3 papers
cs.LG2025
Convergence, design and training of continuous-time dropout as a random batch method
Antonio Álvarez-López, Martín Hernández
We study dropout regularization in continuous-time models through the lens of random-batch methods -- a family of stochastic sampling schemes originally devised to reduce the compu…
math.NA2025
Random domain decomposition for parabolic PDEs on graphs
Martín Hernández
The simulation of complex systems, such as gas transport in large pipeline networks, often involves solving PDEs posed on intricate graph structures. Such problems require consider…
math.NA2025
Random Batch Methods for Discretized PDEs on Graphs
Martín Hernández, Enrique Zuazua
Gas transport and other complex real-world challenges often require solving and controlling partial differential equations (PDEs) defined on graph structures, which typically deman…