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import numpy as np
from sklearn.datasets import load_iris
data = load_iris()
X = data.data # 1. Load data (first 4 features), transpose
K, m, e, i = 3, 2, 1e-5, 10 # 2. clusters, fuzziness, error, iterations
c = X[:, np.random.choice(X.shape[1], K, 0)] # 3. Randomly init cluster centers
for _ in range(i): # 4. Repeat update steps
d = np.linalg.norm(X[:, :, None]-c[:, None], axis=0) + 1e-9 # 5. Distance matrix
u = 1 / d**(2/(m-1)) # 6. Compute membership (unnormalized)
u = u / u.sum(1, keepdims=1) # 7. Normalize memberships
c = (X @ (u**m)) / (u**m).sum(0) # 8. Update cluster centers
labels = u.argmax(1) # 9. Final cluster labels
print(labels, sum(d[n, labels[n]] for n in range(len(labels)))) #10. Labels + performance
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