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Related lectures (29)
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Optimization and Simulation
Explores optimization techniques like Metropolis-Hastings and Simulated Annealing through Markov chains and stationary distributions.
Markov Chains: Convergence and Spectral Gap
Explores Markov chain convergence, spectral gap, and acceleration techniques for faster convergence.
Positive recurrence: invariant distributions
Explores positive recurrence and invariant distributions in Markov chains, discussing their relationship and implications.
Markov Chains: Stationary Distributions
Explores Markov chains and stationary distributions, emphasizing the importance of identifying them for improving convergence.
Markov Chains: Reversibility and Stationary Distribution
Explores reversibility in Markov chains and its impact on the stationary distribution, highlighting the complexity of non-reversible chains.
Markov Chain Monte Carlo: Sampling and Convergence
Explores Markov Chain Monte Carlo for sampling high-dimensional distributions and optimizing functions using the Metropolis-Hastings algorithm.
Stochastic Models for Communications: Markov Chains and Random Variables
Covers Markov chains, random variables, independence, characteristic functions, and queueing theory.
Stochastic Processes: Time Reversal
Explores time reversal in stationary Markov chains and the concept of detailed balance conditions.
Stochastic Processes: Generation and Embedding
Explores the generation of stochastic processes, including Gaussian processes, Markov processes, Poisson processes, and circulant embedding.