Replace MarginalModel by model transforms

Author: ricardoV94

README.md

@@ -26,10 +26,9 @@ import pymc as pm
 import pymc_extras as pmx
 
 with pm.Model():
+  alpha = pmx.ParabolicFractal('alpha', b=1, c=1)
 
-    alpha = pmx.ParabolicFractal('alpha', b=1, c=1)
-
-    ...
+  ...
 
 ```
 

docs/api_reference.rst

@@ -12,8 +12,8 @@ methods in the current release of PyMC experimental.
    :toctree: generated/
 
    as_model
-   MarginalModel
    marginalize
+   recover_marginals
    model_builder.ModelBuilder
 
 Inference
@@ -53,6 +53,7 @@ Utils
 
    spline.bspline_interpolation
    prior.prior_from_idata
+   model_equivalence.equivalent_models
 
 
 Statespace Models

pymc_extras/__init__.py

@@ -16,7 +16,11 @@
 from pymc_extras import gp, statespace, utils
 from pymc_extras.distributions import *
 from pymc_extras.inference.fit import fit
-from pymc_extras.model.marginal.marginal_model import MarginalModel, marginalize
+from pymc_extras.model.marginal.marginal_model import (
+    MarginalModel,
+    marginalize,
+    recover_marginals,
+)
 from pymc_extras.model.model_api import as_model
 from pymc_extras.version import __version__
 

pymc_extras/distributions/timeseries.py

@@ -214,8 +214,8 @@ def transition(*args):
         discrete_mc_op = DiscreteMarkovChainRV(
             inputs=[P_, steps_, init_dist_, state_rng],
             outputs=[state_next_rng, discrete_mc_],
-            ndim_supp=1,
             n_lags=n_lags,
+            extended_signature="(p,p),(),(p),[rng]->[rng],(t)",
         )
 
         discrete_mc = discrete_mc_op(P, steps, init_dist, state_rng)

pymc_extras/model/marginal/distributions.py

@@ -1,29 +1,41 @@
+import warnings
+
 from collections.abc import Sequence
 
 import numpy as np
 import pytensor.tensor as pt
 
 from pymc.distributions import Bernoulli, Categorical, DiscreteUniform
+from pymc.distributions.distribution import _support_point, support_point
 from pymc.logprob.abstract import MeasurableOp, _logprob
 from pymc.logprob.basic import conditional_logp, logp
 from pymc.pytensorf import constant_fold
 from pytensor import Variable
 from pytensor.compile.builders import OpFromGraph
 from pytensor.compile.mode import Mode
-from pytensor.graph import Op, vectorize_graph
+from pytensor.graph import FunctionGraph, Op, vectorize_graph
+from pytensor.graph.basic import equal_computations
 from pytensor.graph.replace import clone_replace, graph_replace
 from pytensor.scan import map as scan_map
 from pytensor.scan import scan
 from pytensor.tensor import TensorVariable
+from pytensor.tensor.random.type import RandomType
 
 from pymc_extras.distributions import DiscreteMarkovChain
 
 
 class MarginalRV(OpFromGraph, MeasurableOp):
     """Base class for Marginalized RVs"""
 
-    def __init__(self, *args, dims_connections: tuple[tuple[int | None]], **kwargs) -> None:
+    def __init__(
+        self,
+        *args,
+        dims_connections: tuple[tuple[int | None], ...],
+        dims: tuple[Variable, ...],
+        **kwargs,
+    ) -> None:
         self.dims_connections = dims_connections
+        self.dims = dims
         super().__init__(*args, **kwargs)
 
     @property
@@ -43,6 +55,74 @@ def support_axes(self) -> tuple[tuple[int]]:
             )
         return tuple(support_axes_vars)
 
+    def __eq__(self, other):
+        # Just to allow easy testing of equivalent models,
+        # This can be removed once https://github.com/pymc-devs/pytensor/issues/1114 is fixed
+        if type(self) is not type(other):
+            return False
+
+        return equal_computations(
+            self.inner_outputs,
+            other.inner_outputs,
+            self.inner_inputs,
+            other.inner_inputs,
+        )
+
+    def __hash__(self):
+        # Just to allow easy testing of equivalent models,
+        # This can be removed once https://github.com/pymc-devs/pytensor/issues/1114 is fixed
+        return hash((type(self), len(self.inner_inputs), len(self.inner_outputs)))
+
+
+@_support_point.register
+def support_point_marginal_rv(op: MarginalRV, rv, *inputs):
+    """Support point for a marginalized RV.
+
+    The support point of a marginalized RV is the support point of the inner RV,
+    conditioned on the marginalized RV taking its support point.
+    """
+    outputs = rv.owner.outputs
+
+    inner_rv = op.inner_outputs[outputs.index(rv)]
+    marginalized_inner_rv, *other_dependent_inner_rvs = (
+        out
+        for out in op.inner_outputs
+        if out is not inner_rv and not isinstance(out.type, RandomType)
+    )
+
+    # Replace references to inner rvs by the dummy variables (including the marginalized RV)
+    # This is necessary because the inner RVs may depend on each other
+    marginalized_inner_rv_dummy = marginalized_inner_rv.clone()
+    other_dependent_inner_rv_to_dummies = {
+        inner_rv: inner_rv.clone() for inner_rv in other_dependent_inner_rvs
+    }
+    inner_rv = clone_replace(
+        inner_rv,
+        replace={marginalized_inner_rv: marginalized_inner_rv_dummy}
+        | other_dependent_inner_rv_to_dummies,
+    )
+
+    # Get support point of inner RV and marginalized RV
+    inner_rv_support_point = support_point(inner_rv)
+    marginalized_inner_rv_support_point = support_point(marginalized_inner_rv)
+
+    replacements = [
+        # Replace the marginalized RV dummy by its support point
+        (marginalized_inner_rv_dummy, marginalized_inner_rv_support_point),
+        # Replace other dependent RVs dummies by the respective outer outputs.
+        # PyMC will replace them by their support points later
+        *(
+            (v, outputs[op.inner_outputs.index(k)])
+            for k, v in other_dependent_inner_rv_to_dummies.items()
+        ),
+        # Replace outer input RVs
+        *zip(op.inner_inputs, inputs),
+    ]
+    fgraph = FunctionGraph(outputs=[inner_rv_support_point], clone=False)
+    fgraph.replace_all(replacements, import_missing=True)
+    [rv_support_point] = fgraph.outputs
+    return rv_support_point
+
 
 class MarginalFiniteDiscreteRV(MarginalRV):
     """Base class for Marginalized Finite Discrete RVs"""
@@ -132,12 +212,27 @@ def inline_ofg_outputs(op: OpFromGraph, inputs: Sequence[Variable]) -> tuple[Var
     Whereas `OpFromGraph` "wraps" a graph inside a single Op, this function "unwraps"
     the inner graph.
     """
-    return clone_replace(
+    return graph_replace(
         op.inner_outputs,
         replace=tuple(zip(op.inner_inputs, inputs)),
+        strict=False,
     )
 
 
+class NonSeparableLogpWarning(UserWarning):
+    pass
+
+
+def warn_non_separable_logp(values):
+    if len(values) > 1:
+        warnings.warn(
+            "There are multiple dependent variables in a FiniteDiscreteMarginalRV. "
+            f"Their joint logp terms will be assigned to the first value: {values[0]}.",
+            NonSeparableLogpWarning,
+            stacklevel=2,
+        )
+
+
 DUMMY_ZERO = pt.constant(0, name="dummy_zero")
 
 
@@ -199,6 +294,7 @@ def logp_fn(marginalized_rv_const, *non_sequences):
     # Align logp with non-collapsed batch dimensions of first RV
     joint_logp = align_logp_dims(dims=op.dims_connections[0], logp=joint_logp)
 
+    warn_non_separable_logp(values)
     # We have to add dummy logps for the remaining value variables, otherwise PyMC will raise
     dummy_logps = (DUMMY_ZERO,) * (len(values) - 1)
     return joint_logp, *dummy_logps
@@ -272,5 +368,6 @@ def step_alpha(logp_emission, log_alpha, log_P):
 
     # If there are multiple emission streams, we have to add dummy logps for the remaining value variables. The first
     # return is the joint probability of everything together, but PyMC still expects one logp for each emission stream.
+    warn_non_separable_logp(values)
     dummy_logps = (DUMMY_ZERO,) * (len(values) - 1)
     return joint_logp, *dummy_logps

pymc_extras/model/marginal/graph_analysis.py

@@ -4,8 +4,8 @@
 from itertools import zip_longest
 
 from pymc import SymbolicRandomVariable
-from pytensor.compile import SharedVariable
-from pytensor.graph import Constant, Variable, ancestors
+from pymc.model.fgraph import ModelVar
+from pytensor.graph import Variable, ancestors
 from pytensor.graph.basic import io_toposort
 from pytensor.tensor import TensorType, TensorVariable
 from pytensor.tensor.blockwise import Blockwise
@@ -35,13 +35,9 @@ def static_shape_ancestors(vars):
 
 def find_conditional_input_rvs(output_rvs, all_rvs):
     """Find conditionally indepedent input RVs."""
-    blockers = [other_rv for other_rv in all_rvs if other_rv not in output_rvs]
-    blockers += static_shape_ancestors(tuple(all_rvs) + tuple(output_rvs))
-    return [
-        var
-        for var in ancestors(output_rvs, blockers=blockers)
-        if var in blockers or (var.owner is None and not isinstance(var, Constant | SharedVariable))
-    ]
+    other_rvs = [other_rv for other_rv in all_rvs if other_rv not in output_rvs]
+    blockers = other_rvs + static_shape_ancestors(tuple(all_rvs) + tuple(output_rvs))
+    return [var for var in ancestors(output_rvs, blockers=blockers) if var in other_rvs]
 
 
 def is_conditional_dependent(
@@ -141,6 +137,9 @@ def _subgraph_batch_dim_connection(var_dims: VAR_DIMS, input_vars, output_vars)
             # None of the inputs are related to the batch_axes of the input_vars
             continue
 
+        elif isinstance(node.op, ModelVar):
+            var_dims[node.outputs[0]] = inputs_dims[0]
+
         elif isinstance(node.op, DimShuffle):
             [input_dims] = inputs_dims
             output_dims = tuple(None if i == "x" else input_dims[i] for i in node.op.new_order)