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#!/usr/bin/python3 | |
import numpy as np | |
# calculate min after calculating all dists | |
def update1(data, labels): | |
sizes = np.bincount(labels) | |
n_label = sizes.shape[0] | |
n_data = data.shape[0] | |
dim = data.shape[1] | |
centroids = np.zeros((n_label, dim)) | |
for label, size in enumerate(sizes): | |
centroids[label] = np.sum(data[labels == label], axis=0) / size | |
dist = np.zeros((n_data, n_label)) | |
for i, point in enumerate(data): | |
for j, centroid in enumerate(centroids): | |
dist[i][j] = np.linalg.norm(point - centroid) | |
return np.argmin(dist, axis=1) | |
# calculate min just after calculating each dist | |
def update2(data, old_labels): | |
labels = np.array(old_labels, copy=True) | |
n_label = np.max(labels) + 1 | |
n_data = data.shape[0] | |
dim = data.shape[1] | |
for i, point in enumerate(data): | |
n_elem = (labels == 0).sum() | |
centroid = np.sum(data[labels == 0], axis=0) / n_elem | |
min_dist = np.linalg.norm(point - centroid) | |
labels[i] = 0 | |
for label in range(n_label - 1): | |
n_elem = (labels == label + 1).sum() | |
if n_elem == 0: | |
continue | |
centroid = np.sum(data[labels == label + 1], axis=0) / n_elem | |
tmp_dist = np.linalg.norm(point - centroid) | |
if tmp_dist < min_dist: | |
min_dist = tmp_dist | |
labels[i] = label + 1 | |
return labels | |
if __name__ == '__main__': | |
data = np.array([ | |
[2.0, 3.0], | |
[0.0, 0.0], | |
[0.0, 2.0], | |
[3.0, 2.0], | |
[3.0, 0.0] | |
]) | |
labels = np.array([1, 0, 0, 0, 0]) | |
print(0, labels) | |
for n in range(10): | |
new_labels = update1(data, labels) | |
# new_labels = update2(data, labels) | |
print(n+1, new_labels) | |
if np.array_equal(labels, new_labels): | |
print("INFO: converge in {} times".format(n)) | |
break | |
labels = new_labels |
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