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Related lectures (32)
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Convex Sets and Functions
Introduces convex sets and functions, discussing minimizers, optimality conditions, and characterizations, along with examples and key inequalities.
Bezier Curves: Basics and Properties
Covers the basics of Bezier curves and introduces Bernstein polynomials.
Homology Theorem
Covers the proof of Theorem A, discussing homology, quotients, and isomorphisms.
Optimal Transport: Rockafellar Theorem
Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.
Convex Functions: Theory and Applications
Introduces convex functions, covering affine, convex, and conic hulls, transformations, inequalities, and conditions for convexity.
Convex Functions: Theory and Applications
Explores convex functions, affine transformations, pointwise maximum, minimization, Schur's Lemma, and relative entropy in mathematical optimization.
Higher-order Interactions in Brain Networks
Explores higher-order interactions in brain networks using simplicial complexes and information theory, analyzing data from fMRI, financial time-series, and infectious diseases.
Convex Optimization: Gradient Descent
Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.
Bezier Curves II
Covers Bezier curves, de Casteljau Algorithm, properties, derivatives, splines, and end-points.
Convex Sets: Theory and Applications
Explores convex sets, their properties, and applications in optimization.
