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Lecture
Splines: Fundamentals and Applications
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Linear Regression: Basics and Estimation
Covers the basics of linear regression and how to solve estimation problems using least squares and matrix notation.
Linear Regression: Statistical Inference and Regularization
Covers the probabilistic model for linear regression and the importance of regularization techniques.
Splines: Least-Squares Method
Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.
Linear and Weighted Regression: Optimal Parameters and Local Solutions
Covers linear and weighted regression, optimal parameters, local solutions, SVR application, and regression techniques' sensitivity.
Machine Learning Fundamentals: Structure Discovery, Classification, Regression
Covers fundamental machine learning concepts including Structure Discovery, Classification, and Regression.
Least Squares Approximation
Explains least squares approximation for finding best fit lines or curves to data points.
Linear Regression Testing
Explores least squares in linear regression, hypothesis testing, outliers, and model assumptions.
Optimization Techniques: Gradient Method Overview
Discusses the gradient method for optimization, focusing on its application in machine learning and the conditions for convergence.
Linear Regression: Estimation and Inference
Explores linear regression estimation, linearity assumptions, and statistical tests in the context of model comparison.
Bivariate Data Analysis: Correlation and Regression
Explores bivariate data analysis, correlation, and regression techniques for model assessment.