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Computing the infimum in convex optimization

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#normed-spaces #convex-optimization #supremum-and-infimum
407
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Quasiconcave, Continuous, Monotone Functions

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#calculus #convex-analysis #convex-optimization
48
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Sample the solution space of an inequality system $A x \leq b$

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#algebraic-geometry #convex-optimization
354
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Proof of Strong Duality theorem for semidefinite programs vis Farkas Lemma

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#linear-algebra #convex-optimization #positive-semidefinite #semidefinite-programming
271
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Calculus of variations for Fenchel Dual (Convex Conjugate)

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#calculus #convex-analysis #convex-optimization #calculus-of-variations #duality-theorems
490
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Prove that if $x$ is a local strict optima then $x$ is an unique global optima

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#calculus #convex-analysis #convex-optimization
13.9k
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Is KKT conditions necessary and sufficient for any convex problems?

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#convex-analysis #convex-optimization #duality-theorems #karush-kuhn-tucker
438
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Alternate way to prove running average of a convex function is convex?

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#convex-analysis #convex-optimization
35
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Reference request - Existence of a solution to an optimization problem in a Banach space

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#reference-request #optimization #banach-spaces #convex-optimization
1.6k
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For a convex optimization problem, if primal and dual optimal variables exist, does strong duality hold?

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#convex-optimization
663
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How to show a polyhedral is non-empty?

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#linear-algebra #optimization #convex-optimization
254
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Volume of largest ellipsoid fitting into a box and volume of smallest ellipsoid containing that box

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#optimization #algorithms #convex-optimization #linear-programming
527
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How could I optimize the objective function which is a probability form

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#probability #optimization #convex-optimization #non-convex-optimization
314
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Dual optimization problem for standard linear programming

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#convex-optimization #linear-programming #lagrange-multiplier #dual-cone
631
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How can I approximate the Hessian matrix in convex optimization?

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#linear-algebra #multivariable-calculus #numerical-methods #taylor-expansion #convex-optimization

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