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Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods

Publication ,  Journal Article
Li, Y; Lu, J
Published in: Transactions of Mathematics and Its Applications
February 1, 2019
Published version (DOI) Open Access Copy (Duke) Publisher Link

This work aims at understanding of bold diagrammatic Monte Carlo (BDMC) methods for stochastic summation of Feynman diagrams from the angle of stochastic iterative methods. The convergence enhancement trick of the BDMC is investigated from the analysis of condition number and convergence of the stochastic iterative methods. Numerical experiments are carried out for model systems to compare the BDMC with related stochastic iterative approaches.

Duke Scholars

Jianfeng Lu
Author Jianfeng Lu Mathematics
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Published In

Transactions of Mathematics and Its Applications

DOI

10.1093/imatrm/tnz001

EISSN

2398-4945

Publication Date

February 1, 2019

Volume

3

Issue

1

Publisher

Oxford University Press (OUP)

Related Subject Headings

  • 4901 Applied mathematics
 

Citation

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Chicago
ICMJE
MLA
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Li, Y., & Lu, J. (2019). Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods. Transactions of Mathematics and Its Applications, 3(1). https://doi.org/10.1093/imatrm/tnz001
Li, Yingzhou, and Jianfeng Lu. “Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods.” Transactions of Mathematics and Its Applications 3, no. 1 (February 1, 2019). https://doi.org/10.1093/imatrm/tnz001.
Li Y, Lu J. Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods. Transactions of Mathematics and Its Applications. 2019 Feb 1;3(1).
Li, Yingzhou, and Jianfeng Lu. “Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods.” Transactions of Mathematics and Its Applications, vol. 3, no. 1, Oxford University Press (OUP), Feb. 2019. Crossref, doi:10.1093/imatrm/tnz001.
Li Y, Lu J. Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods. Transactions of Mathematics and Its Applications. Oxford University Press (OUP); 2019 Feb 1;3(1).
Journal cover image

Published In

Transactions of Mathematics and Its Applications

DOI

10.1093/imatrm/tnz001

EISSN

2398-4945

Publication Date

February 1, 2019

Volume

3

Issue

1

Publisher

Oxford University Press (OUP)

Related Subject Headings

  • 4901 Applied mathematics