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Exercice derive the dual of the inspired quantum standard form of an SDP

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exercice derive the dual and assess strong duality part 2

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exercice derive the dual pb and assess strong duality

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what is strictly feasible

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Slater's theorem

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What is weakly dual What is strongly dual What's the difference between both

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Understand the general framework of going from the primal to the dual for SDP thanks to lagrangian

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A quantum-inspired standard form for SDP

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Graphical solution to a SDP program

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Second Family semi-definite programming

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Graphical solution to our linear program with chairs and tables

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Socrates' The knowledge that you know nothing

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Linear programming concrete example with chairs and tables

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Proof that the general set that defines linear programming is convex

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First Family Linear Programming

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Proof All local minima are also global minima

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The ONE property that makes convex optimization stands out in the domain of optimization

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Three elementary questions on the general theory of convex optimization

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Proof that partial minimization preserves convexity using the definition of the epigraph

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Pointwise suprema preserve convexity

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Non negative sums preserve convexity

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A function f is convex iff epi(f) is convex

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Definition of an epigraph

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Exercice KL-divergence is convex with gradient and Hessian

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Exercice entropy is concave

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PSD are convex sets

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Probability simplex are convex sets

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half-spaces are convex sets

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Hyperplanes are convex sets

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Nietzsche vs Society Why Most Values Are Not Yours or The Problem With “Being a Good Person

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