Functional graphical model for spectrometric data analysis

Laura Codazzi, Alessandro Colombi, Matteo Gianella, Raffaele Argiento, Lucia Paci, Alessia Pini

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Motivated by the analysis of spectrographic data, we introduce a functional graphical model for learning the conditional independence structure of spectra. Absorbance spectra are modeled as continuous functional data through a cubic B-spline basis expansion. A Gaussian graphical model is assumed for basis ex- pansion coefficients, where a sparse structure is induced for the precision matrix. Bayesian inference is carried out, providing an estimate of the precision matrix of the coefficients, which translates into an estimate of the conditional independence structure between frequency bands of the spectrum. The proposed model is applied to the analysis of the infrared absorbance spectra of strawberry purees.
Original languageEnglish
Title of host publicationBook of short papers SIS 2020
Number of pages5
Publication statusPublished - 2020
Event50th Meeting of the Italian Statistical Society - Pisa
Duration: 22 Jun 202024 Jun 2020


Conference50th Meeting of the Italian Statistical Society


  • Bayesian inference, functional data analysis, graphical model selection


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