New class of variance-reduction techniques using lattice symmetries
By T. Blum, T. Izubuchi, E. Shintani. 2012
180 citations recorded by the source corpus.
We present a general class of unbiased improved estimators for physical observables in lattice gauge theory computations which significantly reduces statistical errors at modest computational cost. The error reduction techniques, referred to as covariant approximation averaging, utilize approximations which are covariant under lattice symmetry transformations. We observed cost reductions from the new method compared to the traditional one, for fixed statistical error, of 16 times for the nucleon mass at $M_\pi\sim 330$ MeV (Domain-Wall quark) and 2.6-20 times for the hadronic vacuum polarization at $M_\pi\sim 480$ MeV (Asqtad quark). These cost reductions should improve with decreasing quark mass and increasing lattice sizes.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/14cfe9912c54f2066134f36be662ffb428fe4aae
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
- M. Constantinou
- Zoltán Fodor
- Kálmán K. Szabó
- Christian Hoelbling
- Krzysztof Cichy
- S. Borsányi
- Sándor D. Katz
Citations in the corpus
- FLAG Review 2019 (2019, methodology): “Two other common variance reduction techniques that reduce the cost of multiple measurements on each configuration are: the truncated solver with bias correction method [846] and deflation of the Dirac matrix for the low lying modes followed by sloppy solution with bias correction for the residual m”
- Leading hadronic contribution to the muon magnetic moment from lattice QCD (2020, methodology): “This is called the Truncated Solver Method [37] or All Mode Averaging [38].”
- A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results (2018, methodology): “Below, we shortly describe one of such methods, the Covariant Approximation Averaging (CAA) [157].”