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2026-07-13 13:30:25 +08:00

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Python
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import unittest
import numpy as np
from prml import nn
class TestDirichlet(unittest.TestCase):
def test_dirichlet(self):
np.random.seed(1234)
obs = np.random.choice(3, 100, p=[0.2, 0.3, 0.5])
obs = np.eye(3)[obs]
a = nn.Parameter(np.zeros(3))
for _ in range(100):
a.cleargrad()
mu = nn.softmax(a)
d = nn.random.Dirichlet(np.ones(3) * 10, data=mu)
x = nn.random.Categorical(mu, data=obs)
log_posterior = x.log_pdf().sum() + d.log_pdf().sum()
log_posterior.backward()
a.value += 0.01 * a.grad
count = np.sum(obs, 0) + 10
p = count / count.sum(keepdims=True)
self.assertTrue(np.allclose(p, mu.value, 1e-2, 1e-2))
if __name__ == '__main__':
unittest.main()