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Lecture
Nonparametric Regression: Local Polynomial Estimation
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Nonparametric Regression: Kernel-Based Estimation
Covers nonparametric regression using kernel-based estimation techniques to model complex relationships between variables.
Non-parametric Regression: Smoothing Techniques
Explores non-parametric regression techniques, including splines, bias-variance tradeoff, orthogonal functions, wavelets, and modulation estimators.
Nonparametric Regression
Covers nonparametric regression, scatterplot smoothing, kernel methods, and bias-variance tradeoff.
Kernel Regression: K-nearest Neighbors
Covers the concept of kernel regression and K-nearest neighbors for making data linearly separable.
Kernel Methods: SVM and Regression
Introduces kernel methods like SVM and regression, covering concepts such as margin, support vector machine, curse of dimensionality, and Gaussian process regression.
Neural Network: Random Features and Kernel Regression
Covers random features in neural networks and kernel regression equivalence.
Kernel Methods and Regression
Covers kernel methods, kernel regression, RBF kernel, and SVM for classification.
Nonparametric Statistics: Bayesian Approach
Explores non-parametric statistics, Bayesian methods, and linear regression with a focus on kernel density estimation and posterior distribution.
Probabilistic Models for Linear Regression
Covers the probabilistic model for linear regression and its applications in nuclear magnetic resonance and X-ray imaging.
Error Decomposition and Regression Methods
Covers error decomposition, polynomial regression, and K Nearest-Neighbors for flexible modeling and non-linear predictions.