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Lecture
Hidden Markov Models (HMM): Theory
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Modeling Neurobiological Signals: Markov Chains
Explores modeling neurobiological signals with Markov Chains, focusing on parameter estimation and data classification.
Hidden Markov Models: Primer
Introduces Hidden Markov Models, explaining the basic problems and algorithms like Forward-Backward, Viterbi, and Baum-Welch, with a focus on Expectation-Maximization.
Spectral Estimation Methods
Explores parametric spectrum estimation methods, including line and smooth spectra, and delves into heart rate variability analysis.
MCMC Examples and Error Estimation
Covers Markov Chain Monte Carlo examples and error estimation methods.
Modeling Neurobiological Signals: Spikes & Firing Rate
Explores modeling neurobiological signals, focusing on spikes, firing rate, multiple state neurons, and parameter estimation.
Maximum Likelihood: Inference and Model Comparison
Explores maximum likelihood inference, model selection, and comparing models using likelihood ratios.
Learning Chemical Reaction Networks
Explores sparse learning of chemical reaction networks from trajectory data using data-based methods and learning approaches.
Part-of-Speech Tagging: Probabilistic Models
Explores Part-of-Speech tagging using probabilistic models like Hidden Markov Models and discusses the resolution of lexical ambiguities.
Maximum Likelihood Inference
Explores maximum likelihood inference, comparing models based on likelihood ratios and demonstrating with a coin example.
Parametric Signal Models: Matlab Practice
Covers parametric signal models and practical Matlab applications for Markov chains and AutoRegressive processes.