diff --git a/paddle/fluid/lite/api/CMakeLists.txt b/paddle/fluid/lite/api/CMakeLists.txt
index cea38089fbe57cdcde1b9d15efecc637bf054499..d39950f2a033d3aa0fd43933e30a93119736c46a 100644
--- a/paddle/fluid/lite/api/CMakeLists.txt
+++ b/paddle/fluid/lite/api/CMakeLists.txt
@@ -25,11 +25,11 @@ set(LITE_URL "http://paddle-inference-dist.bj.bcebos.com" CACHE STRING "inferenc
 set(LITE_DEMO_INSTALL_DIR "${THIRD_PARTY_PATH}/inference_demo" CACHE STRING
         "A path setting inference demo download directories.")
 
-
 # lite_cc_test(test_cxx_api_lite SRCS cxx_api_test.cc
 #   DEPS cxx_api_lite model_parser_lite target_wrapper_host
 #   ${ops_lite} ${host_kernels} ARGS --model_dir=${LITE_MODEL_DIR}/lite_naive_model
 #         --optimized_model=${LITE_MODEL_DIR}/lite_naive_model_opt SERIAL)
+
 if(WITH_TESTING)
 lite_download_and_uncompress(${LITE_MODEL_DIR} ${LITE_URL} "lite_naive_model.tar.gz")
 # add_dependencies(test_cxx_api_lite extern_lite_download_lite_naive_model_tar_gz)
diff --git a/paddle/fluid/lite/api/cxx_api_test.cc b/paddle/fluid/lite/api/cxx_api_test.cc
index 1d243ba41f4746ad39f92d6b89f649172da3091c..7a73982e9f7a6b591ee4ca84fb6dc1da932ff89c 100644
--- a/paddle/fluid/lite/api/cxx_api_test.cc
+++ b/paddle/fluid/lite/api/cxx_api_test.cc
@@ -92,7 +92,7 @@ TEST(CXXTrainer, train) {
   main_program_desc.ParseFromString(main_program_pb);
   startup_program_desc.ParseFromString(startup_program_pb);
 
-  LOG(INFO) << main_program_desc.DebugString();
+  // LOG(INFO) << main_program_desc.DebugString();
 
   for (const auto& op : main_program_desc.blocks(0).ops()) {
     LOG(INFO) << "get op " << op.type();
diff --git a/paddle/fluid/lite/kernels/x86/CMakeLists.txt b/paddle/fluid/lite/kernels/x86/CMakeLists.txt
index 75133f19f448bedfdafc303ff7f33ca3ced15ab4..4fd44525a401b9ab502d95e74be3b2daa0980156 100644
--- a/paddle/fluid/lite/kernels/x86/CMakeLists.txt
+++ b/paddle/fluid/lite/kernels/x86/CMakeLists.txt
@@ -2,5 +2,19 @@ if(NOT LITE_WITH_X86)
     return()
 endif()
 
-cc_library(activation_compute SRCS activation_compute.cc DEPS ${lite_kernel_deps} activation_op)
-cc_library(elementwise_compute SRCS elementwise_compute.cc DEPS ${lite_kernel_deps} elementwise_sub_op)
+cc_library(activation_compute_x86 SRCS activation_compute.cc DEPS ${lite_kernel_deps} activation_op)
+cc_library(elementwise_compute_x86 SRCS elementwise_compute.cc DEPS ${lite_kernel_deps})
+cc_library(mean_compute_x86 SRCS mean_compute.cc DEPS ${lite_kernel_deps})
+cc_library(fill_constant_compute_x86 SRCS fill_constant_compute.cc DEPS ${lite_kernel_deps})
+cc_library(mul_compute_x86 SRCS mul_compute.cc DEPS ${lite_kernel_deps})
+cc_library(sgd_compute_x86 SRCS sgd_compute.cc DEPS ${lite_kernel_deps})
+
+set(x86_kernels
+    activation_compute_x86
+    elementwise_compute_x86
+    mean_compute_x86
+    fill_constant_compute_x86
+    mul_compute_x86
+    )
+
+set(x86_kernels "${x86_kernels}" CACHE INTERNAL "x86 kernels")
diff --git a/paddle/fluid/lite/kernels/x86/activation_compute.cc b/paddle/fluid/lite/kernels/x86/activation_compute.cc
index 79f3829b61b19d652ae17e6d637c0cdc11ae739b..4ea1c0f650445b17891ae9cfc252a5480a6fdcd5 100644
--- a/paddle/fluid/lite/kernels/x86/activation_compute.cc
+++ b/paddle/fluid/lite/kernels/x86/activation_compute.cc
@@ -55,7 +55,7 @@ void ActivateGrad(const platform::CPUDeviceContext& context,
 }
 
 template <typename T>
-class SquareCompute : public KernelLite<TARGET(kHost), PRECISION(kFloat)> {
+class SquareCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
  public:
   using param_t = operators::ActivationParam;
 
@@ -70,14 +70,11 @@ class SquareCompute : public KernelLite<TARGET(kHost), PRECISION(kFloat)> {
                                                   &param.Out->raw_tensor());
   }
 
-  // TargetType target() const override;
-  // PrecisionType precision() const override;
-
   virtual ~SquareCompute() = default;
 };
 
 template <typename T>
-class SquareGradCompute : public KernelLite<TARGET(kHost), PRECISION(kFloat)> {
+class SquareGradCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
  public:
   using param_t = operators::ActivationGradParam;
 
@@ -93,9 +90,6 @@ class SquareGradCompute : public KernelLite<TARGET(kHost), PRECISION(kFloat)> {
         &param.X_grad->raw_tensor());
   }
 
-  // TargetType target() const override;
-  // PrecisionType precision() const override;
-
   virtual ~SquareGradCompute() = default;
 };
 
@@ -107,16 +101,16 @@ class SquareGradCompute : public KernelLite<TARGET(kHost), PRECISION(kFloat)> {
 // float
 REGISTER_LITE_KERNEL(square, kX86, kFloat, kNCHW,
                      paddle::lite::kernels::x86::SquareCompute<float>, def)
-    .BindInput("Input", {LiteType::GetTensorTy(TARGET(kHost))})
-    .BindInput("Bias", {LiteType::GetTensorTy(TARGET(kHost))})
-    .BindInput("W", {LiteType::GetTensorTy(TARGET(kHost))})
-    .BindOutput("Out", {LiteType::GetTensorTy(TARGET(kHost))})
+    .BindInput("X", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput("Out", {LiteType::GetTensorTy(TARGET(kX86))})
     .Finalize();
 
 REGISTER_LITE_KERNEL(square_grad, kX86, kFloat, kNCHW,
                      paddle::lite::kernels::x86::SquareGradCompute<float>, def)
-    .BindInput("Input", {LiteType::GetTensorTy(TARGET(kHost))})
-    .BindInput("Bias", {LiteType::GetTensorTy(TARGET(kHost))})
-    .BindInput("W", {LiteType::GetTensorTy(TARGET(kHost))})
-    .BindOutput("Out", {LiteType::GetTensorTy(TARGET(kHost))})
+    .BindInput("X", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput("Out", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput(paddle::framework::GradVarName("Out"),
+               {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput(paddle::framework::GradVarName("X"),
+                {LiteType::GetTensorTy(TARGET(kX86))})
     .Finalize();
diff --git a/paddle/fluid/lite/kernels/x86/elementwise_compute.cc b/paddle/fluid/lite/kernels/x86/elementwise_compute.cc
index e2ca9a52df61df82de9eb581b4fb882fb129a69a..9e9b7a86b39943bb1b7d2d6236f3d957f8a1dac5 100644
--- a/paddle/fluid/lite/kernels/x86/elementwise_compute.cc
+++ b/paddle/fluid/lite/kernels/x86/elementwise_compute.cc
@@ -32,7 +32,7 @@ struct SubFunctor {
 
 template <typename T>
 class ElementwiseSubCompute
-    : public KernelLite<TARGET(kHost), PRECISION(kFloat)> {
+    : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
  public:
   using param_t = operators::ElementwiseParam;
 
@@ -49,22 +49,67 @@ class ElementwiseSubCompute
         &param.Out->raw_tensor());
   }
 
-  // TargetType target() const override;
-  // PrecisionType precision() const override;
-
   virtual ~ElementwiseSubCompute() = default;
 };
 
+template <typename T>
+struct SubGradDX {
+  T operator()(T x, T y, T out, T dout) const { return dout; }
+};
+
+template <typename T>
+struct SubGradDY {
+  T operator()(T x, T y, T out, T dout) const { return -dout; }
+};
+
+template <typename T>
+class ElementwiseSubGradCompute
+    : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
+ public:
+  using param_t = operators::ElementwiseGradParam;
+
+  void Run() override {
+    auto& param = *param_.get_mutable<param_t>();
+    auto& context = context_->As<X86Context>();
+    CHECK(context.x86_device_context);
+
+    param.X_grad->template mutable_data<T>();
+    param.Y_grad->template mutable_data<T>();
+    // skip out, x, y
+    auto dout = param.Out_grad->raw_tensor();
+    auto dx = param.X_grad->raw_tensor();
+    auto dy = param.Y_grad->raw_tensor();
+    auto& skip = dout;
+    paddle::operators::ElemwiseExplicitGradCompute<
+        platform::CPUDeviceContext, T, SubGradDX<T>, SubGradDY<T>>(
+        *context.x86_execution_context, skip, skip, skip, dout, param.axis, &dx,
+        &dy, SubGradDX<T>(), SubGradDY<T>());
+  }
+
+  virtual ~ElementwiseSubGradCompute() = default;
+};
+
 }  // namespace x86
 }  // namespace kernels
 }  // namespace lite
 }  // namespace paddle
 
 // float
-REGISTER_LITE_KERNEL(square, kHost, kFloat, kNCHW,
+REGISTER_LITE_KERNEL(elementwise_sub, kX86, kFloat, kNCHW,
                      paddle::lite::kernels::x86::ElementwiseSubCompute<float>,
                      def)
     .BindInput("X", {LiteType::GetTensorTy(TARGET(kX86))})
     .BindInput("Y", {LiteType::GetTensorTy(TARGET(kX86))})
     .BindOutput("Out", {LiteType::GetTensorTy(TARGET(kX86))})
     .Finalize();
+
+REGISTER_LITE_KERNEL(elementwise_sub_grad, kX86, kFloat, kNCHW,
+                     paddle::lite::kernels::x86::ElementwiseSubCompute<float>,
+                     def)
+    .BindInput(paddle::framework::GradVarName("Out"),
+               {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput(paddle::framework::GradVarName("X"),
+                {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput(paddle::framework::GradVarName("Y"),
+                {LiteType::GetTensorTy(TARGET(kX86))})
+    .Finalize();
diff --git a/paddle/fluid/lite/kernels/x86/fill_constant_compute.cc b/paddle/fluid/lite/kernels/x86/fill_constant_compute.cc
new file mode 100644
index 0000000000000000000000000000000000000000..3f8a3fe11c4b893633267d79c18bdd3b483ea514
--- /dev/null
+++ b/paddle/fluid/lite/kernels/x86/fill_constant_compute.cc
@@ -0,0 +1,56 @@
+// Copyright (c) 2019 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.
+
+#include "paddle/fluid/framework/eigen.h"
+#include "paddle/fluid/framework/operator.h"
+#include "paddle/fluid/lite/core/kernel.h"
+#include "paddle/fluid/lite/core/op_registry.h"
+#include "paddle/fluid/operators/activation_op.h"
+#include "paddle/fluid/operators/math/math_function.h"
+
+namespace paddle {
+namespace lite {
+namespace kernels {
+namespace x86 {
+
+template <typename T>
+class FillConstantCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
+ public:
+  using param_t = operators::FillConstantParam;
+
+  void Run() override {
+    auto& param = *param_.get_mutable<param_t>();
+    auto& context = context_->As<X86Context>();
+    CHECK(context.x86_device_context);
+
+    param.Out->template mutable_data<T>();
+
+    paddle::operators::math::set_constant(
+        *context.x86_device_context, &param.Out->raw_tensor(), param.value);
+  }
+
+  virtual ~FillConstantCompute() = default;
+};
+
+}  // namespace x86
+}  // namespace kernels
+}  // namespace lite
+}  // namespace paddle
+
+// float
+REGISTER_LITE_KERNEL(fill_constant, kX86, kFloat, kNCHW,
+                     paddle::lite::kernels::x86::FillConstantCompute<float>,
+                     def)
+    .BindOutput("Out", {LiteType::GetTensorTy(TARGET(kX86))})
+    .Finalize();
diff --git a/paddle/fluid/lite/kernels/x86/mean_compute.cc b/paddle/fluid/lite/kernels/x86/mean_compute.cc
new file mode 100644
index 0000000000000000000000000000000000000000..f1dbc4d53fce8f359c35dcfa66f1e74a41109901
--- /dev/null
+++ b/paddle/fluid/lite/kernels/x86/mean_compute.cc
@@ -0,0 +1,98 @@
+// Copyright (c) 2019 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.
+
+#include "paddle/fluid/framework/eigen.h"
+#include "paddle/fluid/framework/operator.h"
+#include "paddle/fluid/lite/core/kernel.h"
+#include "paddle/fluid/lite/core/op_registry.h"
+#include "paddle/fluid/operators/activation_op.h"
+
+namespace paddle {
+namespace lite {
+namespace kernels {
+namespace x86 {
+
+template <typename T, int MajorType = Eigen::RowMajor,
+          typename IndexType = Eigen::DenseIndex>
+using EigenScalar = framework::EigenScalar<T, MajorType, IndexType>;
+template <typename T, int MajorType = Eigen::RowMajor,
+          typename IndexType = Eigen::DenseIndex>
+using EigenVector = framework::EigenVector<T, MajorType, IndexType>;
+
+template <typename T>
+class MeanCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
+ public:
+  using param_t = operators::MeanParam;
+
+  void Run() override {
+    auto& param = *param_.get_mutable<param_t>();
+    auto& context = context_->As<X86Context>();
+    CHECK(context.x86_device_context);
+
+    param.Out->template mutable_data<T>();
+
+    auto X = EigenVector<T>::Flatten(param.X->raw_tensor());
+    auto y = EigenScalar<T>::From(param.Out->raw_tensor());
+    const auto& place = *(context.x86_device_context->eigen_device());
+
+    y.device(place) = X.mean();
+  }
+
+  virtual ~MeanCompute() = default;
+};
+
+template <typename T>
+class MeanGradCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
+ public:
+  using param_t = operators::MeanGradParam;
+
+  void Run() override {
+    auto& param = *param_.get_mutable<param_t>();
+    auto& context = context_->As<X86Context>();
+    CHECK_EQ(param.Out_grad->raw_tensor().numel(), 1);
+    CHECK(context.x86_device_context);
+
+    param.X_grad->template mutable_data<T>();
+    T x_grad_size = static_cast<T>(param.X_grad->raw_tensor().numel());
+    Eigen::DSizes<int, 1> bcast(static_cast<int>(x_grad_size));
+    EigenVector<T>::Flatten(param.X_grad->raw_tensor())
+        .device(*(context.x86_device_context->eigen_device())) =
+        (EigenVector<T>::From(param.Out_grad->raw_tensor()) / x_grad_size)
+            .broadcast(bcast);
+  }
+
+  virtual ~MeanGradCompute() = default;
+};
+
+}  // namespace x86
+}  // namespace kernels
+}  // namespace lite
+}  // namespace paddle
+
+// float
+REGISTER_LITE_KERNEL(mean, kX86, kFloat, kNCHW,
+                     paddle::lite::kernels::x86::MeanCompute<float>, def)
+    .BindInput("X", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput("Y", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput("Out", {LiteType::GetTensorTy(TARGET(kX86))})
+    .Finalize();
+
+REGISTER_LITE_KERNEL(mean_grad, kX86, kFloat, kNCHW,
+                     paddle::lite::kernels::x86::MeanGradCompute<float>, def)
+    .BindInput("X", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput(paddle::framework::GradVarName("Out"),
+               {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput(paddle::framework::GradVarName("X"),
+                {LiteType::GetTensorTy(TARGET(kX86))})
+    .Finalize();
diff --git a/paddle/fluid/lite/kernels/x86/mul_compute.cc b/paddle/fluid/lite/kernels/x86/mul_compute.cc
new file mode 100644
index 0000000000000000000000000000000000000000..f0c962347fb989c41c39ebaefd8e85d49191a9b8
--- /dev/null
+++ b/paddle/fluid/lite/kernels/x86/mul_compute.cc
@@ -0,0 +1,149 @@
+// Copyright (c) 2019 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.
+
+#include "paddle/fluid/lite/core/kernel.h"
+#include "paddle/fluid/lite/core/op_registry.h"
+#include "paddle/fluid/lite/core/types.h"
+#include "paddle/fluid/operators/math/blas.h"
+
+namespace paddle {
+namespace lite {
+namespace kernels {
+namespace x86 {
+
+using Tensor = framework::Tensor;
+
+template <typename T>
+class MulCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
+ public:
+  using param_t = operators::MulParam;
+
+  void Run() override {
+    auto& context = context_->As<X86Context>();
+    auto& param = *param_.get_mutable<operators::MulParam>();
+    CHECK(context.x86_device_context);
+
+    param.output->template mutable_data<T>();
+
+    auto* x = &param.x->raw_tensor();
+    auto* y = &param.y->raw_tensor();
+
+    const Tensor x_matrix = x->dims().size() > 2 ? framework::ReshapeToMatrix(
+                                                       *x, param.x_num_col_dims)
+                                                 : *x;
+    const Tensor y_matrix = y->dims().size() > 2 ? framework::ReshapeToMatrix(
+                                                       *y, param.y_num_col_dims)
+                                                 : *y;
+
+    auto* z = &param.output->raw_tensor();
+    auto z_dim = z->dims();
+    if (z_dim.size() != 2) {
+      z->Resize({x_matrix.dims()[0], y_matrix.dims()[1]});
+    }
+
+    auto blas = paddle::operators::math::GetBlas<platform::CPUDeviceContext, T>(
+        *context.x86_device_context);
+
+    blas.MatMul(x_matrix, y_matrix, z);
+    if (z_dim.size() != 2) {
+      z->Resize(z_dim);
+    }
+  }
+
+  virtual ~MulCompute() = default;
+};
+
+template <typename T>
+class MulGradCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
+ public:
+  void Run() override {
+    auto& context = context_->As<X86Context>();
+    auto& param = *param_.get_mutable<operators::MulGradParam>();
+    CHECK(context.x86_device_context);
+
+    auto* x = &param.x->raw_tensor();
+    auto* y = &param.y->raw_tensor();
+    auto x_matrix = x->dims().size() > 2
+                        ? framework::ReshapeToMatrix(*x, param.x_num_col_dims)
+                        : static_cast<const Tensor&>(*x);
+    auto y_matrix = y->dims().size() > 2
+                        ? framework::ReshapeToMatrix(*y, param.y_num_col_dims)
+                        : static_cast<const Tensor&>(*y);
+    auto* dout = &param.output_grad->raw_tensor();
+
+    Tensor dout_mat;
+    dout_mat.ShareDataWith(*dout);
+    dout_mat.Resize(
+        {framework::flatten_to_2d(x->dims(), param.x_num_col_dims)[0],
+         framework::flatten_to_2d(y->dims(), param.y_num_col_dims)[1]});
+
+    auto* dx = &param.x_grad->raw_tensor();
+    auto* dy = &param.y_grad->raw_tensor();
+
+    if (dx != nullptr) {
+      dx->set_lod(x->lod());
+    }
+    if (dy != nullptr) {
+      dy->set_lod(y->lod());
+    }
+
+    auto blas = paddle::operators::math::GetBlas<platform::CPUDeviceContext, T>(
+        *context.x86_device_context);
+    if (dx) {
+      // dx->mutable_data<T>(context.x86_device_context->GetPlace());
+      param.x_grad->template mutable_data<T>();
+      Tensor dx_matrix = dx->dims().size() > 2 ? framework::ReshapeToMatrix(
+                                                     *dx, param.x_num_col_dims)
+                                               : *dx;
+
+      // dx = dout * y'. dx: M x K, dout : M x N, y : K x N
+      blas.MatMul(dout_mat, false, y_matrix, true, &dx_matrix);
+    }
+    if (dy) {
+      // dy->yutable_data<T>(context.x86_device_context->GetPlace());
+      param.y_grad->template mutable_data<T>();
+      Tensor dy_matrix = dy->dims().size() > 2 ? framework::ReshapeToMatrix(
+                                                     *dy, param.y_num_col_dims)
+                                               : *dy;
+      // dy = x' * dout. dy K x N, dout : M x N, x : M x K
+      blas.MatMul(x_matrix, true, dout_mat, false, &dy_matrix);
+    }
+  }
+
+  virtual ~MulGradCompute() = default;
+};
+
+}  // namespace x86
+}  // namespace kernels
+}  // namespace lite
+}  // namespace paddle
+
+REGISTER_LITE_KERNEL(mul, kX86, kFloat, kNCHW,
+                     paddle::lite::kernels::x86::MulCompute<float>, def)
+    .BindInput("X", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput("Y", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput("Out", {LiteType::GetTensorTy(TARGET(kX86))})
+    .Finalize();
+
+REGISTER_LITE_KERNEL(mul_grad, kX86, kFloat, kNCHW,
+                     paddle::lite::kernels::x86::MulGradCompute<float>, def)
+    .BindInput("X", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput("Y", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput(paddle::framework::GradVarName("Out"),
+               {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput(paddle::framework::GradVarName("X"),
+                {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput(paddle::framework::GradVarName("Y"),
+                {LiteType::GetTensorTy(TARGET(kX86))})
+    .Finalize();
diff --git a/paddle/fluid/lite/kernels/x86/sgd_compute.cc b/paddle/fluid/lite/kernels/x86/sgd_compute.cc
new file mode 100644
index 0000000000000000000000000000000000000000..27261fd14d643f82c8847887c6788f4bb6820439
--- /dev/null
+++ b/paddle/fluid/lite/kernels/x86/sgd_compute.cc
@@ -0,0 +1,77 @@
+// Copyright (c) 2019 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.
+
+#include "paddle/fluid/framework/eigen.h"
+#include "paddle/fluid/framework/operator.h"
+#include "paddle/fluid/lite/core/kernel.h"
+#include "paddle/fluid/lite/core/op_registry.h"
+#include "paddle/fluid/operators/jit/kernels.h"
+
+namespace paddle {
+namespace lite {
+namespace kernels {
+namespace x86 {
+
+template <typename T>
+class SGDCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
+ public:
+  using param_t = operators::ActivationParam;
+
+  void Run() override {
+    auto &context = context_->As<X86Context>();
+    auto &sgd_param = *param_.get_mutable<operators::SGDParam>();
+    CHECK(context.x86_device_context);
+
+    // param.Out->template mutable_data<T>();
+
+    const auto *param = &sgd_param.Param->raw_tensor();
+    const auto *grad = &sgd_param.Grad->raw_tensor();
+    const auto *learning_rate = &sgd_param.LearningRate->raw_tensor();
+    auto *param_out = &sgd_param.ParamOut->raw_tensor();
+
+    auto sz = param_out->numel();
+    PADDLE_ENFORCE_EQ(param->numel(), sz);
+    PADDLE_ENFORCE_EQ(grad->numel(), sz);
+
+    paddle::operators::jit::sgd_attr_t attr(1, sz, 1, sz, 1);
+    const T *lr = learning_rate->data<T>();
+    const T *param_data = param->data<T>();
+    const T *grad_data = grad->data<T>();
+    int64_t rows_idx = 0;
+    T *out_data =
+        param_out->mutable_data<T>(context.x86_device_context->GetPlace());
+
+    auto sgd =
+        paddle::operators::jit::KernelFuncs<paddle::operators::jit::SgdTuple<T>,
+                                            platform::CPUPlace>::Cache()
+            .At(attr);
+    sgd(lr, param_data, grad_data, &rows_idx, out_data, &attr);
+  }
+
+  virtual ~SGDCompute() = default;
+};
+
+}  // namespace x86
+}  // namespace kernels
+}  // namespace lite
+}  // namespace paddle
+
+// float
+REGISTER_LITE_KERNEL(sgd, kX86, kFloat, kNCHW,
+                     paddle::lite::kernels::x86::SGDCompute<float>, def)
+    .BindInput("Param", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput("LearningRate", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindInput("Grad", {LiteType::GetTensorTy(TARGET(kX86))})
+    .BindOutput("ParamOut", {LiteType::GetTensorTy(TARGET(kX86))})
+    .Finalize();
diff --git a/paddle/fluid/lite/operators/CMakeLists.txt b/paddle/fluid/lite/operators/CMakeLists.txt
index 4ae76cad646c485ac1d7a2930f1fdb3c1ca218c2..40782010881127ba2cda238a0112dbabb080e189 100644
--- a/paddle/fluid/lite/operators/CMakeLists.txt
+++ b/paddle/fluid/lite/operators/CMakeLists.txt
@@ -9,6 +9,9 @@ cc_library(fetch_op_lite SRCS fetch_op.cc DEPS ${op_DEPS})
 cc_library(io_copy_op_lite SRCS io_copy_op.cc DEPS ${op_DEPS})
 cc_library(activation_ops_lite SRCS activation_ops.cc DEPS ${op_DEPS})
 cc_library(elementwise_ops_lite SRCS elementwise_ops.cc DEPS ${op_DEPS})
+cc_library(mean_op_lite SRCS mean_op.cc DEPS ${op_DEPS})
+cc_library(fill_constant_op_lite SRCS fill_constant_op.cc DEPS ${op_DEPS})
+cc_library(sgd_op_lite SRCS sgd_op.cc DEPS ${op_DEPS})
 
 cc_library(op_params_lite SRCS op_params.cc DEPS ${tensor_lite} any_lite)
 set(ops_lite
@@ -19,6 +22,9 @@ set(ops_lite
         feed_op_lite
         fetch_op_lite
         io_copy_op_lite
+        elementwise_ops_lite
+        mean_op_lite
+        fill_constant_op_lite
         PARENT_SCOPE)
 
 lite_cc_test(test_fc_op_lite SRCS fc_op_test.cc DEPS fc_op_lite memory_lite)
diff --git a/paddle/fluid/lite/operators/activation_ops.cc b/paddle/fluid/lite/operators/activation_ops.cc
index e92bc8e6ec268e276047df92714490f6df473af0..d53bb0c9e31615339e1fc6f53ec4934922daca18 100644
--- a/paddle/fluid/lite/operators/activation_ops.cc
+++ b/paddle/fluid/lite/operators/activation_ops.cc
@@ -12,6 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
+#include "paddle/fluid/framework/operator.h"
 #include "paddle/fluid/lite/core/op_lite.h"
 #include "paddle/fluid/lite/core/op_registry.h"
 
@@ -36,16 +37,52 @@ class ActivationOp : public OpLite {
 
     param_.X = GetVar<lite::Tensor>(scope, X_name);
     param_.Out = GetMutableVar<Tensor>(scope, Out_name);
+    return true;
   }
 
   void AttachKernel(KernelBase* kernel) override { kernel->SetParam(param_); }
 
+  std::string DebugString() const override { return "activation_op"; }
+
  private:
   mutable ActivationParam param_;
 };
 
+class ActivationGradOp : public OpLite {
+ public:
+  explicit ActivationGradOp(const std::string& type) : OpLite(type) {}
+
+  bool CheckShape() const override {
+    CHECK_OR_FALSE(param_.X_grad);
+    CHECK_OR_FALSE(param_.Out_grad);
+    return true;
+  }
+
+  bool InferShape() const override {
+    param_.X_grad->Resize(param_.Out_grad->dims());
+    return true;
+  }
+
+  bool AttachImpl(const OpDesc& opdesc, lite::Scope* scope) override {
+    auto Out_grad_name = opdesc.Input(framework::GradVarName("Out")).front();
+    auto X_grad_name = opdesc.Output(framework::GradVarName("X")).front();
+
+    param_.Out_grad = GetVar<lite::Tensor>(scope, Out_grad_name);
+    param_.X_grad = GetMutableVar<Tensor>(scope, X_grad_name);
+    return true;
+  }
+
+  void AttachKernel(KernelBase* kernel) override { kernel->SetParam(param_); }
+
+  std::string DebugString() const override { return "activation_grad_op"; }
+
+ private:
+  mutable ActivationGradParam param_;
+};
+
 }  // namespace operators
 }  // namespace lite
 }  // namespace paddle
 
 REGISTER_LITE_OP(square, paddle::lite::operators::ActivationOp);
+REGISTER_LITE_OP(square_grad, paddle::lite::operators::ActivationGradOp);
diff --git a/paddle/fluid/lite/operators/elementwise_ops.cc b/paddle/fluid/lite/operators/elementwise_ops.cc
index bba9209fa4db451144c45d205d331e25e0f48152..044e621a1dfa95181609cbadc7d07c326d0a47b9 100644
--- a/paddle/fluid/lite/operators/elementwise_ops.cc
+++ b/paddle/fluid/lite/operators/elementwise_ops.cc
@@ -31,7 +31,7 @@ class ElementwiseOp : public OpLite {
   }
 
   bool InferShape() const override {
-    CHECK_OR_FALSE(param_.X->dims() == param_.Y->dims());
+    CHECK_OR_FALSE(param_.X->dims().size() >= param_.Y->dims().size());
     param_.Out->Resize(param_.X->dims());
     return true;
   }
@@ -46,16 +46,64 @@ class ElementwiseOp : public OpLite {
     param_.Y = GetVar<lite::Tensor>(scope, Y_name);
     param_.Out = GetMutableVar<Tensor>(scope, Out_name);
     param_.axis = boost::get<int>(opdesc.GetAttr("axis"));
+
+    return true;
   }
 
   void AttachKernel(KernelBase* kernel) override { kernel->SetParam(param_); }
 
+  std::string DebugString() const override { return "elementwise_op"; }
+
  private:
   mutable operators::ElementwiseParam param_;
 };
 
+class ElementwiseGradExplicitOp : public OpLite {
+ public:
+  explicit ElementwiseGradExplicitOp(const std::string& type) : OpLite(type) {}
+
+  bool CheckShape() const override {
+    CHECK_OR_FALSE(param_.Y);
+    CHECK_OR_FALSE(param_.X_grad);
+    CHECK_OR_FALSE(param_.Y_grad);
+    CHECK_OR_FALSE(param_.Out_grad);
+    return true;
+  }
+
+  bool InferShape() const override {
+    param_.X_grad->Resize(param_.Out_grad->dims());
+    param_.Y_grad->Resize(param_.Y->dims());
+    return true;
+  }
+
+  bool AttachImpl(const OpDesc& opdesc, lite::Scope* scope) override {
+    CHECK_EQ(opdesc.Inputs().size(), 1UL);
+    auto Out_name = opdesc.Input(framework::GradVarName("Out")).front();
+    auto X_name = opdesc.Output(framework::GradVarName("X")).front();
+    auto Y_name = opdesc.Output(framework::GradVarName("Y")).front();
+
+    param_.Out_grad = GetVar<lite::Tensor>(scope, Out_name);
+    param_.X_grad = GetMutableVar<lite::Tensor>(scope, X_name);
+    param_.Y_grad = GetMutableVar<Tensor>(scope, Y_name);
+    param_.axis = boost::get<int>(opdesc.GetAttr("axis"));
+
+    return true;
+  }
+
+  void AttachKernel(KernelBase* kernel) override { kernel->SetParam(param_); }
+
+  std::string DebugString() const override {
+    return "elementwise_grad_explicit_op";
+  }
+
+ private:
+  mutable operators::ElementwiseGradParam param_;
+};
+
 }  // namespace operators
 }  // namespace lite
 }  // namespace paddle
 
 REGISTER_LITE_OP(elementwise_sub, paddle::lite::operators::ElementwiseOp);
+REGISTER_LITE_OP(elementwise_sub_grad,
+                 paddle::lite::operators::ElementwiseGradExplicitOp);
diff --git a/paddle/fluid/lite/operators/fill_constant_op.cc b/paddle/fluid/lite/operators/fill_constant_op.cc
new file mode 100644
index 0000000000000000000000000000000000000000..7671318fb3e5ff1a398b03b643647631bff44217
--- /dev/null
+++ b/paddle/fluid/lite/operators/fill_constant_op.cc
@@ -0,0 +1,61 @@
+// Copyright (c) 2019 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.
+
+#include "paddle/fluid/framework/operator.h"
+#include "paddle/fluid/lite/core/op_lite.h"
+#include "paddle/fluid/lite/core/op_registry.h"
+
+namespace paddle {
+namespace lite {
+namespace operators {
+
+class FillConstantOp : public OpLite {
+ public:
+  explicit FillConstantOp(const std::string& type) : OpLite(type) {}
+
+  bool CheckShape() const override {
+    CHECK_OR_FALSE(param_.Out);
+    return true;
+  }
+
+  bool InferShape() const override {
+    param_.Out->Resize(param_.shape);
+    return true;
+  }
+
+  bool AttachImpl(const OpDesc& opdesc, lite::Scope* scope) override {
+    CHECK_EQ(opdesc.Inputs().size(), 2UL);
+    auto Out_name = opdesc.Output("Out").front();
+
+    param_.Out = GetMutableVar<Tensor>(scope, Out_name);
+    param_.dtype = boost::get<int>(opdesc.GetAttr("dtype"));
+    param_.shape = boost::get<std::vector<int64_t>>(opdesc.GetAttr("shape"));
+    param_.value = boost::get<float>(opdesc.GetAttr("value"));
+    param_.force_cpu = boost::get<bool>(opdesc.GetAttr("force_cpu"));
+    return true;
+  }
+
+  void AttachKernel(KernelBase* kernel) override { kernel->SetParam(param_); }
+
+  std::string DebugString() const override { return "fill_constant"; }
+
+ private:
+  mutable operators::FillConstantParam param_;
+};
+
+}  // namespace operators
+}  // namespace lite
+}  // namespace paddle
+
+REGISTER_LITE_OP(fill_constant, paddle::lite::operators::FillConstantOp);
diff --git a/paddle/fluid/lite/operators/mean_op.cc b/paddle/fluid/lite/operators/mean_op.cc
new file mode 100644
index 0000000000000000000000000000000000000000..89798ca2e5f12d530a67aea4f10617facbf30994
--- /dev/null
+++ b/paddle/fluid/lite/operators/mean_op.cc
@@ -0,0 +1,98 @@
+// Copyright (c) 2019 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.
+
+#include "paddle/fluid/framework/operator.h"
+#include "paddle/fluid/lite/core/op_lite.h"
+#include "paddle/fluid/lite/core/op_registry.h"
+
+namespace paddle {
+namespace lite {
+namespace operators {
+
+class MeanOp : public OpLite {
+ public:
+  explicit MeanOp(const std::string& type) : OpLite(type) {}
+
+  bool CheckShape() const override {
+    CHECK_OR_FALSE(param_.X);
+    CHECK_OR_FALSE(param_.Out);
+    return true;
+  }
+
+  bool InferShape() const override {
+    param_.Out->Resize(std::vector<int64_t>{1});
+    return true;
+  }
+
+  bool AttachImpl(const OpDesc& opdesc, lite::Scope* scope) override {
+    CHECK_EQ(opdesc.Inputs().size(), 2UL);
+    auto X_name = opdesc.Input("X").front();
+    auto Out_name = opdesc.Output("Out").front();
+
+    param_.X = GetVar<lite::Tensor>(scope, X_name);
+    param_.Out = GetMutableVar<Tensor>(scope, Out_name);
+    return true;
+  }
+
+  void AttachKernel(KernelBase* kernel) override { kernel->SetParam(param_); }
+
+  std::string DebugString() const override { return "mean"; }
+
+ private:
+  mutable operators::ElementwiseParam param_;
+};
+
+class MeanGradOp : public OpLite {
+ public:
+  explicit MeanGradOp(const std::string& type) : OpLite(type) {}
+
+  bool CheckShape() const override {
+    CHECK_OR_FALSE(param_.X);
+    CHECK_OR_FALSE(param_.Out_grad);
+    CHECK_OR_FALSE(param_.X_grad);
+    return true;
+  }
+
+  bool InferShape() const override {
+    param_.X_grad->Resize(param_.X->dims());
+    // param_.X_grad->set_lod(param_.X->lod());
+    return true;
+  }
+
+  bool AttachImpl(const OpDesc& opdesc, lite::Scope* scope) override {
+    CHECK_EQ(opdesc.Inputs().size(), 3UL);
+    auto X_name = opdesc.Input("X").front();
+    auto Out_grad_name = opdesc.Input(framework::GradVarName("Out")).front();
+    auto X_grad_name = opdesc.Output(framework::GradVarName("X")).front();
+
+    param_.X = GetVar<lite::Tensor>(scope, X_name);
+    param_.Out_grad = GetVar<lite::Tensor>(scope, Out_grad_name);
+    param_.X_grad = GetMutableVar<Tensor>(scope, X_grad_name);
+    return true;
+  }
+
+  void AttachKernel(KernelBase* kernel) override { kernel->SetParam(param_); }
+
+  std::string DebugString() const override { return "mean_grad"; }
+
+ private:
+  mutable operators::MeanGradParam param_;
+};
+
+}  // namespace operators
+}  // namespace lite
+}  // namespace paddle
+
+REGISTER_LITE_OP(mean, paddle::lite::operators::MeanOp);
+REGISTER_LITE_OP(mean_grad, paddle::lite::operators::MeanGradOp);
diff --git a/paddle/fluid/lite/operators/mul_op.cc b/paddle/fluid/lite/operators/mul_op.cc
index b78ae4578a613091cb08a6bd5fe621cbbebdbf9c..75b536a093d11c264832e8875b82e7fe07ad2ba9 100644
--- a/paddle/fluid/lite/operators/mul_op.cc
+++ b/paddle/fluid/lite/operators/mul_op.cc
@@ -28,9 +28,18 @@ bool MulOpLite::CheckShape() const {
   const auto x_dims = param_.x->dims();
   const auto y_dims = param_.y->dims();
 
-  CHECK_EQ_OR_FALSE(y_dims.size(), 2UL);
   CHECK_GT_OR_FALSE(x_dims.size(), static_cast<size_t>(param_.x_num_col_dims));
+  CHECK_GT_OR_FALSE(y_dims.size(), static_cast<size_t>(param_.y_num_col_dims));
 
+  auto x_mat_dims =
+      framework::flatten_to_2d(x_dims.data(), param_.x_num_col_dims);
+  auto y_mat_dims =
+      framework::flatten_to_2d(y_dims.data(), param_.y_num_col_dims);
+
+  PADDLE_ENFORCE_EQ(x_mat_dims[1], y_mat_dims[0],
+                    "First matrix's width must be equal with second matrix's "
+                    "height. %s, %s",
+                    x_mat_dims[1], y_mat_dims[0]);
   return true;
 }
 
@@ -39,11 +48,16 @@ bool MulOpLite::InferShape() const {
   const auto y_dims = param_.y->dims();
 
   // Set output dims
-  std::vector<int64_t> out_dims(param_.x_num_col_dims + 1, 0);
+  std::vector<int64_t> out_dims(
+      param_.x_num_col_dims + y_dims.size() - param_.y_num_col_dims, 0);
   for (int i = 0; i < param_.x_num_col_dims; ++i) {
     out_dims[i] = x_dims[i];
   }
-  out_dims.back() = y_dims[1];
+
+  for (auto i = static_cast<size_t>(param_.y_num_col_dims); i < y_dims.size();
+       ++i) {
+    out_dims[i] = y_dims[i];
+  }
 
   param_.output->Resize(lite::DDim(out_dims));
 
@@ -52,6 +66,38 @@ bool MulOpLite::InferShape() const {
   return true;
 }
 
+bool MulGradOpLite::CheckShape() const {
+  CHECK_OR_FALSE(param_.x);
+  CHECK_OR_FALSE(param_.y);
+  CHECK_OR_FALSE(param_.output_grad);
+  CHECK_OR_FALSE(param_.x_grad);
+  CHECK_OR_FALSE(param_.y_grad);
+
+  return true;
+}
+
+bool MulGradOpLite::InferShape() const {
+  param_.x_grad->Resize(param_.x->dims());
+  param_.y_grad->Resize(param_.y->dims());
+  return true;
+}
+
+bool MulGradOpLite::AttachImpl(const OpDesc &op_desc, lite::Scope *scope) {
+  auto X_name = op_desc.Input("X").front();
+  auto Y_name = op_desc.Input("Y").front();
+  auto Out_grad_name = op_desc.Output(framework::GradVarName("Out")).front();
+  auto X_grad_name = op_desc.Output(framework::GradVarName("X")).front();
+  auto Y_grad_name = op_desc.Output(framework::GradVarName("Y")).front();
+
+  param_.x = GetVar<lite::Tensor>(scope, X_name);
+  param_.y = GetVar<lite::Tensor>(scope, Y_name);
+  param_.output_grad = GetVar<lite::Tensor>(scope, Out_grad_name);
+  param_.x_grad = GetMutableVar<lite::Tensor>(scope, X_grad_name);
+  param_.y_grad = GetMutableVar<lite::Tensor>(scope, Y_grad_name);
+
+  return true;
+}
+
 }  // namespace operators
 }  // namespace lite
 }  // namespace paddle
diff --git a/paddle/fluid/lite/operators/mul_op.h b/paddle/fluid/lite/operators/mul_op.h
index 806fdb01f9bd6299482e63c982eade65442f1329..73827753bd2311334c7cab31771b52e8f08008f3 100644
--- a/paddle/fluid/lite/operators/mul_op.h
+++ b/paddle/fluid/lite/operators/mul_op.h
@@ -61,6 +61,26 @@ class MulOpLite : public OpLite {
   mutable MulParam param_;
 };
 
+class MulGradOpLite : public OpLite {
+ public:
+  MulGradOpLite() {}
+
+  explicit MulGradOpLite(const std::string &type) : OpLite(type) {}
+
+  bool CheckShape() const override;
+
+  bool InferShape() const override;
+
+  void AttachKernel(KernelBase *kernel) override { kernel->SetParam(param_); }
+
+  bool AttachImpl(const OpDesc &op_desc, lite::Scope *scope) override;
+
+  std::string DebugString() const override { return "mul_grad"; }
+
+ private:
+  mutable MulGradParam param_;
+};
+
 }  // namespace operators
 }  // namespace lite
 }  // namespace paddle
diff --git a/paddle/fluid/lite/operators/op_params.h b/paddle/fluid/lite/operators/op_params.h
index d21c0e3135d17c454e85e3cc4650f9d507aca0bb..c970ac2d87379bd4fdb9b99ab9b9cd8f13210d3a 100644
--- a/paddle/fluid/lite/operators/op_params.h
+++ b/paddle/fluid/lite/operators/op_params.h
@@ -72,6 +72,17 @@ struct MulParam {
   int y_num_col_dims{1};
 };
 
+struct MulGradParam {
+  const lite::Tensor* x{};
+  const lite::Tensor* y{};
+  const lite::Tensor* output_grad{};
+  lite::Tensor* x_grad{};
+  lite::Tensor* y_grad{};
+
+  int x_num_col_dims{1};
+  int y_num_col_dims{1};
+};
+
 // For Scale Op
 struct ScaleParam {
   lite::Tensor* x{};
@@ -91,9 +102,10 @@ struct ElementwiseParam {
 };
 
 struct ElementwiseGradParam {
-  const lite::Tensor* X_grad{};
-  const lite::Tensor* Y_grad{};
-  lite::Tensor* Out_grad{};
+  const lite::Tensor* Y{};
+  const lite::Tensor* Out_grad{};
+  lite::Tensor* X_grad{};
+  lite::Tensor* Y_grad{};
   int axis{-1};  // for broadcasting.
 };
 
@@ -111,6 +123,39 @@ struct ActivationGradParam {
   const lite::Tensor* Out_grad{};
 };
 
+/// ----------------------- mean operators ----------------------
+struct MeanParam {
+  const lite::Tensor* X{};
+  lite::Tensor* Out{};
+};
+
+struct MeanGradParam {
+  const lite::Tensor* X{};
+  const lite::Tensor* Out_grad{};
+  // for backward
+  lite::Tensor* X_grad{};
+};
+
+/// ----------------------- fill_constant operators ----------------------
+struct FillConstantParam {
+  int dtype{framework::proto::VarType::FP32};
+  std::vector<int64_t> shape{};
+  float value{0.0f};
+  // useless for x86, keep it for compatibility
+  bool force_cpu{false};
+  lite::Tensor* Out{};
+};
+
+/// ----------------------- sgd operators ----------------------
+struct SGDParam {
+  int dtype{framework::proto::VarType::FP32};
+
+  const lite::Tensor* Param{};
+  const lite::Tensor* LearningRate{};
+  const lite::Tensor* Grad{};
+  lite::Tensor* ParamOut{};
+};
+
 }  // namespace operators
 }  // namespace lite
 }  // namespace paddle
diff --git a/paddle/fluid/lite/operators/sgd_op.cc b/paddle/fluid/lite/operators/sgd_op.cc
new file mode 100644
index 0000000000000000000000000000000000000000..2571ad0b102d8e96d2f3f6d51092ea9f6afbfab1
--- /dev/null
+++ b/paddle/fluid/lite/operators/sgd_op.cc
@@ -0,0 +1,57 @@
+// Copyright (c) 2019 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.
+
+#include "/paddle/paddle/fluid/lite/operators/sgd_op.h"
+#include "paddle/fluid/lite/core/op_lite.h"
+#include "paddle/fluid/lite/core/op_registry.h"
+
+namespace paddle {
+namespace lite {
+namespace operators {
+
+bool SGDOpLite::CheckShape() const {
+  CHECK_OR_FALSE(param_.Param);
+  CHECK_OR_FALSE(param_.LearningRate);
+  CHECK_OR_FALSE(param_.Grad);
+  CHECK_OR_FALSE(param_.ParamOut);
+  return true;
+}
+
+bool SGDOpLite::InferShape() const {
+  auto lr_dims = param_.LearningRate->dims().data();
+  CHECK_EQ_OR_FALSE(framework::product(lr_dims), 1);
+  param_.ParamOut->Resize(param_.Param->dims());
+  return true;
+}
+
+bool SGDOpLite::AttachImpl(const OpDesc& opdesc, lite::Scope* scope) {
+  CHECK_EQ(opdesc.Inputs().size(), 3UL);
+  auto Param_name = opdesc.Input("Param").front();
+  auto LearningRate_name = opdesc.Input("LearningRate").front();
+  auto Grad_name = opdesc.Input("Grad").front();
+  auto ParamOut_name = opdesc.Output("ParamOut").front();
+
+  param_.Param = GetVar<lite::Tensor>(scope, Param_name);
+  param_.LearningRate = GetVar<lite::Tensor>(scope, LearningRate_name);
+  param_.Grad = GetVar<Tensor>(scope, Grad_name);
+  param_.ParamOut = GetMutableVar<Tensor>(scope, ParamOut_name);
+
+  return true;
+}
+
+}  // namespace operators
+}  // namespace lite
+}  // namespace paddle
+
+REGISTER_LITE_OP(sgd, paddle::lite::operators::SGDOpLite);
diff --git a/paddle/fluid/lite/operators/sgd_op.h b/paddle/fluid/lite/operators/sgd_op.h
new file mode 100644
index 0000000000000000000000000000000000000000..dea045c0b67cbf404398ca49bd2096ff1c524091
--- /dev/null
+++ b/paddle/fluid/lite/operators/sgd_op.h
@@ -0,0 +1,50 @@
+// Copyright (c) 2019 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 <string>
+#include <vector>
+#include "paddle/fluid/lite/core/kernel.h"
+#include "paddle/fluid/lite/core/op_lite.h"
+#include "paddle/fluid/lite/core/scope.h"
+#include "paddle/fluid/lite/operators/op_params.h"
+#include "paddle/fluid/lite/utils/all.h"
+
+namespace paddle {
+namespace lite {
+namespace operators {
+
+class SGDOpLite : public OpLite {
+ public:
+  SGDOpLite() {}
+
+  explicit SGDOpLite(const std::string &type) : OpLite(type) {}
+
+  bool CheckShape() const override;
+
+  bool InferShape() const override;
+
+  void AttachKernel(KernelBase *kernel) override { kernel->SetParam(param_); }
+
+  bool AttachImpl(const OpDesc &op_desc, lite::Scope *scope) override;
+
+  std::string DebugString() const override { return "sgd"; }
+
+ private:
+  mutable SGDParam param_;
+};
+
+}  // namespace operators
+}  // namespace lite
+}  // namespace paddle