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Does this lecture note contain an incorrect inequality about convergence of Gradient Descent?

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#inequality #proof-explanation #convex-analysis #convex-optimization #gradient-descent
56
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How to prove $a\ln(1+x_1)+(1-a)\ln(1+x_2)\le \ln(1+x)$ for $a\in(0,1)$ and $x_1+x_2=x$

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#sequences-and-series #convex-optimization #convexity-inequality
2.8k
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is $1/x^2$ a convex function

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#convex-analysis #convex-optimization
36
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Finding shortest calculation of the sum of a subset of a group, given sums for other previously summed subsets

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#optimization #convex-optimization #integer-programming #integer-lattices
1.1k
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The Minimizer of $ {L}_{1} $ Norm for a Set of Vectors

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#linear-algebra #convex-optimization #linear-programming
46
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Resource optimization (combinatorial optimization)

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#optimization #convex-optimization #linear-programming #integer-programming
96
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Jointly strictly convex vs. marginally strictly convex

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#convex-analysis #convex-optimization
69
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Second order conditions for a minimization problem with equality constraints

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#linear-algebra #optimization #convex-analysis #convex-optimization
87
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Why use Primal-dual Methods for Linear Programs

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#optimization #convex-optimization #karush-kuhn-tucker
221
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Alternating projection algorithm fails to find an intersection

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#convex-analysis #convex-optimization
125
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Optimal value of the semi-definite programming and slater's condition

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#optimization #convex-optimization #semidefinite-programming
112
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Strong duality in SDP

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#optimization #convex-optimization #semidefinite-programming
34
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How to check the concavity of the following formula

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#convex-optimization
427
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How can I check if a function is strictly quasi-concave or quasi-concave?

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#convex-analysis #convex-optimization #nonlinear-optimization
225
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Every convex polyhedron has only finitely many vertices

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#convex-optimization #polyhedra

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