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Lecture
Bayesian Estimation: Unsupervised Learning & MCMC
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Gaussian Processes: Designing Receivers
Covers the theory behind Gaussian processes and the design of receivers using MAP calculations.
Statistical Estimation: Maximum Likelihood
Explores Maximum Likelihood Estimation properties, challenges, and alternative methods in statistical inference.
Maximum Likelihood Estimation: Properties and Consistency
Explores Maximum Likelihood Estimation properties, consistency, and applications in statistical inference.
Confidence Intervals: Definition and Estimation
Explains confidence intervals, parameter estimation methods, and the central limit theorem in statistical inference.
Estimation Methods in Probability and Statistics
Discusses estimation methods in probability and statistics, focusing on maximum likelihood estimation and confidence intervals.
The Stein Phenomenon and Superefficiency
Explores the Stein Phenomenon, showcasing the benefits of bias in high-dimensional statistics and the superiority of the James-Stein Estimator over the Maximum Likelihood Estimator.
Molecular Dynamics and Monte Carlo
Covers computational methods for molecular systems at finite temperature, emphasizing stochastic sampling and time evolution simulations.
Optimality in Decision Theory: Unbiased Estimation
Explores optimality in decision theory and unbiased estimation, emphasizing sufficiency, completeness, and lower bounds for risk.
Maximum Likelihood Estimation: Properties and Applications
Explores the properties and challenges of Maximum Likelihood Estimators.
Logistic Regression: Statistical Inference and Machine Learning
Covers logistic regression, likelihood function, Newton's method, and classification error estimation.