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#PCA without Scikit-Learn | |
X_centered = X - X.mean(axis=0) | |
U, s, Vt = np.linalg.svd(X_centered) | |
c1 = Vt.T[:, 0] | |
c2 = Vt.T[:, 1] | |
m, n = X.shape | |
S = np.zeros(X_centered.shape) | |
S[:n, :n] = np.diag(s) | |
np.allclose(X_centered, U.dot(S).dot(Vt)) | |
W2 = Vt.T[:, :2] | |
X2D = X_centered.dot(W2) | |
print(X2D) |
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