norm of differences of variables in cvxpy
How can I take the following norm in cvxpy
sum(norm(x[i] - x[j], p=2), i=1, j>i, i, j = n)
where x
is (n, 2)
variable matrix defined by x = cp.Variable((n, 2))
. For the problem, I am taking n=16. The following is the code I am trying to completely
import numpy as np
import cvxpy as cp
def solver(pts, var, lmb):
objective = cp.Minimize(cp.norm(pts - var, 2) + cp.norm(var, 2))
prob = cp.Problem(objective)
prob.solve()
print(prob.value)
return np.round(var.value, 2)
pts = np.array([(-2, 3), (-3, 5), (-1, 4), (-3, 7) , (0, 3),
(-2, -2), (-3, 8), (3, 1), (1, -2), (2, 6),
(-2, 6), (-2, 5), (-4, 3), (-4, 6), (-3, 10),
(2, -3)])
n = pts.shape[0]
var = cp.Variable((n, 2))
solver(pts, var, 1)
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