Gibbs Measures in Machine Learning

Gibbs Measures in Machine Learning

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From the Ising model to large language models, Gibbs Measures in Machine Learning offers a complete journey through one of the most powerful concepts connecting statistical physics and modern AI. Starting with the mathematical foundations - measure theory, Markov chains, and configuration spaces - the book builds toward advanced applications in Bayesian inference, structured prediction, unsupervised learning, and deep neural networks. Along the way, it bridges classical models such as Potts and Solid-on-Solid with state-of-the-art techniques like attention mechanisms, diffusion models, and pro...