An algorithm for obtaining reliable priors for constrained-curve fits

Terrence Draper; Shao Jing Dong; Ivan Horváth; Frank Lee; Nilmani Mathur; Jianbo Zhang

doi:10.1016/S0920-5632(03)02730-0

An algorithm for obtaining reliable priors for constrained-curve fits

Terrence Draper, Shao Jing Dong, Ivan Horváth, Frank Lee, Nilmani Mathur, Jianbo Zhang

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We introduce the "Sequential Empirical Bayes Method", an adaptive constrained-curve fitting procedure for extracting reliable priors. These are then used in standard augmented-chi-square fits on separate data. This better stabilizes fits to lattice QCD overlap-fermion data at very low quark mass where a priori values are not otherwise known. We illustrate the efficacy of the method with data from overlap fermions, on a quenched 16³ × 28 lattice with spatial size La = 3.2 fm and pion mass as low as ∼ 180 MeV.

Original language	English
Pages (from-to)	844-846
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	129-130
DOIs	https://doi.org/10.1016/S0920-5632(03)02730-0
State	Published - Mar 2004

Bibliographical note

Funding Information:
*Presented by T. Draper at Lattice 2003. tThis work is supported in part by the U.S. Department of Energy under grant numbers DE-FG05-84ER40154 and DE-FG02-02ER45967.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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Cite this

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T1 - An algorithm for obtaining reliable priors for constrained-curve fits

AU - Draper, Terrence

AU - Dong, Shao Jing

AU - Horváth, Ivan

AU - Lee, Frank

AU - Mathur, Nilmani

AU - Zhang, Jianbo

N1 - Funding Information: *Presented by T. Draper at Lattice 2003. tThis work is supported in part by the U.S. Department of Energy under grant numbers DE-FG05-84ER40154 and DE-FG02-02ER45967.

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N2 - We introduce the "Sequential Empirical Bayes Method", an adaptive constrained-curve fitting procedure for extracting reliable priors. These are then used in standard augmented-chi-square fits on separate data. This better stabilizes fits to lattice QCD overlap-fermion data at very low quark mass where a priori values are not otherwise known. We illustrate the efficacy of the method with data from overlap fermions, on a quenched 163 × 28 lattice with spatial size La = 3.2 fm and pion mass as low as ∼ 180 MeV.

AB - We introduce the "Sequential Empirical Bayes Method", an adaptive constrained-curve fitting procedure for extracting reliable priors. These are then used in standard augmented-chi-square fits on separate data. This better stabilizes fits to lattice QCD overlap-fermion data at very low quark mass where a priori values are not otherwise known. We illustrate the efficacy of the method with data from overlap fermions, on a quenched 163 × 28 lattice with spatial size La = 3.2 fm and pion mass as low as ∼ 180 MeV.

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DO - 10.1016/S0920-5632(03)02730-0

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JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

An algorithm for obtaining reliable priors for constrained-curve fits

Abstract

Bibliographical note

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