Question

Gradient of $(x,y) \mapsto y^\top A(x) y$

score 87 · Answer 1 · 2023-05-12 15:32:28

87

Views

Gradient of $(x,y) \mapsto y^\top A(x) y$

Published on 12 May 2023 - 15:32

score 143 · Answer 2 · 2023-05-14 12:46:11

143

Views

Derivative of $\frac{\partial f(X^{\top}X)}{\partial X}$

Published on 14 May 2023 - 12:46

score 24 · Answer 3 · 2023-05-15 11:58:07

24

Views

Find the constants $a,b,c$ such that the directional derivative is maximum on the direction of $\vec{u}$

Published on 15 May 2023 - 11:58

score 144 · Answer 4 · 2023-05-17 03:02:55

144

Views

Gradient of ${\bf z} \mapsto- \frac12 \operatorname{tr} \left( {\bf A} \left( {\bf Y} - {\bf x} {\bf z}^\top \right) {\bf B} ( \cdot )^\top \right)$

Published on 17 May 2023 - 3:02

score 219 · Answer 5 · 2023-05-17 17:17:38

219

Views

Second order derivative of $f(x):=\frac{1}{2} ⟨x,Ax⟩$

Published on 17 May 2023 - 17:17

score 188 · Answer 6 · 2023-05-30 17:35:22

188

Views

What is the Hessian of $x \mapsto\log \det \left( A^T A + R^T \operatorname{diag}(x)^{-1} R \right)$?

Published on 30 May 2023 - 17:35

score 87 · Answer 7 · 2023-07-01 12:09:29

87

Views

Gradients of $(u, v) \mapsto \frac12 \left\| A - u v^T \right\|_{\text{F}}^2$ via the chain rule

Published on 01 Jul 2023 - 12:09

score 133 · Answer 8 · 2023-07-14 11:08:44

133

Views

Find the derivative of a diagonal matrix and norm

Published on 14 Jul 2023 - 11:08

score 94 · Answer 9 · 2023-07-19 07:49:59

94

Views

Can we classify all functions whose gradient is an eigenvector of the Hessian?

Published on 19 Jul 2023 - 7:49

score 103 · Answer 10 · 2023-07-21 16:07:40

103

Views

Differentiation matrix notation

Published on 21 Jul 2023 - 16:07

score 118 · Answer 11 · 2023-08-04 16:00:08

118

Views

On the $\log \det$ of identity matrix plus a symmetric positive definite matrix

Published on 04 Aug 2023 - 16:00

score 164 · Answer 12 · 2023-08-16 11:58:29

164

Views

Prove that $\vec{\nabla} r^n = n r^{n-2} \vec{\tilde{r}}$

Published on 16 Aug 2023 - 11:58

score 69 · Answer 13 · 2023-08-31 13:13:20

69

Views

Understanding why $\underline{\nabla} \phi = (\underline{\nabla} f) \frac{d \phi}{df}$

Published on 31 Aug 2023 - 13:13

score 81 · Answer 14 · 2026-02-23 16:47:22

81

Views

Tensor fields and scalar function pullbacks

Published on 23 Feb 2026 - 16:47

score 43 · Answer 15 · 2023-09-12 12:38:50

43

Views

The function is $F(x,y,z) = x^2y^2z$. Curve C is the intersection of the surfaces $z=2-x^2-y^2$ and $z=\sqrt{(x^2+y^2)}$. Calculate $\oint F ds$.

Published on 12 Sep 2023 - 12:38

List Question

Gradient of $(x,y) \mapsto y^\top A(x) y$

Derivative of $\frac{\partial f(X^{\top}X)}{\partial X}$

Find the constants $a,b,c$ such that the directional derivative is maximum on the direction of $\vec{u}$

Gradient of ${\bf z} \mapsto- \frac12 \operatorname{tr} \left( {\bf A} \left( {\bf Y} - {\bf x} {\bf z}^\top \right) {\bf B} ( \cdot )^\top \right)$

Second order derivative of $f(x):=\frac{1}{2} ⟨x,Ax⟩$

What is the Hessian of $x \mapsto\log \det \left( A^T A + R^T \operatorname{diag}(x)^{-1} R \right)$?

Gradients of $(u, v) \mapsto \frac12 \left\| A - u v^T \right\|_{\text{F}}^2$ via the chain rule

Find the derivative of a diagonal matrix and norm

Can we classify all functions whose gradient is an eigenvector of the Hessian?

Differentiation matrix notation

On the $\log \det$ of identity matrix plus a symmetric positive definite matrix

Prove that $\vec{\nabla} r^n = n r^{n-2} \vec{\tilde{r}}$

Understanding why $\underline{\nabla} \phi = (\underline{\nabla} f) \frac{d \phi}{df}$

Tensor fields and scalar function pullbacks

The function is $F(x,y,z) = x^2y^2z$. Curve C is the intersection of the surfaces $z=2-x^2-y^2$ and $z=\sqrt{(x^2+y^2)}$. Calculate $\oint F ds$.

Trending Questions

Popular # Hahtags

Popular Questions