Consider time history=0 as plate (#1443)

* Consider time history=0 as plate

* lint

numpyro/contrib/control_flow/scan.py

@@ -14,6 +14,8 @@
 
 
 def _subs_wrapper(subs_map, i, length, site):
+    if site["type"] != "sample":
+        return
     value = None
     if isinstance(subs_map, dict) and site["name"] in subs_map:
         value = subs_map[site["name"]]

numpyro/contrib/funsor/infer_util.py

@@ -162,7 +162,7 @@ def _enum_log_density(model, model_args, model_kwargs, params, sum_op, prod_op):
     time_to_init_vars = defaultdict(frozenset)  # PP... variables
     time_to_markov_dims = defaultdict(frozenset)  # dimensions at markov sites
     sum_vars, prod_vars = frozenset(), frozenset()
-    history = 1
+    history = 0
     log_measures = {}
     for site in model_trace.values():
         if site["type"] == "sample":
@@ -186,10 +186,14 @@ def _enum_log_density(model, model_args, model_kwargs, params, sum_op, prod_op):
             for dim, name in dim_to_name.items():
                 if name.startswith("_time"):
                     time_dim = funsor.Variable(name, funsor.Bint[log_prob.shape[dim]])
-                    time_to_factors[time_dim].append(log_prob_factor)
                     history = max(
                         history, max(_get_shift(s) for s in dim_to_name.values())
                     )
+                    if history == 0:
+                        log_factors.append(log_prob_factor)
+                        prod_vars |= frozenset({name})
+                    else:
+                        time_to_factors[time_dim].append(log_prob_factor)
                     time_to_init_vars[time_dim] |= frozenset(
                         s for s in dim_to_name.values() if s.startswith("_PREV_")
                     )

test/contrib/test_funsor.py

@@ -8,6 +8,7 @@
 from numpy.testing import assert_allclose
 import pytest
 
+import jax
 from jax import random
 import jax.numpy as jnp
 
@@ -516,6 +517,29 @@ def transition_fn(carry, y):
     assert_allclose(actual_x_curr, expected_x_curr)
 
 
+def test_scan_enum_history_0():
+    def model(ys):
+        z = numpyro.sample("z", dist.Bernoulli(0.2), infer={"enumerate": "parallel"})
+
+        def transition_fn(c, y):
+            numpyro.sample("y", dist.Normal(z, 1), obs=y)
+            return None, None
+
+        scan(transition_fn, None, ys)
+
+    actual, trace = log_density(
+        model=enum(model, first_available_dim=-1),
+        model_args=(jnp.arange(3),),
+        model_kwargs={},
+        params={},
+    )
+    z_factor = trace["z"]["fn"].log_prob(trace["z"]["value"])
+    prev_y_factor = trace["_PREV_y"]["fn"].log_prob(trace["_PREV_y"]["value"])
+    y_factor = trace["y"]["fn"].log_prob(trace["y"]["value"]).sum(0)
+    expected = jax.nn.logsumexp(z_factor + prev_y_factor + y_factor)
+    assert_allclose(actual, expected)
+
+
 def test_missing_plate(monkeypatch):
     K, N = 3, 1000