%0 Generic %1 Chen2004Sequential %A Chen, Ying %A Dong, Shao-Jing %A Draper, Terrence %A Horvath, Ivan %A Liu, Keh-Fei %A Mathur, Nilmani %A Tamhankar, Sonali %A Srinivasan, Cidambi %A Lee, Frank X. %A Zhang, Jianbo %D 2004 %K statistics %T The Sequential Empirical Bayes Method: An Adaptive Constrained-Curve Fitting Algorithm for Lattice QCD %U http://arxiv.org/abs/hep-lat/0405001 %X 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^2\$ 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. Lessons learned (including caveats limiting the scope of the method) from studying artificial data are presented. As an illustration, from local-local two-point correlation functions, we obtain masses and spectral weights for ground and first-excited states of the pion, give preliminary fits for the \$a\_0\$ where ghost states (a quenched artifact) must be dealt with, and elaborate on the details of fits of the Roper resonance and \$S\_11(N^1/2-)\$ previously presented elsewhere. The data are from overlap fermions on a quenched \$16^328\$ lattice with spatial size \$La=3.2 fm\$ and pion mass as low as \$180 MeV\$.

@misc{Chen2004Sequential, 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^2\$ fits on separate data. This better stabilizes fits to lattice QCD overlap-fermion data at very low quark mass where {\it a priori} values are not otherwise known. Lessons learned (including caveats limiting the scope of the method) from studying artificial data are presented. As an illustration, from local-local two-point correlation functions, we obtain masses and spectral weights for ground and first-excited states of the pion, give preliminary fits for the \$a\_0\$ where ghost states (a quenched artifact) must be dealt with, and elaborate on the details of fits of the Roper resonance and \$S\_{11}(N^{1/2-})\$ previously presented elsewhere. The data are from overlap fermions on a quenched \$16^3\times 28\$ lattice with spatial size \$La=3.2 {\rm fm}\$ and pion mass as low as \$\sim 180 {\rm MeV}\$.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Chen, Ying and Dong, Shao-Jing and Draper, Terrence and Horvath, Ivan and Liu, Keh-Fei and Mathur, Nilmani and Tamhankar, Sonali and Srinivasan, Cidambi and Lee, Frank X. and Zhang, Jianbo}, biburl = {https://www.bibsonomy.org/bibtex/2de58f726bff84a43b2078c42f3f809d7/cmcneile}, citeulike-article-id = {13095542}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-lat/0405001}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-lat/0405001}, day = 3, eprint = {hep-lat/0405001}, interhash = {5e49d653f4511757c720d48410f7f714}, intrahash = {de58f726bff84a43b2078c42f3f809d7}, keywords = {statistics}, month = may, posted-at = {2014-03-06 17:20:17}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{The Sequential Empirical Bayes Method: An Adaptive Constrained-Curve Fitting Algorithm for Lattice QCD}}, url = {http://arxiv.org/abs/hep-lat/0405001}, year = 2004 }