Asociacion Argentina de Mecanica Computacional, XLI Congreso Argentino de Mecánica Computacional

Tamaño de fuente: 
Data-driven Bayesian Deconvolution of Continuous Distributions of Relaxation Times
Ligia Ciocci Brazzano, Leonardo J. Pellizza, Claudia L. Matteo, Patricio A. Sorichetti, Martín G. González, Julián Corach, Eduardo O. Acosta

Última modificación: 27-10-2025

Resumen


The knowledge of mechanical properties of materials is based on a precise analysis of their relaxation spectra. The development of methods to deconvolve spectra from measured data, and the assessment of their reliability, is therefore of paramount importance. We present a novel Bayesian deconvolution method based on a physically grounded parameterization of the spectra. We use a Metropolis-Hastings Markov-chain Monte Carlo fitting algorithm, with a full posterior analysis to obtain the best-fitting spectrum and its uncertainties. We test its performance on simulated data, finding that it is unbiased, reliable, and gives precise results even under strong noise.

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