USMA MA289: Mathematics of AI

Parametric Models: Linear & Logistic Regression

Learning Outcomes

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Textbook References

Key Topics, Meeting Notes / Lesson Objectives, and Assignments

Date Key Topics Meeting Notes and Lesson Objectives Assignments
10 Feb 2026 Lesson 05: Linear Regression Meeting notes linked here. Learn to: (1) apply linear regression, (2) use cross-validation, (3) understand geometric, statistical, and optimization perspectives on least squares, and (4) derive the normal equations. ISLP 69-108; MLP Mod 2.
17 Feb 2026 Lesson 06: Logistic Regression & Classification Meeting notes linked here. Understand logistic regression, probabilistic classification, confusion matrices, precision, recall, F1, ROC curves, and the relationship between training loss and evaluation metrics. ISLP 135-167; MLP Mod 3.
24 Feb 2026 Lesson 07: Model Selection & Regularization Meeting notes linked here. Understand shrinkage, Ridge regression, Lasso, model-selection criteria, and the role of regularization in controlling variance. ISLP 229-253; GitHub Introduction.
03 Mar 2026 Lesson 08: Classification Metrics & Gradient Descent Meeting notes linked here. Understand classification metrics and gradient descent. Connect the model, loss function, gradient, learning rate, and optimization algorithm. Géron 89-111.
10 Mar 2026 Lesson 09: Classification Model Comparison Meeting notes linked here. Compare logistic regression, LDA, SVM, and KNN. Understand how model parameters change bias, variance, flexibility, computational cost, and interpretability. ISLP 173-188.
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