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Lecture
Gaussian Process Regression: Probabilistic Linear Regression
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Probabilistic Models for Linear Regression
Covers the probabilistic model for linear regression and its applications in nuclear magnetic resonance and X-ray imaging.
Linear Regression: Statistical Inference and Regularization
Covers the probabilistic model for linear regression and the importance of regularization techniques.
Gaussian Process Regression: Kernels and Comparisons
Explores Gaussian Process Regression kernels, computational costs, and comparisons with Ridge Regression and other non-linear regression techniques.
Nonparametric Regression: Kernel-Based Estimation
Covers nonparametric regression using kernel-based estimation techniques to model complex relationships between variables.
Parametric Models
Explores statistical estimation, regression models, and model selection in parametric models.
Model Selection Criteria: AIC, BIC, Cp
Explores model selection criteria like AIC, BIC, and Cp in statistics for data science.
Maximum Likelihood Theory & Applications
Covers maximum likelihood theory, applications, and hypothesis testing principles in econometrics.
Gaussian Mixture Regression: Modeling and Prediction
Covers Gaussian Mixture Regression principles, modeling joint and conditional densities for multimodal datasets.
Generalized Linear Regression: Classification
Explores Generalized Linear Regression, Classification, confusion matrices, ROC curves, and noise in data.
Regression: Simple and Multiple Linear
Covers simple and multiple linear regression, including least squares estimation and model diagnostics.