Hello,
I do not understand the question 10 of the exam 2020. I do not get why convolution is a linear mapping between R^d and R^d (is this particular to this specific case?) But then w1 belongs to R^K, and x belongs to R^d. so w1*x belongs to what? And how this convolution can be represented by a matrix vector product? What do you mean by a circulant matrix?
Thank you for your help I am quite lost on this question… !
Question 10 exam 2020
Hello,
I do not understand the question 10 of the exam 2020. I do not get why convolution is a linear mapping between R^d and R^d (is this particular to this specific case?) But then w1 belongs to R^K, and x belongs to R^d. so w1*x belongs to what? And how this convolution can be represented by a matrix vector product? What do you mean by a circulant matrix?
Thank you for your help I am quite lost on this question… !
Have a look here:
https://atcold.github.io/pytorch-Deep-Learning/en/week04/04-1/
under the section "Property: stationarity".
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