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Lecture
Model Building: Linear Regression
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Supervised Learning: Regression Methods
Explores supervised learning with a focus on regression methods, including model fitting, regularization, model selection, and performance evaluation.
Probabilistic Linear Regression
Explores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Cross-Validation: Techniques and Applications
Explores cross-validation, overfitting, regularization, and regression techniques in machine learning.
Penalization in Ridge Regression
Covers penalization in ridge regression, emphasizing the trade-off between bias and variance in regression models.
Linear Systems: Modeling and Identification
Covers auto-encoders, linear systems modeling, system identification, and recursive least squares.
Regression: Simple and Multiple Linear
Covers simple and multiple linear regression, including least squares estimation and model diagnostics.
Back to Linear Regression
Covers linear regression, regularization, inverse problems, X-ray tomography, image reconstruction, data inference, and detector intensity.
Linear Regression: Fundamentals and Applications
Explores linear regression fundamentals, model training, evaluation, and performance metrics, emphasizing the importance of R², MSE, and MAE.
Kernel Methods: Machine Learning
Explores kernel methods in machine learning, emphasizing their application in regression tasks and the prevention of overfitting.
Linear Regression Basics
Covers the basics of linear regression, including OLS, heteroskedasticity, autocorrelation, instrumental variables, Maximum Likelihood Estimation, time series analysis, and practical advice.