Question

Is there a closed-form analytical solution to: Maximize $y^T (X \beta) $ s.t. $(X \beta)^T (X \beta) = y^T y$.

score 81 · Answer 1 · 2026-04-16 14:41:00

81

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Is there a closed-form analytical solution to: Maximize $y^T (X \beta) $ s.t. $(X \beta)^T (X \beta) = y^T y$.

Published on 16 Apr 2026 - 14:41

score 60 · Answer 2 · 2026-04-11 20:33:27

60

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Question on matrix over matrix derivation

Published on 11 Apr 2026 - 20:33

score 31 · Answer 3 · 2026-04-11 20:46:24

31

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"Gap" between the $x_i$ when it comes to maximizing $x^TAx$ over simplex for blockwise matrix?

Published on 11 Apr 2026 - 20:46

score 66 · Answer 4 · 2026-04-17 07:04:50

66

Views

$\min_{\small X} \left\| X - Y\right\|_{2}^{2} + \left\| DX \right\|_{2}^{2}$

Published on 17 Apr 2026 - 7:04

score 51 · Answer 5 · 2026-04-14 02:15:09

51

Views

Taking the derivative of a scalar function of an augmented vector with respect to a matrix

Published on 14 Apr 2026 - 2:15

score 153 · Answer 6 · 2026-04-13 19:06:52

153

Views

Prove a Matrix Property

Published on 13 Apr 2026 - 19:06

score 46 · Answer 7 · 2026-04-12 18:51:39

46

Views

In a mathematical formula with “ max ” sign, how can I take the derivative and make the derivative zero to obtain the local minimum of the variable?

Published on 12 Apr 2026 - 18:51

score 125 · Answer 8 · 2026-04-13 03:33:00

125

Views

What's the derivative of an inner product with respect to the inner product matrix?

Published on 13 Apr 2026 - 3:33

score 59 · Answer 9 · 2026-04-12 08:43:55

59

Views

Are there non-diagonal matrices in $\operatorname{SL}_2$ closest to $\sigma \operatorname{Id}$?

Published on 12 Apr 2026 - 8:43

score 38 · Answer 10 · 2026-04-10 16:14:52

38

Views

Equivalence of two-norm between a matrix and its absolute form

Published on 10 Apr 2026 - 16:14

score 189 · Answer 11 · 2026-04-16 02:49:15

189

Views

For matrix-valued functions, does $\frac d {dt} \exp(A(t)) = A'(t)\exp(A(t))$ imply $A'(t)A(t)=A(t)A'(t)$?

Published on 16 Apr 2026 - 2:49

score 68 · Answer 12 · 2026-04-11 12:12:43

68

Views

How can apply coördinate descent method on the finding least norm solution of a linear system?

Published on 11 Apr 2026 - 12:12

score 144 · Answer 13 · 2026-03-25 19:03:33

144

Views

Gradient of the trace distance (Schatten $1$-norm)

Published on 25 Mar 2026 - 19:03

score 62 · Answer 14 · 2026-04-11 09:48:09

62

Views

Maximization on trace of quadratic and linear terms under orthonormal constraints

Published on 11 Apr 2026 - 9:48

score 97 · Answer 15 · 2026-04-17 02:00:29

97

Views

Inverse of $UAA^TU^T$

Published on 17 Apr 2026 - 2:00

List Question

Is there a closed-form analytical solution to: Maximize $y^T (X \beta) $ s.t. $(X \beta)^T (X \beta) = y^T y$.

Question on matrix over matrix derivation

"Gap" between the $x_i$ when it comes to maximizing $x^TAx$ over simplex for blockwise matrix?

$\min_{\small X} \left\| X - Y\right\|_{2}^{2} + \left\| DX \right\|_{2}^{2}$

Taking the derivative of a scalar function of an augmented vector with respect to a matrix

Prove a Matrix Property

In a mathematical formula with “ max ” sign, how can I take the derivative and make the derivative zero to obtain the local minimum of the variable?

What's the derivative of an inner product with respect to the inner product matrix?

Are there non-diagonal matrices in $\operatorname{SL}_2$ closest to $\sigma \operatorname{Id}$?

Equivalence of two-norm between a matrix and its absolute form

For matrix-valued functions, does $\frac d {dt} \exp(A(t)) = A'(t)\exp(A(t))$ imply $A'(t)A(t)=A(t)A'(t)$?

How can apply coördinate descent method on the finding least norm solution of a linear system?

Gradient of the trace distance (Schatten $1$-norm)

Maximization on trace of quadratic and linear terms under orthonormal constraints

Inverse of $UAA^TU^T$

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