12 citations · 16 across the 5 of their papers we have counts for
6 papers
Continuity equation on metric spaces via measure-valued derivations and BV-Wasserstein curves
Ehsan Abedi, Zhenhao Li, Timo Schultz
We introduce a notion of continuity equation on metric spaces that is capable of describing curves of probability measures which are absolutely continuous, and more generally of bo…
Non-uniqueness of nonlinear Markov processes in the sense of McKean associated with parabolic PDEs
Ehsan Abedi, Florian Bechtold, Marco Rehmeier
We derive a general scheme to construct infinitely many probabilistic counterparts for solutions to nonlinear PDEs by recasting the latter as different nonlinear Fokker--Planck equ…
Absolutely continuous and BV-curves in 1-Wasserstein spaces
Ehsan Abedi, Zhenhao Li, Timo Schultz
We extend the result of Lisini (Calc Var Partial Differ Equ 28:85-120, 2007) on the superposition principle for absolutely continuous curves in -Wasserstein spaces to the specia…
A Unification of Weighted and Unweighted Particle Filters
Ehsan Abedi, Simone Carlo Surace, Jean-Pascal Pfister
Particle filters (PFs), which are successful methods for approximating the solution of the filtering problem, can be divided into two types: weighted and unweighted PFs. It is well…
Approximate Inference Turns Deep Networks into Gaussian Processes
Mohammad Emtiyaz Khan, Alexander Immer, Ehsan Abedi +1
Deep neural networks (DNN) and Gaussian processes (GP) are two powerful models with several theoretical connections relating them, but the relationship between their training metho…
Gauge Freedom within the Class of Linear Feedback Particle Filters
Ehsan Abedi, Simone Carlo Surace
Feedback particle filters (FPFs) are Monte-Carlo approximations of the solution of the filtering problem in continuous time. The samples or particles evolve according to a feedback…