162 citations · 275 across the 13 of their papers we have counts for
14 papers
Stability of particle trajectories of scalar conservation laws and applications in Bayesian inverse problems
Masoumeh Dashti, Duc-Lam Duong
We consider the scalar conservation law in one space dimension with a genuinely nonlinear flux. We assume that an appropriate velocity function depending on the entropy solution of…
Probabilistic predictions of SIS epidemics on networks based on population-level observations
Tanja Zerenner, Francesco Di Lauro, Masoumeh Dashti +2
We predict the future course of ongoing susceptible-infected-susceptible (SIS) epidemics on regular, Erdős-Rényi and Barabási-Albert networks. It is known that the contact network…
Nonparametric Bayesian inference of discretely observed diffusions
Jean-Charles Croix, Masoumeh Dashti, Istvàn Zoltàn Kiss
We consider the problem of the Bayesian inference of drift and diffusion coefficient functions in a stochastic differential equation given discrete observations of a realisation of…
Network Inference from Population-Level Observation of Epidemics
F. Di Lauro, J. -C. Croix, M. Dashti +2
Using the continuous-time susceptible-infected-susceptible (SIS) model on networks, we investigate the problem of inferring the class of the underlying network when epidemic data i…
Rates of contraction of posterior distributions based on -exponential priors
Sergios Agapiou, Masoumeh Dashti, Tapio Helin
We consider a family of infinite dimensional product measures with tails between Gaussian and exponential, which we call -exponential measures. We study their measure-theoretic…
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
Sergios Agapiou, Martin Burger, Masoumeh Dashti +1
We consider the inverse problem of recovering an unknown functional parameter in a separable Banach space, from a noisy observation of its image through a known possibly no…