diff --git a/internlm/core/naive_amp.py b/internlm/core/naive_amp.py
index 04f3ee2..5134245 100644
--- a/internlm/core/naive_amp.py
+++ b/internlm/core/naive_amp.py
@@ -164,7 +164,7 @@ class NaiveAMPModel(nn.Module):
             assert isinstance(outputs, (Tensor, tuple))
             if isinstance(outputs, tuple):
                 for output_data_ in outputs:
-                    if isinstance(output_data_, Tensor) and output_data_.dtype is not self.dtype:
+                    if isinstance(output_data_, Tensor):
                         outputs_.append(output_data_.to(self.dtype))
                     else:
                         outputs_.append(output_data_)
diff --git a/internlm/train/training_internlm.py b/internlm/train/training_internlm.py
index 416c8f2..883129d 100644
--- a/internlm/train/training_internlm.py
+++ b/internlm/train/training_internlm.py
@@ -31,7 +31,8 @@ from internlm.solver.beta2_scheduler import Beta2Scheduler
 from internlm.solver.lr_scheduler import FineTuneCosineAnnealingWarmupLR
 from internlm.solver.optimizer import HybridZeroOptimizer
 from internlm.solver.optimizer.utils import ParamBcastSyncHandler
-from internlm.utils.common import DummyProfile, create_param_groups
+from internlm.train.utils import create_param_groups
+from internlm.utils.common import DummyProfile
 from internlm.utils.logger import get_logger
 from internlm.utils.megatron_timers import megatron_timer as timer
 from internlm.utils.parallel import (
diff --git a/internlm/train/utils.py b/internlm/train/utils.py
new file mode 100644
index 0000000..2021395
--- /dev/null
+++ b/internlm/train/utils.py
@@ -0,0 +1,58 @@
+from typing import Dict, Tuple
+
+import torch
+
+
+def split_params_into_different_groups_for_optimizer(param_groups: Tuple[Dict]) -> Tuple[Dict]:
+    """Split parameters into different groups for optimizer
+    Compatiable with muiltiple param groups, each should have a name
+
+    Args:
+        param_groups (Tuple[Dict]):
+            The list of parameter groups to split
+
+    Returns:
+        Tuple[Dict]:
+        list of fp16/fp32 groups for optimizer
+    """
+    if isinstance(param_groups, tuple):
+        param_groups = list(param_groups)  # Tuple cannot be modified
+    elif isinstance(param_groups, dict):
+        param_groups = [param_groups]
+    elif not isinstance(param_groups, list):
+        raise ValueError(f"Unknown param group type of {type(param_groups)}")
+
+    # Create fp32 and moe groups and copy origin attribute
+    for group_param in param_groups:
+        fp32_group = {}
+
+        # copy attribute for fp32 group
+        for ori_key in group_param.keys():
+            if ori_key == "name":
+                fp32_group["name"] = ori_key + "_fp32"
+            else:
+                if ori_key == "params":
+                    fp32_group[ori_key] = []
+                else:
+                    fp32_group[ori_key] = group_param[ori_key]
+
+        # Assign param
+        new_params = []
+        for param in group_param["params"]:
+            if param.dtype == torch.float32:
+                fp32_group["params"].append(param)
+            else:
+                new_params.append(param)
+
+        # origin group without fp32
+        group_param["params"] = new_params
+        # append to origin group
+        param_groups.append(fp32_group)
+
+    return tuple(param_groups)
+
+
+def create_param_groups(model, weight_decay):
+    parameters = {"params": list(model.parameters()), "name": "default", "weight_decay": weight_decay}
+
+    return split_params_into_different_groups_for_optimizer(parameters)
diff --git a/internlm/utils/common.py b/internlm/utils/common.py
index 4b9b047..f3b58c0 100644
--- a/internlm/utils/common.py
+++ b/internlm/utils/common.py
@@ -7,7 +7,7 @@ import os
 import random
 from contextlib import contextmanager
 from datetime import datetime
-from typing import Dict, Tuple, Union
+from typing import Union
 
 import numpy as np
 import torch
@@ -236,58 +236,3 @@ class DummyProfile:
 
     def step(self):
         pass
-
-
-def split_params_into_different_groups_for_optimizer(param_groups: Tuple[Dict]) -> Tuple[Dict]:
-    """Split parameters into different MoE groups for optimizer
-    Compatiable with muiltiple param groups, each should have a name
-
-    Args:
-        param_groups (Tuple[Dict]):
-            The list of parameter groups to split
-
-    Returns:
-        Tuple[Dict]:
-        list of MoE/non-MoE groups for optimizer
-    """
-    if isinstance(param_groups, tuple):
-        param_groups = list(param_groups)  # Tuple cannot be modified
-    elif isinstance(param_groups, dict):
-        param_groups = [param_groups]
-    elif not isinstance(param_groups, list):
-        raise ValueError(f"Unknown param group type of {type(param_groups)}")
-
-    fp32_group = {}
-    # Create fp32 and moe groups and copy origin attribute
-    for param_group in param_groups:
-        # copy attribute for fp32 group
-        fp32_group["name"] = "fp32"
-        fp32_group["gate"] = True
-        for ori_key in param_group.keys():
-            if ori_key != "name":
-                if ori_key == "params":
-                    fp32_group[ori_key] = []
-                else:
-                    fp32_group[ori_key] = param_group[ori_key]
-
-    # Assign param
-    for param_group in param_groups:
-        new_params = []
-        for param in param_group["params"]:
-            if param.dtype == torch.float32:
-                fp32_group["params"].append(param)
-            else:
-                new_params.append(param)
-        # origin group without fp32 or moe parameter
-        param_group["params"] = new_params
-
-    # append to origin group
-    param_groups.append(fp32_group)
-
-    return tuple(param_groups)
-
-
-def create_param_groups(model, weight_decay):
-    parameters = {"params": list(model.parameters()), "name": "default", "weight_decay": weight_decay}
-
-    return split_params_into_different_groups_for_optimizer(parameters)