def testChainIldjWithPlaceholder(self): chain = Chain((Exp(), Exp())) samples = array_ops.placeholder(dtype=np.float32, shape=[None, 10], name="samples") ildj = chain.inverse_log_det_jacobian(samples, event_ndims=0) self.assertTrue(ildj is not None) with self.cached_session(): ildj.eval({samples: np.zeros([2, 10], np.float32)})
def testScalarCongruency(self): with self.cached_session(): chain = Chain((Exp(), Softplus())) assert_scalar_congruency(chain, lower_x=1e-3, upper_x=1.5, rtol=0.05)
def testScalarCongruency(self): with self.test_session(): bijector = Chain((Exp(), Softplus())) assert_scalar_congruency(bijector, lower_x=1e-3, upper_x=1.5, rtol=0.05)
def testScalarCongruency(self): with self.test_session(): bijector = Exp() assert_scalar_congruency(bijector, lower_x=-2., upper_x=1.5, rtol=0.05)
def testBijector(self): with self.test_session(): chain = Chain((Exp(event_ndims=1), Softplus(event_ndims=1))) self.assertEqual("chain_of_exp_of_softplus", chain.name) x = np.asarray([[[1., 2.], [2., 3.]]]) self.assertAllClose(1. + np.exp(x), chain.forward(x).eval()) self.assertAllClose(np.log(x - 1.), chain.inverse(x).eval()) self.assertAllClose(-np.sum(np.log(x - 1.), axis=2), chain.inverse_log_det_jacobian(x).eval()) self.assertAllClose(np.sum(x, axis=2), chain.forward_log_det_jacobian(x).eval())
def testChainAffineExp(self): scale_diag = np.array([1., 2., 3.], dtype=np.float32) chain = Chain([Affine(scale_diag=scale_diag), Exp()]) x = [0., np.log(2., dtype=np.float32), np.log(3., dtype=np.float32)] y = [1., 4., 9.] self.assertAllClose(y, self.evaluate(chain.forward(x))) self.assertAllClose(x, self.evaluate(chain.inverse(y))) self.assertAllClose( np.log(6, dtype=np.float32) + np.sum(x), self.evaluate(chain.forward_log_det_jacobian(x, event_ndims=1))) self.assertAllClose( -np.log(6, dtype=np.float32) - np.sum(x), self.evaluate(chain.inverse_log_det_jacobian(y, event_ndims=1)))
def testBijector(self): with self.test_session(): bijector = Exp(event_ndims=1) self.assertEqual("exp", bijector.name) x = [[[1.], [2.]]] y = np.exp(x) self.assertAllClose(y, bijector.forward(x).eval()) self.assertAllClose(x, bijector.inverse(y).eval()) self.assertAllClose( -np.sum(np.log(y), axis=-1), bijector.inverse_log_det_jacobian(y).eval()) self.assertAllClose(-bijector.inverse_log_det_jacobian(np.exp(x)).eval(), bijector.forward_log_det_jacobian(x).eval())
def testBijector(self): with self.test_session(): bijector = Exp(event_ndims=1) self.assertEqual("exp", bijector.name) x = [[[1.], [2.]]] y = np.exp(x) self.assertAllClose(y, bijector.forward(x).eval()) self.assertAllClose(x, bijector.inverse(y).eval()) self.assertAllClose( -np.sum(np.log(y), axis=-1), bijector.inverse_log_det_jacobian(y).eval()) self.assertAllClose(-bijector.inverse_log_det_jacobian(np.exp(x)).eval(), bijector.forward_log_det_jacobian(x).eval())
def testBijector(self): with self.test_session(): exp = Exp() inline = Inline( forward_fn=math_ops.exp, inverse_fn=math_ops.log, inverse_log_det_jacobian_fn=lambda y: -math_ops.log(y), forward_log_det_jacobian_fn=lambda x: x, forward_min_event_ndims=0, name="exp") self.assertEqual(exp.name, inline.name) x = [[[1., 2.], [3., 4.], [5., 6.]]] y = np.exp(x) self.assertAllClose(y, inline.forward(x).eval()) self.assertAllClose(x, inline.inverse(y).eval()) self.assertAllClose( -np.sum(np.log(y), axis=-1), inline.inverse_log_det_jacobian(y, event_ndims=1).eval()) self.assertAllClose( -inline.inverse_log_det_jacobian(y, event_ndims=1).eval(), inline.forward_log_det_jacobian(x, event_ndims=1).eval())
def testBijector(self): with self.test_session(): exp = Exp(event_ndims=1) inline = Inline( forward_fn=math_ops.exp, inverse_fn=math_ops.log, inverse_log_det_jacobian_fn=( lambda y: -math_ops.reduce_sum( # pylint: disable=g-long-lambda math_ops.log(y), reduction_indices=-1)), forward_log_det_jacobian_fn=( lambda x: math_ops.reduce_sum(x, reduction_indices=-1)), name="exp") self.assertEqual(exp.name, inline.name) x = [[[1., 2.], [3., 4.], [5., 6.]]] y = np.exp(x) self.assertAllClose(y, inline.forward(x).eval()) self.assertAllClose(x, inline.inverse(y).eval()) self.assertAllClose(-np.sum(np.log(y), axis=-1), inline.inverse_log_det_jacobian(y).eval()) self.assertAllClose(-inline.inverse_log_det_jacobian(y).eval(), inline.forward_log_det_jacobian(x).eval())
def testMinEventNdimsChain(self): chain = Chain([Exp(), Exp(), Exp()]) self.assertEqual(0, chain.forward_min_event_ndims) self.assertEqual(0, chain.inverse_min_event_ndims) chain = Chain([Affine(), Affine(), Affine()]) self.assertEqual(1, chain.forward_min_event_ndims) self.assertEqual(1, chain.inverse_min_event_ndims) chain = Chain([Exp(), Affine()]) self.assertEqual(1, chain.forward_min_event_ndims) self.assertEqual(1, chain.inverse_min_event_ndims) chain = Chain([Affine(), Exp()]) self.assertEqual(1, chain.forward_min_event_ndims) self.assertEqual(1, chain.inverse_min_event_ndims) chain = Chain([Affine(), Exp(), Softplus(), Affine()]) self.assertEqual(1, chain.forward_min_event_ndims) self.assertEqual(1, chain.inverse_min_event_ndims)
def quadrature_scheme_lognormal_quantiles(loc, scale, quadrature_size, validate_args=False, name=None): """Use LogNormal quantiles to form quadrature on positive-reals. Args: loc: `float`-like (batch of) scalar `Tensor`; the location parameter of the LogNormal prior. scale: `float`-like (batch of) scalar `Tensor`; the scale parameter of the LogNormal prior. quadrature_size: Python `int` scalar representing the number of quadrature points. validate_args: Python `bool`, default `False`. When `True` distribution parameters are checked for validity despite possibly degrading runtime performance. When `False` invalid inputs may silently render incorrect outputs. name: Python `str` name prefixed to Ops created by this class. Returns: grid: (Batch of) length-`quadrature_size` vectors representing the `log_rate` parameters of a `Poisson`. probs: (Batch of) length-`quadrature_size` vectors representing the weight associate with each `grid` value. """ with ops.name_scope(name, "quadrature_scheme_lognormal_quantiles", [loc, scale]): # Create a LogNormal distribution. dist = transformed_lib.TransformedDistribution( distribution=normal_lib.Normal(loc=loc, scale=scale), bijector=Exp(), validate_args=validate_args) batch_ndims = dist.batch_shape.ndims if batch_ndims is None: batch_ndims = array_ops.shape(dist.batch_shape_tensor())[0] def _compute_quantiles(): """Helper to build quantiles.""" # Omit {0, 1} since they might lead to Inf/NaN. zero = array_ops.zeros([], dtype=dist.dtype) edges = math_ops.linspace(zero, 1., quadrature_size + 3)[1:-1] # Expand edges so its broadcast across batch dims. edges = array_ops.reshape( edges, shape=array_ops.concat( [[-1], array_ops.ones([batch_ndims], dtype=dtypes.int32)], axis=0)) quantiles = dist.quantile(edges) # Cyclically permute left by one. perm = array_ops.concat([math_ops.range(1, 1 + batch_ndims), [0]], axis=0) quantiles = array_ops.transpose(quantiles, perm) return quantiles quantiles = _compute_quantiles() # Compute grid as quantile midpoints. grid = (quantiles[..., :-1] + quantiles[..., 1:]) / 2. # Set shape hints. grid.set_shape(dist.batch_shape.concatenate([quadrature_size])) # By construction probs is constant, i.e., `1 / quadrature_size`. This is # important, because non-constant probs leads to non-reparameterizable # samples. probs = array_ops.fill(dims=[quadrature_size], value=1. / math_ops.cast(quadrature_size, dist.dtype)) return grid, probs
def testBijectiveAndFinite(self): with self.test_session(): bijector = Exp(event_ndims=0) x = np.linspace(-10, 10, num=10).astype(np.float32) y = np.logspace(-10, 10, num=10).astype(np.float32) assert_bijective_and_finite(bijector, x, y)