257 citations · 1.1k across the 33 of their papers we have counts for
3 papers · 1 filter
A low-rank tensor method for PDE-constrained optimization with isogeometric analysis
Alexandra Bünger, Sergey Dolgov, Martin Stoll
Isogeometric analysis (IGA) has become one of the most popular methods for the discretization of partial differential equations motivated by the use of NURBS for geometric represen…
Approximation and sampling of multivariate probability distributions in the tensor train decomposition
Sergey Dolgov, Karim Anaya-Izquierdo, Colin Fox +1
General multivariate distributions are notoriously expensive to sample from, particularly the high-dimensional posterior distributions in PDE-constrained inverse problems. This pap…
Greedy low-rank algorithm for spatial connectome regression
Patrick Kürschner, Sergey Dolgov, Kameron Decker Harris +1
Recovering brain connectivity from tract tracing data is an important computational problem in the neurosciences. Mesoscopic connectome reconstruction was previously formulated as…