diff --git a/sdm/models/base.py b/sdm/models/base.py
index 83d9bc3f5..74df2dabc 100644
--- a/sdm/models/base.py
+++ b/sdm/models/base.py
@@ -189,14 +189,6 @@ def forward(
             **kwargs,
         )
 
-        # Regression: invert target before stacking estimator outputs.
-        if contexts[0].y.numerical.size(-1) > 0:
-            with (
-                torch.amp.autocast(x_query.device.type, enabled=False),
-                inference_mode("grad" if requires_grad else "inference"),
-            ):
-                outs = list(recipe_execution.inverse_transform_target(outs))
-
         with (
             torch.amp.autocast(x_query.device.type, enabled=False),
             inference_mode("grad" if requires_grad else "inference"),
@@ -473,14 +465,6 @@ def predict(
                 transfer_stream.synchronize()
             raise
 
-        # Regression: invert target before stacking estimator outputs.
-        if cast(Cache, self._cache[0])["classes"] is None:
-            with (
-                torch.amp.autocast(x.device.type, enabled=False),
-                inference_mode("grad" if requires_grad else "inference"),
-            ):
-                outs = list(recipe_execution.inverse_transform_target(outs))
-
         with (
             torch.amp.autocast(x.device.type, enabled=False),
             inference_mode("grad" if requires_grad else "inference"),
diff --git a/sdm/models/kumo/tabular/recipe.py b/sdm/models/kumo/tabular/recipe.py
index f20cad1f5..54b360f7c 100644
--- a/sdm/models/kumo/tabular/recipe.py
+++ b/sdm/models/kumo/tabular/recipe.py
@@ -64,6 +64,7 @@ def numerical_processor() -> sp.Sequential:
                 sp.Softmax(),
             ],
             regression=[
+                sp.InvertTarget(),
                 sp.SortQuantiles(),
                 sp.AverageEstimators(trim_fraction=0.2),
             ],
diff --git a/sdm/models/tabfm/recipe.py b/sdm/models/tabfm/recipe.py
index 9ba8a3cca..5214569f5 100644
--- a/sdm/models/tabfm/recipe.py
+++ b/sdm/models/tabfm/recipe.py
@@ -38,6 +38,7 @@ def default_recipe() -> sp.Recipe:  # noqa: D103
             numerical=sp.Standardize(),
         ),
         output=[
+            sp.TaskDispatch(regression=sp.InvertTarget()),
             sp.AverageEstimators(),
             sp.TaskDispatch(
                 classification=sp.Softmax(temperature=0.9),
diff --git a/sdm/models/tabiclv2/recipe.py b/sdm/models/tabiclv2/recipe.py
index 95952efa5..57928ebfa 100644
--- a/sdm/models/tabiclv2/recipe.py
+++ b/sdm/models/tabiclv2/recipe.py
@@ -39,7 +39,9 @@ def default_recipe() -> sp.Recipe:  # noqa: D103
             ),
         ],
         output=[
-            sp.TaskDispatch(regression=sp.SortQuantiles()),
+            sp.TaskDispatch(
+                regression=[sp.InvertTarget(), sp.SortQuantiles()],
+            ),
             sp.AverageEstimators(),
             sp.TaskDispatch(classification=sp.Softmax(temperature=0.9)),
         ],
diff --git a/sdm/processing/__init__.py b/sdm/processing/__init__.py
index ad88657d6..2bf63f5a6 100644
--- a/sdm/processing/__init__.py
+++ b/sdm/processing/__init__.py
@@ -47,7 +47,12 @@
     AddCategoryCounts,
 )
 from sdm.processing.datetime import AddCalendarFields
-from sdm.processing.output import AverageEstimators, Softmax, SortQuantiles
+from sdm.processing.output import (
+    InvertTarget,
+    AverageEstimators,
+    Softmax,
+    SortQuantiles,
+)
 from sdm.processing.recipe import Recipe
 
 __all__ = [
@@ -89,6 +94,7 @@
     "ImputeMode",
     "AddCategoryCounts",
     "AddCalendarFields",
+    "InvertTarget",
     "AverageEstimators",
     "Softmax",
     "SortQuantiles",
diff --git a/sdm/processing/common/ensemble.py b/sdm/processing/common/ensemble.py
index 4f5a2cb5d..77820d21d 100644
--- a/sdm/processing/common/ensemble.py
+++ b/sdm/processing/common/ensemble.py
@@ -24,6 +24,8 @@ class EnsembleProcessorAdapter(EnsembleProcessor, EnsembleInvertibleMixin):
     :class:`~sdm.processing.ensemble.EnsembleProcessor`. It copies and fits the
     processor separately for each group of compatible tables in an
     :class:`~sdm.EnsembleTable`.
+    Stateful processors require the same logical member count for fitting,
+    transformation, and inverse transformation.
 
     The wrapped processor must preserve row and leading dimensions as required
     by the :class:`~sdm.processing.base.Processor` contract. A processor that
@@ -142,6 +144,11 @@ def _aligned_processors(
         self,
         ensemble_table: EnsembleTable,
     ) -> tuple[Processor, ...]:
+        if len(ensemble_table) != len(self._fitted_locations):
+            raise RuntimeError(
+                f"Expected {len(self._fitted_locations)} fitted ensemble "
+                f"members (got {len(ensemble_table)})"
+            )
         if ensemble_table._locations == self._fitted_locations:
             return tuple(self._processors)
 
diff --git a/sdm/processing/execution.py b/sdm/processing/execution.py
index 3f03f4c77..03a7bbc96 100644
--- a/sdm/processing/execution.py
+++ b/sdm/processing/execution.py
@@ -12,7 +12,7 @@
 
 import sdm.processing as sp
 from sdm import EnsembleTable, Recipe, RelatedTables, Stype, TableTensor
-from sdm.processing import EnsembleInvertibleMixin, EnsembleProcessor
+from sdm.processing import EnsembleProcessor
 
 
 class MemberContext(NamedTuple):
@@ -68,6 +68,11 @@ def fit_transform(
 
         self._num_estimators = num_members
         self._y_locations = y._locations
+        for module in self.recipe.output.modules():
+            if isinstance(module, sp.InvertTarget):
+                module._target = self.recipe.target
+                module._locations = y._locations
+                module._ndim = y[0].dim()
 
         task_dispatchers = tuple(
             module
@@ -215,42 +220,6 @@ def transform(
 
         return tuple(members)
 
-    def inverse_transform_target(
-        self,
-        outputs: Sequence[TableTensor],
-    ) -> tuple[TableTensor, ...]:
-        """Invert fitted target transforms on member outputs."""
-        assert len(outputs) == self.num_members
-
-        # Reconstruct the group layout of the transformed target:
-        assert self._y_locations is not None
-        num_groups = max(group for group, _ in self._y_locations) + 1
-        groups: list[list[TableTensor | None]] = [
-            [] for _ in range(num_groups)
-        ]
-        for group_id, _ in self._y_locations:
-            groups[group_id].append(None)
-        for i, (group_id, position) in enumerate(self._y_locations):
-            groups[group_id][position] = outputs[i]
-
-        table = EnsembleTable(
-            groups=[
-                cast(
-                    TableTensor,
-                    group[0].unsqueeze(0)  # type: ignore
-                    if len(group) == 1
-                    else torch.stack(group, dim=0),  # type: ignore
-                )
-                for group in groups
-            ],
-            locations=self._y_locations,
-        )
-
-        if not isinstance(self.recipe.target, EnsembleInvertibleMixin):
-            raise RuntimeError("Target recipe is not invertible")
-        table = self.recipe.target.inverse_transform_ensemble(table)
-        return tuple(table[i] for i in range(len(table)))
-
     def transform_output(
         self,
         outputs: Sequence[TableTensor],
diff --git a/sdm/processing/output/__init__.py b/sdm/processing/output/__init__.py
index 4107e6eab..525dd0cb5 100644
--- a/sdm/processing/output/__init__.py
+++ b/sdm/processing/output/__init__.py
@@ -3,11 +3,13 @@
 
 """Output postprocessing transforms."""
 
+from sdm.processing.output.inverse import InvertTarget
 from sdm.processing.output.reduce import AverageEstimators
 from sdm.processing.output.softmax import Softmax
 from sdm.processing.output.sort import SortQuantiles
 
 __all__ = [
+    "InvertTarget",
     "AverageEstimators",
     "Softmax",
     "SortQuantiles",
diff --git a/sdm/processing/output/inverse.py b/sdm/processing/output/inverse.py
new file mode 100644
index 000000000..50ed7428c
--- /dev/null
+++ b/sdm/processing/output/inverse.py
@@ -0,0 +1,70 @@
+# SPDX-FileCopyrightText: Copyright (c) 2026, NVIDIA CORPORATION & AFFILIATES. All rights reserved.
+# SPDX-License-Identifier: Apache-2.0
+
+from typing import cast
+
+import torch
+
+from sdm import EnsembleTable, Stype, TableTensor
+from sdm.processing import EnsembleInvertibleMixin, EnsembleProcessor
+
+
+class InvertTarget(EnsembleProcessor):
+    """Invert the fitted target pipeline.
+
+    Bound to ``Recipe.target`` during model execution. Member assignments must
+    remain compatible with its fitted state.
+    """
+
+    handles_stypes = frozenset({Stype.numerical})
+    requires_fit = False
+
+    def __init__(self) -> None:
+        super().__init__()
+        self._target: EnsembleProcessor | None = None
+        self._locations: tuple[tuple[int, int], ...] = ()
+        self._ndim = 0
+
+    def _transform(self, table: TableTensor) -> TableTensor:
+        if table.dim() == self._ndim:
+            return self._transform_ensemble(
+                EnsembleTable.from_table(table, num_members=1)
+            )[0]
+
+        outputs = self._transform_ensemble(
+            EnsembleTable(
+                groups=(table,),
+                locations=tuple((0, i) for i in range(table.size(0))),
+            )
+        )
+        if outputs.num_groups == 1:
+            return outputs.expanded_group(0)
+        return cast(
+            TableTensor,
+            torch.stack(tuple(outputs[i] for i in range(len(outputs))), dim=0),
+        )
+
+    def _transform_ensemble(
+        self,
+        ensemble_table: EnsembleTable,
+    ) -> EnsembleTable:
+        if not isinstance(self._target, EnsembleInvertibleMixin):
+            raise RuntimeError("Target recipe is not invertible")
+        if (
+            len(ensemble_table) == len(self._locations)
+            and ensemble_table._locations != self._locations
+        ):
+            # Restore fitted groups without changing logical member order.
+            groups: list[list[TableTensor]] = [
+                [] for _ in range(max(i for i, _ in self._locations) + 1)
+            ]
+            for member_id, (group_id, _) in enumerate(self._locations):
+                groups[group_id].append(ensemble_table[member_id])
+            ensemble_table = EnsembleTable(
+                groups=tuple(
+                    cast(TableTensor, torch.stack(tuple(group), dim=0))
+                    for group in groups
+                ),
+                locations=self._locations,
+            )
+        return self._target.inverse_transform_ensemble(ensemble_table)
diff --git a/sdm/processing/recipe.py b/sdm/processing/recipe.py
index 48754d872..23ca73225 100644
--- a/sdm/processing/recipe.py
+++ b/sdm/processing/recipe.py
@@ -19,11 +19,11 @@ class Recipe:
     relative to the model:
 
     - ``features``: model inputs, transformed before the model.
-    - ``target``: labels transformed forward before the model. Regression
-      predictions are inverted through this pipeline; classification outputs
-      are reconstructed from the fitted target categories instead.
-    - ``output``: transforms member outputs after they have been mapped to a
-      common class or target space and stacked as ``[E, ..., R, O]``. An
+    - ``target``: labels transformed forward before the model. Classification
+      outputs are reconstructed from the fitted target categories.
+    - ``output``: transforms member outputs stacked as ``[E, ..., R, O]``.
+      Include :class:`~sdm.processing.InvertTarget` to restore regression
+      predictions to the original target space at the chosen position. An
       explicit dimension-changing step such as
       :class:`~sdm.processing.AverageEstimators` removes ``E``; without one,
       the output remains stacked. Steps before the reducer must support
@@ -39,7 +39,9 @@ class Recipe:
     Args:
         features: Steps applied to model inputs before model execution.
         target: Steps applied to labels before model execution.
-        output: Steps applied to stacked model outputs.
+        output: Steps applied to stacked model outputs. If ``None``, use
+            :class:`~sdm.processing.Identity`. Target inversion requires an
+            explicit :class:`~sdm.processing.InvertTarget` step.
     """
 
     _features: EnsembleProcessor
diff --git a/test/models/kumo/tabular/test_model.py b/test/models/kumo/tabular/test_model.py
index ca17449f0..552d1e60e 100644
--- a/test/models/kumo/tabular/test_model.py
+++ b/test/models/kumo/tabular/test_model.py
@@ -87,7 +87,10 @@ def _recipe() -> sp.Recipe:
     return sp.Recipe(
         features=[sp.ToNumerical()],
         target=sp.StypeDispatch(numerical=sp.Standardize()),
-        output=[sp.AverageEstimators()],
+        output=[
+            sp.TaskDispatch(regression=sp.InvertTarget()),
+            sp.AverageEstimators(),
+        ],
     )
 
 
diff --git a/test/models/kumo/tabular/test_recipe.py b/test/models/kumo/tabular/test_recipe.py
index a8a455719..ed5ef9b44 100644
--- a/test/models/kumo/tabular/test_recipe.py
+++ b/test/models/kumo/tabular/test_recipe.py
@@ -4,9 +4,9 @@
 import pytest
 import torch
 
-import sdm.processing as sp
 from sdm import CategoricalTensor, EnsembleTable, Stype, TableTensor
 from sdm.models.kumo.tabular import KumoTabular
+from sdm.processing.execution import RecipeExecution
 from sdm.testing import withCUDA
 
 
@@ -130,23 +130,25 @@ def test_default_recipe_adds_category_counts(cardinality: int) -> None:
         )
 
 
-def test_default_recipe_reduces_outputs_per_task() -> None:
-    recipe = KumoTabular.default_recipe()
-    dispatch = next(
-        module
-        for module in recipe.output.modules()
-        if isinstance(module, sp.TaskDispatch)
-    )
-
-    dispatch._task = "regression"
-    output = recipe.output.transform(
-        TableTensor.from_tensor(torch.randn(8, 5, 9))
+@pytest.mark.parametrize("classification", [False, True])
+def test_default_recipe_reduces_outputs_per_task(classification: bool) -> None:
+    execution = RecipeExecution(KumoTabular.default_recipe())
+    target = torch.arange(5).unsqueeze(-1)
+    if not classification:
+        target = target.float()
+    execution.fit_transform(
+        x=torch.randn(5, 2),
+        y=target,
+        related_tables=None,
+        num_members=8,
     )
-    assert output.size() == (5, 9)
-
-    dispatch._task = "classification"
-    output = recipe.output.transform(
-        TableTensor.from_tensor(torch.randn(8, 5, 3))
+    num_outputs = 5 if classification else 9
+    output = execution.transform_output(
+        [
+            TableTensor.from_tensor(torch.randn(5, num_outputs))
+            for _ in range(8)
+        ]
     )
-    assert output.size() == (5, 3)
-    torch.testing.assert_close(output.numerical.sum(dim=-1), torch.ones(5))
+    assert output.size() == (5, num_outputs)
+    if classification:
+        torch.testing.assert_close(output.numerical.sum(dim=-1), torch.ones(5))
diff --git a/test/models/test_base.py b/test/models/test_base.py
index 96c796730..271951358 100644
--- a/test/models/test_base.py
+++ b/test/models/test_base.py
@@ -728,6 +728,60 @@ def _check(out: TableTensor) -> None:
     _check(model.predict(x))
 
 
+@pytest.mark.parametrize(
+    ("output", "expected"),
+    [
+        (None, 0.5),
+        ([sp.InvertTarget(), sp.Clip(-1.0, 1.0)], 1.0),
+        ([sp.Clip(-1.0, 1.0), sp.InvertTarget()], 11.0),
+    ],
+)
+def test_target_inversion_follows_output_order(
+    output: list[Processor] | None,
+    expected: float,
+) -> None:
+    model = _RecordingModel()
+    recipe = sp.Recipe(target=sp.Standardize(), output=output)
+    x_context = torch.zeros(2, 1)
+    y_context = torch.tensor([[8.0], [12.0]])
+    x_query = torch.tensor([[0.5]])
+
+    prediction = model(
+        x_context,
+        y_context,
+        x_query,
+        recipe=recipe,
+    )
+
+    torch.testing.assert_close(
+        prediction.numerical,
+        torch.tensor([[[expected]]]),
+    )
+
+
+@pytest.mark.parametrize("separate", [False, True])
+def test_target_inversion_uses_each_members_fitted_state(
+    separate: bool,
+) -> None:
+    model = _RecordingModel()
+    recipe = sp.Recipe(target=sp.Standardize(), output=sp.InvertTarget())
+    x_context = torch.zeros(2, 2, 1)
+    y_context = torch.tensor([[[8.0], [12.0]], [[20.0], [28.0]]])
+    if separate:
+        y_context = EnsembleTable.from_tables(
+            tables=tuple(TableTensor.from_tensor(y) for y in y_context),
+            member_table_ids=(0, 1),
+        )
+    x_query = torch.ones(2, 1, 1)
+
+    model.fit(x_context, y_context, recipe=recipe)
+    prediction = model.predict(x_query)
+
+    torch.testing.assert_close(
+        prediction.numerical, torch.tensor([[[12.0]], [[28.0]]])
+    )
+
+
 def test_estimator_batching_does_not_stack_related_tables() -> None:
     model = _RecordingModel()
     x_context = _table([0.0, 2.0], [1, 2], value_column="feature")
diff --git a/test/processing/test_contract.py b/test/processing/test_contract.py
index 642a3d69a..72cac5f67 100644
--- a/test/processing/test_contract.py
+++ b/test/processing/test_contract.py
@@ -196,6 +196,7 @@ def test_all_public_processors_have_contract_cases() -> None:
     covered_processors = {type(case.processor) for case in PROCESSOR_CASES}
     # Their specialized behavior is covered in their dedicated test modules.
     specialized_processors = {
+        sp.InvertTarget,
         sp.TaskDispatch,
         sp.TableDispatch,
         sp.SentenceTransformer,