Lecture 08webpages.iust.ac.ir/vhakami/files/convex/Lecture 08.pdf · Subgradients Recall that for...

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Lecture 08 Subgradients & the subgradient method

Transcript of Lecture 08webpages.iust.ac.ir/vhakami/files/convex/Lecture 08.pdf · Subgradients Recall that for...

Page 1: Lecture 08webpages.iust.ac.ir/vhakami/files/convex/Lecture 08.pdf · Subgradients Recall that for convex and differentiable f, f(y) f(x) for all I.e., linear approximation always

Lecture 08Subgradients &

the subgradient method

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𝑥2𝑥1

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𝜃

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The subgradient method

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AppendixSome notes from convex geometry

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“Normal cone” of an arbitrary set