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Ratio of volumes of $n$-dimensional unit balls

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#geometry #euclidean-geometry #convex-optimization
1.2k
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How to deal with extended real valued functions in optimization?

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#functions #optimization #convex-analysis #definition #convex-optimization
61
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Convexity of $11$-dimensional function without Hessian

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#functions #convex-analysis #convex-optimization
239
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KKT example nonlinear programming

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#convex-optimization #nonlinear-optimization #karush-kuhn-tucker
50
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N Variable Constrained Minimization Problem

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#optimization #convex-optimization
64
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Arbitrary oriented minimum volume cube, touching a convex set of points by all faces

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#geometry #convex-analysis #analytic-geometry #convex-optimization #change-of-basis
523
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Does two-stage stochastic programming involve 2 decision variables?

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#optimization #convex-optimization #linear-programming #numerical-optimization #stochastic-approximation
168
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Bounding below the decrease obtained with gradient descent

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#multivariable-calculus #convex-optimization
35
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Analytical solution to optimize absolute f(x)

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#optimization #convex-optimization #quadratics #nonlinear-optimization
109
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Transforming a nearest matrix optimization problem to a standard form

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#optimization #convex-optimization #semidefinite-programming
1.3k
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Optimization of the sum of a convex and a non-convex function?

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#convex-analysis #convex-optimization #positive-definite #positive-semidefinite #non-convex-optimization
1.4k
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Computing the subgradient of an indicator function or the normal cone of a set

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#convex-analysis #convex-optimization #convex-geometry
741
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If the gradient of the logistic loss is never zero, does that mean the minimum can never be achieved?

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#convergence-divergence #optimization #convex-optimization #machine-learning #gradient-descent
1.3k
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The dual function g is concave, even when the initial problem is not convex?

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#real-analysis #convex-analysis #convex-optimization
2.7k
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How does one show that the likelihood solution for logistic regression has a magnitude of infinity for separable data (Bishop exercise 4.14)?

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#optimization #convex-optimization #machine-learning #gradient-descent #logistic-regression

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