diff --git a/fast_llm/engine/config_utils/parameter.py b/fast_llm/engine/config_utils/parameter.py
index 3e2b61120..083d5fa46 100644
--- a/fast_llm/engine/config_utils/parameter.py
+++ b/fast_llm/engine/config_utils/parameter.py
@@ -49,6 +49,13 @@ class ParameterConfig(ModuleConfig):
         " Combines multiplicatively with the scale set by the parent layer, if applicable.",
         hint=FieldHint.feature,
     )
+    weight_decay: float | bool | None = Field(
+        default=None,
+        desc="Override the default weight decay for this parameter."
+        " Set to `True` or `False` to enable or disable the optimizer weight decay,"
+        " or to a number to use a specific value.",
+        hint=FieldHint.feature,
+    )
     # TODO: Initialization, lr_scale
 
     def get_parameter(
@@ -67,7 +74,7 @@ def get_parameter(
             dims,
             init_method=default_initialization if self.initialization.is_default else self.initialization,
             lr_scale=combine_lr_scales(lr_scale, self.lr_scale),
-            weight_decay=weight_decay,
+            weight_decay=weight_decay if self.weight_decay is None else self.weight_decay,
             allow_sequence_tensor_parallel=allow_sequence_tensor_parallel,
         )
         if peft is not None:
diff --git a/fast_llm/engine/multi_stage/stage_base.py b/fast_llm/engine/multi_stage/stage_base.py
index ea737524b..e696a8f83 100644
--- a/fast_llm/engine/multi_stage/stage_base.py
+++ b/fast_llm/engine/multi_stage/stage_base.py
@@ -245,7 +245,14 @@ def get_param_groups(
                     end = fsdp.index_buffer_to_shard(buffer_begin + (lr_scale_index + 1) * chunk_size)
                     if lr_scale == 0 or begin == end:
                         continue
-                    optimizer_params = (parameter_meta.param_weight_decay, lr_scale)
+                    # Resolve to the optimizer weight decay so the group key is unambiguous:
+                    # `True` -> `None` (optimizer default), `False` -> `0.0`, a float -> itself.
+                    # Keying on the raw value would merge `True` with a literal `1.0`.
+                    weight_decay = parameter_meta.param_weight_decay
+                    group_weight_decay = (
+                        (None if weight_decay else 0.0) if isinstance(weight_decay, bool) else weight_decay
+                    )
+                    optimizer_params = (group_weight_decay, lr_scale)
                     if optimizer_params in grouped_parameter_slices:
                         last_slice = grouped_parameter_slices[optimizer_params][-1]
                         if begin == last_slice.stop:
@@ -257,17 +264,17 @@ def get_param_groups(
 
             param_groups += [
                 param_group_cls(
-                    name=f"wd_{weight_decay}_lr_scale_{lr_scale}",  # noqa
+                    name=f"wd_{group_weight_decay}_lr_scale_{lr_scale}",  # noqa
                     params=[fsdp.weight_shard[slice_] for slice_ in slices],  # noqa
                     grads=[fsdp.grad_shard[slice_] for slice_ in slices],  # noqa
                     **{  # noqa
                         name: [optimizer_state[i][slice_] for slice_ in slices]
                         for name, optimizer_state in optimizer_state_shards.items()
                     },
-                    weight_decay=None if weight_decay else 0.0,  # noqa
+                    weight_decay=group_weight_decay,  # noqa
                     lr_scale=lr_scale,  # noqa
                 )
-                for (weight_decay, lr_scale), slices in grouped_parameter_slices.items()
+                for (group_weight_decay, lr_scale), slices in grouped_parameter_slices.items()
             ]
 
         # Get the weight slices to use for grad norm computation, merging consecutive slices.
@@ -343,14 +350,15 @@ def _get_parameter_metas(self) -> tuple[list[ParameterMeta], list[ParameterMeta]
 
     @classmethod
     def _reorder_parameter_metas(cls, parameter_metas):
-        reorder_index = sorted(
-            range(len(parameter_metas)),
-            key=lambda i: (
-                parameter_metas[i].param_weight_decay,
-                parameter_metas[i].param_weight_decay == parameter_metas[i].is_tensor_parallel,
-                parameter_metas[i].param_weight_decay != parameter_metas[i].sequence_tensor_parallel,
-            ),
-        )
-        reordered_metas = [parameter_metas[i] for i in reorder_index]
+        def _sort_key(i):
+            # `param_weight_decay` may be a float; reduce it to a bool so the ordering (and the
+            # sequence-parallel contiguity it guarantees) follows the decayed/not-decayed split.
+            weight_decay = bool(parameter_metas[i].param_weight_decay)
+            return (
+                weight_decay,
+                weight_decay == parameter_metas[i].is_tensor_parallel,
+                weight_decay != parameter_metas[i].sequence_tensor_parallel,
+            )
 
-        return reordered_metas
+        reorder_index = sorted(range(len(parameter_metas)), key=_sort_key)
+        return [parameter_metas[i] for i in reorder_index]
diff --git a/fast_llm/layers/common/linear/config.py b/fast_llm/layers/common/linear/config.py
index 803edc302..0917ac401 100644
--- a/fast_llm/layers/common/linear/config.py
+++ b/fast_llm/layers/common/linear/config.py
@@ -139,6 +139,7 @@ def get_layer(
         bias = self.bias.get_parameter(
             (out_dim,),
             default_initialization=default_bias_initialization,
+            weight_decay=False,
             lr_scale=lr_scale,
             default_enabled=default_add_bias,
             peft=None,
@@ -222,6 +223,7 @@ def get_layer(
         bias = self.bias.get_parameter(
             (in_dim,),
             default_initialization=default_bias_initialization,
+            weight_decay=False,
             lr_scale=lr_scale,
             default_enabled=default_add_bias,
             peft=peft,
diff --git a/fast_llm/layers/common/normalization/normalization.py b/fast_llm/layers/common/normalization/normalization.py
index dda12f17b..e7f9d0bb9 100644
--- a/fast_llm/layers/common/normalization/normalization.py
+++ b/fast_llm/layers/common/normalization/normalization.py
@@ -216,12 +216,14 @@ def __init__(self, config: ConfigType, hidden_dim: TensorDim, lr_scale: float |
         self.weight = self._config.weight.get_parameter(
             (hidden_dim,),
             default_initialization=init_zeros_ if self._config.zero_centered else init_ones_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=None,
         )
         self.bias = self._config.bias.get_parameter(
             (hidden_dim,),
             default_initialization=init_zeros_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=None,
         )
@@ -282,6 +284,7 @@ def __init__(self, config: ConfigType, hidden_dim: TensorDim, lr_scale: float |
         self.weight = self._config.weight.get_parameter(
             (hidden_dim,),
             default_initialization=init_zeros_ if self._config.zero_centered else init_ones_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=None,
         )
diff --git a/fast_llm/layers/decoder/block.py b/fast_llm/layers/decoder/block.py
index b88fc89ec..f8d08e683 100644
--- a/fast_llm/layers/decoder/block.py
+++ b/fast_llm/layers/decoder/block.py
@@ -127,6 +127,7 @@ def __init__(
         self.output_scale = self._config.output_scale.get_parameter(
             (scalar_dim,),
             default_initialization=init_ones_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=self._peft,
         )
diff --git a/fast_llm/layers/decoder/mlp/mixture_of_experts.py b/fast_llm/layers/decoder/mlp/mixture_of_experts.py
index d9851d022..b672054a7 100644
--- a/fast_llm/layers/decoder/mlp/mixture_of_experts.py
+++ b/fast_llm/layers/decoder/mlp/mixture_of_experts.py
@@ -88,12 +88,14 @@ def __init__(
         self.router_scale = self._config.router_scale.get_parameter(
             (self._hidden_dim,),
             default_initialization=init_ones_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=self._peft,
         )
         self.router_per_expert_scale = self._config.router_per_expert_scale.get_parameter(
             (TensorDim("experts", self._config.experts),),
             default_initialization=init_ones_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=self._peft,
         )
diff --git a/fast_llm/layers/ssm/gdn.py b/fast_llm/layers/ssm/gdn.py
index ef6c6154f..1388f8908 100644
--- a/fast_llm/layers/ssm/gdn.py
+++ b/fast_llm/layers/ssm/gdn.py
@@ -302,6 +302,7 @@ def __init__(
         self.dt_bias: ParameterMeta = self._config.dt_bias_weight.get_parameter(
             (self._value_heads_dim,),
             default_initialization=init_ones_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=self._peft,
         )
@@ -310,6 +311,7 @@ def __init__(
             default_initialization=LambdaInitializer(
                 lambda _, tensor, generator: tensor.uniform_(0, 16, generator=generator).log_()
             ),
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=self._peft,
         )
diff --git a/fast_llm/layers/ssm/kda.py b/fast_llm/layers/ssm/kda.py
index c59bfe036..dd4f169f4 100644
--- a/fast_llm/layers/ssm/kda.py
+++ b/fast_llm/layers/ssm/kda.py
@@ -343,6 +343,7 @@ def __init__(
         self.dt_bias: ParameterMeta = self._config.dt_bias_weight.get_parameter(
             (self._projection_dim,),
             default_initialization=init_ones_,
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=self._peft,
         )
@@ -351,6 +352,7 @@ def __init__(
             default_initialization=LambdaInitializer(
                 lambda _, tensor, generator: tensor.uniform_(1, 16, generator=generator).log_()
             ),
+            weight_decay=False,
             lr_scale=self._lr_scale,
             peft=self._peft,
         )
diff --git a/fast_llm/tensor.py b/fast_llm/tensor.py
index fbf55e3b2..242b7cebb 100644
--- a/fast_llm/tensor.py
+++ b/fast_llm/tensor.py
@@ -248,7 +248,7 @@ def __init__(
         tensor_name: str = "",
         dims: tuple[TensorDim, ...],
         init_method: "Initialization | typing.Callable[[ParameterMeta, torch.Tensor, torch.Generator], None] | None" = None,
-        weight_decay: bool = True,
+        weight_decay: float | bool = True,
         # Pass a list to split the parameter in contiguous (dim=0) chunks of equal size for optimization.
         lr_scale: float | None | tuple[float | None, ...] = None,
         requires_grad: bool = True,
@@ -285,7 +285,7 @@ def __new__(
         tensor_name: str = "",
         dims: tuple[TensorDim, ...],
         init_method: "Initializer | typing.Callable[[ParameterMeta, torch.Tensor, torch.Generator], None] | None",
-        weight_decay: bool = True,
+        weight_decay: float | bool = True,
         lr_scale: float | None | tuple[float | None, ...] = None,
         allow_sequence_tensor_parallel: bool = True,
         allow_no_grad: bool = False,