A multilevel approach to variance reduction in the stochastic estimation of the trace of a matrix
The trace of a matrix function f(A), most notably of the matrix inverse, can be estimated
stochastically using samples x^*f(A)x if the components of the random vectors x obey an …
stochastically using samples x^*f(A)x if the components of the random vectors x obey an …
Optimizing shift selection in multilevel Monte Carlo for disconnected diagrams in lattice QCD
T Whyte, A Stathopoulos, E Romero… - Computer Physics …, 2024 - Elsevier
The calculation of disconnected diagram contributions to physical signals is a
computationally expensive task in Lattice QCD. To extract the physical signal, the trace of …
computationally expensive task in Lattice QCD. To extract the physical signal, the trace of …
Towards charged hadron polarizabilities from four-point functions in lattice QCD
We show how to compute electromagnetic polarizabilities of charged hadrons using four-
point functions in lattice QCD. The low-energy behavior of Compton scattering amplitude is …
point functions in lattice QCD. The low-energy behavior of Compton scattering amplitude is …
High-degree Polynomial Noise Subtraction
P Lashomb, RB Morgan, T Whyte, W Wilcox - arXiv preprint arXiv …, 2023 - arxiv.org
In lattice QCD, the calculation of physical quantities from disconnected quark loop
calculations have large variance due to the use of Monte Carlo methods for the estimation of …
calculations have large variance due to the use of Monte Carlo methods for the estimation of …
Multipolynomial Monte Carlo for trace estimation in lattice QCD
P Lashomb, RB Morgan, T Whyte, W Wilcox - Computer Physics …, 2024 - Elsevier
Estimating the trace of the inverse of a large matrix is an important problem in lattice
quantum chromodynamics. A multilevel Monte Carlo method is proposed for this problem …
quantum chromodynamics. A multilevel Monte Carlo method is proposed for this problem …
Multipolynomial Monte Carlo for Trace Estimation in Lattice Qcd
R Morgan, P Lashomb, T Whyte… - Available at SSRN …, 2023 - papers.ssrn.com
Estimating the trace of the inverse of a large matrix is an important problem in lattice
quantum chromodynamics. A multilevel Monte Carlo method is proposed for this problem …
quantum chromodynamics. A multilevel Monte Carlo method is proposed for this problem …
High-degree polynomial noise subtraction for disconnected loops
P Lashomb, RB Morgan, T Whyte, W Wilcox - Computer Physics …, 2024 - Elsevier
In lattice QCD, the calculation of physical quantities from disconnected quark loop
calculations have large variance due to the use of Monte Carlo methods for the estimation of …
calculations have large variance due to the use of Monte Carlo methods for the estimation of …
Multipolynomial Monte Carlo Trace Estimation
P Lashomb, RB Morgan, T Whyte, W Wilcox - arXiv preprint arXiv …, 2023 - arxiv.org
In lattice QCD the calculation of disconnected quark loops from the trace of the inverse quark
matrix has large noise variance. A multilevel Monte Carlo method is proposed for this …
matrix has large noise variance. A multilevel Monte Carlo method is proposed for this …
High-Degree Polynomial Noise Subtraction and Multipolynomial Monte Carlo Trace Estimation in Lattice QCD
PR Lashomb - 2023 - search.proquest.com
Abstract In lattice Quantum Chromodynamics, the determination of physical quantities
containing disconnected loop effects is very computationally expensive. For this reason, the …
containing disconnected loop effects is very computationally expensive. For this reason, the …
Disconnected loop subtraction methods in lattice qcd
T Whyte, S Baral, P Lashomb, W Wilcox… - arXiv preprint arXiv …, 2019 - arxiv.org
Noise subtraction methods are a set of techniques that aim to reduce the variance of signals
in LQCD which are often flooded with noise. The standard approach is a pertubative …
in LQCD which are often flooded with noise. The standard approach is a pertubative …