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Matrix Differentation w.r.t. a Vector

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#matrix-calculus
36
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Trying to vectorize a matrix derivative expression without resorting to a Hadamard product

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#multivariable-calculus #matrix-equations #matrix-calculus
34
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Does there exist an transform that allow me to solve arbitrary linear real valued differential equation by solving upper triangular matrix ODEs?

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#ordinary-differential-equations #numerical-methods #linear-transformations #matrix-calculus #matrix-decomposition
186
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Matrix integral involving trace and determinant

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#integration #matrix-equations #matrix-calculus #positive-definite
81
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Proving differentiability and calculating the differential of $A \mapsto A^2$

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#matrices #derivatives #matrix-calculus
176
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Given a Jacobian, can we calculate the corresponding vector field?

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#real-analysis #functions #matrix-calculus #jacobian
1.2k
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second order derivative of the loss function of logistic regression

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#matrix-calculus #newton-raphson #regularization
71
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$\underset{K}{\text{minimize}} ( (K\circ P)\mathbf{1}_m - T)^\intercal ((K\circ P)\mathbf{1}_m - T)$ with equality constraint

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#linear-algebra #optimization #matrix-calculus
241
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Taking derivative with respect to a diagonal matrix

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#linear-algebra #matrices #matrix-calculus
84
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How to compute integrals with matrix arguments.

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#integration #matrices #matrix-calculus
6.5k
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Gradient of norm

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#matrices #multivariable-calculus #derivatives #vector-analysis #matrix-calculus
57
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If I know the ODE of a PSD matrix, how can I find the ODE of its square root matrix?

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#ordinary-differential-equations #matrix-calculus #matrix-decomposition #positive-semidefinite
1.8k
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Calculating derivatives with respect to a weight matrix

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#matrix-calculus #machine-learning #neural-networks
386
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How is the integral over real symmetric positive definite matrices defined?

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#integration #multivariable-calculus #matrix-calculus #positive-definite
230
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Matrix divided by its Euclidean norm $\frac{x}{\|x\|_{2}}$

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#normed-spaces #matrix-calculus

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