A novel Bayesian approach to spectral function reconstruction

  title={A novel Bayesian approach to spectral function reconstruction},
  author={Yannis Burnier and Alexander Rothkopf},
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… Expand

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