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Lecture
Markov Chains: Definitions and Transitions
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Markov Chains: Basics and Applications
Introduces Markov chains, covering basics, generation algorithms, and applications in random walks and Poisson processes.
Markov chains
Covers Markov chains, Monte Carlo sampling, isotropy, and the curse of dimensionality.
Markov Chains: Simulation and Optimization
Explores Markov chains, Metropolis-Hastings, and simulation for optimization purposes, highlighting the significance of ergodicity in efficient variable simulation.
Markov Chains: Ergodicity and Stationary Distribution
Explores ergodicity and stationary distribution in Markov chains, emphasizing convergence properties and unique distributions.
Markov Chains and Algorithm Applications
Explores Markov chains and algorithm applications, including exact simulation and Propp-Wilson algorithms.
Modeling Neurobiological Signals: Markov Chains
Explores modeling neurobiological signals with Markov Chains, focusing on parameter estimation and data classification.
Continuous Time Markov Chains
Introduces continuous time Markov chains on a finite state space with exponential waiting times and jump probabilities.
MCMC Examples and Error Estimation
Covers Markov Chain Monte Carlo examples and error estimation methods.
Markov Chains: Ergodic Chains Examples
Covers stochastic models for communications, focusing on discrete-time Markov chains.
Markov Chains and Algorithm Applications
Covers the application of Markov chains and algorithms for function optimization and graph colorings.