4 papers
Variance reduction with probing and Multilevel Monte Carlo in Lattice QCD
Andreas Frommer, Jose Jimenez-Merchan, Bruno Lang +2
Trace estimation is central in many lattice QCD computations, but the accuracy of the standard, stochastic Hutchinson method improves only with the square root of the sample size,…
Probing and graph coloring techniques for trace estimation in Lattice QCD
Mario Papace, Andreas Frommer, Jose Jimenez-Merchan +3
The computation of , where is the Wilson-Dirac matrix of Lattice QCD, is a fundamental and computationally demanding task with applications to disconnected…
Performance-Portable Optimization and Analysis of Multiple Right-Hand Sides in a Lattice QCD Solver
Shiting Long, Gustavo Ramirez-Hidalgo, Stepan Nassyr +3
Managing the high computational cost of iterative solvers for sparse linear systems is a known challenge in scientific computing. Moreover, scientific applications often face memor…
Using orthogonal projectors in multigrid multilevel Monte Carlo for trace estimation in lattice QCD
Andreas Frommer, Jose Jimenez-Merchan, Francesco Knechtli +2
We introduce a multigrid multilevel Monte Carlo method for stochastic trace estimation in lattice QCD based on orthogonal projections. This formulation extends the previously propo…