Question

transpose appearing for the chain rule in the matrix form

score 2.2k · Answer 1 · 2018-08-03 20:46:09

2.2k

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transpose appearing for the chain rule in the matrix form

Published on 03 Aug 2018 - 20:46

score 300 · Answer 2 · 2018-08-04 21:02:26

300

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Which function on $\mathbf{X}$ has gradient $\mathbf{A} \mathbf{A}^\top \mathbf{X}(\mathbf{X}^\top \mathbf{X})^{-1} $?

Published on 04 Aug 2018 - 21:02

score 1k · Answer 3 · 2018-08-08 20:44:06

1k

Views

Analytical solution to an optimization problem

Published on 08 Aug 2018 - 20:44

score 386 · Answer 4 · 2026-03-20 03:11:35

386

Views

Derivative of quadratic form involving inverse of matrix-valued function of a scalar: $\frac{\partial}{\partial \gamma} y^T V^{-1}(\gamma) y$

Published on 20 Mar 2026 - 3:11

score 906 · Answer 5 · 2026-03-25 02:56:34

906

Views

Computing Neural Network Gradients

Published on 25 Mar 2026 - 2:56

score 975 · Answer 6 · 2026-03-24 23:45:10

975

Views

Derivative of von Neumann entropy

Published on 24 Mar 2026 - 23:45

score 483 · Answer 7 · 2018-08-10 13:16:20

483

Views

Laurent series of matrix function

Published on 10 Aug 2018 - 13:16

score 90 · Answer 8 · 2018-08-10 16:06:40

90

Views

Proving identity for matrix elements

Published on 10 Aug 2018 - 16:06

score 340 · Answer 9 · 2018-08-14 03:39:07

340

Views

Does the $\sum_{k}$ remain after differentiating $log(\frac{\sum_{k}W_{ik}H_{kj}}{const.})$ wrt $H_{kj}$? and why?

Published on 14 Aug 2018 - 3:39

score 261 · Answer 10 · 2018-08-14 09:19:39

261

Views

Differentiate $\sum_{ij}[\sum_{k}\log \frac{W_{ik}H_{kj}}{\alpha} + \sum_{k}W_{ik}H_{kj}] + \sum_{kj}[\frac{\beta}{2} \vert H_{kj} \vert^{2}] = 0$

Published on 14 Aug 2018 - 9:19

score 71 · Answer 11 · 2018-08-16 07:45:26

71

Views

Where am I going wrong in solving $\frac{\partial}{\partial \mathbf w}(\mathbf y - \mathbf X\mathbf w)^T(\mathbf y - \mathbf X \mathbf w) = 0$?

Published on 16 Aug 2018 - 7:45

score 87 · Answer 12 · 2018-08-16 12:57:22

87

Views

Matrix calculus with complex

Published on 16 Aug 2018 - 12:57

score 168 · Answer 13 · 2018-08-16 13:27:46

168

Views

Why complex gradient of $g(z) = \kappa + a^z + z^b + z^* C z$ is $\frac{\partial g(z) }{\partial z^*} = b + C z$

Published on 16 Aug 2018 - 13:27

score 501 · Answer 14 · 2026-03-25 11:02:42

501

Views

Derivate of vector : transpose, conjugate and conjugate transpose

Published on 25 Mar 2026 - 11:02

score 396 · Answer 15 · 2026-03-24 20:42:38

396

Views

A matrix inequality involving trace norm of a matrix and its inverse

Published on 24 Mar 2026 - 20:42

List Question

transpose appearing for the chain rule in the matrix form

Which function on $\mathbf{X}$ has gradient $\mathbf{A} \mathbf{A}^\top \mathbf{X}(\mathbf{X}^\top \mathbf{X})^{-1} $?

Analytical solution to an optimization problem

Derivative of quadratic form involving inverse of matrix-valued function of a scalar: $\frac{\partial}{\partial \gamma} y^T V^{-1}(\gamma) y$

Computing Neural Network Gradients

Derivative of von Neumann entropy

Laurent series of matrix function

Proving identity for matrix elements

Does the $\sum_{k}$ remain after differentiating $log(\frac{\sum_{k}W_{ik}H_{kj}}{const.})$ wrt $H_{kj}$? and why?

Differentiate $\sum_{ij}[\sum_{k}\log \frac{W_{ik}H_{kj}}{\alpha} + \sum_{k}W_{ik}H_{kj}] + \sum_{kj}[\frac{\beta}{2} \vert H_{kj} \vert^{2}] = 0$

Where am I going wrong in solving $\frac{\partial}{\partial \mathbf w}(\mathbf y - \mathbf X\mathbf w)^T(\mathbf y - \mathbf X \mathbf w) = 0$?

Matrix calculus with complex

Why complex gradient of $g(z) = \kappa + a^z + z^b + z^* C z$ is $\frac{\partial g(z) }{\partial z^*} = b + C z$

Derivate of vector : transpose, conjugate and conjugate transpose

A matrix inequality involving trace norm of a matrix and its inverse

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