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Related lectures (56)

Learning the Kernel: Convex Optimization Log in to Mediaspace to watch this video

Explores learning the kernel function in convex optimization, focusing on predicting outputs using a linear classifier and selecting optimal kernel functions through cross-validation.

KKT and Convex Optimization Log in to Mediaspace to watch this video

Covers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.

Convex Optimization: Gradient Descent Log in to Mediaspace to watch this video

Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.

Optimal Transport: Kantorovich Duality Log in to Mediaspace to watch this video

Covers optimal transport and Kantorovich duality in real-life distribution problems.

Decentralized Storage & Distribution: BitTorrent & IPFS Log in to Mediaspace to watch this video

Explores decentralized storage & distribution using BitTorrent & IPFS, covering goals, challenges, building specifications, integrity, bootstrapping, performance, incentives, versioning, naming, and CRDTs.

Linear Programming Basics Log in to Mediaspace to watch this video

Introduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.

Cones of convex sets Log in to Mediaspace to watch this video

Explores optimization on convex sets, including KKT points and tangent cones.

Untitled Log in to Mediaspace to watch this video

Optimal Transport: Rockafellar Theorem Log in to Mediaspace to watch this video

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Convex Optimization: Elementary Results Log in to Mediaspace to watch this video

Explores elementary results in convex optimization, including affine, convex, and conic hulls, proper cones, and convex functions.

Convex Optimization: Convex Functions Log in to Mediaspace to watch this video

Covers the concept of convex functions and their applications in optimization problems.

Logistic Regression: Probability Modeling Log in to Mediaspace to watch this video

Covers logistic regression for binary classification using probability modeling and optimization methods.

Clustering & Density Estimation Log in to Mediaspace to watch this video

Covers clustering, PCA, LDA, K-means, GMM, KDE, and Mean Shift algorithms for density estimation and clustering.

Diophantine Approximation: Minbowski's Theorem Log in to Mediaspace to watch this video

Covers Minbowski's Theorem on Diophantine Approximation and Gram-Schmidt orthogonalization.

Sparsest Cut: Leighton-Rao Algorithm Log in to Mediaspace to watch this video

Covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on its steps and theoretical foundations.

Convex Sets: Mathematical Optimization Log in to Mediaspace to watch this video

Introduces convex optimization, covering convex sets, solution concepts, and efficient numerical methods in mathematical optimization.

Linear Models for Classification: Multi-Class Extensions Log in to Mediaspace to watch this video

Covers linear models for multi-class classification, focusing on logistic regression and evaluation metrics.

Kernel Ridge Regression: Equivalent Formulations and Representer Theorem Log in to Mediaspace to watch this video

Explores Kernel Ridge Regression, equivalent formulations, Representer Theorem, Kernel trick, and predicting with kernels.

Convex Functions: Theory and Applications Log in to Mediaspace to watch this video

Introduces convex functions, covering affine, convex, and conic hulls, transformations, inequalities, and conditions for convexity.

Evaporation vs Boiling: Phase Change Efficiency Log in to Mediaspace to watch this video

Explores the efficiency of phase change processes, focusing on evaporation and boiling, differentiating between the two and discussing the various regimes of pool boiling.

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