diff --git a/src/brevitas/core/scaling/runtime.py b/src/brevitas/core/scaling/runtime.py
index 5d013adfc..c2c7a0f2b 100644
--- a/src/brevitas/core/scaling/runtime.py
+++ b/src/brevitas/core/scaling/runtime.py
@@ -30,6 +30,7 @@ def __init__(
             scaling_stats_input_concat_dim: int,
             tracked_parameter_list: List[torch.nn.Parameter],
             scaling_shape: Tuple[int, ...],
+            force_parameter: bool = False,
             restrict_scaling_impl: Module = FloatRestrictValue(),
             restrict_threshold_impl: Optional[Module] = None,
             affine_rescaling: bool = False,
@@ -48,7 +49,8 @@ def __init__(
             scaling_shape,
             scaling_stats_input_view_shape_impl,
             scaling_stats_input_concat_dim,
-            tracked_parameter_list)
+            tracked_parameter_list,
+            force_parameter)
         self.stats_scaling_impl = _StatsScaling(
             restrict_scaling_impl,
             restrict_threshold_impl,
diff --git a/src/brevitas/core/scaling/standalone.py b/src/brevitas/core/scaling/standalone.py
index a75e15b45..26bd12c9a 100644
--- a/src/brevitas/core/scaling/standalone.py
+++ b/src/brevitas/core/scaling/standalone.py
@@ -207,6 +207,7 @@ def __init__(
             scaling_stats_input_concat_dim: int,
             tracked_parameter_list: List[torch.nn.Parameter],
             scaling_shape: Tuple[int, ...],
+            force_parameter: bool = False,
             restrict_scaling_impl: Module = FloatRestrictValue(),
             restrict_threshold_impl: Optional[Module] = None,
             scaling_min_val: Optional[float] = None,
@@ -218,7 +219,8 @@ def __init__(
             scaling_shape,
             scaling_stats_input_view_shape_impl,
             scaling_stats_input_concat_dim,
-            tracked_parameter_list)
+            tracked_parameter_list,
+            force_parameter)
 
         # Ensure retro-compatibility with shared threshold/scaling restrict
         if restrict_threshold_impl is None:
diff --git a/src/brevitas/core/stats/stats_wrapper.py b/src/brevitas/core/stats/stats_wrapper.py
index 49bf62a82..18e9c286a 100644
--- a/src/brevitas/core/stats/stats_wrapper.py
+++ b/src/brevitas/core/stats/stats_wrapper.py
@@ -93,11 +93,12 @@ def __init__(
             stats_output_shape: Tuple[int, ...],
             stats_input_view_shape_impl: nn.Module,
             stats_input_concat_dim: int,
-            tracked_parameter_list: List[torch.nn.Parameter]) -> None:
+            tracked_parameter_list: List[torch.nn.Parameter],
+            force_parameter: bool = False) -> None:
         super(_ParameterListStats, self).__init__()
 
         self.stats_input_concat_dim = stats_input_concat_dim
-        if len(tracked_parameter_list) >= 1:
+        if len(tracked_parameter_list) > 1 or force_parameter:
             self.first_tracked_param = _ViewParameterWrapper(
                 tracked_parameter_list[0], stats_input_view_shape_impl)
         else:
diff --git a/src/brevitas/core/stats/view_wrapper.py b/src/brevitas/core/stats/view_wrapper.py
index 98c6ab538..2535ee246 100644
--- a/src/brevitas/core/stats/view_wrapper.py
+++ b/src/brevitas/core/stats/view_wrapper.py
@@ -52,8 +52,11 @@ def __init__(self, view_shape_impl: Module) -> None:
         self.view_shape_impl = view_shape_impl
 
     @brevitas.jit.script_method
-    def forward(self, x: Tensor) -> Tensor:
-        return self.view_shape_impl(x)
+    def forward(self, x: Optional[Tensor]) -> Tensor:
+        if x is not None:
+            return self.view_shape_impl(x)
+        else:
+            raise RuntimeError("Input cannot be None")
 
 
 class _ViewCatParameterWrapper(brevitas.jit.ScriptModule):
diff --git a/src/brevitas/quant/base.py b/src/brevitas/quant/base.py
index 0fd5e683a..7cd050e21 100644
--- a/src/brevitas/quant/base.py
+++ b/src/brevitas/quant/base.py
@@ -418,7 +418,9 @@ def scaling_init(scaling_init_impl, bit_width):
         return scales
 
     per_channel_pre_norm = PerChannelPreNorm
-
+    # Even if we have a single parameter per quantizer,
+    # we want to force the use of tracker_parameter_list for the scale computation because of the initialization
+    force_parameter = True
     proxy_class = DecoupledWeightQuantProxyFromInjector
     tensor_quant = DecoupledRescalingIntQuant
     decoupled_int_quant = DecoupledIntQuant