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Convex sets and Convex functions.

We give the definition of a convex set and show that balls and half-spaces are examples.

Follows so Q is all the possible convex combination of points from s we're now going to look at a sketch of the proof it's clear that ...

We introduce the extended real line, give the definition of a convex functions, discuss the norm of a vector space as an example, ...

We define the epigraph of a function and explain why it connects certain properties of functions with properties of sets.

We finish the proof of the theorem by showing that a monotone gradient implies convexity and prove that convexity of a twice ...

We define conjugate functions and have a look on some properties of them.

Let s be a subset of RN let X be an element in the convex how of s the caror theorem states that X can be written as the convex ...

Strictly and strongly convex functions.

We are going to look at convex sets in Rn For that we need the notion of a line segment in Rn To motivate the definition let's look ...

Optimization Methods for Machine Learning and Engineering (KIT Winter Term 20/21) Slides and errata are available here: ...

A continuation of the discussion of extreme points of convex sets. Previous video: http://www.youtube.com/watch?v=TozDxSHrdf4 ...

Notes: https://users.cs.duke.edu/~cynthia/CourseNotes/ConvexOptimizationDukeVersion.pdf.

Key ideas from convex geometry for SVM.

Lecture 2022-2 (09): Computational Finance 2 / Applied Mathematical Finance: Convexity Adjustments (Part 1/3) - Natural Payoff ...

In this video, we talk about how you can answer the interview question as in the title of the video. If you find this video ...

In this video, we revisit #imageprocessing methods of #variational-calculus for #denoising images. More precisely, we want to ...

Defining and illustrating convex and concave functions of one variable.

Lecture course 236330, Introduction to Optimization, by Michael Zibulevsky, Technion Definition of set and function. Properties of ...

Definitions of convex regions of the plane and convex hulls.