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Second adjoint into a subspace

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#functional-analysis #linear-transformations #topological-vector-spaces #duality-theorems
450
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clarifying the definition of the Lagrange dual function, and how to find it systematically

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#optimization #convex-analysis #convex-optimization #lagrange-multiplier #duality-theorems
54
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What was wrong with this argument?

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#optimization #duality-theorems #optimal-transport
86
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Dual optimization problem, decomposition.

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#optimization #lagrange-multiplier #duality-theorems #karush-kuhn-tucker
225
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Equivalence of defining the Fenchel conjugate as $\sup_x\{\langle x^*, x \rangle - f(x)\}$ or $\inf_x\{f(x)-\langle x^*, x \rangle\}$

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#optimization #convex-analysis #duality-theorems
80
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How to interpret the word 'find' in an exercise?

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#optimization #soft-question #linear-programming #nonlinear-optimization #duality-theorems
560
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Dual formulation of norm-constrained nonconvex problem

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#optimization #duality-theorems #non-convex-optimization
4.2k
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Advantages of dual over primal solution of an optimization problem

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#optimization #convex-optimization #linear-programming #lagrange-multiplier #duality-theorems
102
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Relations between representations and corepresentations of dually paired Hopf algebras

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#representation-theory #lie-groups #lie-algebras #duality-theorems #hopf-algebras
417
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How can we rewrite this optimization problem in standard form?

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#optimization #convex-optimization #duality-theorems #discrete-optimization
108
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How to rewrite this optimization problem in standard form?

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#optimization #convex-optimization #duality-theorems #discrete-optimization
274
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Is the class of dualizable objects in an abelian monoidal category closed under sums, kernels and cokernels?

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#category-theory #duality-theorems #abelian-categories #monoidal-categories
1.1k
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Why study duality in optimization?

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#optimization #duality-theorems
2.6k
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Dual problem of unconstrained linear least squares

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#convex-optimization #lagrange-multiplier #least-squares #duality-theorems #karush-kuhn-tucker
27
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Formulating the dual problem to a standard minimisation problem, quick question

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#linear-programming #duality-theorems

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