371 lines
12 KiB
Python
371 lines
12 KiB
Python
# Copyright (c) 2023 PaddlePaddle Authors. All Rights Reserved.
|
|
#
|
|
# Licensed under the Apache License, Version 2.0 (the "License");
|
|
# you may not use this file except in compliance with the License.
|
|
# You may obtain a copy of the License at
|
|
#
|
|
# http://www.apache.org/licenses/LICENSE-2.0
|
|
#
|
|
# Unless required by applicable law or agreed to in writing, software
|
|
# distributed under the License is distributed on an "AS IS" BASIS,
|
|
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
# See the License for the specific language governing permissions and
|
|
# limitations under the License.
|
|
|
|
import numbers
|
|
import unittest
|
|
|
|
import numpy as np
|
|
import parameterize
|
|
import scipy.stats
|
|
from distribution import config
|
|
|
|
import paddle
|
|
from paddle.distribution import exponential, kl
|
|
|
|
np.random.seed(2023)
|
|
paddle.seed(2023)
|
|
|
|
|
|
@parameterize.place(config.DEVICES)
|
|
@parameterize.parameterize_cls(
|
|
(parameterize.TEST_CASE_NAME, 'rate'),
|
|
[
|
|
(
|
|
'0-dim',
|
|
0.5,
|
|
),
|
|
(
|
|
'one-dim',
|
|
parameterize.xrand(
|
|
(4,),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
),
|
|
(
|
|
'multi-dim',
|
|
parameterize.xrand(
|
|
(10, 12),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
),
|
|
],
|
|
)
|
|
class TestExponential(unittest.TestCase):
|
|
def setUp(self):
|
|
rate = self.rate
|
|
if not isinstance(self.rate, numbers.Real):
|
|
rate = paddle.to_tensor(self.rate, dtype=paddle.float32)
|
|
|
|
self.scale = 1 / rate
|
|
self._paddle_expon = exponential.Exponential(rate)
|
|
|
|
def test_mean(self):
|
|
with paddle.base.dygraph.guard(self.place):
|
|
np.testing.assert_allclose(
|
|
self._paddle_expon.mean,
|
|
scipy.stats.expon.mean(scale=self.scale),
|
|
rtol=config.RTOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
atol=config.ATOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
)
|
|
|
|
def test_variance(self):
|
|
with paddle.base.dygraph.guard(self.place):
|
|
np.testing.assert_allclose(
|
|
self._paddle_expon.variance,
|
|
scipy.stats.expon.var(scale=self.scale),
|
|
rtol=config.RTOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
atol=config.ATOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
)
|
|
|
|
def test_prob(self):
|
|
value = np.random.rand(*self._paddle_expon.rate.shape)
|
|
with paddle.base.dygraph.guard(self.place):
|
|
np.testing.assert_allclose(
|
|
self._paddle_expon.prob(paddle.to_tensor(value)),
|
|
scipy.stats.expon.pdf(value, scale=self.scale),
|
|
rtol=config.RTOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
atol=config.ATOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
)
|
|
|
|
def test_cdf(self):
|
|
value = np.random.rand(*self._paddle_expon.rate.shape)
|
|
with paddle.base.dygraph.guard(self.place):
|
|
np.testing.assert_allclose(
|
|
self._paddle_expon.cdf(paddle.to_tensor(value)),
|
|
scipy.stats.expon.cdf(value, scale=self.scale),
|
|
rtol=config.RTOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
atol=config.ATOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
)
|
|
|
|
def test_icdf(self):
|
|
value = np.random.rand(*self._paddle_expon.rate.shape)
|
|
with paddle.base.dygraph.guard(self.place):
|
|
np.testing.assert_allclose(
|
|
self._paddle_expon.icdf(paddle.to_tensor(value)),
|
|
scipy.stats.expon.ppf(value, scale=self.scale),
|
|
rtol=config.RTOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
atol=config.ATOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
)
|
|
|
|
def test_entropy(self):
|
|
with paddle.base.dygraph.guard(self.place):
|
|
np.testing.assert_allclose(
|
|
self._paddle_expon.entropy(),
|
|
scipy.stats.expon.entropy(scale=self.scale),
|
|
rtol=config.RTOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
atol=config.ATOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
)
|
|
|
|
|
|
@parameterize.place(config.DEVICES)
|
|
@parameterize.parameterize_cls(
|
|
(parameterize.TEST_CASE_NAME, 'rate'),
|
|
[
|
|
(
|
|
'one-dim',
|
|
parameterize.xrand(
|
|
(2,),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
),
|
|
(
|
|
'multi-dim',
|
|
parameterize.xrand(
|
|
(2, 3),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
),
|
|
],
|
|
)
|
|
class TestExponentialSample(unittest.TestCase):
|
|
def setUp(self):
|
|
rate = self.rate
|
|
if not isinstance(self.rate, numbers.Real):
|
|
rate = paddle.to_tensor(self.rate, dtype=paddle.float32)
|
|
|
|
self.scale = 1 / rate
|
|
self._paddle_expon = exponential.Exponential(rate)
|
|
|
|
def test_sample_shape(self):
|
|
cases = [
|
|
{
|
|
'input': (),
|
|
'expect': tuple(paddle.squeeze(self._paddle_expon.rate).shape),
|
|
},
|
|
{
|
|
'input': (3, 2),
|
|
'expect': (
|
|
3,
|
|
2,
|
|
*paddle.squeeze(self._paddle_expon.rate).shape,
|
|
),
|
|
},
|
|
]
|
|
for case in cases:
|
|
self.assertTrue(
|
|
tuple(self._paddle_expon.sample(case.get('input')).shape)
|
|
== case.get('expect')
|
|
)
|
|
|
|
def test_sample(self):
|
|
sample_shape = (20000,)
|
|
samples = self._paddle_expon.sample(sample_shape)
|
|
sample_values = samples.numpy()
|
|
self.assertEqual(sample_values.dtype, self.rate.dtype)
|
|
|
|
np.testing.assert_allclose(
|
|
sample_values.mean(axis=0),
|
|
scipy.stats.expon.mean(scale=self.scale),
|
|
rtol=0.1,
|
|
atol=config.ATOL.get(str(self._paddle_expon.rate.numpy().dtype)),
|
|
)
|
|
np.testing.assert_allclose(
|
|
sample_values.var(axis=0),
|
|
scipy.stats.expon.var(scale=self.scale),
|
|
rtol=0.1,
|
|
atol=config.ATOL.get(str(self._paddle_expon.rate.numpy().dtype)),
|
|
)
|
|
|
|
def test_rsample_shape(self):
|
|
cases = [
|
|
{
|
|
'input': (),
|
|
'expect': tuple(paddle.squeeze(self._paddle_expon.rate).shape),
|
|
},
|
|
{
|
|
'input': (2, 5),
|
|
'expect': (
|
|
2,
|
|
5,
|
|
*paddle.squeeze(self._paddle_expon.rate).shape,
|
|
),
|
|
},
|
|
]
|
|
for case in cases:
|
|
self.assertTrue(
|
|
tuple(self._paddle_expon.rsample(case.get('input')).shape)
|
|
== case.get('expect')
|
|
)
|
|
|
|
def test_rsample(self):
|
|
sample_shape = (20000,)
|
|
samples = self._paddle_expon.rsample(sample_shape)
|
|
sample_values = samples.numpy()
|
|
self.assertEqual(sample_values.dtype, self.rate.dtype)
|
|
|
|
np.testing.assert_allclose(
|
|
sample_values.mean(axis=0),
|
|
scipy.stats.expon.mean(scale=self.scale),
|
|
rtol=0.1,
|
|
atol=config.ATOL.get(str(self._paddle_expon.rate.numpy().dtype)),
|
|
)
|
|
np.testing.assert_allclose(
|
|
sample_values.var(axis=0),
|
|
scipy.stats.expon.var(scale=self.scale),
|
|
rtol=0.1,
|
|
atol=config.ATOL.get(str(self._paddle_expon.rate.numpy().dtype)),
|
|
)
|
|
|
|
def test_rsample_backpropagation(self):
|
|
sample_shape = (1000, 2)
|
|
with paddle.base.dygraph.guard(self.place):
|
|
self._paddle_expon.rate.stop_gradient = False
|
|
samples = self._paddle_expon.rsample(sample_shape)
|
|
grads = paddle.grad([samples], [self._paddle_expon.rate])
|
|
self.assertEqual(len(grads), 1)
|
|
self.assertEqual(grads[0].dtype, self._paddle_expon.rate.dtype)
|
|
self.assertEqual(grads[0].shape, self._paddle_expon.rate.shape)
|
|
axis = list(range(len(sample_shape)))
|
|
np.testing.assert_allclose(
|
|
-samples.sum(axis) / self._paddle_expon.rate,
|
|
grads[0],
|
|
rtol=config.RTOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
atol=config.ATOL.get(
|
|
str(self._paddle_expon.rate.numpy().dtype)
|
|
),
|
|
)
|
|
|
|
|
|
@parameterize.place(config.DEVICES)
|
|
@parameterize.parameterize_cls(
|
|
(parameterize.TEST_CASE_NAME, 'rate'),
|
|
[
|
|
('0-dim', 0.4),
|
|
],
|
|
)
|
|
class TestExponentialSampleKS(unittest.TestCase):
|
|
def setUp(self):
|
|
rate = paddle.to_tensor(self.rate, dtype=paddle.float32)
|
|
self.scale = rate.reciprocal()
|
|
self._paddle_expon = exponential.Exponential(rate)
|
|
|
|
def test_sample_ks(self):
|
|
sample_shape = (10000,)
|
|
samples = self._paddle_expon.sample(sample_shape)
|
|
self.assertTrue(self._kstest(samples))
|
|
|
|
def test_rsample_ks(self):
|
|
sample_shape = (10000,)
|
|
samples = self._paddle_expon.rsample(sample_shape)
|
|
self.assertTrue(self._kstest(samples))
|
|
|
|
def _kstest(self, samples):
|
|
# Uses the Kolmogorov-Smirnov test for goodness of fit.
|
|
ks, _ = scipy.stats.kstest(
|
|
samples, scipy.stats.expon(scale=self.scale).cdf
|
|
)
|
|
return ks < 0.02
|
|
|
|
|
|
@parameterize.place(config.DEVICES)
|
|
@parameterize.parameterize_cls(
|
|
(parameterize.TEST_CASE_NAME, 'rate1', 'rate2'),
|
|
[
|
|
(
|
|
'one-dim',
|
|
parameterize.xrand(
|
|
(2,),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
parameterize.xrand(
|
|
(2,),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
),
|
|
(
|
|
'multi-dim',
|
|
parameterize.xrand(
|
|
(2, 3),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
parameterize.xrand(
|
|
(2, 3),
|
|
dtype='float32',
|
|
min=np.finfo(dtype='float32').tiny,
|
|
),
|
|
),
|
|
],
|
|
)
|
|
class TestExponentialKL(unittest.TestCase):
|
|
def setUp(self):
|
|
self._expon1 = exponential.Exponential(paddle.to_tensor(self.rate1))
|
|
self._expon2 = exponential.Exponential(paddle.to_tensor(self.rate2))
|
|
|
|
def test_kl_divergence(self):
|
|
np.testing.assert_allclose(
|
|
kl.kl_divergence(self._expon1, self._expon2),
|
|
self._kl(),
|
|
rtol=config.RTOL.get(str(self._expon1.rate.numpy().dtype)),
|
|
atol=config.ATOL.get(str(self._expon1.rate.numpy().dtype)),
|
|
)
|
|
|
|
def test_kl1_error(self):
|
|
self.assertRaises(
|
|
TypeError,
|
|
self._expon1.kl_divergence,
|
|
paddle.distribution.beta.Beta,
|
|
)
|
|
|
|
def _kl(self):
|
|
rate_ratio = self.rate2 / self.rate1
|
|
t1 = -np.log(rate_ratio)
|
|
return t1 + rate_ratio - 1
|
|
|
|
|
|
if __name__ == '__main__':
|
|
unittest.main()
|