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How to explain the dual constraints for the non-convex QP example?

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#optimization #convex-analysis #convex-optimization
64
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Any points contained in a origin symmetric convex body necessarily have their coordinates bounded by the boundary?

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#functional-analysis #convex-analysis
2.5k
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Alternative proof that conditioning reduces entropy

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#statistics #convex-analysis #information-theory
249
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Why $K$ is solid if its reproducing?

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#convex-analysis #convex-cone #nonnegative-matrices
90
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Is this $f(x)$ convex?

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#convex-analysis
203
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How to find a affine function$\ \leq \ $convex function?

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#convex-analysis
55
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How to show that $X \ast Y$ is convex?

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#linear-algebra #convex-analysis
117
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Projection on compact submanifolds

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#convex-analysis #hilbert-spaces #compact-manifolds
97
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Do we have an integration version of Weyl's inequality?

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#inequality #convex-analysis #integral-inequality
78
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The convex function $f$ is differentiable at $a$ if and only if for every $n$ there exists $a_n>0$ such that $|f(a+a_n)+f(a−a_n)−2f(a)|<\frac{a_n}{n}$

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#real-analysis #convex-analysis
54
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Method Alternating Projections Smoothness

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#real-analysis #convex-analysis
726
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Estimating Lipchitz constant for functions with Lipschitz continuous gradient

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#convex-analysis #convex-optimization #nonlinear-optimization #machine-learning #lipschitz-functions
653
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Hyperplane and convexity

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#linear-algebra #convex-analysis #compactness #convex-geometry
235
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True or False, subgradient proximal mapping of $f = $ gradient $g$

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#analysis #optimization #convex-analysis #convex-optimization
102
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Mid-point convexity and convexity

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#convex-analysis #convexity-inequality

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