Question

Why $\frac{\partial}{\partial W} tr[WHH^TW^T] = 2WHH^T$

score 75 · Answer 1 · 2026-04-16 14:53:50

75

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Why $\frac{\partial}{\partial W} tr[WHH^TW^T] = 2WHH^T$

Published on 16 Apr 2026 - 14:53

score 214 · Answer 2 · 2026-04-16 04:11:13

214

Views

Show that if a matrix is differentiable then so is its inverse

Published on 16 Apr 2026 - 4:11

score 125 · Answer 3 · 2026-04-15 07:12:58

125

Views

How to find $\nabla_{vec(A)} |A|$ where $|A|$ is the determinant of $A$ and $vec(\cdot)$ is the vectorization operator.

Published on 15 Apr 2026 - 7:12

score 194 · Answer 4 · 2026-04-16 06:00:22

194

Views

Derivative of squared frobenius norm of hadamard product of outer product of vector with itself and matrix w.r.t. vector

Published on 16 Apr 2026 - 6:00

score 472 · Answer 5 · 2026-04-15 14:16:49

472

Views

Derivative of a diagonal matrix with respect to a vector whose entries appear in the matrix

Published on 15 Apr 2026 - 14:16

score 1.1k · Answer 6 · 2026-04-11 21:13:10

1.1k

Views

Derivative of symmetric matrix with respect to its elements?

Published on 11 Apr 2026 - 21:13

score 268 · Answer 7 · 2026-04-16 08:44:32

268

Views

Clean/simple way of computing $\nabla f(U U^\mathsf{T})$ with respect to $U$

Published on 16 Apr 2026 - 8:44

score 52 · Answer 8 · 2026-04-11 12:10:15

52

Views

Help understanding vector-by-vector differentiation identity

Published on 11 Apr 2026 - 12:10

score 42 · Answer 9 · 2026-04-13 19:37:14

42

Views

Show that A is a positive definite symmetric matrix using Gersghorin's circles

Published on 13 Apr 2026 - 19:37

score 596 · Answer 10 · 2026-04-14 13:52:31

596

Views

What is the gradient of $x^T A\, x$ with respect to the matrix $A$?

Published on 14 Apr 2026 - 13:52

score 96 · Answer 11 · 2026-04-12 20:05:40

96

Views

Upper bound of the largest eigenvalue of $DAAD$.

Published on 12 Apr 2026 - 20:05

score 223 · Answer 12 · 2026-04-15 23:57:08

223

Views

Matrix differentiation, $x^T A x$ w.r.t $A$

Published on 15 Apr 2026 - 23:57

score 112 · Answer 13 · 2026-03-25 09:23:45

112

Views

Calculate perturbed eigenvector components of sub-stochastic (PF) matrix

Published on 25 Mar 2026 - 9:23

score 222 · Answer 14 · 2026-04-12 20:59:51

222

Views

Examples where chain rule does not apply for scalar-by-matrix derivatives?

Published on 12 Apr 2026 - 20:59

score 25 · Answer 15 · 2026-04-15 23:34:33

25

Views

Invertible matrix sum

Published on 15 Apr 2026 - 23:34

List Question

Why $\frac{\partial}{\partial W} tr[WHH^TW^T] = 2WHH^T$

Show that if a matrix is differentiable then so is its inverse

How to find $\nabla_{vec(A)} |A|$ where $|A|$ is the determinant of $A$ and $vec(\cdot)$ is the vectorization operator.

Derivative of squared frobenius norm of hadamard product of outer product of vector with itself and matrix w.r.t. vector

Derivative of a diagonal matrix with respect to a vector whose entries appear in the matrix

Derivative of symmetric matrix with respect to its elements?

Clean/simple way of computing $\nabla f(U U^\mathsf{T})$ with respect to $U$

Help understanding vector-by-vector differentiation identity

Show that A is a positive definite symmetric matrix using Gersghorin's circles

What is the gradient of $x^T A\, x$ with respect to the matrix $A$?

Upper bound of the largest eigenvalue of $DAAD$.

Matrix differentiation, $x^T A x$ w.r.t $A$

Calculate perturbed eigenvector components of sub-stochastic (PF) matrix

Examples where chain rule does not apply for scalar-by-matrix derivatives?

Invertible matrix sum

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