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Lecture
Stochastic Simulation: Markov Processes Generation
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Generation of Markov Processes
Covers the generation of Markov processes and Markov chains, including transition matrices and stochastic matrices.
Stochastic Models for Communications
Covers stochastic models for communications, focusing on random variables, Markov chains, Poisson processes, and probability calculations.
Markov Chains: Basics and Applications
Introduces Markov chains, covering basics, generation algorithms, and applications in random walks and Poisson processes.
Continuous Time Markov Chains
Introduces continuous time Markov chains on a finite state space with exponential waiting times and jump probabilities.
Simulation & Optimization: Poisson Process & Random Numbers
Explores simulation pitfalls, random numbers, discrete & continuous distributions, and Monte-Carlo integration.
Stochastic Models for Communications
Covers the fundamentals of stochastic models for communications, focusing on Markov chains and Poisson processes.
Neurobiological Signals: Processing and Classification
Explores neurobiological signal processing, including spike modeling, de-noising, and data classification techniques.
Markov Chains: Properties and Expectations
Explores Markov chains' properties, expectations, and recurrence in Poisson processes.
Neurobiological Signal Processing
Explores neurobiological signal processing, covering spike modeling, signal classification, and data characterization using principal component analysis.
Stochastic Models for Communications
Covers mathematical tools for communication systems and data science, including information theory and signal processing.