diff --git a/pymc/logprob/transforms.py b/pymc/logprob/transforms.py
index 8b5eac7b16..018d94940e 100644
--- a/pymc/logprob/transforms.py
+++ b/pymc/logprob/transforms.py
@@ -35,7 +35,7 @@
 #   SOFTWARE.
 import abc
 
-from collections.abc import Callable
+from collections.abc import Callable, Sequence
 
 import numpy as np
 import pytensor.tensor as pt
@@ -141,6 +141,10 @@ def backward(
         Multiple values may be returned when the transformation is not 1-to-1.
         """
 
+    @abc.abstractmethod
+    def transform_coords(self, coords: Sequence[str]) -> Sequence[str]:
+        """Mutate user-provided coordinates associated with the variable to label transformed values returned by this class."""
+
     def log_jac_det(self, value: TensorVariable, *inputs) -> TensorVariable:
         """Construct the log of the absolute value of the Jacobian determinant."""
         if self.ndim_supp not in (0, 1):
@@ -614,6 +618,9 @@ def forward(self, value, *inputs):
     def backward(self, value, *inputs):
         return pt.arcsinh(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class CoshTransform(Transform):
     name = "cosh"
@@ -633,6 +640,9 @@ def log_jac_det(self, value, *inputs):
             -pt.log(pt.sqrt(value**2 - 1)),
         )
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class TanhTransform(Transform):
     name = "tanh"
@@ -644,6 +654,9 @@ def forward(self, value, *inputs):
     def backward(self, value, *inputs):
         return pt.arctanh(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ArcsinhTransform(Transform):
     name = "arcsinh"
@@ -655,6 +668,9 @@ def forward(self, value, *inputs):
     def backward(self, value, *inputs):
         return pt.sinh(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ArccoshTransform(Transform):
     name = "arccosh"
@@ -666,6 +682,9 @@ def forward(self, value, *inputs):
     def backward(self, value, *inputs):
         return pt.cosh(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ArctanhTransform(Transform):
     name = "arctanh"
@@ -677,6 +696,9 @@ def forward(self, value, *inputs):
     def backward(self, value, *inputs):
         return pt.tanh(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ErfTransform(Transform):
     name = "erf"
@@ -688,6 +710,9 @@ def forward(self, value, *inputs):
     def backward(self, value, *inputs):
         return pt.erfinv(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ErfcTransform(Transform):
     name = "erfc"
@@ -699,6 +724,9 @@ def forward(self, value, *inputs):
     def backward(self, value, *inputs):
         return pt.erfcinv(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ErfcxTransform(Transform):
     name = "erfcx"
@@ -725,6 +753,9 @@ def calc_delta_x(value, prior_result):
         )
         return result[-1]
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class LocTransform(Transform):
     name = "loc"
@@ -743,6 +774,9 @@ def backward(self, value, *inputs):
     def log_jac_det(self, value, *inputs):
         return pt.zeros_like(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ScaleTransform(Transform):
     name = "scale"
@@ -762,6 +796,9 @@ def log_jac_det(self, value, *inputs):
         scale = self.transform_args_fn(*inputs)
         return -pt.log(pt.abs(pt.broadcast_to(scale, value.shape)))
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class LogTransform(Transform):
     name = "log"
@@ -775,6 +812,9 @@ def backward(self, value, *inputs):
     def log_jac_det(self, value, *inputs):
         return value
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ExpTransform(Transform):
     name = "exp"
@@ -788,6 +828,9 @@ def backward(self, value, *inputs):
     def log_jac_det(self, value, *inputs):
         return -pt.log(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class AbsTransform(Transform):
     name = "abs"
@@ -802,6 +845,9 @@ def backward(self, value, *inputs):
     def log_jac_det(self, value, *inputs):
         return pt.switch(value >= 0, 0, np.nan)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class PowerTransform(Transform):
     name = "power"
@@ -845,6 +891,9 @@ def log_jac_det(self, value, *inputs):
 
         return res
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class IntervalTransform(Transform):
     name = "interval"
@@ -953,6 +1002,9 @@ def log_jac_det(self, value, *inputs):
         else:
             return pt.zeros_like(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class LogOddsTransform(Transform):
     name = "logodds"
@@ -967,6 +1019,9 @@ def log_jac_det(self, value, *inputs):
         sigmoid_value = pt.sigmoid(value)
         return pt.log(sigmoid_value) + pt.log1p(-sigmoid_value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class SimplexTransform(Transform):
     name = "simplex"
@@ -994,6 +1049,11 @@ def log_jac_det(self, value, *inputs):
         res = pt.log(N) + (N * sum_value) - (N * logsumexp_value_expanded)
         return pt.sum(res, -1)
 
+    def transform_coords(self, coords):
+        if len(coords) == 0:
+            return coords
+        return coords[:-1]
+
 
 class CircularTransform(Transform):
     name = "circular"
@@ -1007,6 +1067,9 @@ def forward(self, value, *inputs):
     def log_jac_det(self, value, *inputs):
         return pt.zeros_like(value)
 
+    def transform_coords(self, coords):
+        return coords
+
 
 class ChainedTransform(Transform):
     name = "chain"
@@ -1042,3 +1105,8 @@ def log_jac_det(self, value, *inputs):
             else:
                 det += det_
         return det
+
+    def transform_coords(self, coords):
+        for transform in self.transform_list:
+            coords = transform.transform_coords(coords)
+        return coords