.
D. Aristoff, J.Copperman, G. Simpson, R.J. Webber, and D.M. Zuckerman.
Weighted ensemble: recent mathematical developments
R.J. Webber, D. Aristoff, and G. Simpson.
A splitting method to reduce MCMC variance
An ergodic theorem for the weighted ensemble method
(2022) J. Appl. Probab. 59(1), 152--166
J.D. Russo, D. Aristoff, J. Copperman, G. Simpson, and D.M. Zuckerman.
Unbiased estimation of equilibrium, rates, and committors from MSM
D. Aristoff and W. Bangerth.
A benchmark for the Bayesian inversion of coefficients in partial differential equations
My research above has been supported by NSF-DMS 2111277
, NSF-DMS 1818726
, and NIH 2R01GM115805-05
has been supported by