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November 28, 2024

Bayesian Field Theory

24 minutes

This Book is a technical treatise on Bayesian field theory, focusing on nonparametric Bayesian approaches and their applications. It extensively explores the use of Gaussian process priors and their extensions, including mixtures of Gaussian priors, for various statistical problems such as density estimation and regression. The text also examines Bayesian methods for inverse problems, particularly in quantum mechanics, introducing concepts like hyperparameters and auxiliary fields to adapt prior models. Finally, it discusses practical computational methods for implementing and solving these models.

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