460 citations · 1.9k across the 48 of their papers we have counts for
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Orbit Uncertainty Propagation and Sensitivity Analysis With Separated Representations
Marc Balducci, Brandon Jones, Alireza Doostan
Most approximations for stochastic differential equations with high-dimensional, non-Gaussian inputs suffer from a rapid (e.g., exponential) increase of computational cost, an issu…
A Low-rank Control Variate for Multilevel Monte Carlo Simulation of High-dimensional Uncertain Systems
Hillary Fairbanks, Alireza Doostan, Christian Ketelsen +1
Multilevel Monte Carlo (MLMC) is a recently proposed variation of Monte Carlo (MC) simulation that achieves variance reduction by simulating the governing equations on a series of…
Time-dependent global sensitivity analysis with active subspaces for a lithium ion battery model
Paul G. Constantine, Alireza Doostan
Renewable energy researchers use computer simulation to aid the design of lithium ion storage devices. The underlying models contain several physical input parameters that affect m…
Contributions of microtubule dynamic instability and rotational diffusion to kinetochore capture
Robert Blackwell, Oliver Sweezy-Schindler, Christopher Edelmaier +8
Microtubule dynamic instability allows search and capture of kinetochores during spindle formation, an important process for accurate chromosome segregation during cell division. R…
Optimization via Separated Representations and the Canonical Tensor Decomposition
Matthew J Reynolds, Gregory Beylkin, Alireza Doostan
We introduce a new, quadratically convergent algorithm for finding maximum absolute value entries of tensors represented in the canonical format. The computational complexity of th…