Derivative Hadamard Product
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
1 Attachment
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 386 views
- $58.00
Related Questions
- Matrices Linear transformation
- Find $a,b,c$ so that $\begin{bmatrix} 0 & 1& 0 \\ 0 & 0 & 1\\ a & b & c \end{bmatrix} $ has the characteristic polynomial $-\lambda^3+4\lambda^2+5\lambda+6=0$
- Prove that $\int_{-\infty}^{\infty}\frac{\cos ax}{x^4+1}dx=\frac{\pi}{2}e^{-\frac{a}{\sqrt{2}}}(\cos \frac{a}{\sqrt{2}}+\sin \frac{a}{\sqrt{2}} )$
- Calculating the residues at the poles of $f(z) = \frac{\tan(z) }{z^2 + z +1} $
- Matrices Problem
- Advanced Modeling Scenario
- If A is an nxn matrix, then A has n distinct eigenvalues.True or false?
- Frontal solver by Bruce Irons? Am I using the right Algorithm here?
What do you mean with the derivative wrt W?
I did d some research and it seems to me that there is no commonly accepted definition. Please provide one.
The term is part of the backpropagation of my neural network. I need to calculate this derivative to update my weights in the neural network. Hope this helps.
The hadamard product is the elemt-wise product of two matrices of the same dimensionality https://en.m.wikipedia.org/wiki/Hadamard_product_(matrices)
One can view the product as a function from R^(|V|\times |d|) to R^(|d|). So the derivative may mean just the matrix of partial derivatives. Do you expect the result to be a a |d| by ( |V|\times |d| ) matrix?
a and b must be row vectors for this product to make sense.
Ideally the result would be in the dimenson of |V|
The preferred notation for a vector is as a column vector, so ideally aW would be written as a^t W , meaning a transpose times W. will keep with the notation you used, so that aW is a row vector times a matrix, but this is not a very common notation.
I will keep with the notation you used, so that aW is a row vector times a matrix, but this is not a very common notation*
I am sorry for any inconvenience with the notation. Of course, a and b would be transposed.