List questions from convex-optimization

Published on 09 Apr 2026 - 6:40

51

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Equivalent optimization problem over simplex

Published on 09 Apr 2026 - 1:10

15

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Is $L(c_1, c_2) = \sum_{t=1}^{T} \min\{(y_t-c_1)^2, (y_t-c_2)^2\}$ convex and continuous?

Published on 26 Apr 2023 - 23:29

67

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Whether $g(y) = \min\limits_{x} f(x, y)$ is convex under some conditions

Published on 27 Apr 2023 - 1:51

124

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Optimal solution to the primal and the Lagrangian dual when there is duality gap

Published on 27 Mar 2026 - 7:19

100

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Gradient of convex functions

Published on 28 Mar 2026 - 7:57

89

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Given convexity, $\lim_{\|x\| \xrightarrow{} \infty} f(x) = \infty$ is equivalent to $\liminf_{\|x\|\xrightarrow{} \infty} \frac{f(x)}{\|x\|} > 0$?

Published on 27 Apr 2023 - 20:46

68

Views

Minimize $\max_i \|(XR^T)_{:,i}\|_2$ over rotation matrices $R$

Published on 27 Mar 2026 - 16:47

108

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Quadratic optimization with FFT

Published on 05 Apr 2026 - 23:49

101

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Minimizing $\sum_{k=1}^n (a_k x_k^2 + b_k |x_k-x_{k-1}|)$

Published on 01 Apr 2026 - 11:04

73

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Definition of a dual program to a feasibility problem

Published on 25 Mar 2026 - 15:59

37

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Convexity of set of mixture distributions

Published on 28 Mar 2026 - 5:22

38

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Listing vs. counting perfect matchings in a graph

Published on 26 Mar 2026 - 4:31

48

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How to represent distance to a nonempty, closed, convex set via the support function?

Published on 11 Apr 2026 - 9:11

44

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How to describe Support Vector Machine formula onto the Quadratic Programming objective function?

Published on 10 Apr 2026 - 7:38

List Question

Express as either LP, QP, QCQP or SOCP

Equivalent optimization problem over simplex

Is $L(c_1, c_2) = \sum_{t=1}^{T} \min\{(y_t-c_1)^2, (y_t-c_2)^2\}$ convex and continuous?

Whether $g(y) = \min\limits_{x} f(x, y)$ is convex under some conditions

Optimal solution to the primal and the Lagrangian dual when there is duality gap

Gradient of convex functions

Given convexity, $\lim_{\|x\| \xrightarrow{} \infty} f(x) = \infty$ is equivalent to $\liminf_{\|x\|\xrightarrow{} \infty} \frac{f(x)}{\|x\|} > 0$?

Minimize $\max_i \|(XR^T)_{:,i}\|_2$ over rotation matrices $R$

Quadratic optimization with FFT

Minimizing $\sum_{k=1}^n (a_k x_k^2 + b_k |x_k-x_{k-1}|)$

Definition of a dual program to a feasibility problem

Convexity of set of mixture distributions

Listing vs. counting perfect matchings in a graph

How to represent distance to a nonempty, closed, convex set via the support function?

How to describe Support Vector Machine formula onto the Quadratic Programming objective function?

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