Markov Chains, Monte Carlo, and HMC: A Deep Dive

In this episode, we break down the essentials of Markov Chains, Monte Carlo simulations, and Markov Chain Monte Carlo methods. We explain key ideas like memoryless processes, stationary distributions, and how random sampling helps model uncertainty. We also explore gradient-based techniques like Hamiltonian Monte Carlo, highlighting their role in modern statistical modeling. Ideal for anyone curious about the mechanics behind simulations and complex probabilistic models.