I want to compare the elements of the array of two variables and use the larger value as the new variable.

[HIROJAPAN]

Is it possible to apply two convolution filters to the variable X, compare the elements of the two arrays, and choose the larger value?　And can ProximaL solve the problem?

[antonysigma]

If I understand your question, are you trying to compute the "L_p,q norm" of the signal?

Image a = conv(A, x)
Image b = conv(B, x)

Problem = group_norm(vstack(reshape_to_row_vector(a), reshape_to_row_vector(b)), p = 'Infinity', q = 2).

Yes you can express this problem with ProxImaL, but you will have to implement your own proximal function for L_p,q. Also, deferring to @SteveDiamond regarding the convexity of such problem.

For general convex optimization problems, I also suggest you post the questions on https://github.com/cvxpy/cvxpy . They have a larger community.

[SteveDiamond]

This could also be implemented as an elementwise maximum of a and b. This is convex and would be pretty easy to add.