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Lecture
Modern Regression: Smoothing and Modelling Choices
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Linear and Weighted Regression: Optimal Parameters and Local Solutions
Covers linear and weighted regression, optimal parameters, local solutions, SVR application, and regression techniques' sensitivity.
Modern Regression: Statistical Models and Data Analysis
Introduces regression analysis, covering linear and nonlinear models, Poisson regression, and failure time analysis using various datasets.
Nonparametric Statistics: Bayesian Approach
Explores non-parametric statistics, Bayesian methods, and linear regression with a focus on kernel density estimation and posterior distribution.
Linear Regression: Estimation and Inference
Explores linear regression estimation, linearity assumptions, and statistical tests in the context of model comparison.
Regression Methods: Spline Smoothing
Covers regression methods focusing on spline smoothing and penalised fitting to balance data fidelity and smoothness.
Inference: Model Checking
Covers iterative weighted least squares, generalized linear models, and model checking.
Inference and Mixed Models
Covers point estimation, confidence intervals, and hypothesis testing for smooth functions using mixed models and spline smoothing.
Direct Methods for Linear Systems
Covers the solution of linear systems using direct methods and the evolution of matrices.
Nonlinear Machine Learning: k-Nearest Neighbors and Feature Expansion
Covers the transition from linear to nonlinear models, focusing on k-NN and feature expansion techniques.
Introduction to Machine Learning: Supervised Learning
Introduces supervised learning, covering classification, regression, model optimization, overfitting, and kernel methods.