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hep-lat2026
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,…
hep-lat2026
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…
hep-lat2025
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…