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Dual vectors and subgradients

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#optimization #convex-analysis #convex-optimization #subgradient
362
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When is the sum of a non-convex function with a quadratic function convex?

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#convex-analysis
224
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Show smoothness of boundary of convex set.

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#geometry #differential-geometry #metric-spaces #convex-analysis #manifolds
165
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Concave inequality, beyond Karamata's inequality

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#inequality #convex-analysis
50
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Prove $\{x \in \mathbb{R}:a\leq x\leq b\}=\{y\in \mathbb{R}:\exists s,t\in [0,1]\; with\; s+t=1\; and\; y=sa+tb\}$

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#elementary-set-theory #proof-verification #convex-analysis
49
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Projection on a closed convex in a Banach space, without inner product.

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#convex-analysis #banach-spaces #inner-products #projection
206
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Linear image of a dual cone

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#linear-transformations #convex-analysis #dual-cone
62
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How to understand closed, convex sets whose points do not have common support?

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#linear-algebra #reference-request #convex-analysis
108
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Fenchel transform of a indicator function

Published on
#analysis #convex-analysis
78
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Is $f(x,y)=y\left(2^{\frac{x}{y}}-1\right)$ a strictly convex function when $x\ge0,y\ge0$?

Published on
#convex-analysis
129
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Quadratic bound on twice Frechet differentiable functions

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#functional-analysis #optimization #convex-analysis
46
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Separation of subsets of $\mathbb{R}^n$ with the graph of a convex function

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#calculus #convex-analysis #convex-geometry
1.3k
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Convexity of the Root of a Sum of Quadratic Forms

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#convex-analysis #quadratic-forms
288
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Convexity of an awful function involving a quotient of gamma functions and expected value

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#stochastic-processes #convex-analysis
74
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An inequality relation of convex decreasing function

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#convex-analysis #convex-optimization #convex-geometry

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