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An Intuitive Introduction to Hamiltonian Monte Carlo

Authors: Ayati, Behrouz;

An Intuitive Introduction to Hamiltonian Monte Carlo

Abstract

These notes provide an intuitive introduction to Hamiltonian Monte Carlo (HMC). They emphasize the motivation behind the algorithm, beginning with the typical set and the limitations of random-walk methods, and then introduce the augmented state space, Hamiltonian dynamics, and the leapfrog integrator. The notes are intended as an educational resource rather than a comprehensive or rigorous treatment.

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