5 papers
The Inverse Monoid of Partial Inner Automorphisms of a Semigroup
João Araújo, Wolfram Bentz, Michael Kinyon +2
We introduce the inverse monoid of inner partial automorphisms of a semigroup -- a tool that associates to every semigroup an inverse semigroup. When the semigroup is a group, this…
Toward an Operational GNN-Based Multimesh Surrogate for Fast Flood Forecasting
Valentin Mercier, Serge Gratton, Lapeyre Corentin +1
Operational flood forecasting still relies on high-fidelity two-dimensional hydraulic solvers, but their runtime can be prohibitive for rapid decision support on large urban floodp…
EA-ERT: a new ensemble approach to convert time-lapse ERT data to soil water content
B. Loiseau, S. D. Carrière, N. K. Martin-StPaul +8
Electrical Resistivity Tomography (ERT) is increasingly used to study subsurface hydrological processes. It shows promising potential for estimating soil water content, a key but c…
Two-level deep domain decomposition method
Victorita Dolean, Serge Gratton, Alexander Heinlein +1
This study presents a two-level Deep Domain Decomposition Method (Deep-DDM) augmented with a coarse-level network for solving boundary value problems using physics-informed neural…
Formal conjugacy growth in graph products I
Laura Ciobanu, Susan Hermiller, Valentin Mercier
In this paper we give a recursive formula for the conjugacy growth series of a graph product in terms of the conjugacy growth and standard growth series of subgraph products. We al…