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A novel Bayesian approach to spectral function reconstruction · Around

2013

A novel Bayesian approach to spectral function reconstruction

Burnier, Yannis, Rothkopf, Alexander

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We present a novel approach to the inference of spectral functions from Euclidean time correlator data that makes close contact with modern Bayesian concepts.

Our method differs significantly from the maximum entropy method (MEM).
A new set of axioms is postulated for the prior probability, leading to an improved expression, which is devoid of the asymptotically flat directions present in the Shanon-Jaynes entropy.
Hyperparameters are integrated out explicitly, liberating us from the Gaussian approximations underlying the evidence approach of the MEM.

Built on

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Then

O. Gunnarsson, M.W. Haverkort and G. Sangiovanni, Phys. Rev. B 82
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A. Rothkopf, T. Hatsuda and S. Sasaki, PoS LAT 2009
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Y. Burnier,A. Rothkopf, Phys. Rev. D 87
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