48 citations · 74 across the 12 of their papers we have counts for
6 papers · 1 filter
Hierarchical Low-Rank Approximation of Regularized Wasserstein Distance
Mohammad Motamed
Sinkhorn divergence is a measure of dissimilarity between two probability measures. It is obtained through adding an entropic regularization term to Kantorovich's optimal transport…
A multi-fidelity neural network surrogate sampling method for uncertainty quantification
Mohammad Motamed
We propose a multi-fidelity neural network surrogate sampling method for the uncertainty quantification of physical/biological systems described by ordinary or partial differential…
Wasserstein metric-driven Bayesian inversion with applications to signal processing
Mohammad Motamed, Daniel Appelo
We present a Bayesian framework based on a new exponential likelihood function driven by the quadratic Wasserstien metric. Compared to conventional Bayesian models based on Gaussia…
A Fuzzy-Stochastic Multiscale Model for Fiber Composites: A one-dimensional study
Ivo Babuska, Mohammad Motamed
We study mathematical and computational models for computing the deformation of fiber-reinforced cross-plied laminates due to external forces. This requires an understanding of bot…
A Sparse Stochastic Collocation Technique for High-Frequency Wave Propagation with Uncertainty
Gabriela Malenova, Mohammad Motamed, Olof Runborg +1
We consider the wave equation with highly oscillatory initial data, where there is uncertainty in the wave speed, initial phase and/or initial amplitude. To estimate quantities of…
Taylor Expansion and Discretization Errors in Gaussian Beam Superposition
Mohammad Motamed, Olof Runborg
The Gaussian beam superposition method is an asymptotic method for computing high frequency wave fields in smoothly varying inhomogeneous media. In this paper we study the accuracy…