Convex Functions

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Related lectures (31)

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Transformations Affines

Covers the concept of affine transformations in functions, including shifting and compressing functions.

Optimal Transport: Cyclically Monotone Sets

Covers cyclically monotone sets in optimal transport theory and their properties.

Convex Optimization: Convex Functions

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

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Functions: Real Numbers and Graphs

Covers functions of real numbers, graphing, and affine functions.

Optimal Transport: Rockafellar Theorem

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

Derivatives and Continuity in Multivariable Functions

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Mathematics of Data: Optimization Basics

Covers optimization basics, including metrics, norms, convexity, gradients, and logistic regression, with a focus on strong convexity and convergence rates.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Function Properties: Injective, Surjective, Bijective

Explains injective, surjective, and bijective functions using examples and graphs.