diff --git a/bayesflow/experimental/networks/coupling_flow/transforms/affine_transform.py b/bayesflow/experimental/networks/coupling_flow/transforms/affine_transform.py
index ca361f810..329c0820b 100644
--- a/bayesflow/experimental/networks/coupling_flow/transforms/affine_transform.py
+++ b/bayesflow/experimental/networks/coupling_flow/transforms/affine_transform.py
@@ -1,5 +1,6 @@
 
-import numpy as np
+from math import pi as PI_CONST
+
 from keras import ops
 
 from bayesflow.experimental.types import Tensor
@@ -7,25 +8,29 @@
 
 
 class AffineTransform(Transform):
+
+    def __init__(self, clamp_factor=1.9):
+        self.clamp_factor = clamp_factor
+
     def split_parameters(self, parameters: Tensor) -> dict[str, Tensor]:
         scale, shift = ops.split(parameters, 2, axis=-1)
 
         return {"scale": scale, "shift": shift}
 
     def constrain_parameters(self, parameters: dict[str, Tensor]) -> dict[str, Tensor]:
-        shift = np.log(np.e - 1)
-        parameters["scale"] = ops.softplus(parameters["scale"] + shift)
+        s = (2.0 * self.clamp_factor / PI_CONST) * ops.atan(parameters["scale"] / self.soft_clamp)
+        parameters["scale"] = ops.exp(s)
 
         return parameters
 
     def forward(self, x: Tensor, parameters: dict[str, Tensor]) -> (Tensor, Tensor):
         z = parameters["scale"] * x + parameters["shift"]
-        log_det = ops.mean(ops.log(parameters["scale"]), axis=-1)
+        log_det = ops.mean(parameters["scale"], axis=-1)
 
         return z, log_det
 
     def inverse(self, z: Tensor, parameters: dict[str, Tensor]) -> (Tensor, Tensor):
         x = (z - parameters["shift"]) / parameters["scale"]
-        log_det = -ops.mean(ops.log(parameters["scale"]), axis=-1)
+        log_det = -ops.mean(parameters["scale"], axis=-1)
 
         return x, log_det