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Proximal Operator for $ f \left( \boldsymbol{x} \right) = - \log \left(x_1 \cdot x_2 \cdot \ldots \cdot x_n \right) $

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#optimization #convex-analysis #convex-optimization #proximal-operators
505
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How to derive the dual for min-cut problem?

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#real-analysis #convex-analysis #convex-optimization #linear-programming
1.2k
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Maximize $\langle \mathrm A , \mathrm X \rangle$ subject to $\| \mathrm X \|_2 \leq 1$

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#optimization #convex-optimization #semidefinite-programming #linear-matrix-inequality #spectral-norm
469
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Non Negative Linear Least Squares with Order Constraint

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#optimization #manifolds #convex-optimization #nonlinear-optimization #least-squares
32
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What type of programming is this problem?

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#optimization #convex-optimization #linear-programming
237
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Can we use KKT condition to derive the dual of an optimization function given that Slater's condition holds?

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#real-analysis #optimization #convex-analysis #convex-optimization
2.1k
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Maximizing positive components in solution vector of linear programming problem

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#optimization #convex-optimization #linear-programming
1.2k
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Maximum of the sum of two functions.

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#optimization #convex-optimization #nonlinear-optimization
614
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How to derive the general form of Moreau Decomposition?

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#real-analysis #convex-analysis #convex-optimization
2k
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Convexity check sub- / superlevel sets

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#convex-analysis #convex-optimization
2k
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When is a linear program feasible but not optimal?

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#optimization #convex-optimization #linear-programming
202
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A closed planar convex cone has at most a finite number of extreme vectors

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#convex-analysis #convex-optimization #convex-geometry #convex-hulls #convex-cone
79
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Minimizing An Expression with Binomial Terms

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#combinatorics #convex-analysis #convex-optimization #probabilistic-method
242
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Is KKT condition always sufficient for optimality?

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#real-analysis #convex-analysis #convex-optimization
2.6k
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What is the difference between line search and gradient descent?

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#optimization #convex-optimization #gradient-descent #conjugate-gradient

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