DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Machine learning estimators for lattice QCD observables

Journal Article · · Physical Review D

A novel technique using machine learning (ML) to reduce the computational cost of evaluating lattice QCD observables is presented. The ML is trained on a subset of background gauge field configurations, called the labeled set, to predict an observable O from the values of correlated, but less compute-intensive, observables X calculated on the full sample. By using a second subset, also part of the labeled set, we estimate the bias in the result predicted by the trained ML algorithm. A reduction in the computational cost by about 7%–38% is demonstrated for two different lattice QCD calculations using the Boosted decision tree regression ML algorithm: (1) prediction of the nucleon three-point correlation functions that yield isovector charges from the two-point correlation functions and (2) prediction of the phase acquired by the neutron mass when a small CP violating interaction, the quark chromoelectric dipole moment interaction, is added to QCD, again from the two-point correlation functions calculated without CP violation.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001; AC02-05CH11231; AC05-00OR22725
OSTI ID:
1532580
Alternate ID(s):
OSTI ID: 1558963
Report Number(s):
LA-UR-18-26411; PRVDAQ; TRN: US2000263
Journal Information:
Physical Review D, Vol. 100, Issue 1; Conference: The 36th Annual International Symposium on Lattice Field Theory, 2018-07-22; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (48)

Low-energy precision tests of supersymmetry journal January 2008
Effective noise reduction techniques for disconnected loops in Lattice QCD journal September 2010
Monte Carlo study of quantized SU(2) gauge theory journal April 1980
Linear Inversion of Band-Limited Reflection Seismograms journal October 1986
Lattice QCD ensembles with four flavors of highly improved staggered quarks journal March 2013
Bootstrap Methods: Another Look at the Jackknife journal January 1979
Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD journal May 2014
New class of variance-reduction techniques using lattice symmetries journal November 2013
Axial, scalar, and tensor charges of the nucleon from 2 + 1 + 1 -flavor Lattice QCD journal September 2016
Confinement of quarks journal October 1974
Machine learning of explicit order parameters: From the Ising model to SU(2) lattice gauge theory journal November 2017
Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator journal November 2010
Machine learning action parameters in lattice quantum chromodynamics journal May 2018
Enhanced Higgs Boson to τ + τ − Search with Deep Learning journal March 2015
Deep learning beyond Lefschetz thimbles journal November 2017
Stochastic gradient boosting journal February 2002
Electric dipole moments as probes of new physics journal July 2005
Neutron and proton electric dipole moments from N f = 2 + 1 domain-wall fermion lattice QCD journal May 2016
Probing novel scalar and tensor interactions from (ultra)cold neutrons to the LHC journal March 2012
Ridge Regression: Biased Estimation for Nonorthogonal Problems journal February 1970
Dimension-5 C P -odd operators: QCD mixing and renormalization journal December 2015
Searching for exotic particles in high-energy physics with deep learning journal July 2014
Highly improved staggered quarks on the lattice with applications to charm physics journal March 2007
Controlling excited-state contamination in nucleon matrix elements journal June 2016
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond journal July 2013
machine. journal October 2001
Towards a determination of the nucleon EDM from the quark chromo-EDM operator with the gradient flow
  • Kim, Jangho; Dragos, Jack; Shindler, Andrea
  • Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018) https://doi.org/10.22323/1.334.0260
conference May 2019
Isovector charges of the nucleon from 2 + 1 + 1 -flavor lattice QCD journal August 2018
Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD journal November 2015
Neutron Electric Dipole Moment from Beyond the Standard Model
  • Bhattacharya, Tanmoy; Yoon, Boram; Gupta, Rajan
  • Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018) https://doi.org/10.22323/1.334.0188
conference May 2019
The Chroma Software System for Lattice QCD journal March 2005
Regression Shrinkage and Selection Via the Lasso journal January 1996
Bootstrap Methods: Another Look at the Jackknife book January 1992
Confinement of quarks journal June 2003
Factors associated with sufficient knowledge of antibiotics and antimicrobial resistance in the Japanese general population journal February 2020
Simultaneous corn and soybean yield prediction from remote sensing data using deep transfer learning journal May 2021
Ridge Regression: Biased Estimation for Nonorthogonal Problems journal February 2000
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond text January 2013
Effective noise reduction techniques for disconnected loops in Lattice QCD text January 2009
Adaptive multigrid algorithm for the lattice Wilson-Dirac operator text January 2010
A new class of variance reduction techniques using lattice symmetries text January 2012
Searching for Exotic Particles in High-Energy Physics with Deep Learning text January 2014
Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD text January 2015
Controlling Excited-State Contamination in Nucleon Matrix Elements text January 2016
Machine Learning of Explicit Order Parameters: From the Ising Model to SU(2) Lattice Gauge Theory text January 2017
Neutron Electric Dipole Moment from Beyond the Standard Model preprint January 2018
The Chroma Software System for Lattice QCD text January 2004
Electric dipole moments as probes of new physics text January 2005

Cited By (1)

Status and future perspectives for lattice gauge theory calculations to the exascale and beyond journal November 2019