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15
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Intersection of a convex set and a line

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#vector-spaces #convex-analysis #convex-optimization #convex-geometry
80
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Local convexity of a function containing norms

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#convex-analysis #definition #convex-optimization #positive-semidefinite #hessian-matrix
50
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Constrained minimization: spring system

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#convex-optimization #physics
106
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Is it possible to express inequality constraints as equality constraints?

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#optimization #convex-optimization #quadratic-programming
107
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Proving convexity of a bivariate function

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#real-analysis #optimization #convex-analysis #convex-optimization
97
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Minimum of a non-convex function

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#real-analysis #optimization #convex-analysis #convex-optimization #non-convex-optimization
22
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Separation of points by polytopes

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#convex-optimization #machine-learning #convex-geometry #convex-hulls #clustering
199
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When does the solution of a convex optimization problem lie on the boundary or apex of the feasible set?

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#optimization #convex-optimization
18
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Proving lower bounds on a minimization problem over positive semidefinite matrices with a bounded maximal rank

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#convex-optimization #non-convex-optimization
86
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Optimal control problem with Kuhn–Tucker constraint

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#optimization #convex-optimization #stochastic-calculus #optimal-control #karush-kuhn-tucker
117
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Non-negative least-squares with random variables

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#statistics #optimization #convex-optimization #least-squares
30
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Functions that preserve the minimum inside an integral

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#integration #convex-optimization #self-learning #function-and-relation-composition
140
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How to prove the optimality of $r = \frac{Ax^*-b}{\|Ax^*-b\|_2}$ for the dual problem of $\text{minimize}\quad \|Ax-b\|_2 + \gamma\|x\|_1$?

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#optimization #convex-analysis #convex-optimization #duality-theorems
98
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Projection to triangular matrices whose symmetrisation has positive eigenvalues

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#linear-algebra #matrices #convex-optimization #numerical-optimization #projection
130
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How to derive the dual problem of this optimization problem with domain limited to $\|y\|_\infty\leq1$

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#optimization #convex-analysis #convex-optimization #duality-theorems

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