Convex Functions

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Related lectures (39)

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.

Conjugate Duality: Understanding Convex Optimization Log in to Mediaspace to watch this video

Explores conjugate duality in convex optimization, covering weak and supporting hyperplanes, subgradients, duality gap, and strong duality conditions.

Convex Optimization Log in to Mediaspace to watch this video

Introduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.

Proximal Gradient Descent: Optimization Techniques in Machine Learning Log in to Mediaspace to watch this video

Discusses proximal gradient descent and its applications in optimizing machine learning algorithms.

Optimization Techniques: Convexity and Algorithms in Machine Learning Log in to Mediaspace to watch this video

Covers optimization techniques in machine learning, focusing on convexity, algorithms, and their applications in ensuring efficient convergence to global minima.

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

Provides an overview of optimization techniques, focusing on gradient descent and properties of convex functions in machine learning.

Faster Gradient Descent: Projected Optimization Techniques Log in to Mediaspace to watch this video

Covers faster gradient descent methods and projected gradient descent for constrained optimization in machine learning.

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

Introduces convex optimization through sets and functions, covering intersections, examples, operations, gradient, Hessian, and real-world applications.

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

Covers exercises on convex optimization, focusing on formulating and solving optimization problems using YALMIP and solvers like GUROBI and MOSEK.

Conjugate Functions: Dual Programs Log in to Mediaspace to watch this video

Explores conjugate functions, dual programs, rescaling, convex programs, and optimization domains.

Convexifying Nonconvex Problems: MGT-418 Lecture Log in to Mediaspace to watch this video

Explores convexifying nonconvex problems through kernel tricks, sensitivity interpretation, and nonlinear dimensionality reduction.

Introduction to Physics: Scientific Approach and Mathematics Log in to Mediaspace to watch this video

Covers the scientific method, mathematical descriptions, and the role of mathematics in Physics.

Vector Algebra: Scalar Product Log in to Mediaspace to watch this video

Explores the scalar product of vectors, including properties and calculation methods.

Center of Gravity and Variable Change Log in to Mediaspace to watch this video

Discusses center of gravity, variable change, spherical coordinates, and bijectivity in mathematical analysis.

Limits and Continuity: Analysis 1 Log in to Mediaspace to watch this video

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Wurzelkriterium: Majorantenkriterium Log in to Mediaspace to watch this video

Covers the Majorantenkriterium and Wurzelkriterium for convergence tests of series.

Fourier Analysis: Stokes Theorem Log in to Mediaspace to watch this video

Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.

Analysis 1: Series and Achilles Paradox Log in to Mediaspace to watch this video

Covers convergence criteria, properties of sequences, and the Achilles Paradox.

Proton Barrier Penetration: Transmission Coefficient Calculation Log in to Mediaspace to watch this video

Covers the calculation of the transmission coefficient for proton barrier penetration and its application in determining average passage time.

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