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A simplified Bayesian model for functional regression

Published on:

21 December 2023

Primary Category:

Methodology

Paper Authors:

José R. Berrendero,

Antonio Coín,

Antonio Cuevas

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Key Details

Proposes Bayesian methodology for functional regression using RKHS theory

Uses finite-dimensional approximation with parametric form based on kernel

Derives posterior consistency result based on classic theorem by Doob

Prediction strategies are competitive against common alternatives

Includes Bayesian-motivated variable selection procedure

AI generated summary

A simplified Bayesian model for functional regression

This paper proposes a Bayesian approach to functional regression based on reproducing kernel Hilbert spaces. It uses a finite-dimensional approximation with a parametric form to simplify inference. Theoretical results guarantee posterior consistency. Prediction strategies from the Bayesian model are competitive on simulations and real data.

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