diff --git a/paddleslim/dygraph/dist/losses/__init__.py b/paddleslim/dygraph/dist/losses/__init__.py
index 8f5c9599552a7b4ab9bf70954f3d29b52efafcee..e61e35274337b47d3e2ab0ecc298b541310666b9 100644
--- a/paddleslim/dygraph/dist/losses/__init__.py
+++ b/paddleslim/dygraph/dist/losses/__init__.py
@@ -11,3 +11,73 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
+
+import copy
+import paddle
+import paddle.nn as nn
+
+from . import basic_loss
+from . import distillation_loss
+
+from .basic_loss import L1Loss
+from .basic_loss import L2Loss
+from .basic_loss import SmoothL1Loss
+from .basic_loss import CELoss
+from .basic_loss import DMLLoss
+from .basic_loss import DistanceLoss
+from .basic_loss import RKdAngle, RkdDistance
+
+from .distillation_loss import DistillationDistanceLoss
+from .distillation_loss import DistillationDMLLoss
+from .distillation_loss import DistillationRKDLoss
+
+
+class CombinedLoss(nn.Layer):
+    """
+    CombinedLoss: a combination of loss function.
+    Args:
+        loss_config_list: a config list used to build loss function. A demo is as follows,
+                          which is used to calculate dml loss between Student output and
+                          Teacher output. Parameter weight is needed for the loss weight.
+                            - DistillationDMLLoss:
+                                weight: 1.0
+                                act: "softmax"
+                                model_name_pairs:
+                                - ["Student", "Teacher"]
+    """
+
+    def __init__(self, loss_config_list=None):
+        super().__init__()
+        loss_config_list = copy.deepcopy(loss_config_list)
+        self.loss_func = []
+        self.loss_weight = []
+        assert isinstance(loss_config_list, list), (
+            'operator config should be a list')
+        supported_loss_list = basic_loss.__all__ + distillation_loss.__all__
+        for config in loss_config_list:
+            assert isinstance(config,
+                              dict) and len(config) == 1, "yaml format error"
+            name = list(config)[0]
+            assert name in supported_loss_list, \
+                "loss name must be in {} but got: {}".format(name, supported_loss_list)
+            param = config[name]
+            assert "weight" in param, "weight must be in param, but param just contains {}".format(
+                param.keys())
+            self.loss_weight.append(param.pop("weight"))
+            self.loss_func.append(eval(name)(**param))
+
+    def forward(self, input, batch, **kargs):
+        loss_dict = {}
+        for idx, loss_func in enumerate(self.loss_func):
+            loss = loss_func(input, batch, **kargs)
+            weight = self.loss_weight[idx]
+            if isinstance(loss, paddle.Tensor):
+                loss = {"loss_{}_{}".format(str(loss), idx): loss * weight}
+            else:
+                loss = {
+                    "{}_{}".format(key, idx): loss[key] * weight
+                    for key in loss
+                }
+            loss_dict.update(loss)
+        loss_dict["loss"] = paddle.add_n(list(loss_dict.values()))
+        return loss_dict
diff --git a/paddleslim/dygraph/dist/losses/basic_loss.py b/paddleslim/dygraph/dist/losses/basic_loss.py
new file mode 100644
index 0000000000000000000000000000000000000000..c9f0684d8a07d849ac788735a3fc4bd025b3276d
--- /dev/null
+++ b/paddleslim/dygraph/dist/losses/basic_loss.py
@@ -0,0 +1,207 @@
+#copyright (c) 2021 PaddlePaddle Authors. All Rights Reserve.
+#
+#Licensed under the Apache License, Version 2.0 (the "License");
+#you may not use this file except in compliance with the License.
+#You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+#Unless required by applicable law or agreed to in writing, software
+#distributed under the License is distributed on an "AS IS" BASIS,
+#WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#See the License for the specific language governing permissions and
+#limitations under the License.
+
+import paddle
+import paddle.nn as nn
+import paddle.nn.functional as F
+
+from paddle.nn import L1Loss
+from paddle.nn import MSELoss as L2Loss
+from paddle.nn import SmoothL1Loss
+
+__all__ = [
+    "CELoss",
+    "DMLLoss",
+    "DistanceLoss",
+    "RKdAngle",
+    "RkdDistance",
+]
+
+
+class CELoss(nn.Layer):
+    """
+    CELoss: cross entropy loss
+    Args:
+        epsilon(float | None): label smooth epsilon. If it is None or not in range (0, 1),
+                                  then label smooth will not be used.
+        label_act(string | None): activation function, it works when the label is also the logits
+                                  rather than the groundtruth label.
+        axis(int): axis used to calculate cross entropy loss.
+
+    """
+
+    def __init__(self, epsilon=None, label_act="softmax", axis=-1):
+        super().__init__()
+        if epsilon is not None and (epsilon <= 0 or epsilon >= 1):
+            epsilon = None
+        assert label_act in ["softmax", None]
+        if epsilon is not None and (epsilon >= 1 or epsilon <= 0):
+            epsilon = None
+        self.epsilon = epsilon
+        self.label_act = label_act
+        self.axis = axis
+
+    def _labelsmoothing(self, target, class_num):
+        if target.shape[-1] != class_num:
+            one_hot_target = F.one_hot(target, class_num)
+        else:
+            one_hot_target = target
+        soft_target = F.label_smooth(one_hot_target, epsilon=self.epsilon)
+        soft_target = paddle.reshape(soft_target, shape=[-1, class_num])
+        return soft_target
+
+    def forward(self, x, label):
+        assert len(x.shape) == len(label.shape), \
+            "x and label shape length should be same but got {} for x.shape and {} for label.shape".format(x.shape, label.shape)
+        if self.epsilon is not None:
+            class_num = x.shape[-1]
+            label = self._labelsmoothing(label, class_num)
+            x = -F.log_softmax(x, axis=self.axis)
+            loss = paddle.sum(x * label, axis=self.axis)
+        else:
+            if label.shape[self.axis] == x.shape[self.axis]:
+                if self.label_act == "softmax":
+                    label = F.softmax(label, axis=self.axis)
+                soft_label = True
+            else:
+                soft_label = False
+            loss = F.cross_entropy(
+                x, label=label, soft_label=soft_label, axis=self.axis)
+        loss = loss.mean()
+        return loss
+
+
+class DMLLoss(nn.Layer):
+    """
+    DMLLoss
+    Args:
+        act(string | None): activation function used to activate the input tensor
+        axis(int): axis used to build activation function
+    """
+
+    def __init__(self, act=None, axis=-1):
+        super().__init__()
+        if act is not None:
+            assert act in ["softmax", "sigmoid"]
+        if act == "softmax":
+            self.act = nn.Softmax(axis=axis)
+        elif act == "sigmoid":
+            self.act = nn.Sigmoid()
+        else:
+            self.act = None
+
+    def forward(self, out1, out2):
+        if self.act is not None:
+            out1 = self.act(out1)
+            out2 = self.act(out2)
+
+        log_out1 = paddle.log(out1)
+        log_out2 = paddle.log(out2)
+        loss = (F.kl_div(
+            log_out1, out2, reduction='batchmean') + F.kl_div(
+                log_out2, out1, reduction='batchmean')) / 2.0
+        return loss
+
+
+class DistanceLoss(nn.Layer):
+    """
+    DistanceLoss
+    Args:
+        mode: loss mode
+        kargs(dict): used to build corresponding loss function, for more details, please
+                     refer to:
+                     L1loss: https://www.paddlepaddle.org.cn/documentation/docs/zh/api/paddle/nn/L1Loss_cn.html#l1loss
+                     L2Loss: https://www.paddlepaddle.org.cn/documentation/docs/zh/api/paddle/nn/MSELoss_cn.html#mseloss
+                     SmoothL1Loss: https://www.paddlepaddle.org.cn/documentation/docs/zh/api/paddle/nn/SmoothL1Loss_cn.html#smoothl1loss
+    """
+
+    def __init__(self, mode="l2", **kargs):
+        super().__init__()
+        assert mode in ["l1", "l2", "smooth_l1"]
+        if mode == "l1":
+            self.loss_func = nn.L1Loss(**kargs)
+        elif mode == "l2":
+            self.loss_func = nn.MSELoss(**kargs)
+        elif mode == "smooth_l1":
+            self.loss_func = nn.SmoothL1Loss(**kargs)
+
+    def forward(self, x, y):
+        return self.loss_func(x, y)
+
+
+def pdist(e, squared=False, eps=1e-12):
+    e_square = e.pow(2).sum(axis=1)
+    prod = paddle.mm(e, e.t())
+    res = (e_square.unsqueeze(1) + e_square.unsqueeze(0) - 2 * prod).clip(
+        min=eps)
+
+    if not squared:
+        res = res.sqrt()
+
+    return res
+
+
+class RKdAngle(nn.Layer):
+    """
+    RKdAngle loss, see https://arxiv.org/abs/1904.05068
+    """
+
+    def __init__(self):
+        super().__init__()
+
+    def forward(self, student, teacher):
+        # reshape for feature map distillation
+        bs = student.shape[0]
+        student = student.reshape([bs, -1])
+        teacher = teacher.reshape([bs, -1])
+
+        td = (teacher.unsqueeze(0) - teacher.unsqueeze(1))
+        norm_td = F.normalize(td, p=2, axis=2)
+        t_angle = paddle.bmm(norm_td, norm_td.transpose([0, 2, 1])).reshape(
+            [-1, 1])
+
+        sd = (student.unsqueeze(0) - student.unsqueeze(1))
+        norm_sd = F.normalize(sd, p=2, axis=2)
+        s_angle = paddle.bmm(norm_sd, norm_sd.transpose([0, 2, 1])).reshape(
+            [-1, 1])
+        loss = F.smooth_l1_loss(s_angle, t_angle, reduction='mean')
+        return loss
+
+
+class RkdDistance(nn.Layer):
+    """
+    RkdDistance loss, see https://arxiv.org/abs/1904.05068
+    Args:
+        eps(float): epsilon for the pdist function
+    """
+
+    def __init__(self, eps=1e-12):
+        super().__init__()
+        self.eps = eps
+
+    def forward(self, student, teacher):
+        bs = student.shape[0]
+        student = student.reshape([bs, -1])
+        teacher = teacher.reshape([bs, -1])
+
+        t_d = pdist(teacher, squared=False, eps=self.eps)
+        mean_td = t_d.mean()
+        t_d = t_d / (mean_td + self.eps)
+
+        d = pdist(student, squared=False, eps=self.eps)
+        mean_d = d.mean()
+        d = d / (mean_d + self.eps)
+
+        loss = F.smooth_l1_loss(d, t_d, reduction="mean")
+        return loss
diff --git a/paddleslim/dygraph/dist/losses/distillation_loss.py b/paddleslim/dygraph/dist/losses/distillation_loss.py
new file mode 100644
index 0000000000000000000000000000000000000000..7b97bcd519436bab7fab783427914e59fef19549
--- /dev/null
+++ b/paddleslim/dygraph/dist/losses/distillation_loss.py
@@ -0,0 +1,136 @@
+#copyright (c) 2021 PaddlePaddle Authors. All Rights Reserve.
+#
+#Licensed under the Apache License, Version 2.0 (the "License");
+#you may not use this file except in compliance with the License.
+#You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+#Unless required by applicable law or agreed to in writing, software
+#distributed under the License is distributed on an "AS IS" BASIS,
+#WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#See the License for the specific language governing permissions and
+#limitations under the License.
+
+import paddle
+import paddle.nn as nn
+
+from .basic_loss import DMLLoss
+from .basic_loss import DistanceLoss
+from .basic_loss import RkdDistance
+from .basic_loss import RKdAngle
+
+__all__ = [
+    "DistillationDMLLoss",
+    "DistillationDistanceLoss",
+    "DistillationRKDLoss",
+]
+
+
+class DistillationDMLLoss(DMLLoss):
+    """
+    DistillationDMLLoss
+    Args:
+        model_name_pairs(list | tuple): model name pairs to extract submodel output.
+        act(string | None): activation function used to build dml loss.
+        axis(int): axis used to build activation function.
+        key(string | None): key of the tensor used to calculate loss if the submodel
+                            output type is dict.
+        name(string): loss name.
+    """
+
+    def __init__(self, model_name_pairs=[], act=None, key=None,
+                 name="loss_dml"):
+        super().__init__(act=act)
+        assert isinstance(model_name_pairs, list)
+        self.key = key
+        self.model_name_pairs = model_name_pairs
+        self.name = name
+
+    def forward(self, predicts, batch):
+        loss_dict = dict()
+        for idx, pair in enumerate(self.model_name_pairs):
+            out1 = predicts[pair[0]]
+            out2 = predicts[pair[1]]
+            if self.key is not None:
+                out1 = out1[self.key]
+                out2 = out2[self.key]
+            loss_dict["{}_{}_{}_{}".format(self.name, pair[0], pair[1],
+                                           idx)] = super().forward(out1, out2)
+        return loss_dict
+
+
+class DistillationDistanceLoss(DistanceLoss):
+    """
+    DistillationDistanceLoss
+    Args:
+        mode: loss mode
+        model_name_pairs(list | tuple): model name pairs to extract submodel output.
+        key(string | None): key of the tensor used to calculate loss if the submodel.
+        name(string): loss name.
+        kargs(dict): used to build corresponding loss function.
+    """
+
+    def __init__(self,
+                 mode="l2",
+                 model_name_pairs=[],
+                 key=None,
+                 name="loss_distance",
+                 **kargs):
+        super().__init__(mode=mode, **kargs)
+        assert isinstance(model_name_pairs, list)
+        self.key = key
+        self.model_name_pairs = model_name_pairs
+        self.name = name + "_" + mode
+
+    def forward(self, predicts, batch):
+        loss_dict = dict()
+        for idx, pair in enumerate(self.model_name_pairs):
+            out1 = predicts[pair[0]]
+            out2 = predicts[pair[1]]
+            if self.key is not None:
+                out1 = out1[self.key]
+                out2 = out2[self.key]
+            loss = super().forward(out1, out2)
+            loss_dict["{}_{}_{}_{}".format(self.name, pair[0], pair[1],
+                                           idx)] = loss
+        return loss_dict
+
+
+class DistillationRKDLoss(nn.Layer):
+    """
+    DistillationRKDLoss
+    Args:
+        model_name_pairs(list | tuple): model name pairs to extract submodel output.
+        key(string | None): key of the tensor used to calculate loss if the submodel.
+        eps(float): epsilon for the pdist function for RkdDistance loss.
+        name(string): loss name.
+    """
+
+    def __init__(self,
+                 model_name_pairs=[],
+                 key=None,
+                 eps=1e-12,
+                 name="loss_rkd"):
+        super().__init__()
+        self.model_name_pairs = model_name_pairs
+        self.key = key
+
+        self.rkd_angle_loss_func = RKdAngle()
+        self.rkd_dist_func = RkdDistance(eps=eps)
+        self.name = name
+
+    def forward(self, predicts, batch):
+        loss_dict = dict()
+        for idx, pair in enumerate(self.model_name_pairs):
+            out1 = predicts[pair[0]]
+            out2 = predicts[pair[1]]
+            if self.key is not None:
+                out1 = out1[self.key]
+                out2 = out2[self.key]
+            loss_dict["{}_{}_{}_angle_{}".format(self.name, pair[0], pair[
+                1], idx)] = self.rkd_angle_loss_func(out1, out2)
+
+            loss_dict["{}_{}_{}_dist_{}".format(self.name, pair[0], pair[
+                1], idx)] = self.rkd_dist_func(out1, out2)
+        return loss_dict
diff --git a/tests/dygraph/test_distillation_loss.py b/tests/dygraph/test_distillation_loss.py
new file mode 100644
index 0000000000000000000000000000000000000000..a14d485a8f02033bae0c4c6c7ba2fb84d64fa89d
--- /dev/null
+++ b/tests/dygraph/test_distillation_loss.py
@@ -0,0 +1,697 @@
+# Copyright (c) 2021  PaddlePaddle Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License"
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+import sys
+sys.path.append("../../")
+
+import copy
+
+import unittest
+import paddle
+
+# basic loss
+from paddleslim.dygraph.dist.losses import CombinedLoss
+
+# basic loss
+from paddleslim.dygraph.dist.losses import DistanceLoss
+from paddleslim.dygraph.dist.losses import CELoss
+from paddleslim.dygraph.dist.losses import DMLLoss
+from paddleslim.dygraph.dist.losses import RkdDistance
+from paddleslim.dygraph.dist.losses import RKdAngle
+
+# distillation loss
+from paddleslim.dygraph.dist.losses import DistillationDistanceLoss
+from paddleslim.dygraph.dist.losses import DistillationRKDLoss
+from paddleslim.dygraph.dist.losses import DistillationDMLLoss
+
+import numpy as np
+
+
+class TestDistanceLoss(unittest.TestCase):
+    """TestDistanceLoss
+    TestDistanceLoss contains:
+        1. unittest of basic loss
+        2. unittest of distillation loss
+    """
+
+    def np_distance_loss(self, x, y, mode="l2", reduction="none"):
+        assert reduction in ["none", "mean", "sum"]
+        if isinstance(x, paddle.Tensor):
+            x = x.numpy()
+        if isinstance(y, paddle.Tensor):
+            y = y.numpy()
+        if mode == "l2":
+            diff = np.square(x - y)
+        elif mode == "l1":
+            diff = np.abs(x - y)
+        elif mode == "smooth_l1":
+            diff = np.abs(x - y)
+            diff_square = 0.5 * np.square(diff)
+            diff = np.where(diff >= 1, diff - 0.5, diff_square)
+
+        if reduction == "none":
+            out = diff
+        elif reduction == "mean":
+            out = np.mean(diff)
+        elif reduction == "sum":
+            out = np.sum(diff)
+        return out
+
+    def dist_np_distance_loss(
+            self,
+            predicts,
+            mode="l2",
+            reduction="none",
+            model_name_pairs=(["", ""]),
+            key=None,
+            name="loss_distance", ):
+        loss_dict = dict()
+        for idx, pair in enumerate(model_name_pairs):
+            out1 = predicts[pair[0]]
+            out2 = predicts[pair[1]]
+            if key is not None:
+                out1 = out1[key]
+                out2 = out2[key]
+            loss = self.np_distance_loss(
+                out1, out2, mode=mode, reduction=reduction)
+            loss_dict["{}_{}_{}_{}_{}".format(name, mode, pair[0], pair[1],
+                                              idx)] = loss
+
+        return loss_dict
+
+    def test_basic_distance_loss(self):
+        shape = [10, 20]
+        x = paddle.rand(shape)
+        y = paddle.rand(shape)
+        modes = ["l1", "l2", "smooth_l1"]
+        reductions = ["none", "mean", "sum"]
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+        for device in devices:
+            paddle.set_device(device)
+            for reduction in reductions:
+                for mode in modes:
+                    np_result = self.np_distance_loss(
+                        x, y, mode=mode, reduction=reduction)
+                    loss_func = DistanceLoss(mode=mode, reduction=reduction)
+                    pd_result = loss_func(x, y).numpy()
+                    self.assertTrue(np.allclose(np_result, pd_result))
+
+    def test_distillation_distance_loss(self, ):
+        shape = [20, 10]
+        x_feat_name = "student"
+        y_feat_name = "teacher"
+        pairs = [[x_feat_name, y_feat_name]]
+        predicts = {
+            "student": paddle.rand(shape),
+            "teacher": paddle.rand(shape),
+        }
+        self.calc_distillation_distance_loss(predicts, pairs, key=None)
+
+        predicts = {
+            "student": {
+                "feat": paddle.rand(shape),
+            },
+            "teacher": {
+                "feat": paddle.rand(shape),
+            },
+        }
+        self.calc_distillation_distance_loss(predicts, pairs, key="feat")
+
+    def calc_distillation_distance_loss(self, predicts, pairs, key=None):
+        modes = ["l1", "l2", "smooth_l1"]
+        reductions = ["none", "mean", "sum"]
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+
+        for device in devices:
+            paddle.set_device(device)
+            for reduction in reductions:
+                for mode in modes:
+                    loss_func = DistillationDistanceLoss(
+                        mode=mode,
+                        model_name_pairs=pairs,
+                        key=key,
+                        reduction=reduction)
+                    np_result_dict = self.dist_np_distance_loss(
+                        predicts,
+                        mode=mode,
+                        reduction=reduction,
+                        model_name_pairs=pairs,
+                        key=key)
+                    pd_result_dict = loss_func(predicts, None)
+                    for k in np_result_dict:
+                        pd_result = pd_result_dict[k].numpy()
+                        np_result = np_result_dict[k]
+                        self.assertTrue(np.allclose(np_result, pd_result))
+
+
+class TestCELoss(unittest.TestCase):
+    def stable_softmax(self, x):
+        shiftx = (x - np.max(x)).clip(-64.)
+        exps = np.exp(shiftx)
+        return exps / np.sum(exps)
+
+    def ref_softmax(self, x, axis=-1, dtype=None):
+        if isinstance(x, paddle.Tensor):
+            x = x.numpy()
+        x_t = x.copy()
+        if dtype is not None:
+            x_t = x_t.astype(dtype)
+        return np.apply_along_axis(self.stable_softmax, axis, x_t)
+
+    def log_softmax(self, x, axis=-1):
+        softmax_out = np.apply_along_axis(self.stable_softmax, axis, x)
+        return np.log(softmax_out)
+
+    def _cross_entropy_soft(self, softmax, label, axis, ignore_index=-1):
+        return (-label * np.log(softmax)).sum(axis=axis, keepdims=True)
+
+    def np_cross_entropy_loss(self,
+                              input,
+                              label,
+                              weight=None,
+                              reduction='mean',
+                              ignore_index=-100):
+        log_softmax_out = self.log_softmax(input)
+        input_shape = log_softmax_out.shape
+        N = input_shape[0]
+        out = np.zeros_like(label).astype(np.float64)
+        total_weight = 0
+        ###1. compute softmax cross_entropy (with weight)
+        ###   Note: only support hard labels.
+        for i in range(N):
+            cur_target = label[i]
+            if cur_target == ignore_index:
+                out[i] = 0
+                continue
+            cur_weight = weight[cur_target] if weight is not None else 1
+            total_weight += cur_weight
+            out[i] = -log_softmax_out[i][cur_target] * cur_weight
+
+        ###2. deal with reduction 
+        if reduction == 'sum':
+            return np.sum(out)
+        elif reduction == 'mean':
+            out = out.sum() / total_weight if total_weight != 0 else out.sum()
+            return out
+        elif reduction == 'none':
+            return out
+
+    def np_cross_entropy_soft(self,
+                              x,
+                              label,
+                              axis=-1,
+                              weight=None,
+                              reduction='mean',
+                              ignore_index=-100):
+        if isinstance(x, paddle.Tensor):
+            x = x.numpy()
+        if isinstance(label, paddle.Tensor):
+            label = label.numpy()
+        softmax = self.ref_softmax(x, axis=axis)
+        #1.loss
+        loss = self._cross_entropy_soft(softmax, label, axis, ignore_index)
+
+        if weight is None and reduction == 'none':
+            return loss
+
+        #2.weight
+        weighted_loss = loss
+        total_weight = softmax.shape[0]  # batch size
+        if weight is not None:
+            weighted_loss = np.zeros_like(loss).astype(np.float64)
+            total_weight = 0
+            for i in range(total_weight):
+                cur_soft_label = label[i]
+                cur_weight = np.dot(weight, cur_soft_label)
+                total_weight += cur_weight
+                weighted_loss[i] = loss[i] * cur_weight
+
+        #3.reduce
+        if reduction == 'none':
+            return weighted_loss
+
+        elif reduction == 'mean':
+            weighted_loss_sum = np.sum(weighted_loss)
+            weighted_loss_mean = weighted_loss_sum / total_weight
+            return weighted_loss_mean
+
+        else:
+            weighted_loss_sum = np.sum(weighted_loss)
+            return weighted_loss_sum
+
+    def test_ce_loss_hard_label(self, ):
+        batch_size = 16
+        class_num = 1000
+
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+        for device in devices:
+            paddle.set_device(device)
+            x = paddle.rand([batch_size, class_num])
+            label = paddle.randint(0, class_num, shape=[batch_size, 1])
+
+            loss_func = CELoss()
+            pd_loss = loss_func(x, label).numpy()
+            np_loss = self.np_cross_entropy_loss(x, label)
+            self.assertTrue(np.allclose(np_loss, pd_loss))
+
+    def test_ce_loss_soft_label(self, ):
+        batch_size = 32
+        class_num = 1000
+
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+        for device in devices:
+            paddle.set_device(device)
+            x = paddle.rand([batch_size, class_num])
+            label = paddle.rand([batch_size, class_num])
+            label = paddle.nn.functional.softmax(label, axis=-1)
+
+            loss_func = CELoss(label_act=None)
+            pd_loss = loss_func(x, label).numpy()
+            np_loss = self.np_cross_entropy_soft(x, label)
+            self.assertTrue(np.allclose(np_loss, pd_loss))
+
+
+class TestDMLLoss(unittest.TestCase):
+    """TestDMLLoss
+    TestDMLLoss contains:
+        1. unittest of basic loss
+        2. unittest of distillation loss
+    """
+
+    def stable_softmax(self, x):
+        shiftx = (x - np.max(x)).clip(-64.)
+        exps = np.exp(shiftx)
+        return exps / np.sum(exps)
+
+    def ref_softmax(self, x, axis=-1, dtype=None):
+        if isinstance(x, paddle.Tensor):
+            x = x.numpy()
+        x_t = x.copy()
+        if dtype is not None:
+            x_t = x_t.astype(dtype)
+        return np.apply_along_axis(self.stable_softmax, axis, x_t)
+
+    def kldiv_loss(self, x, target, reduction="batchmean"):
+        output = target * (np.log(target) - x)
+        loss = np.where(target >= 0, output, np.zeros_like(x))
+
+        if reduction == "batchmean":
+            if len(x.shape) > 0:
+                return loss.sum() / x.shape[0]
+            else:
+                return loss.sum()
+        if reduction == "mean":
+            return loss.mean()
+        if reduction == "sum":
+            return loss.sum()
+        return loss
+
+    def np_dml_loss(self, x, target, act="softmax"):
+        if isinstance(x, paddle.Tensor):
+            x = x.numpy()
+        if isinstance(target, paddle.Tensor):
+            target = target.numpy()
+        soft_x = self.ref_softmax(x, axis=-1)
+        soft_target = self.ref_softmax(target, axis=-1)
+
+        log_soft_x = np.log(soft_x)
+        log_soft_target = np.log(soft_target)
+        loss = (self.kldiv_loss(log_soft_x, soft_target) + self.kldiv_loss(
+            log_soft_target, soft_x)) / 2.0
+        return loss
+
+    def test_basic_dml_loss(self, ):
+        batch_size = 32
+        class_num = 1000
+
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+        for device in devices:
+            paddle.set_device(device)
+            x = paddle.rand([batch_size, class_num])
+            target = paddle.rand([batch_size, class_num])
+
+            loss_func = DMLLoss(act="softmax")
+            pd_loss = loss_func(x, target).numpy()
+            np_loss = self.np_dml_loss(x, target)
+            self.assertTrue(np.allclose(np_loss, pd_loss))
+
+    def dist_np_dml_loss(
+            self,
+            predicts,
+            model_name_pairs=(["", ""]),
+            key=None,
+            name="loss_dml", ):
+        loss_dict = dict()
+        for idx, pair in enumerate(model_name_pairs):
+            out1 = predicts[pair[0]]
+            out2 = predicts[pair[1]]
+            if key is not None:
+                out1 = out1[key]
+                out2 = out2[key]
+            loss_dict["{}_{}_{}_{}".format(name, pair[0], pair[1],
+                                           idx)] = self.np_dml_loss(out1, out2)
+        return loss_dict
+
+    def calc_distillation_dml_loss(self, predicts, pairs, key=None):
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+
+        for device in devices:
+            paddle.set_device(device)
+            loss_func = DistillationDMLLoss(
+                act="softmax", model_name_pairs=pairs, key=key)
+            np_result_dict = self.dist_np_dml_loss(
+                predicts, model_name_pairs=pairs, key=key)
+            pd_result_dict = loss_func(predicts, None)
+            for k in np_result_dict:
+                pd_result = pd_result_dict[k].numpy()
+                np_result = np_result_dict[k]
+                self.assertTrue(np.allclose(np_result, pd_result))
+
+    def test_distillation_dml_loss(self, ):
+        shape = [20, 10]
+        x_feat_name = "student"
+        y_feat_name = "teacher"
+        pairs = [[x_feat_name, y_feat_name]]
+        predicts = {
+            "student": paddle.rand(shape),
+            "teacher": paddle.rand(shape),
+        }
+        self.calc_distillation_dml_loss(predicts, pairs, key=None)
+
+        predicts = {
+            "student": {
+                "feat": paddle.rand(shape),
+            },
+            "teacher": {
+                "feat": paddle.rand(shape),
+            },
+        }
+        self.calc_distillation_dml_loss(predicts, pairs, key="feat")
+
+
+class TestRKDLoss(unittest.TestCase):
+    def pdist(self, e, squared=False, eps=1e-12):
+        e_square = np.power(e, 2).sum(axis=1)
+        prod = np.matmul(e, e.transpose())
+        res = (
+            np.expand_dims(e_square, 1) + np.expand_dims(e_square, 0) - 2 * prod
+        ).clip(eps, sys.float_info.max)
+        if not squared:
+            res = np.sqrt(res)
+        return res
+
+    def p_normalize(self, x, axis=1, p=2, epsilon=1e-12, keepdims=True):
+        xp = np.power(np.abs(x), p)
+        s = np.sum(xp, axis=axis, keepdims=keepdims)
+        r = np.maximum(np.power(s, 1.0 / p), epsilon)
+        return x / r
+
+    def np_smooth_l1_loss(self, x, y):
+        diff = np.abs(x - y)
+        diff_square = 0.5 * np.square(diff)
+        loss = np.where(diff >= 1, diff - 0.5, diff_square).mean()
+        return loss
+
+    def np_rkd_distance(self, student, teacher, eps=1e-12):
+        if isinstance(student, paddle.Tensor):
+            student = student.numpy()
+        if isinstance(teacher, paddle.Tensor):
+            teacher = teacher.numpy()
+        bs = student.shape[0]
+        student = student.reshape([bs, -1])
+        teacher = teacher.reshape([bs, -1])
+
+        t_d = self.pdist(teacher, squared=False)
+        mean_td = t_d.mean()
+        t_d = t_d / (mean_td + eps)
+
+        d = self.pdist(student, squared=False)
+        mean_d = d.mean()
+        d = d / (mean_d + eps)
+
+        loss = self.np_smooth_l1_loss(d, t_d)
+        return loss
+
+    def np_rkd_angle(self, student, teacher):
+        if isinstance(student, paddle.Tensor):
+            student = student.numpy()
+        if isinstance(teacher, paddle.Tensor):
+            teacher = teacher.numpy()
+
+        # reshape for feature map distillation
+        bs = student.shape[0]
+        student = student.reshape([bs, -1])
+        teacher = teacher.reshape([bs, -1])
+
+        td = np.expand_dims(teacher, 0) - np.expand_dims(teacher, 1)
+        norm_td = self.p_normalize(td, axis=2, p=2)
+        t_angle = np.matmul(norm_td, norm_td.transpose([0, 2, 1])).reshape(
+            [-1, 1])
+
+        sd = np.expand_dims(student, 0) - np.expand_dims(student, 1)
+        norm_sd = self.p_normalize(sd, axis=2, p=2)
+        s_angle = np.matmul(norm_sd, norm_sd.transpose([0, 2, 1])).reshape(
+            [-1, 1])
+
+        loss = self.np_smooth_l1_loss(s_angle, t_angle)
+        return loss
+
+    def test_rkd_distance_loss(self, ):
+        batch_size = 32
+        feat_dim = 100
+
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+        for device in devices:
+            paddle.set_device(device)
+            paddle.seed(0)
+            x = paddle.rand([batch_size, feat_dim])
+            y = paddle.rand([batch_size, feat_dim])
+
+            loss_func = RkdDistance()
+            pd_loss = loss_func(x, y).numpy()
+            np_loss = self.np_rkd_distance(x, y)
+            # NOTE: sqrt is included and seed is set for stability
+            self.assertTrue(
+                np.allclose(
+                    np_loss, pd_loss, rtol=1e-5, atol=1e-07))
+
+    def test_rkd_angle_loss(self, ):
+        batch_size = 32
+        feat_dim = 100
+
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+        for device in devices:
+            paddle.set_device(device)
+            paddle.seed(0)
+            x = paddle.rand([batch_size, feat_dim])
+            y = paddle.rand([batch_size, feat_dim])
+
+            loss_func = RKdAngle()
+            pd_loss = loss_func(x, y).numpy()
+            np_loss = self.np_rkd_angle(x, y)
+            # NOTE: sqrt is included and seed is set for stability
+            self.assertTrue(np.allclose(np_loss, pd_loss))
+
+    def dist_np_rkd_loss(
+            self,
+            predicts,
+            model_name_pairs=(["", ""]),
+            key=None,
+            name="loss_rkd", ):
+        loss_dict = dict()
+        for idx, pair in enumerate(model_name_pairs):
+            out1 = predicts[pair[0]]
+            out2 = predicts[pair[1]]
+            if key is not None:
+                out1 = out1[key]
+                out2 = out2[key]
+            loss_dict["{}_{}_{}_angle_{}".format(name, pair[0], pair[
+                1], idx)] = self.np_rkd_angle(out1, out2)
+
+            loss_dict["{}_{}_{}_dist_{}".format(name, pair[0], pair[
+                1], idx)] = self.np_rkd_distance(out1, out2)
+        return loss_dict
+
+    def calc_distillation_rkd_loss(self, predicts, pairs, key=None):
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+
+        for device in devices:
+            paddle.set_device(device)
+            loss_func = DistillationRKDLoss(model_name_pairs=pairs, key=key)
+            np_result_dict = self.dist_np_rkd_loss(
+                predicts, model_name_pairs=pairs, key=key)
+            pd_result_dict = loss_func(predicts, None)
+            for k in np_result_dict:
+                pd_result = pd_result_dict[k].numpy()
+                np_result = np_result_dict[k]
+                self.assertTrue(np.allclose(np_result, pd_result, rtol=1e-5))
+
+    def test_distillation_rkd_loss(self, ):
+        shape = [32, 16]
+        x_feat_name = "student"
+        y_feat_name = "teacher"
+        pairs = [[x_feat_name, y_feat_name]]
+        paddle.seed(0)
+        predicts = {
+            "student": paddle.rand(shape),
+            "teacher": paddle.rand(shape),
+        }
+        self.calc_distillation_rkd_loss(predicts, pairs, key=None)
+
+        predicts = {
+            "student": {
+                "feat": paddle.rand(shape),
+            },
+            "teacher": {
+                "feat": paddle.rand(shape),
+            },
+        }
+        self.calc_distillation_rkd_loss(predicts, pairs, key="feat")
+
+
+class TestCombinedLoss(unittest.TestCase):
+    def stable_softmax(self, x):
+        shiftx = (x - np.max(x)).clip(-64.)
+        exps = np.exp(shiftx)
+        return exps / np.sum(exps)
+
+    def ref_softmax(self, x, axis=-1, dtype=None):
+        if isinstance(x, paddle.Tensor):
+            x = x.numpy()
+        x_t = x.copy()
+        if dtype is not None:
+            x_t = x_t.astype(dtype)
+        return np.apply_along_axis(self.stable_softmax, axis, x_t)
+
+    def kldiv_loss(self, x, target, reduction="batchmean"):
+        output = target * (np.log(target) - x)
+        loss = np.where(target >= 0, output, np.zeros_like(x))
+
+        if reduction == "batchmean":
+            if len(x.shape) > 0:
+                return loss.sum() / x.shape[0]
+            else:
+                return loss.sum()
+        if reduction == "mean":
+            return loss.mean()
+        if reduction == "sum":
+            return loss.sum()
+        return loss
+
+    def np_dml_loss(self, x, target, act="softmax"):
+        if isinstance(x, paddle.Tensor):
+            x = x.numpy()
+        if isinstance(target, paddle.Tensor):
+            target = target.numpy()
+        soft_x = self.ref_softmax(x, axis=-1)
+        soft_target = self.ref_softmax(target, axis=-1)
+
+        log_soft_x = np.log(soft_x)
+        log_soft_target = np.log(soft_target)
+        loss = (self.kldiv_loss(log_soft_x, soft_target) + self.kldiv_loss(
+            log_soft_target, soft_x)) / 2.0
+        return loss
+
+    def dist_np_dml_loss(
+            self,
+            predicts,
+            model_name_pairs=(["", ""]),
+            key=None,
+            act="softmax",
+            name="loss_dml", ):
+        loss_dict = dict()
+        for idx, pair in enumerate(model_name_pairs):
+            out1 = predicts[pair[0]]
+            out2 = predicts[pair[1]]
+            if key is not None:
+                out1 = out1[key]
+                out2 = out2[key]
+            loss_dict["{}_{}_{}_{}".format(name, pair[0], pair[1],
+                                           idx)] = self.np_dml_loss(out1, out2)
+        return loss_dict
+
+    def np_combined_loss(self, predicts, loss_cfg_list):
+        # NOTE, dml is set as the list for combined loss
+        loss_dict = dict()
+        for idx, loss_func in enumerate(loss_cfg_list):
+            cfg = copy.deepcopy(loss_func["DistillationDMLLoss"])
+            weight = cfg.pop("weight")
+            loss = self.dist_np_dml_loss(predicts, **cfg)
+
+            if isinstance(loss, np.ndarray):
+                loss = {"loss_{}_{}".format(str(loss), idx): loss}
+            else:
+                loss = {
+                    "{}_{}".format(key, idx): loss[key] * weight
+                    for key in loss
+                }
+            loss_dict.update(loss)
+        loss_dict["loss"] = np.sum(list(loss_dict.values()))
+
+        return loss_dict
+
+    def test_combined_loss(self, ):
+        shape = [32, 16]
+        x_feat_name = "student"
+        y_feat_name = "teacher"
+        pairs = [[x_feat_name, y_feat_name]]
+        paddle.seed(0)
+        predicts = {
+            "student": paddle.rand(shape),
+            "teacher": paddle.rand(shape),
+        }
+
+        devices = ["cpu"]
+        if paddle.is_compiled_with_cuda():
+            devices.append("gpu")
+
+        loss_cfg_list = [{
+            "DistillationDMLLoss": {
+                "weight": 1.0,
+                "act": "softmax",
+                "model_name_pairs": pairs,
+                "key": None
+            }
+        }, ]
+
+        for device in devices:
+            paddle.set_device(device)
+            loss_func = CombinedLoss(loss_config_list=loss_cfg_list)
+            pd_result_dict = loss_func(predicts, None)
+            np_result_dict = self.np_combined_loss(predicts, loss_cfg_list)
+            for k in pd_result_dict:
+                pd_result = pd_result_dict[k].numpy()
+                np_result = np_result_dict[k]
+                self.assertTrue(np.allclose(np_result, pd_result))
+
+
+if __name__ == '__main__':
+    unittest.main()