diff --git a/paddle/fluid/operators/adadelta_op.cc b/paddle/fluid/operators/adadelta_op.cc
index d1970515f58969948b1d2db5847e4344112f77f9..89a7a49e0fa8427826f5d91274912a68f2316b61 100644
--- a/paddle/fluid/operators/adadelta_op.cc
+++ b/paddle/fluid/operators/adadelta_op.cc
@@ -18,6 +18,7 @@ namespace paddle {
 namespace operators {
 
 using Tensor = framework::Tensor;
+
 class AdadeltaOp : public framework::OperatorWithKernel {
  public:
   using framework::OperatorWithKernel::OperatorWithKernel;
@@ -31,6 +32,16 @@ class AdadeltaOp : public framework::OperatorWithKernel {
                    "Input(AvgSquaredGrad) of AdadeltaOp should not be null.");
     PADDLE_ENFORCE(ctx->HasInput("AvgSquaredUpdate"),
                    "Input(AvgSquaredUpdate) of AdadeltaOp should not be null.");
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Param").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Param").front(), ctx->GetInputsVarType("Param").front());
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Grad").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Grad").front(), ctx->GetInputsVarType("Grad").front());
 
     PADDLE_ENFORCE(ctx->HasOutput("ParamOut"),
                    "Output(ParamOut) of AdadeltaOp should not be null.");
@@ -56,6 +67,7 @@ class AdadeltaOp : public framework::OperatorWithKernel {
     ctx->SetOutputDim("AvgSquaredGradOut", param_dim);
     ctx->SetOutputDim("AvgSquaredUpdateOut", param_dim);
   }
+
   framework::OpKernelType GetExpectedKernelType(
       const framework::ExecutionContext &ctx) const override {
     auto input_data_type =
diff --git a/paddle/fluid/operators/adadelta_op.h b/paddle/fluid/operators/adadelta_op.h
index 822458daf663d99bbb38d99205f51163a0df4c4d..6c616aa03d9809e9b7725a700c7edd5ff5d6dc42 100644
--- a/paddle/fluid/operators/adadelta_op.h
+++ b/paddle/fluid/operators/adadelta_op.h
@@ -23,6 +23,17 @@ template <typename DeviceContext, typename T>
 class AdadeltaOpKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+    const auto* grad_var = ctx.InputVar("Grad");
+    PADDLE_ENFORCE(grad_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Grad").front(), grad_var->Type().name());
+
     auto param_out_tensor = ctx.Output<framework::Tensor>("ParamOut");
     auto avg_squared_grad_out_tensor =
         ctx.Output<framework::Tensor>("AvgSquaredGradOut");
diff --git a/paddle/fluid/operators/adagrad_op.h b/paddle/fluid/operators/adagrad_op.h
index df520fcc898ff5514927dbdd845ecaecdcf3c147..0a16ce00f71586ef55007c3753e024be29d0ed56 100644
--- a/paddle/fluid/operators/adagrad_op.h
+++ b/paddle/fluid/operators/adagrad_op.h
@@ -13,6 +13,7 @@ See the License for the specific language governing permissions and
 limitations under the License. */
 
 #pragma once
+
 #include "paddle/fluid/framework/eigen.h"
 #include "paddle/fluid/framework/op_registry.h"
 
@@ -21,25 +22,31 @@ namespace operators {
 
 template <typename DeviceContext, typename T>
 struct SparseAdagradFunctor {
-  void operator()(const DeviceContext& context,
-                  const framework::SelectedRows& grad,
-                  const framework::Tensor& learning_rate, T epsilon,
-                  framework::Tensor* moment, framework::Tensor* param);
+  void operator()(const DeviceContext &context,
+                  const framework::SelectedRows &grad,
+                  const framework::Tensor &learning_rate, T epsilon,
+                  framework::Tensor *moment, framework::Tensor *param);
 };
 
 template <typename DeviceContext, typename T>
 class AdagradOpKernel : public framework::OpKernel<T> {
  public:
-  void Compute(const framework::ExecutionContext& ctx) const override {
-    auto* param_out_tensor = ctx.Output<framework::Tensor>("ParamOut");
-    auto* moment_out_tensor = ctx.Output<framework::Tensor>("MomentOut");
+  void Compute(const framework::ExecutionContext &ctx) const override {
+    const auto *param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+
+    auto *param_out_tensor = ctx.Output<framework::Tensor>("ParamOut");
+    auto *moment_out_tensor = ctx.Output<framework::Tensor>("MomentOut");
 
     param_out_tensor->mutable_data<T>(ctx.GetPlace());
     moment_out_tensor->mutable_data<T>(ctx.GetPlace());
 
     T epsilon = static_cast<T>(ctx.Attr<float>("epsilon"));
 
-    auto* grad_var = ctx.InputVar("Grad");
+    auto *grad_var = ctx.InputVar("Grad");
     if (grad_var->IsType<framework::LoDTensor>()) {
       auto param = framework::EigenVector<T>::Flatten(
           *ctx.Input<framework::Tensor>("Param"));
@@ -47,16 +54,16 @@ class AdagradOpKernel : public framework::OpKernel<T> {
           *ctx.Input<framework::Tensor>("Grad"));
       auto moment = framework::EigenVector<T>::Flatten(
           *ctx.Input<framework::Tensor>("Moment"));
-      auto* learning_rate = ctx.Input<framework::Tensor>("LearningRate");
+      auto *learning_rate = ctx.Input<framework::Tensor>("LearningRate");
 
       auto param_out = framework::EigenVector<T>::Flatten(*param_out_tensor);
       auto moment_out = framework::EigenVector<T>::Flatten(*moment_out_tensor);
-      auto* place = ctx.template device_context<DeviceContext>().eigen_device();
+      auto *place = ctx.template device_context<DeviceContext>().eigen_device();
 
       moment_out.device(*place) = moment + grad * grad;
       Eigen::DSizes<int, 1> m_dsize(moment_out_tensor->numel());
       if (platform::is_cpu_place(ctx.GetPlace())) {
-        auto* lr = learning_rate->data<T>();
+        auto *lr = learning_rate->data<T>();
         param_out.device(*place) =
             param - lr[0] * grad / (moment_out.sqrt() + epsilon);
       } else {
@@ -66,10 +73,10 @@ class AdagradOpKernel : public framework::OpKernel<T> {
             lr.broadcast(m_dsize) * grad / (moment_out.sqrt() + epsilon);
       }
     } else if (grad_var->IsType<framework::SelectedRows>()) {
-      auto* param_tensor = ctx.Input<framework::Tensor>("Param");
+      auto *param_tensor = ctx.Input<framework::Tensor>("Param");
       PADDLE_ENFORCE_EQ(param_tensor, param_out_tensor);
 
-      auto* moment_tensor = ctx.Input<framework::Tensor>("Moment");
+      auto *moment_tensor = ctx.Input<framework::Tensor>("Moment");
       PADDLE_ENFORCE_EQ(moment_tensor, moment_out_tensor);
 
       SparseAdagradFunctor<DeviceContext, T> functor;
diff --git a/paddle/fluid/operators/adam_op.h b/paddle/fluid/operators/adam_op.h
index 4cb1f3a80e95bdda79e6451dc3cc87e899b11779..3455d1ee54e8e6e498d0b0e6932ec099af9c0b30 100644
--- a/paddle/fluid/operators/adam_op.h
+++ b/paddle/fluid/operators/adam_op.h
@@ -18,6 +18,7 @@ limitations under the License. */
 #include <vector>
 #include "paddle/fluid/framework/op_registry.h"
 #include "paddle/fluid/operators/detail/safe_ref.h"
+#include "paddle/fluid/operators/math/algorithm.h"
 #include "paddle/fluid/operators/math/selected_rows_functor.h"
 #include "paddle/fluid/platform/for_range.h"
 
@@ -199,23 +200,9 @@ struct SparseAdamFunctor {
         row_numel_(row_numel),
         row_count_(row_count) {}
 
-  inline HOSTDEVICE int64_t BinarySearchInRows(int64_t row) const {
-    int64_t beg = 0, end = row_count_ - 1;
-    while (beg <= end) {
-      auto mid = ((beg + end) >> 1);
-      if (rows_[mid] == row)
-        return mid;
-      else if (rows_[mid] < row)
-        beg = mid + 1;
-      else
-        end = mid - 1;
-    }
-    return -1;
-  }
-
   inline HOSTDEVICE void operator()(size_t i) const {
-    int64_t row = i / row_numel_;
-    auto row_idx = BinarySearchInRows(row);
+    auto row_idx =
+        math::BinarySearch<int64_t>(rows_, row_count_, i / row_numel_);
     T g = row_idx >= 0 ? grad_[row_idx * row_numel_ + i % row_numel_] : 0;
 
     // The following code is the same as dense
@@ -244,6 +231,12 @@ template <typename DeviceContext, typename T>
 class AdamOpKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+
     using paddle::framework::LoDTensor;
     using paddle::operators::detail::Ref;
 
diff --git a/paddle/fluid/operators/adamax_op.cc b/paddle/fluid/operators/adamax_op.cc
index 32062574bcf71ff96e451eaa6865b6bbfc3b1c80..d4aa4d338a2379adf985ba7f89b528bc402eda06 100644
--- a/paddle/fluid/operators/adamax_op.cc
+++ b/paddle/fluid/operators/adamax_op.cc
@@ -35,6 +35,16 @@ class AdamaxOp : public framework::OperatorWithKernel {
                    "Input(LearningRate) of AdamaxOp should not be null.");
     PADDLE_ENFORCE(ctx->HasInput("Beta1Pow"),
                    "Input(Beta1Pow) of AdamaxOp should not be null.");
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Param").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Param").front(), ctx->GetInputsVarType("Param").front());
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Grad").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Grad").front(), ctx->GetInputsVarType("Grad").front());
 
     PADDLE_ENFORCE(ctx->HasOutput("ParamOut"),
                    "Output(ParamOut) of AdamaxOp should not be null.");
diff --git a/paddle/fluid/operators/adamax_op.h b/paddle/fluid/operators/adamax_op.h
index de644676fd9c3fabdbf01d2fd9c69858c2627ed3..7137fbd9651b4523f6d1609a0595b30758aa40df 100644
--- a/paddle/fluid/operators/adamax_op.h
+++ b/paddle/fluid/operators/adamax_op.h
@@ -23,6 +23,17 @@ template <typename DeviceContext, typename T>
 class AdamaxOpKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+    const auto* grad_var = ctx.InputVar("Grad");
+    PADDLE_ENFORCE(grad_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Grad").front(), grad_var->Type().name());
+
     auto param_out_tensor = ctx.Output<framework::Tensor>("ParamOut");
     auto moment_out_tensor = ctx.Output<framework::Tensor>("MomentOut");
     auto inf_norm_out_tensor = ctx.Output<framework::Tensor>("InfNormOut");
diff --git a/paddle/fluid/operators/decayed_adagrad_op.cc b/paddle/fluid/operators/decayed_adagrad_op.cc
index c0f2b49a04d9e88502c4b63bca493cd2b7ad1c5c..d73ae9e2721b388212cb6efa354eb4b480df9cad 100644
--- a/paddle/fluid/operators/decayed_adagrad_op.cc
+++ b/paddle/fluid/operators/decayed_adagrad_op.cc
@@ -32,6 +32,16 @@ class DecayedAdagradOp : public framework::OperatorWithKernel {
     PADDLE_ENFORCE(
         ctx->HasInput("LearningRate"),
         "Input(LearningRate) of DecayedAdagradOp should not be null.");
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Param").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Param").front(), ctx->GetInputsVarType("Param").front());
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Grad").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Grad").front(), ctx->GetInputsVarType("Grad").front());
 
     PADDLE_ENFORCE(ctx->HasOutput("ParamOut"),
                    "Output(ParamOut) of DecayedAdagradOp should not be null.");
diff --git a/paddle/fluid/operators/decayed_adagrad_op.h b/paddle/fluid/operators/decayed_adagrad_op.h
index a46af078e0c6b4bf1faca0570b6a97b026864f13..5df43d33ef9f720fd20d57c53ff37cc85440b24e 100644
--- a/paddle/fluid/operators/decayed_adagrad_op.h
+++ b/paddle/fluid/operators/decayed_adagrad_op.h
@@ -23,6 +23,17 @@ template <typename DeviceContext, typename T>
 class DecayedAdagradOpKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+    const auto* grad_var = ctx.InputVar("Grad");
+    PADDLE_ENFORCE(grad_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Grad").front(), grad_var->Type().name());
+
     auto param_out_tensor = ctx.Output<framework::Tensor>("ParamOut");
     auto moment_out_tensor = ctx.Output<framework::Tensor>("MomentOut");
 
diff --git a/paddle/fluid/operators/ftrl_op.cc b/paddle/fluid/operators/ftrl_op.cc
index 70ba25c213046cc934f46be067080d5fdbb42f9e..b77e12d6508eb07ae137b313ca91eac951afbcbe 100644
--- a/paddle/fluid/operators/ftrl_op.cc
+++ b/paddle/fluid/operators/ftrl_op.cc
@@ -34,6 +34,16 @@ class FTRLOp : public framework::OperatorWithKernel {
                    "Input(Grad) of FTRL should not be null.");
     PADDLE_ENFORCE(ctx->HasInput("LearningRate"),
                    "Input(LearningRate) of FTRL should not be null.");
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Param").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Param").front(), ctx->GetInputsVarType("Param").front());
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Grad").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Grad").front(), ctx->GetInputsVarType("Grad").front());
 
     PADDLE_ENFORCE(ctx->HasOutput("ParamOut"),
                    "Output(ParamOut) of FTRL should not be null.");
diff --git a/paddle/fluid/operators/ftrl_op.h b/paddle/fluid/operators/ftrl_op.h
index 6f821e7e9944214fc5ebdf6bc7db8789b8ada6b9..8f812c9a037bfac8c1e29e32a5ad5b077c8153d1 100644
--- a/paddle/fluid/operators/ftrl_op.h
+++ b/paddle/fluid/operators/ftrl_op.h
@@ -28,6 +28,17 @@ template <typename DeviceContext, typename T>
 class FTRLOpKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+    const auto* grad_var = ctx.InputVar("Grad");
+    PADDLE_ENFORCE(grad_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Grad").front(), grad_var->Type().name());
+
     auto* param_out = ctx.Output<Tensor>("ParamOut");
     auto* sq_accum_out = ctx.Output<Tensor>("SquaredAccumOut");
     auto* lin_accum_out = ctx.Output<Tensor>("LinearAccumOut");
diff --git a/paddle/fluid/operators/math/algorithm.h b/paddle/fluid/operators/math/algorithm.h
new file mode 100644
index 0000000000000000000000000000000000000000..262469beea7449eb5820b86de1ac4f790a833e79
--- /dev/null
+++ b/paddle/fluid/operators/math/algorithm.h
@@ -0,0 +1,44 @@
+// Copyright (c) 2018 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.
+
+#pragma once
+
+#include <algorithm>
+#include <cstdint>  // for int64_t
+#include <numeric>
+
+#include "paddle/fluid/platform/hostdevice.h"
+
+namespace paddle {
+namespace operators {
+namespace math {
+
+template <typename T>
+HOSTDEVICE inline int64_t BinarySearch(const T *x, int64_t num, const T &val) {
+  int64_t beg = 0, end = num - 1;
+  while (beg <= end) {
+    auto mid = ((beg + end) >> 1);
+    if (x[mid] == val)
+      return mid;
+    else if (x[mid] < val)
+      beg = mid + 1;
+    else
+      end = mid - 1;
+  }
+  return -1;
+}
+
+}  // namespace math
+}  // namespace operators
+}  // namespace paddle
diff --git a/paddle/fluid/operators/momentum_op.cc b/paddle/fluid/operators/momentum_op.cc
index 5f43c5810812260c4384349bdb709716c9a182f5..c8079a99fb8c8e05144c5390794db7757e74f6ae 100644
--- a/paddle/fluid/operators/momentum_op.cc
+++ b/paddle/fluid/operators/momentum_op.cc
@@ -33,6 +33,11 @@ class MomentumOp : public framework::OperatorWithKernel {
                    "Input(velocity) of Momentum should not be null.");
     PADDLE_ENFORCE(ctx->HasInput("LearningRate"),
                    "Input(LearningRate) of Momentum should not be null.");
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Param").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Param").front(), ctx->GetInputsVarType("Param").front());
 
     PADDLE_ENFORCE(ctx->HasOutput("ParamOut"),
                    "Output(ParamOut) of Momentum should not be null.");
diff --git a/paddle/fluid/operators/momentum_op.cu b/paddle/fluid/operators/momentum_op.cu
index a3932db1f3a50305d585cd3d5e86fa1b527df78b..5dc920c70979ad5c3d4fb3acc8d2dacaffe386c0 100644
--- a/paddle/fluid/operators/momentum_op.cu
+++ b/paddle/fluid/operators/momentum_op.cu
@@ -46,6 +46,17 @@ template <typename T>
 class MomentumOpCUDAKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+    const auto* grad_var = ctx.InputVar("Grad");
+    PADDLE_ENFORCE(grad_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Grad").front(), grad_var->Type().name());
+
     auto param_out = ctx.Output<framework::Tensor>("ParamOut");
     auto velocity_out = ctx.Output<framework::Tensor>("VelocityOut");
     auto param = ctx.Input<framework::Tensor>("Param");
diff --git a/paddle/fluid/operators/momentum_op.h b/paddle/fluid/operators/momentum_op.h
index 264726040fb566a52b8c0cdee0a1524197d2a675..40073d21b7186ad319e4988e667750c267581300 100644
--- a/paddle/fluid/operators/momentum_op.h
+++ b/paddle/fluid/operators/momentum_op.h
@@ -23,6 +23,12 @@ template <typename T>
 class MomentumOpKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+
     auto param_out = ctx.Output<framework::Tensor>("ParamOut");
     auto velocity_out = ctx.Output<framework::Tensor>("VelocityOut");
     auto param = ctx.Input<framework::Tensor>("Param");
diff --git a/paddle/fluid/operators/rmsprop_op.cc b/paddle/fluid/operators/rmsprop_op.cc
index 2f773f222e50a440801b06a4fd997bf237b34772..f06f87e61d3a4d1fc8b864b9dd84e697fb12a006 100644
--- a/paddle/fluid/operators/rmsprop_op.cc
+++ b/paddle/fluid/operators/rmsprop_op.cc
@@ -32,6 +32,11 @@ class RmspropOp : public framework::OperatorWithKernel {
                    "Input(Grad) of RmspropOp should not be null.");
     PADDLE_ENFORCE(ctx->HasInput("Moment"),
                    "Input(Moment) of RmspropOp should not be null.");
+    PADDLE_ENFORCE(
+        ctx->GetInputsVarType("Param").front() ==
+            framework::proto::VarType::LOD_TENSOR,
+        "The input var's type should be LoDTensor, but the received is %s",
+        ctx->Inputs("Param").front(), ctx->GetInputsVarType("Param").front());
 
     PADDLE_ENFORCE(ctx->HasOutput("ParamOut"),
                    "Output(param_out) of RmspropOp should not be null.");
diff --git a/paddle/fluid/operators/rmsprop_op.h b/paddle/fluid/operators/rmsprop_op.h
index 25ed32c5ebb2ff5be962ac1e3e38c970623d705c..2a1527a3d97cf33dc77160a1890eae29e77129d7 100644
--- a/paddle/fluid/operators/rmsprop_op.h
+++ b/paddle/fluid/operators/rmsprop_op.h
@@ -13,66 +13,259 @@ See the License for the specific language governing permissions and
 limitations under the License. */
 
 #pragma once
+#include <math.h>
 #include "paddle/fluid/framework/eigen.h"
 #include "paddle/fluid/framework/op_registry.h"
+#include "paddle/fluid/operators/math/algorithm.h"
+#include "paddle/fluid/operators/math/selected_rows_functor.h"
+#include "paddle/fluid/platform/for_range.h"
 
 namespace paddle {
 namespace operators {
 
-using Tensor = framework::Tensor;
 template <typename T, int MajorType = Eigen::RowMajor,
           typename IndexType = Eigen::DenseIndex>
 using EigenVector = framework::EigenVector<T, MajorType, IndexType>;
 
+template <typename T>
+struct DenseRmspropGradFunctor {
+  inline explicit DenseRmspropGradFunctor(const T *grad) : grad_(grad) {}
+
+  HOSTDEVICE inline T operator()(int64_t idx) const { return grad_[idx]; }
+
+  const T *grad_;
+};
+
+template <typename T>
+struct SparseRmspropGradFunctor {
+  inline SparseRmspropGradFunctor(const T *grad, const int64_t *rows,
+                                  int64_t row_numel, int64_t row_count)
+      : grad_(grad),
+        rows_(rows),
+        row_numel_(row_numel),
+        row_count_(row_count) {}
+
+  HOSTDEVICE inline T operator()(int64_t idx) const {
+    auto row_idx = math::BinarySearch(rows_, row_count_, idx / row_numel_);
+    return row_idx >= 0 ? grad_[row_idx * row_numel_ + idx % row_numel_] : 0;
+  }
+
+  const T *grad_;
+  const int64_t *rows_;
+  int64_t row_numel_;
+  int64_t row_count_;
+};
+
+template <typename T, typename GradFunctor>
+struct UncenteredRmspropFunctor {
+  UncenteredRmspropFunctor(T *param, T *ms, T *mom, const T *lr, T rho,
+                           T epsilon, T momentum,
+                           const GradFunctor &grad_functor)
+      : param_(param),
+        ms_(ms),
+        mom_(mom),
+        lr_(lr),
+        rho_(rho),
+        epsilon_(epsilon),
+        momentum_(momentum),
+        grad_functor_(grad_functor) {}
+
+  HOSTDEVICE inline void operator()(int64_t idx) const {
+    T g = grad_functor_(idx);
+    T ms_out = rho_ * ms_[idx] + (1 - rho_) * g * g;
+    T mom_out = momentum_ * mom_[idx] + lr_[0] * g / sqrt(ms_out + epsilon_);
+    param_[idx] -= mom_out;
+    ms_[idx] = ms_out;
+    mom_[idx] = mom_out;
+  }
+
+  T *param_;
+  T *ms_;
+  T *mom_;
+  const T *lr_;
+  T rho_;
+  T epsilon_;
+  T momentum_;
+  GradFunctor grad_functor_;
+};
+
+template <typename T, typename GradFunctor>
+struct CenteredRmspropFunctor {
+  CenteredRmspropFunctor(T *param, T *ms, T *mom, T *mean_grad, const T *lr,
+                         T rho, T epsilon, T momentum,
+                         const GradFunctor &grad_functor)
+      : param_(param),
+        ms_(ms),
+        mom_(mom),
+        mean_grad_(mean_grad),
+        lr_(lr),
+        rho_(rho),
+        epsilon_(epsilon),
+        momentum_(momentum),
+        grad_functor_(grad_functor) {}
+
+  HOSTDEVICE inline void operator()(int64_t idx) const {
+    T g = grad_functor_(idx);
+    T ms_out = rho_ * ms_[idx] + (1 - rho_) * g * g;
+    T mg_out = rho_ * mean_grad_[idx] + (1 - rho_) * g;
+    T mom_out = momentum_ * mom_[idx] +
+                lr_[0] * g / sqrt(ms_out - mg_out * mg_out + epsilon_);
+    param_[idx] -= mom_out;
+    ms_[idx] = ms_out;
+    mom_[idx] = mom_out;
+    mean_grad_[idx] = mg_out;
+  }
+
+  T *param_;
+  T *ms_;
+  T *mom_;
+  T *mean_grad_;
+  const T *lr_;
+  T rho_;
+  T epsilon_;
+  T momentum_;
+  GradFunctor grad_functor_;
+};
+
 template <typename DeviceContext, typename T>
 class RmspropOpKernel : public framework::OpKernel<T> {
  public:
-  void Compute(const framework::ExecutionContext& ctx) const override {
-    auto* param_out = ctx.Output<Tensor>("ParamOut");
-    auto* moment_out = ctx.Output<Tensor>("MomentOut");
-    auto* mean_square_out = ctx.Output<Tensor>("MeanSquareOut");
+  void Compute(const framework::ExecutionContext &ctx) const override {
+    using LoDTensor = framework::LoDTensor;
+    const auto *param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+    auto *grad_var = ctx.InputVar("Grad");
+    auto *param_out = ctx.Output<LoDTensor>("ParamOut");
+    auto *moment_out = ctx.Output<LoDTensor>("MomentOut");
+    auto *mean_square_out = ctx.Output<LoDTensor>("MeanSquareOut");
 
-    auto grad = ctx.Input<Tensor>("Grad");
+    auto epsilon = static_cast<T>(ctx.Attr<float>("epsilon"));
+    auto rho = static_cast<T>(ctx.Attr<float>("decay"));
+    auto momentum = static_cast<T>(ctx.Attr<float>("momentum"));
+    bool centered = ctx.Attr<bool>("centered");
 
-    param_out->mutable_data<T>(ctx.GetPlace());
-    moment_out->mutable_data<T>(ctx.GetPlace());
-    mean_square_out->mutable_data<T>(ctx.GetPlace());
+    auto &p_tensor = *ctx.Input<LoDTensor>("Param");
+    auto &ms_tensor = *ctx.Input<LoDTensor>("MeanSquare");
+    auto &lr_tensor = *ctx.Input<LoDTensor>("LearningRate");
+    auto &mom_tensor = *ctx.Input<LoDTensor>("Moment");
 
-    float epsilon = ctx.Attr<float>("epsilon");
-    float rho = ctx.Attr<float>("decay");
-    float momentum = ctx.Attr<float>("momentum");
-    bool centered = ctx.Attr<bool>("centered");
+    PADDLE_ENFORCE_EQ(&p_tensor, param_out,
+                      "Param and ParamOut must be the same Tensor");
+    PADDLE_ENFORCE_EQ(&mom_tensor, moment_out,
+                      "Moment and MomentOut must be the same Tensor");
+    PADDLE_ENFORCE_EQ(&ms_tensor, mean_square_out,
+                      "MeanSquare and MeanSquareOut must be the same Tensor");
+
+    auto &dev_ctx = ctx.template device_context<DeviceContext>();
+    size_t limit = static_cast<size_t>(ms_tensor.numel());
+
+    if (grad_var->IsType<LoDTensor>()) {
+      auto &grad_tensor = grad_var->Get<LoDTensor>();
+
+      if (std::is_same<DeviceContext, platform::CPUDeviceContext>::value) {
+        auto &place =
+            *ctx.template device_context<DeviceContext>().eigen_device();
+        auto lr_value = lr_tensor.data<T>()[0];
+
+        auto p = EigenVector<T>::Flatten(p_tensor);
+        auto ms = EigenVector<T>::Flatten(ms_tensor);
+        auto g = EigenVector<T>::Flatten(grad_tensor);
+        auto mom = EigenVector<T>::Flatten(mom_tensor);
+
+        auto p_out = EigenVector<T>::Flatten(*param_out);
+        auto mom_out = EigenVector<T>::Flatten(*moment_out);
+        auto ms_out = EigenVector<T>::Flatten(*mean_square_out);
+
+        ms_out.device(place) = rho * ms + (1 - rho) * g * g;
+        if (centered) {
+          auto &mg_tensor = *ctx.Input<LoDTensor>("MeanGrad");
+          auto mg = EigenVector<T>::Flatten(mg_tensor);
+          auto *mean_grad_out = ctx.Output<LoDTensor>("MeanGradOut");
+          PADDLE_ENFORCE(&mg_tensor, mean_grad_out,
+                         "MeanGrad and MeanGradOut must be the same Tensor");
+          auto mg_out = EigenVector<T>::Flatten(*mean_grad_out);
+
+          mg_out.device(place) = rho * mg + (1 - rho) * g;
+          mom_out.device(place) =
+              momentum * mom +
+              lr_value * g / (ms_out - mg_out.square() + epsilon).sqrt();
+        } else {
+          mom_out.device(place) =
+              momentum * mom + lr_value * g / (ms_out + epsilon).sqrt();
+        }
+        p_out.device(place) = p - mom_out;
+      } else {
+        DenseRmspropGradFunctor<T> grad_func(grad_tensor.data<T>());
+        platform::ForRange<DeviceContext> for_range(dev_ctx, limit);
+        if (centered) {
+          auto &mg_tensor = *ctx.Input<LoDTensor>("MeanGrad");
+          auto *mean_grad_out = ctx.Output<LoDTensor>("MeanGradOut");
+          PADDLE_ENFORCE(&mg_tensor, mean_grad_out,
+                         "MeanGrad and MeanGradOut must be the same Tensor");
+          for_range(CenteredRmspropFunctor<T, DenseRmspropGradFunctor<T>>(
+              param_out->mutable_data<T>(ctx.GetPlace()),
+              mean_square_out->mutable_data<T>(ctx.GetPlace()),
+              moment_out->mutable_data<T>(ctx.GetPlace()),
+              mean_grad_out->mutable_data<T>(ctx.GetPlace()),
+              lr_tensor.data<T>(), rho, epsilon, momentum, grad_func));
+        } else {
+          for_range(UncenteredRmspropFunctor<T, DenseRmspropGradFunctor<T>>(
+              param_out->mutable_data<T>(ctx.GetPlace()),
+              mean_square_out->mutable_data<T>(ctx.GetPlace()),
+              moment_out->mutable_data<T>(ctx.GetPlace()), lr_tensor.data<T>(),
+              rho, epsilon, momentum, grad_func));
+        }
+      }
+    } else if (grad_var->IsType<framework::SelectedRows>()) {
+      auto &grad = grad_var->Get<framework::SelectedRows>();
+      auto *merged_grad = const_cast<framework::Scope &>(ctx.scope())
+                              .Var()
+                              ->GetMutable<framework::SelectedRows>();
+
+      math::scatter::MergeAdd<DeviceContext, T> merge_func;
+      merge_func(dev_ctx, grad, merged_grad);
+
+      platform::ForRange<DeviceContext> for_range(dev_ctx, limit);
+      const int64_t *rows;
+#ifdef PADDLE_WITH_CUDA
+      if (platform::is_gpu_place(ctx.GetPlace())) {
+        rows = merged_grad->rows().CUDAData(ctx.GetPlace());
+      } else {
+#endif
+        rows = merged_grad->rows().data();
+#ifdef PADDLE_WITH_CUDA
+      }
+#endif
+      auto &merged_tensor = merged_grad->value();
+      int64_t row_count = merged_grad->rows().size();
+      int64_t row_numel = merged_tensor.numel() / row_count;
+      SparseRmspropGradFunctor<T> grad_func(merged_tensor.data<T>(), rows,
+                                            row_numel, row_count);
 
-    auto p = EigenVector<T>::Flatten(*ctx.Input<Tensor>("Param"));
-    auto ms = EigenVector<T>::Flatten(*ctx.Input<Tensor>("MeanSquare"));
-    auto lr = EigenVector<T>::Flatten(*ctx.Input<Tensor>("LearningRate"));
-    auto g = EigenVector<T>::Flatten(*grad);
-    auto mom = EigenVector<T>::Flatten(*ctx.Input<Tensor>("Moment"));
-
-    auto p_out = EigenVector<T>::Flatten(*param_out);
-    auto mom_out = EigenVector<T>::Flatten(*moment_out);
-    auto ms_out = EigenVector<T>::Flatten(*mean_square_out);
-    auto& place = *ctx.template device_context<DeviceContext>().eigen_device();
-
-    Eigen::DSizes<int, 1> grad_dsize(static_cast<int>(grad->numel()));
-
-    ms_out.device(place) = rho * ms + (1 - rho) * g * g;
-    if (centered) {
-      auto mg = EigenVector<T>::Flatten(*ctx.Input<Tensor>("MeanGrad"));
-      auto* mean_grad_out = ctx.Output<Tensor>("MeanGradOut");
-      mean_grad_out->mutable_data<T>(ctx.GetPlace());
-      auto mg_out = EigenVector<T>::Flatten(*mean_grad_out);
-
-      mg_out.device(place) = rho * mg + (1 - rho) * g;
-      mom_out.device(place) = momentum * mom +
-                              lr.broadcast(grad_dsize) * g /
-                                  (ms_out - mg_out.square() + epsilon).sqrt();
+      if (centered) {
+        auto &mg_tensor = *ctx.Input<LoDTensor>("MeanGrad");
+        auto *mean_grad_out = ctx.Output<LoDTensor>("MeanGradOut");
+        PADDLE_ENFORCE(&mg_tensor, mean_grad_out,
+                       "MeanGrad and MeanGradOut must be the same Tensor");
+        for_range(CenteredRmspropFunctor<T, SparseRmspropGradFunctor<T>>(
+            param_out->mutable_data<T>(ctx.GetPlace()),
+            mean_square_out->mutable_data<T>(ctx.GetPlace()),
+            moment_out->mutable_data<T>(ctx.GetPlace()),
+            mean_grad_out->mutable_data<T>(ctx.GetPlace()), lr_tensor.data<T>(),
+            rho, epsilon, momentum, grad_func));
+      } else {
+        for_range(UncenteredRmspropFunctor<T, SparseRmspropGradFunctor<T>>(
+            param_out->mutable_data<T>(ctx.GetPlace()),
+            mean_square_out->mutable_data<T>(ctx.GetPlace()),
+            moment_out->mutable_data<T>(ctx.GetPlace()), lr_tensor.data<T>(),
+            rho, epsilon, momentum, grad_func));
+      }
     } else {
-      mom_out.device(place) =
-          momentum * mom +
-          lr.broadcast(grad_dsize) * g / (ms_out + epsilon).sqrt();
+      PADDLE_THROW("RMSProp only supports LoDTensor or SelectedRows gradient");
     }
-    p_out.device(place) = p - mom_out;
   }
 };
 
diff --git a/paddle/fluid/operators/sgd_op.cc b/paddle/fluid/operators/sgd_op.cc
index fef230e42d07a5ed73b7a7a6ab682694675bb9d2..411a126bc8e2b3a8d25f436489c13970568ccae4 100644
--- a/paddle/fluid/operators/sgd_op.cc
+++ b/paddle/fluid/operators/sgd_op.cc
@@ -21,7 +21,7 @@ class SGDOp : public framework::OperatorWithKernel {
  public:
   using framework::OperatorWithKernel::OperatorWithKernel;
 
-  void InferShape(framework::InferShapeContext* ctx) const override {
+  void InferShape(framework::InferShapeContext *ctx) const override {
     PADDLE_ENFORCE(ctx->HasInput("Param"),
                    "Input(Param) of SGDOp should not be null.");
     PADDLE_ENFORCE(ctx->HasInput("Grad"),
@@ -42,7 +42,7 @@ class SGDOp : public framework::OperatorWithKernel {
 
  protected:
   framework::OpKernelType GetExpectedKernelType(
-      const framework::ExecutionContext& ctx) const override {
+      const framework::ExecutionContext &ctx) const override {
     auto data_type = framework::GetDataTypeOfVar(ctx.InputVar("Param"));
     return framework::OpKernelType(data_type, ctx.device_context());
   }
@@ -50,17 +50,20 @@ class SGDOp : public framework::OperatorWithKernel {
 
 class SGDOpInferVarType : public framework::VarTypeInference {
  public:
-  void operator()(const framework::OpDesc& op_desc,
-                  framework::BlockDesc* block) const override {
-    auto input_var = op_desc.Input("Param")[0];
-    for (auto& out_var : op_desc.Output("ParamOut")) {
-      if (block->FindRecursiveOrCreateVar(input_var).GetType() ==
-          framework::proto::VarType::SELECTED_ROWS) {
-        block->FindRecursiveOrCreateVar(out_var).SetType(
-            framework::proto::VarType::SELECTED_ROWS);
-      } else {
-        block->FindRecursiveOrCreateVar(out_var).SetType(
-            framework::proto::VarType::LOD_TENSOR);
+  void operator()(const framework::OpDesc &op_desc,
+                  framework::BlockDesc *block) const override {
+    auto input_var_n = op_desc.Input("Param")[0];
+    auto in_var_type = block->FindRecursiveOrCreateVar(input_var_n).GetType();
+    PADDLE_ENFORCE(in_var_type == framework::proto::VarType::SELECTED_ROWS ||
+                       in_var_type == framework::proto::VarType::LOD_TENSOR,
+                   "The input Var's type should be LoDtensor or SelectedRows,"
+                   " but the received var(%s)'s type is %s",
+                   input_var_n, in_var_type);
+
+    for (auto &out_var_n : op_desc.Output("ParamOut")) {
+      auto &out_var = block->FindRecursiveOrCreateVar(out_var_n);
+      if (out_var.GetType() != in_var_type) {
+        out_var.SetType(in_var_type);
       }
     }
   }
diff --git a/paddle/fluid/operators/sgd_op.cu b/paddle/fluid/operators/sgd_op.cu
index 4722be7a666d3e8f3c25c9499f88ddda835f60e3..5ddbac4c8176b6da519aa84490b6303b65214479 100644
--- a/paddle/fluid/operators/sgd_op.cu
+++ b/paddle/fluid/operators/sgd_op.cu
@@ -57,6 +57,12 @@ template <typename T>
 class SGDOpCUDAKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    const auto* param_var = ctx.InputVar("Param");
+    PADDLE_ENFORCE(param_var->IsType<framework::LoDTensor>(),
+                   "The Var(%s)'s type should be LoDTensor, "
+                   "but the received is %s",
+                   ctx.Inputs("Param").front(), param_var->Type().name());
+
     auto* param = ctx.Input<framework::Tensor>("Param");
     auto* param_out = ctx.Output<framework::Tensor>("ParamOut");
     auto* learning_rate = ctx.Input<framework::Tensor>("LearningRate");
diff --git a/python/paddle/fluid/optimizer.py b/python/paddle/fluid/optimizer.py
index 1b9571f6d3a6a69d1ac35f6be74b80eaa2ce6251..73e3a43af4b98ee8e83a208c397d59e9025b8420 100644
--- a/python/paddle/fluid/optimizer.py
+++ b/python/paddle/fluid/optimizer.py
@@ -659,6 +659,9 @@ class AdamaxOptimizer(Optimizer):
 
             optimizer = fluid.optimizer.Adamax(learning_rate=0.2)
             optimizer.minimize(cost)
+
+    Notes:
+       Currently, AdamaxOptimizer doesn't support sparse gradient.
     """
     _moment_acc_str = "moment"
     _inf_norm_acc_str = "inf_norm"
@@ -778,6 +781,9 @@ class DecayedAdagradOptimizer(Optimizer):
 
             optimizer = fluid.optimizer.DecayedAdagrad(learning_rate=0.2)
             optimizer.minimize(cost)
+
+    Notes:
+       Currently, DecayedAdagradOptimizer doesn't support sparse gradient.
     """
     _moment_acc_str = "moment"
 
@@ -858,6 +864,9 @@ class AdadeltaOptimizer(Optimizer):
             optimizer = fluid.optimizer.Adadelta(
                 learning_rate=0.0003, epsilon=1.0e-6, rho=0.95)
             _, params_grads = optimizer.minimize(cost)
+
+    Notes:
+       Currently, AdadeltaOptimizer doesn't support sparse gradient.
     """
 
     _avg_squared_grad_acc_str = "_avg_squared_grad"
@@ -1126,6 +1135,9 @@ class FtrlOptimizer(Optimizer):
 
               optimizer = fluid.optimizer.Ftrl(0.0001)
               _, params_grads = optimizer.minimize(cost)
+
+    Notes:
+       Currently, FtrlOptimizer doesn't support sparse gradient.
     """
 
     _squared_acc_str = "squared"
diff --git a/python/paddle/fluid/tests/unittests/test_rmsprop_op.py b/python/paddle/fluid/tests/unittests/test_rmsprop_op.py
index 70848e4e2239e2be160bb0c1a28a5aecd01a87dc..eb12bc741767340a3e7e3580a8b95065d4267693 100644
--- a/python/paddle/fluid/tests/unittests/test_rmsprop_op.py
+++ b/python/paddle/fluid/tests/unittests/test_rmsprop_op.py
@@ -19,33 +19,76 @@ import unittest
 import numpy as np
 import paddle.fluid.core as core
 from paddle.fluid.op import Operator
+import paddle.fluid as fluid
+
+
+def create_selected_rows_and_tensor(scope, place, height, row_num,
+                                    embedding_size):
+    sr = scope.var("@selected_rows@").get_selected_rows()
+    tensor = scope.var("grad").get_tensor()
+
+    rows = np.random.random_integers(
+        low=0, high=height - 1, size=[row_num, ]).astype('int64')
+    sr_val = np.random.random(size=[row_num, embedding_size]).astype('float32')
+
+    sr.set_height(height)
+    sr.set_rows(rows)
+    sr.get_tensor().set(sr_val, place)
+
+    tensor_val = np.zeros(shape=[height, embedding_size], dtype='float32')
+    for i in range(row_num):
+        row = rows[i]
+        tensor_val[row, :] = tensor_val[row, :] + sr_val[i, :]
+
+    tensor.set(tensor_val, place)
+    return tensor_val, sr_val
 
 
 class TestBase(unittest.TestCase):
-    def setup(self, centered, epsilon=1e-6):
+    def setup(self,
+              place,
+              is_sparse,
+              centered,
+              size,
+              row_num=None,
+              epsilon=1e-6):
         np.random.seed(5)  # fix seed
 
+        self.scope = fluid.global_scope()
+        self.place = place
+
         self.param_name = "param"
-        self.param = np.random.random((123, 321)).astype("float32")
+        self.param = np.random.random(size).astype("float32")
 
         self.mean_square_name = "mean_square"
-        self.mean_square = np.random.random((123, 321)).astype("float32")
+        self.mean_square = np.random.uniform(
+            low=1, high=2, size=size).astype("float32")
 
         self.mean_grad_name = "mean_grad"
-        self.mean_grad = np.random.random((123, 321)).astype("float32")
+        self.mean_grad = np.random.random(size).astype("float32")
 
         self.lr_name = "lr"
         self.learning_rate = np.array([0.01]).astype("float32")
 
         self.grad_name = "grad"
-        self.grad = np.random.random((123, 321)).astype("float32")
+
+        self.is_sparse = is_sparse
+        if self.is_sparse:
+            self.grad_sr_name = "@selected_rows@"
+            self.grad, self.grad_sr = create_selected_rows_and_tensor(
+                self.scope, place, size[0], row_num, size[1])
+        else:
+            self.grad = np.random.random(size).astype("float32")
+            grad_tensor = self.scope.var(self.grad_name).get_tensor()
+            grad_tensor.set(self.grad, place)
 
         self.moment_name = "moment"
-        self.moment = np.zeros((123, 321)).astype("float32")
+        self.moment = np.random.uniform(
+            low=0, high=1, size=size).astype("float32")
 
         self.epsilon = epsilon
         self.decay = 0.9
-        self.momentum = 0.0
+        self.momentum = 0.1
         self.centered = centered
 
         self.ms_out = self.decay * self.mean_square + (1 - self.decay
@@ -61,118 +104,122 @@ class TestBase(unittest.TestCase):
 
         self.param_out = self.param - self.moment_out
 
-    def check(self,
-              actual_t,
-              expect_t,
-              place,
-              out_name,
-              atol=1e-5,
-              equal_nan=False):
-        self.assertTrue(
-            np.allclose(
-                actual_t, expect_t, atol=atol, equal_nan=equal_nan),
-            "Output (" + out_name + ") has diff at " + str(place) + "\nExpect "
-            + str(expect_t) + "\n" + "But Got" + str(actual_t))
-
-
-class TestRmspropOp(TestBase):
-    def check_with_place(self, place, centered, epsilon):
-        self.setup(centered, epsilon)
-        scope = core.Scope()
-
         # create and initialize Param Variable
-        param = scope.var(self.param_name).get_tensor()
-        param.set(self.param, place)
+        self.param_tensor = self.scope.var(self.param_name).get_tensor()
+        self.param_tensor.set(self.param, place)
 
-        mean_square = scope.var(self.mean_square_name).get_tensor()
-        mean_square.set(self.mean_square, place)
+        self.mean_square_tensor = self.scope.var(
+            self.mean_square_name).get_tensor()
+        self.mean_square_tensor.set(self.mean_square, place)
 
-        lr = scope.var(self.lr_name).get_tensor()
+        lr = self.scope.var(self.lr_name).get_tensor()
         lr.set(self.learning_rate, place)
 
-        grad = scope.var(self.grad_name).get_tensor()
-        grad.set(self.grad, place)
+        self.moment_tensor = self.scope.var(self.moment_name).get_tensor()
+        self.moment_tensor.set(self.moment, place)
 
-        moment = scope.var(self.moment_name).get_tensor()
-        moment.set(self.moment, place)
+        if self.centered:
+            self.mean_grad_tensor = self.scope.var(
+                self.mean_grad_name).get_tensor()
+            self.mean_grad_tensor.set(self.mean_grad, place)
 
-        # create and run sgd operator
+    def check(self, actual_t, expect_t, place, out_name, atol=1e-5):
+        self.assertTrue(
+            np.allclose(
+                actual_t, expect_t, atol=atol),
+            "Output (" + out_name + ") has diff at " + str(place) + "\nExpect "
+            + str(expect_t) + "\n" + "But Got" + str(actual_t))
 
-        if self.centered:
-            mean_grad = scope.var(self.mean_grad_name).get_tensor()
-            mean_grad.set(self.mean_grad, place)
-
-            rmsprop_op = Operator(
-                "rmsprop",
-                Param=self.param_name,
-                Grad=self.grad_name,
-                MeanSquare=self.mean_square_name,
-                MeanGrad=self.mean_grad_name,
-                Moment=self.moment_name,
-                LearningRate=self.lr_name,
-                ParamOut=self.param_name,
-                MeanSquareOut=self.mean_square_name,
-                MomentOut=self.moment_name,
-                MeanGradOut=self.mean_grad_name,
-                epsilon=self.epsilon,
-                decay=self.decay,
-                momentum=self.momentum,
-                centered=True)
-        else:
-            rmsprop_op = Operator(
-                "rmsprop",
-                Param=self.param_name,
-                Grad=self.grad_name,
-                MeanSquare=self.mean_square_name,
-                Moment=self.moment_name,
-                LearningRate=self.lr_name,
-                ParamOut=self.param_name,
-                MeanSquareOut=self.mean_square_name,
-                MomentOut=self.moment_name,
-                epsilon=self.epsilon,
-                decay=self.decay,
-                momentum=self.momentum,
-                centered=False)
-
-        rmsprop_op.run(scope, place)
-
-        atol = 1e-5
-        equal_nan = False
+
+class TestRmspropOp(TestBase):
+    def check_with_place(self,
+                         place,
+                         is_sparse,
+                         centered,
+                         size,
+                         row_num=None,
+                         epsilon=1e-6):
+        self.setup(place, is_sparse, centered, size, row_num, epsilon)
+        self.run_and_check()
+
+    def run_and_check(self):
+        grad_name = self.grad_sr_name if self.is_sparse else self.grad_name
+
+        kwargs = {
+            'Param': self.param_name,
+            'Grad': grad_name,
+            'MeanSquare': self.mean_square_name,
+            'Moment': self.moment_name,
+            'LearningRate': self.lr_name,
+            'ParamOut': self.param_name,
+            'MeanSquareOut': self.mean_square_name,
+            'MomentOut': self.moment_name,
+            'epsilon': self.epsilon,
+            'decay': self.decay,
+            'momentum': self.momentum,
+            'centered': self.centered
+        }
 
         if self.centered:
-            atol = 1e-3
-            equal_nan = True
+            kwargs['MeanGrad'] = self.mean_grad_name
+            kwargs['MeanGradOut'] = self.mean_grad_name
+
+        rmsprop_op = Operator('rmsprop', **kwargs)
+        atol = 1e-6
+
+        rmsprop_op.run(self.scope, self.place)
 
         self.check(
-            np.array(mean_square), self.ms_out, place, self.mean_square_name)
+            np.array(self.mean_square_tensor),
+            self.ms_out,
+            self.place,
+            self.mean_square_name,
+            atol=atol)
         self.check(
-            np.array(moment),
+            np.array(self.moment_tensor),
             self.moment_out,
-            place,
+            self.place,
             self.moment_name,
-            atol=atol,
-            equal_nan=equal_nan)
+            atol=atol)
         self.check(
-            np.array(param),
+            np.array(self.param_tensor),
             self.param_out,
-            place,
+            self.place,
             self.param_name,
-            atol=atol,
-            equal_nan=equal_nan)
+            atol=atol)
 
         if self.centered:
             self.check(
-                np.array(mean_grad), self.mg_out, place, self.mean_grad_name)
+                np.array(self.mean_grad_tensor), self.mg_out, self.place,
+                self.mean_grad_name)
 
     def test_rmsprop(self):
         places = [core.CPUPlace()]
         if core.is_compiled_with_cuda():
             places.append(core.CUDAPlace(0))
+
+        size = (128, 320)
         for place in places:
-            self.check_with_place(place, False, 1e-6)
-            self.check_with_place(place, False, 1e-10)
-            self.check_with_place(place, True, 1e-6)
-            self.check_with_place(place, True, 1e-10)
+            for centered in [False, True]:
+                with fluid.scope_guard(core.Scope()):
+                    self.check_with_place(
+                        place, is_sparse=False, centered=centered, size=size)
+
+                with fluid.scope_guard(core.Scope()):
+                    self.check_with_place(
+                        place,
+                        is_sparse=True,
+                        centered=centered,
+                        row_num=512,
+                        size=size)
+
+                with fluid.scope_guard(core.Scope()):
+                    self.check_with_place(
+                        place,
+                        is_sparse=True,
+                        centered=centered,
+                        row_num=60,
+                        size=size)
 
 
 if __name__ == "__main__":