1 citations · 1 across the 5 of their papers we have counts for
5 papers
PINN Balls: Scaling Second-Order Methods for PINNs with Domain Decomposition and Adaptive Sampling
Andrea Bonfanti, Ismael Medina, Roman List +3
Recent advances in Scientific Machine Learning have shown that second-order methods can enhance the training of Physics-Informed Neural Networks (PINNs), making them a suitable alt…
Continuum of coupled Wasserstein gradient flows
Clément Cancès, Daniel Matthes, Ismael Medina +1
We study a system of drift-diffusion PDEs for a potentially infinite number of incompressible phases, subject to a joint pointwise volume constraint. Our analysis is based on the i…
Domain decomposition for entropic unbalanced optimal transport
Ismael Medina, The Sang Nguyen, Bernhard Schmitzer
Solving large scale entropic optimal transport problems with the Sinkhorn algorithm remains challenging, and domain decomposition has been shown to be an efficient strategy for pro…
Flow updates for domain decomposition of entropic optimal transport
Ismael Medina, Bernhard Schmitzer
Domain decomposition has been shown to be a computationally efficient distributed method for solving large scale entropic optimal transport problems. However, a naive implementatio…
Asymptotic analysis of domain decomposition for optimal transport
Mauro Bonafini, Ismael Medina, Bernhard Schmitzer
Large optimal transport problems can be approached via domain decomposition, i.e. by iteratively solving small partial problems independently and in parallel. Convergence to the gl…