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Model Selection Criteria: AIC, BIC, Cp
Explores model selection criteria like AIC, BIC, and Cp in statistics for data science.
Optimization with Constraints: KKT Conditions
Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.
Optimal Transport: Gradient Flows in Rd
Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.
Linear Models and Overfitting
Explores linear models, overfitting, and the importance of feature expansion and adding more data to reduce overfitting.
Optimal Transport: Rockafellar Theorem
Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.
Optimization Techniques: Gradient Descent and Convex Functions
Provides an overview of optimization techniques, focusing on gradient descent and properties of convex functions in machine learning.
Convex Optimization: Gradient Descent
Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.
Convex Optimization: Convex Functions
Covers the concept of convex functions and their applications in optimization problems.
Optimization Techniques: Convexity and Algorithms in Machine Learning
Covers optimization techniques in machine learning, focusing on convexity, algorithms, and their applications in ensuring efficient convergence to global minima.