118 citations · 697 across the 32 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.NA2015★ 3 cited
Data-based stochastic model reduction for the Kuramoto--Sivashinsky equation
Fei Lu, Kevin Lin, Alexandre J. Chorin
The problem of constructing data-based, predictive, reduced models for the Kuramoto-Sivashinsky equation is considered, under circumstances where one has observation data only for…
stat.CO2015★ 1 cited
Sampling, feasibility, and priors in Bayesian estimation
Alexandre J. Chorin, Fei Lu, Robert N. Miller +2
Importance sampling algorithms are discussed in detail, with an emphasis on implicit sampling, and applied to data assimilation via particle filters. Implicit sampling makes it pos…
math.NA2015★ 96 cited
A discrete approach to stochastic parametrization and dimensional reduction in nonlinear dynamics
Alexandre J. Chorin, Fei Lu
Many physical systems are described by nonlinear differential equations that are too complicated to solve in full. A natural way to proceed is to divide the variables into those th…