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Image of a continuous function over a convex set is convex in $\mathbb{R}\to\mathbb{R}$

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#calculus #optimization #convex-optimization
68
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An integral-formula multivariate Talyor's theorem for twice differentiable function

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#optimization #taylor-expansion #convex-optimization #nonlinear-optimization
43
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Why are piecewise linear functions semismooth?

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#optimization #convex-optimization #non-smooth-optimization
62
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Linear programming constraint involving maximum

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#optimization #convex-optimization #linear-programming #mathematical-modeling #integer-programming
33
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Techniques on how to stochastic optimize.

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#optimization #stochastic-processes #convex-analysis #convex-optimization #stochastic-analysis
43
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Efficiently calculating the inverse of a matrix $A+D$, where $A^{-1}$ is known and D is diagonal with few non-zero points

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#linear-algebra #convex-optimization #computational-complexity
33
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Decomposing a matrix with unit sphere constraints

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#linear-algebra #convex-optimization #matrix-decomposition #spheres #svd
59
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algorithm guaranteed to converge for convex function

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#optimization #convex-analysis #convex-optimization #computational-mathematics #newton-raphson
39
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Confused about lower semicontinuous functions

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#optimization #continuity #convex-analysis #convex-optimization #semicontinuous-functions
22
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Functions that behave like subgradients of a convex potential

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#convex-analysis #convex-optimization
30
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When can the complement of a hyperplane be convex?

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#convex-analysis #convex-optimization
31
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Convexity of a family of functions

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#real-analysis #convex-analysis #convex-optimization #gamma-function
41
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Why are convex operations on negative L2 norm not convex

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#convex-analysis #convex-optimization
74
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If $A$ is a symmetric positive definite matrix, show that $f(x) = x^TAx$ is convex.

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#convex-optimization #quadratics #positive-definite
42
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Are there practical problems in optimization where its dual problem is computationally easier to solve?

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#optimization #convex-analysis #convex-optimization #nonlinear-optimization #non-convex-optimization

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