37 citations · 151 across the 27 of their papers we have counts for
3 papers · 1 filter
Gaussian Measures Conditioned on Nonlinear Observations: Consistency, MAP Estimators, and Simulation
Yifan Chen, Bamdad Hosseini, Houman Owhadi +1
The article presents a systematic study of the problem of conditioning a Gaussian random variable on nonlinear observations of the form where $ϕ: \mathcal{X} \to…
Data-Driven Approximation of Stationary Nonlinear Filters with Optimal Transport Maps
Mohammad Al-Jarrah, Bamdad Hosseini, Amirhossein Taghvaei
The nonlinear filtering problem is concerned with finding the conditional probability distribution (posterior) of the state of a stochastic dynamical system, given a history of par…
Diffeomorphic Measure Matching with Kernels for Generative Modeling
Biraj Pandey, Bamdad Hosseini, Pau Batlle +1
This article presents a general framework for the transport of probability measures towards minimum divergence generative modeling and sampling using ordinary differential equation…