1 citations · 2 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
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…
Extending DD-AMG on heterogeneous machines
Gustavo Ramirez-Hidalgo, Lianhua He, Ke-Long Zhang
Multigrid solvers are the standard in modern scientific computing simulations. Domain Decomposition Aggregation-Based Algebraic Multigrid, also known as the DD-AMG solver, is a…
Deflated Multigrid Multilevel Monte Carlo
Andreas Frommer, Gustavo Ramirez-Hidalgo
In lattice QCD, the trace of the inverse of the discretized Dirac operator appears in the disconnected fermion loop contribution to an observable. As simulation methods get more an…