A Weakly Informative Prior for Resonance Frequencies

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We derive a weakly informative prior for a set of ordered resonance frequencies from Jaynes’ principle of maximum entropy. The prior facilitates model selection problems in which both the number and the values of the resonance frequencies are unknown. It encodes a weakly inductive bias, provides a reasonable density everywhere, is easily parametrizable, and is easy to sample. We hope that this prior can enable the use of robust evidence-based methods for a new class of problems, even in the presence of multiplets of arbitrary order.
Original languageEnglish
Number of pages10
JournalPhysical Sciences Forum
Issue number2
Publication statusPublished - 4 Nov 2021
EventMAXENT 2021: 40th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering - Graz University of Technology, Graz, Austria
Duration: 4 Jul 20219 Jul 2021


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