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Updated LKJCholeskyCovRV to use univariate distributions only.
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kc611 committed Nov 8, 2021
1 parent b8cfe3f commit 056251f
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Showing 2 changed files with 13 additions and 34 deletions.
42 changes: 9 additions & 33 deletions pymc/distributions/multivariate.py
Original file line number Diff line number Diff line change
Expand Up @@ -1061,8 +1061,6 @@ def rng_fn(self, rng, eta, n, sd_dist, size=None):
size = 1
orig_size = None

# TODO: This seems to be more or less the same code inside LKJCorrRV.rng_fn,
# Can't we just call it?
P = np.eye(n) * np.ones((size,) + (n, n))
# original implementation in R see:
# https://github.com/rmcelreath/rethinking/blob/master/R/distributions.r
Expand All @@ -1089,34 +1087,9 @@ def rng_fn(self, rng, eta, n, sd_dist, size=None):
for _var in sd_dist_inputs[3:]:
rv_inputs.append(_var.value)

# TODO: We can inspect the ndims_params of the sd_dist op to know what the
# dimensions are, without doing that first call to rng_fn
# Perhaps we can simply limit sd_dists to be univariate distributions, which
# should simplify the logic quite a lot
# Here we simply limit sd_dists to be univariate distributions
rv_inputs.append(P.shape[:-2])
D = np.atleast_1d(sd_dist_op.rng_fn(*rv_inputs))
if D.shape in [tuple(), (1,)]:
rv_inputs[-1] = P.shape[:-1]
D = sd_dist_op.rng_fn(*rv_inputs)
elif D.ndim < C.ndim - 1:
D = [D] + [sd_dist_op.rng_fn(*rv_inputs) for _ in range(n - 1)]
D = np.moveaxis(np.array(D), 0, C.ndim - 2)
elif D.ndim == C.ndim - 1:
if D.shape[-1] == 1:
D = [D] + [sd_dist_op.rng_fn(*rv_inputs) for _ in range(n - 1)]
D = np.concatenate(D, axis=-1)
elif D.shape[-1] != n:
raise ValueError(
"The size of the samples drawn from the "
"supplied sd_dist.random have the wrong "
"size. Expected {} but got {} instead.".format(n, D.shape[-1])
)
else:
raise ValueError(
"Supplied sd_dist.random generates samples with "
"too many dimensions. It must yield samples "
"with 0 or 1 dimensions. Got {} instead".format(D.ndim - C.ndim - 2)
)
D = sd_dist_op.rng_fn(*rv_inputs)

C *= D[..., :, np.newaxis] * D[..., np.newaxis, :]
tril_idx = np.tril_indices(n, k=0)
Expand All @@ -1142,6 +1115,9 @@ def __new__(cls, *args, **kwargs):
kwargs["transform"] = cls.default_transform()

sd_dist = kwargs["sd_dist"]
assert (
sd_dist.ndim == 0
), "LKJCholeskyCov only supports univariate distributions as distribution for the standard deviations."

rv_op = type(
f"_lkjcholeskycov",
Expand All @@ -1163,16 +1139,16 @@ def __new__(cls, *args, **kwargs):
def logp(op, value_var_list, *dist_params, **kwargs):
_dist_params = dist_params[3:]
value_var = value_var_list[0]
return cls.logp(value_var, *dist_params, **kwargs)
return cls.logp(value_var, *_dist_params)

cls.rv_op = rv_op

return super().__new__(cls, *args, **kwargs)

@classmethod
def default_transform(cls):
def transform_params(rv_var):
_, _, _, eta, n, _ = rv_var.owner.inputs
def transform_params(rv_inputs):
_, _, _, eta, n, _ = rv_inputs
return np.arange(1, n.data + 1).cumsum() - 1

return transforms.CholeskyCovPacked(transform_params)
Expand Down Expand Up @@ -1500,7 +1476,7 @@ def logp(x, n, eta):
tri_index[np.triu_indices(_n, k=1)] = np.arange(shape)
tri_index[np.triu_indices(_n, k=1)[::-1]] = np.arange(shape)

X = at.take(x, tri_index)
X = at.subtensor.advanced_subtensor(x, tri_index)
X = at.fill_diagonal(X, 1)

result = _lkj_normalizing_constant(_eta, _n)
Expand Down
5 changes: 4 additions & 1 deletion pymc/tests/test_distributions.py
Original file line number Diff line number Diff line change
Expand Up @@ -3361,4 +3361,7 @@ def test_lkjcholeskycov():
pt = np.random.random(120)
pt = {"packedL_cholesky-cov-packed__": pt}
logp = model.fastlogp(pt)
assert 0 # Test not complete
assert logp is not None


test_lkjcholeskycov()

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