List questions from matrix-calculus

Published on 25 Mar 2026 - 12:20

174

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Optimizing linear combination of matrices and vectors

Published on 27 Jan 2019 - 0:24

528

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Gradient of a matrix expression

Published on 25 Mar 2026 - 20:41

34

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Clarification: Gradient and Hessian of $g(x) = \sum_i g_i(x_i)$; $x = [x_1,\ldots,x_N]^T \in \mathbb{R}^N$

Published on 28 Jan 2019 - 18:20

529

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Gradient of matrix valued function

Published on 29 Jan 2019 - 0:51

660

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Fisher Matrix and Hessian matrix

Published on 27 Mar 2026 - 5:58

362

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Vector Space as the set of solutions of matrix equation $AX=O$

Published on 29 Jan 2019 - 18:56

29

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Going from matrix form to summation for calculating the derivative

Published on 31 Jan 2019 - 8:53

1.5k

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Gradient and Hessian of $\sum_i \log \left(1 + \exp\left\{ -t_i \left(w^T x_i\right)\right\} \right) + \mu \|w \|_2^2$?

Published on 03 Feb 2019 - 18:31

186

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Minimization of a Linear Function with Restrictions

Published on 03 Feb 2019 - 21:00

217

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Find the derivative of $f(\beta) = (\vec{y} -X\beta)^T(\vec{y} -X\beta)$ using the product rule

Published on 03 Feb 2019 - 22:28

1k

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Derivative of $\mathbf{XX}^T$ with respect to $\mathbf{X}$

Published on 04 Feb 2019 - 4:09

69

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How to prove that $\langle P,A^2 \rangle \le 0 $ for every positive $P$ and skew-symmetric $A$?

Published on 25 Mar 2026 - 22:05

59

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Derivative of autoencoder

Published on 27 Mar 2026 - 4:34

78

Views

How far from a matrix the rank does not decrease?

Published on 23 Feb 2026 - 6:26

List Question

Differentiation of the determinant of the Jacobian

Optimizing linear combination of matrices and vectors

Gradient of a matrix expression

Clarification: Gradient and Hessian of $g(x) = \sum_i g_i(x_i)$; $x = [x_1,\ldots,x_N]^T \in \mathbb{R}^N$

Gradient of matrix valued function

Fisher Matrix and Hessian matrix

Vector Space as the set of solutions of matrix equation $AX=O$

Going from matrix form to summation for calculating the derivative

Gradient and Hessian of $\sum_i \log \left(1 + \exp\left\{ -t_i \left(w^T x_i\right)\right\} \right) + \mu \|w \|_2^2$?

Minimization of a Linear Function with Restrictions

Find the derivative of $f(\beta) = (\vec{y} -X\beta)^T(\vec{y} -X\beta)$ using the product rule

Derivative of $\mathbf{XX}^T$ with respect to $\mathbf{X}$

How to prove that $\langle P,A^2 \rangle \le 0 $ for every positive $P$ and skew-symmetric $A$?

Derivative of autoencoder

How far from a matrix the rank does not decrease?

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