diff --git a/lite/api/CMakeLists.txt b/lite/api/CMakeLists.txt
index 5980e5ebe0b922e68a06bf84b51c33271d13e360..2c7a31f6636fccbbdb5d5dbb15fdf5691cf72171 100644
--- a/lite/api/CMakeLists.txt
+++ b/lite/api/CMakeLists.txt
@@ -10,6 +10,7 @@ if (LITE_ON_TINY_PUBLISH)
 endif()
 
 set(light_lib_DEPS light_api paddle_api paddle_api_light)
+
 if ((NOT LITE_ON_TINY_PUBLISH) AND (LITE_WITH_CUDA OR LITE_WITH_X86 OR LITE_WITH_BM OR ARM_TARGET_OS STREQUAL "android" OR ARM_TARGET_OS STREQUAL "armlinux"))
     #full api dynamic library
     lite_cc_library(paddle_full_api_shared SHARED SRCS paddle_api.cc light_api.cc cxx_api.cc cxx_api_impl.cc light_api_impl.cc
@@ -264,8 +265,6 @@ if (NOT LITE_ON_TINY_PUBLISH)
         NPU_DEPS ${npu_kernels}
         CL_DEPS ${opencl_kernels}
         FPGA_DEPS ${fpga_kernels}
-        CV_DEPS paddle_cv_arm
-        NPU_DEPS ${npu_kernels}
         BM_DEPS ${bm_kernels})
     # The final inference library for just MobileConfig.
     bundle_static_library(paddle_api_full paddle_api_full_bundled bundle_full_api)
diff --git a/lite/backends/x86/math/beam_search.cc b/lite/backends/x86/math/beam_search.cc
index 8d61fb3bbb97705c697fba934e6cab9424f85bad..9cf3281152840416dc141f98992499c663783b7a 100644
--- a/lite/backends/x86/math/beam_search.cc
+++ b/lite/backends/x86/math/beam_search.cc
@@ -96,8 +96,8 @@ class BeamSearchFunctor<TARGET(kX86), T> {
     //        : nullptr;
 
     // fill in data
-    std::vector<size_t> low_level;
-    size_t low_offset = 0;
+    std::vector<uint64_t> low_level;
+    uint64_t low_offset = 0;
     for (auto &items : selected_items) {
       low_level.push_back(low_offset);
       for (auto &item : items) {
diff --git a/lite/backends/x86/math/beam_search_test.cc b/lite/backends/x86/math/beam_search_test.cc
index 904870207b08d462025ecb4b84d6cf57f7b13f26..233fa03fbaa31165dae4453affb148276f8c6584 100644
--- a/lite/backends/x86/math/beam_search_test.cc
+++ b/lite/backends/x86/math/beam_search_test.cc
@@ -22,8 +22,8 @@ void PrepareCPUTensors(paddle::framework::LoDTensor* ids,
                        paddle::framework::LoDTensor* pre_scores) {
   // lod
   paddle::framework::LoD lod;
-  std::vector<size_t> level0({0, 2, 4});
-  std::vector<size_t> level1({0, 1, 2, 3, 4});
+  std::vector<uint64_t> level0({0, 2, 4});
+  std::vector<uint64_t> level1({0, 1, 2, 3, 4});
   lod.push_back(level0);
   lod.push_back(level1);
   ids->set_lod(lod);
diff --git a/lite/backends/x86/math/blas_impl.h b/lite/backends/x86/math/blas_impl.h
index 72d0736268f342187f0be8c6348f5bed75df30ea..34b258892be05625ae88076eff175f56a53d3537 100644
--- a/lite/backends/x86/math/blas_impl.h
+++ b/lite/backends/x86/math/blas_impl.h
@@ -483,7 +483,7 @@ void Blas<Target>::MatMul(const lite::Tensor &mat_a,
              mat_a.data<T>(),
              mat_b.data<T>(),
              beta,
-             mat_out->mutable_data<T>());
+             mat_out->template mutable_data<T>());
 }
 
 template <>
@@ -759,7 +759,7 @@ void Blas<Target>::MatMul(const lite::Tensor &mat_a,
                            mat_a.data<T>(),
                            mat_b.data<T>(),
                            beta,
-                           mat_out->mutable_data<T>());
+                           mat_out->template mutable_data<T>());
   } else {
     PADDLE_ENFORCE(dim_a.batch_size_ == dim_b.batch_size_ ||
                    dim_a.batch_size_ == 0 || dim_b.batch_size_ == 0);
@@ -773,7 +773,7 @@ void Blas<Target>::MatMul(const lite::Tensor &mat_a,
         mat_a.data<T>(),
         mat_b.data<T>(),
         beta,
-        mat_out->mutable_data<T>(),
+        mat_out->template mutable_data<T>(),
         dim_a.batch_size_ == 0 ? dim_b.batch_size_ : dim_a.batch_size_,
         dim_a.stride_,
         dim_b.stride_);
diff --git a/lite/backends/x86/math/concat_and_split.cc b/lite/backends/x86/math/concat_and_split.cc
index bec93dde41fdb654cfbfd20f5d9e59d1d372e3a8..df75654aebaba26b9889d97445bd889cdf2f4eb0 100644
--- a/lite/backends/x86/math/concat_and_split.cc
+++ b/lite/backends/x86/math/concat_and_split.cc
@@ -51,7 +51,7 @@ class ConcatFunctor<lite::TargetType::kX86, T> {
     // auto cpu_place = boost::get<platform::CPUPlace>(context.GetPlace());
 
     // computation
-    auto output_data = output->mutable_data<T>();
+    auto output_data = output->template mutable_data<T>();
     int col_idx = 0;
     for (int j = 0; j < num; ++j) {
       int col_len = input_cols[j];
@@ -108,7 +108,7 @@ class SplitFunctor<lite::TargetType::kX86, T> {
         int col_len = output_cols[j];
         auto* out_tensor = outputs->at(j);
         if (out_tensor != nullptr) {
-          T* dst_ptr = out_tensor->mutable_data<T>() + k * col_len;
+          T* dst_ptr = out_tensor->template mutable_data<T>() + k * col_len;
           std::copy_n(src_ptr + col_idx, col_len, dst_ptr);
           // memory::Copy(cpu_place, dst_ptr, cpu_place, src_ptr + col_idx,
           //             sizeof(T) * col_len);
diff --git a/lite/backends/x86/math/cross_entropy.cc b/lite/backends/x86/math/cross_entropy.cc
index 366486924a8c4a5eefd6341183b4f1bc1c0277ad..941a34643669f060cdd18f38f92c39e529da7b19 100644
--- a/lite/backends/x86/math/cross_entropy.cc
+++ b/lite/backends/x86/math/cross_entropy.cc
@@ -50,8 +50,8 @@ class CrossEntropyFunctor<lite::TargetType::kX86, T> {
                 .reshape(batch_axis_remain)
                 .sum(Eigen::DSizes<int, 1>(1)));
     } else {
-      const T* prob_data = prob->data<T>();
-      T* loss_data = out->mutable_data<T>();
+      const T* prob_data = prob->template data<T>();
+      T* loss_data = out->template mutable_data<T>();
 
       const int64_t* label_data = labels->data<int64_t>();
       for (int i = 0; i < batch_size; ++i) {
diff --git a/lite/backends/x86/math/im2col.cc b/lite/backends/x86/math/im2col.cc
index 1c4c6a49f5bb804a57344c59368d18255e8a7912..b916c912ffc2a4d62b63b98fdce150b353ba087e 100644
--- a/lite/backends/x86/math/im2col.cc
+++ b/lite/backends/x86/math/im2col.cc
@@ -99,7 +99,7 @@ class Col2ImFunctor<lite::x86::math::ColFormat::kCFO,
 
     int channels_col = im_channels * filter_height * filter_width;
 
-    T* im_data = im->mutable_data<T>();
+    T* im_data = im->template mutable_data<T>();
     const T* col_data = col.data<T>();
 
     for (int c = 0; c < channels_col; ++c) {
@@ -161,7 +161,7 @@ class Im2ColFunctor<lite::x86::math::ColFormat::kOCF,
     int col_width = col->dims()[1];
 
     const T* im_data = im.data<T>();
-    T* col_data = col->mutable_data<T>();
+    T* col_data = col->template mutable_data<T>();
 
     for (int col_row_idx = 0; col_row_idx < col_height; ++col_row_idx) {
       for (int col_col_idx = 0; col_col_idx < col_width; ++col_col_idx) {
@@ -235,7 +235,7 @@ class Col2ImFunctor<lite::x86::math::ColFormat::kOCF,
         "col_width and padding(padding_left, padding_right) are "
         "inconsistent.");
 
-    T* im_data = im->mutable_data<T>();
+    T* im_data = im->template mutable_data<T>();
     const T* col_data = col.data<T>();
 
     for (int col_row_idx = 0; col_row_idx < col_height; ++col_row_idx) {
diff --git a/lite/backends/x86/math/im2col_cfo_cpu.h b/lite/backends/x86/math/im2col_cfo_cpu.h
index 4623f045bb1cbe67605b36621efcc3285b989ad5..97579647d4ec3a9a95e033a153417cb0aaadbeb6 100644
--- a/lite/backends/x86/math/im2col_cfo_cpu.h
+++ b/lite/backends/x86/math/im2col_cfo_cpu.h
@@ -42,7 +42,7 @@ inline void im2col_common(const lite::Tensor& im,
   int channels_col = im_channels * filter_height * filter_width;
 
   const T* im_data = im.data<T>();
-  T* col_data = col->mutable_data<T>();
+  T* col_data = col->template mutable_data<T>();
   for (int c = 0; c < channels_col; ++c) {
     int w_offset = c % filter_width;
     int h_offset = (c / filter_width) % filter_height;
@@ -77,7 +77,7 @@ inline void im2col_sh1sw1dh1dw1ph0pw0(const lite::Tensor& im,
   int output_width = col->dims()[4];
 
   const T* im_data = im.data<T>();
-  T* col_data = col->mutable_data<T>();
+  T* col_data = col->template mutable_data<T>();
   int col_matrix_width = output_width * output_height;
   int im_size = im_height * im_width;
   size_t copy_size = sizeof(T) * output_width;
@@ -123,7 +123,7 @@ inline void im2col_sh1sw1dh1dw1ph1pw1(const lite::Tensor& im,
   constexpr int prw = 1;
 
   const T* im_data = im.data<T>();
-  T* col_data = col->mutable_data<T>();
+  T* col_data = col->template mutable_data<T>();
   int im_size = im_height * im_width;
   int col_matrix_width = output_width * output_height;
   int col_block_fh = filter_width * col_matrix_width;  // fw*oh*ow
diff --git a/lite/backends/x86/math/math_function.cc b/lite/backends/x86/math/math_function.cc
index a17807e8a997f0ecf908313a4cb205676e4fa4b8..05a10b5a19fbc8e80ee6dd07e67154d9cf6d1b22 100644
--- a/lite/backends/x86/math/math_function.cc
+++ b/lite/backends/x86/math/math_function.cc
@@ -65,7 +65,7 @@ struct TensorSetConstantCPU {
       : tensor_(tensor), value_(value) {}
   template <typename T>
   void apply() const {
-    auto* begin = tensor_->mutable_data<T>(lite::TargetType::kX86);
+    auto* begin = tensor_->template mutable_data<T>(lite::TargetType::kX86);
     std::fill(begin, begin + tensor_->numel(), static_cast<T>(value_));
   }
   lite::Tensor* tensor_;
@@ -126,7 +126,7 @@ struct RowwiseAdd<lite::TargetType::kX86, T> {
 
     const T* input_data = input.data<T>();
     const T* vector_data = vector.data<T>();
-    T* output_data = output->mutable_data<T>();
+    T* output_data = output->template mutable_data<T>();
     for (int64_t i = 0; i < in_dims[0]; ++i) {
       for (int64_t j = 0; j < size; ++j) {
         output_data[i * in_dims[0] + j] =
diff --git a/lite/backends/x86/math/math_function_impl.h b/lite/backends/x86/math/math_function_impl.h
index 3aaca2e59370f8f2b922554ec6f378bb2a3de9b5..acfb76759f6fc9fa4122afd2388bc3adf8f5ea22 100644
--- a/lite/backends/x86/math/math_function_impl.h
+++ b/lite/backends/x86/math/math_function_impl.h
@@ -83,7 +83,7 @@ class ColwiseSum<lite::TargetType::kX86, T> {
     auto size = in_dims[1];
     PADDLE_ENFORCE_EQ(out->numel(), size);
 
-    T* out_buf = out->mutable_data<T>(out->target());
+    T* out_buf = out->template mutable_data<T>(out->target());
     const T* in_buf = input.data<T>();
 
     for (size_t i = 0; i < static_cast<size_t>(height); ++i) {
@@ -129,7 +129,7 @@ class RowwiseMean<lite::TargetType::kX86, T> {
     auto size = in_dims[1];
     PADDLE_ENFORCE_EQ(out->numel(), height);
     auto inv_size = 1.0 / size;
-    T* out_buf = out->mutable_data<T>(out->target());
+    T* out_buf = out->template mutable_data<T>(out->target());
     const T* in_buf = input.data<T>();
 
     for (size_t i = 0; i < static_cast<size_t>(height); ++i) {
@@ -173,7 +173,7 @@ class RowwiseSum<lite::TargetType::kX86, T> {
     auto size = in_dims[1];
     PADDLE_ENFORCE_EQ(out->numel(), height);
 
-    T* out_buf = out->mutable_data<T>(out->target());
+    T* out_buf = out->template mutable_data<T>(out->target());
     const T* in_buf = input.data<T>();
 
     for (size_t i = 0; i < static_cast<size_t>(height); ++i) {
diff --git a/lite/backends/x86/math/maxouting.cc b/lite/backends/x86/math/maxouting.cc
index 20b40fe7c5000cc1d0ee80c18efa5d1defc911f0..f97b16f7fb3326a6d2eb186e2984df3dbd0a0a90 100644
--- a/lite/backends/x86/math/maxouting.cc
+++ b/lite/backends/x86/math/maxouting.cc
@@ -35,7 +35,7 @@ class MaxOutFunctor<lite::TargetType::kX86, T> {
     // c_size means the output size of each sample
     int c_size = fea_size * output_channels;
     const T* input_data = input.data<T>();
-    T* output_data = output->mutable_data<T>(lite::TargetType::kX86);
+    T* output_data = output->template mutable_data<T>(lite::TargetType::kX86);
 
     for (int i = 0; i < batch_size; ++i) {
       int new_bindex = c_size * i;
@@ -72,7 +72,8 @@ class MaxOutGradFunctor<lite::TargetType::kX86, T> {
     const T* input_data = input.data<T>();
     const T* output_data = output.data<T>();
     const T* output_grad_data = output_grad.data<T>();
-    T* input_grad_data = input_grad->mutable_data<T>(lite::TargetType::kX86);
+    T* input_grad_data =
+        input_grad->template mutable_data<T>(lite::TargetType::kX86);
 
     for (int i = 0; i < batch_size; ++i) {
       int blen = fea_size * output_channels * i;
diff --git a/lite/backends/x86/math/pooling.cc b/lite/backends/x86/math/pooling.cc
index ab6c1edb481f914d5751149aca2595fee550ca51..4393c42157bb7667ec2218e8b76f05a2c60bcc86 100644
--- a/lite/backends/x86/math/pooling.cc
+++ b/lite/backends/x86/math/pooling.cc
@@ -54,8 +54,8 @@ class Pool2dFunctor<lite::TargetType::kX86, PoolProcess, T> {
     const int input_stride = input_height * input_width;
     const int output_stride = output_height * output_width;
 
-    const T* input_data = input->data<T>();
-    T* output_data = output->mutable_data<T>(lite::TargetType::kX86);
+    const T* input_data = input->template data<T>();
+    T* output_data = output->template mutable_data<T>(lite::TargetType::kX86);
 
     int hstart, hend;
     int wstart, wend;
@@ -137,7 +137,8 @@ class Pool2dGradFunctor<lite::TargetType::kX86, PoolProcess, T> {
     const T* input_data = input.data<T>();
     const T* output_data = output.data<T>();
     const T* output_grad_data = output_grad.data<T>();
-    T* input_grad_data = input_grad->mutable_data<T>(lite::TargetType::kX86);
+    T* input_grad_data =
+        input_grad->template mutable_data<T>(lite::TargetType::kX86);
 
     int hstart, hend;
     int wstart, wend;
@@ -220,7 +221,8 @@ class MaxPool2dGradFunctor<lite::TargetType::kX86, T> {
     const T* input_data = input.data<T>();
     const T* output_data = output.data<T>();
     const T* output_grad_data = output_grad.data<T>();
-    T* input_grad_data = input_grad->mutable_data<T>(lite::TargetType::kX86);
+    T* input_grad_data =
+        input_grad->template mutable_data<T>(lite::TargetType::kX86);
 
     for (int i = 0; i < batch_size; i++) {
       for (int c = 0; c < output_channels; ++c) {
@@ -322,7 +324,7 @@ class Pool3dFunctor<lite::TargetType::kX86, PoolProcess, T> {
     const int output_stride = output_depth * output_height * output_width;
 
     const T* input_data = input.data<T>();
-    T* output_data = output->mutable_data<T>(lite::TargetType::kX86);
+    T* output_data = output->template mutable_data<T>(lite::TargetType::kX86);
 
     int dstart, dend;
     int hstart, hend;
@@ -425,7 +427,8 @@ class Pool3dGradFunctor<lite::TargetType::kX86, PoolProcess, T> {
     const T* input_data = input.data<T>();
     const T* output_data = output.data<T>();
     const T* output_grad_data = output_grad.data<T>();
-    T* input_grad_data = input_grad->mutable_data<T>(lite::TargetType::kX86);
+    T* input_grad_data =
+        input_grad->template mutable_data<T>(lite::TargetType::kX86);
 
     int dstart, dend;
     int hstart, hend;
@@ -530,7 +533,8 @@ class MaxPool3dGradFunctor<lite::TargetType::kX86, T> {
     const T* input_data = input.data<T>();
     const T* output_data = output.data<T>();
     const T* output_grad_data = output_grad.data<T>();
-    T* input_grad_data = input_grad->mutable_data<T>(lite::TargetType::kX86);
+    T* input_grad_data =
+        input_grad->template mutable_data<T>(lite::TargetType::kX86);
 
     for (int i = 0; i < batch_size; i++) {
       for (int c = 0; c < output_channels; ++c) {
diff --git a/lite/backends/x86/math/sample_prob.h b/lite/backends/x86/math/sample_prob.h
index 5312b3df10a41444c073f0cf61d69bce6fc3859a..4351df68a2630c2b8c6f7285f3955a9b06165f67 100644
--- a/lite/backends/x86/math/sample_prob.h
+++ b/lite/backends/x86/math/sample_prob.h
@@ -58,11 +58,11 @@ class SampleWithProb {
     const int64_t* label_data = L->data<int64_t>();
     // int64_t* samples_data =
     //    S->mutable_data<int64_t>(ret_dim, Target);
-    // T* probabilities_data = P->mutable_data<T>(ret_dim, Target);
+    // T* probabilities_data = P->template mutable_data<T>(ret_dim, Target);
     S->Resize({batch_size, num_sampled_classes});
     auto* samples_data = S->mutable_data<int64_t>(Target);
     P->Resize({batch_size, num_sampled_classes});
-    auto* probabilities_data = P->mutable_data<T>(Target);
+    auto* probabilities_data = P->template mutable_data<T>(Target);
 
     // temp sets for unique sampling
     std::unordered_set<int64_t> tmp_samples;
diff --git a/lite/backends/x86/math/search_fc.cc b/lite/backends/x86/math/search_fc.cc
index 56fc363cb48ec5c58f4a7ee3e62a2e6bd7355021..014b213d4f10f7161dc1881d582cca93f2be58e5 100644
--- a/lite/backends/x86/math/search_fc.cc
+++ b/lite/backends/x86/math/search_fc.cc
@@ -42,7 +42,7 @@ class SearchFcFunctor<lite::TargetType::kX86, T> {
     lite::DDim dims(std::vector<int64_t>({bottom.dims()[0], out_size}));
 
     const auto bottom_data = bottom.data<T>();
-    auto top_data = top->mutable_data<T>(lite::TargetType::kX86);
+    auto top_data = top->template mutable_data<T>(lite::TargetType::kX86);
     const auto weights = w.data<T>();
     auto blas = math::GetBlas<lite::TargetType::kX86, T>(context);
     call_gemm<lite::X86Context, T>(blas,
diff --git a/lite/backends/x86/math/selected_rows_functor.cc b/lite/backends/x86/math/selected_rows_functor.cc
index f8f1b42361832771ba04d1bdc8b3e2e05f954e29..acb377e31ccac96547fc4f0644332cfad36d66bc 100644
--- a/lite/backends/x86/math/selected_rows_functor.cc
+++ b/lite/backends/x86/math/selected_rows_functor.cc
@@ -52,7 +52,7 @@ struct SelectedRowsAdd<lite::TargetType::kX86, T> {
     PADDLE_ENFORCE_EQ(in1_row_numel, in2_value.numel() / in2_rows.size());
     PADDLE_ENFORCE_EQ(in1_row_numel, out_value->numel() / out_rows.size());
 
-    auto* out_data = out_value->mutable_data<T>();
+    auto* out_data = out_value->template mutable_data<T>();
     auto* in1_data = in1_value.data<T>();
     std::copy_n(in1_data, in1_value.numel(), out_data);
 
@@ -87,7 +87,7 @@ struct SelectedRowsAddTensor<lite::TargetType::kX86, T> {
     functor(context, output, 0.0);
 
     auto* in1_data = in1_value.data<T>();
-    auto* out_data = output->mutable_data<T>();
+    auto* out_data = output->template mutable_data<T>();
 
     for (size_t i = 0; i < in1_rows.size(); i++) {
       for (int64_t j = 0; j < in1_row_numel; j++) {
@@ -127,7 +127,7 @@ struct SelectedRowsAddTo<lite::TargetType::kX86, T> {
     in2_rows.insert(in2_rows.end(), in1_rows.begin(), in1_rows.end());
 
     auto* in1_data = in1_value.data<T>();
-    auto* in2_data = in2_value->mutable_data<T>();
+    auto* in2_data = in2_value->template mutable_data<T>();
     std::copy_n(in1_data, in1_value.numel(), in2_data + input2_offset);
   }
 };
@@ -161,7 +161,7 @@ struct SelectedRowsSumTo<lite::TargetType::kX86, T> {
     input2->set_rows(in2_rows);
 
     auto* in2_value = input2->mutable_value();
-    T* in2_data = in2_value->mutable_data<T>();
+    T* in2_data = in2_value->template mutable_data<T>();
     auto blas = math::GetBlas<lite::TargetType::kX86, T>(context);
     size_t offset = 0u;
     for (size_t i = 0u; i != input1.size(); ++i) {
@@ -194,7 +194,7 @@ struct SelectedRowsAddToTensor<lite::TargetType::kX86, T> {
     PADDLE_ENFORCE_EQ(in1_row_numel, input2->numel() / in1_height);
 
     auto* in1_data = in1_value.data<T>();
-    auto* input2_data = input2->mutable_data<T>();
+    auto* input2_data = input2->template mutable_data<T>();
 
     for (size_t i = 0; i < in1_rows.size(); i++) {
       for (int64_t j = 0; j < in1_row_numel; j++) {
@@ -305,7 +305,7 @@ struct MergeAdd<lite::TargetType::kX86, T> {
     lite::DDim dims(std::vector<int64_t>(
         {static_cast<int64_t>(merged_row_set.size()), input_width}));
     out.mutable_value()->Resize(dims);
-    auto* out_data = out.mutable_value()->mutable_data<T>();
+    auto* out_data = out.mutable_value()->template mutable_data<T>();
 
     if (merged_row_set.size() == row_num && !sorted_result) {
       // no duplicated ids, just concat the result together
@@ -385,7 +385,7 @@ struct UpdateToTensor<lite::TargetType::kX86, T> {
     PADDLE_ENFORCE_EQ(in1_row_numel, input2->numel() / in1_height);
 
     auto* in1_data = in1_value.data<T>();
-    auto* input2_data = input2->data<T>();
+    auto* input2_data = input2->template data<T>();
 
     // FIXME(typhoonzero): use macro fix the below messy code.
     switch (op) {
diff --git a/lite/backends/x86/math/sequence2batch.cc b/lite/backends/x86/math/sequence2batch.cc
index c12c05414d717dce706590a491ccae2384f3bfe5..aa7aeac532e2fa1f90d452924b364be1896ee862 100644
--- a/lite/backends/x86/math/sequence2batch.cc
+++ b/lite/backends/x86/math/sequence2batch.cc
@@ -24,10 +24,10 @@ class CopyMatrixRowsFunctor<lite::TargetType::kX86, T> {
  public:
   void operator()(const lite::Context<lite::TargetType::kX86>& context,
                   const lite::Tensor& src,
-                  const std::vector<size_t>& index_lod,
+                  const std::vector<uint64_t>& index_lod,
                   lite::Tensor* dst,
                   bool is_src_index) {
-    const size_t* index = index_lod.data();
+    const uint64_t* index = index_lod.data();
     const auto& src_dims = src.dims();
     const auto& dst_dims = dst->dims();
     PADDLE_ENFORCE_EQ(
@@ -39,7 +39,7 @@ class CopyMatrixRowsFunctor<lite::TargetType::kX86, T> {
     auto height = dst_dims[0];
     auto width = dst_dims[1];
     auto* src_data = src.data<T>();
-    auto* dst_data = dst->mutable_data<T>();
+    auto* dst_data = dst->template mutable_data<T>();
     const int sz = width * sizeof(T);
     if (is_src_index) {
       for (int i = 0; i < height; ++i) {
diff --git a/lite/backends/x86/math/sequence2batch.h b/lite/backends/x86/math/sequence2batch.h
index a70cc5bf73522f97ab312fc48553b5316dbf8376..63df008b6dfca936265019a71ac0a553c525dc73 100644
--- a/lite/backends/x86/math/sequence2batch.h
+++ b/lite/backends/x86/math/sequence2batch.h
@@ -36,7 +36,7 @@ class CopyMatrixRowsFunctor {
   // The indexed rows are based on the input index.
   void operator()(const lite::Context<Target>& context,
                   const lite::Tensor& src,
-                  const std::vector<size_t>& index_lod,
+                  const std::vector<uint64_t>& index_lod,
                   lite::Tensor* dst,
                   bool is_src_index);
 };
@@ -130,8 +130,8 @@ class LoDTensor2BatchFunctor {
     // batch_lods[2] is the sort order for the input LoDTensor.
     batch_lods->at(2).resize(seq_info.size());
 
-    size_t* batch_starts = batch_lods->at(0).data();
-    size_t* seq2batch_idx = batch_lods->at(1).data();
+    auto* batch_starts = batch_lods->at(0).data();
+    auto* seq2batch_idx = batch_lods->at(1).data();
     batch_starts[0] = 0;
     for (int n = 0; n < max_seqlen; n++) {
       auto batch_id = static_cast<int>(batch_starts[n]);
@@ -148,7 +148,7 @@ class LoDTensor2BatchFunctor {
       }
       batch_starts[n + 1] = static_cast<size_t>(batch_id);
     }
-    size_t* seq_order = batch_lods->at(2).data();
+    auto* seq_order = batch_lods->at(2).data();
     for (size_t i = 0; i < seq_info.size(); ++i) {
       seq_order[i] = seq_info[i].seq_idx;
     }
diff --git a/lite/backends/x86/math/sequence_padding.cc b/lite/backends/x86/math/sequence_padding.cc
index fbb6c11a5f7a0cbae36d2f8fba0b141dadadf542..eb977dc2d23f4cfaeec7dd5a6e2834ca23345f76 100644
--- a/lite/backends/x86/math/sequence_padding.cc
+++ b/lite/backends/x86/math/sequence_padding.cc
@@ -22,15 +22,15 @@ namespace math {
 template <typename T>
 void CopyValidData(lite::Tensor* dst_tensor,
                    const lite::Tensor* src_tensor,
-                   const std::vector<size_t>& seq_offsets,
+                   const std::vector<uint64_t>& seq_offsets,
                    int pad_seq_len,
                    int step_width,
                    bool norm_by_len,
                    CopyType type,
                    PadLayout layout) {
   int seq_num = seq_offsets.size() - 1;
-  const T* src_data = src_tensor->data<T>();
-  T* dst_data = dst_tensor->mutable_data<T>();
+  const T* src_data = src_tensor->template data<T>();
+  T* dst_data = dst_tensor->template mutable_data<T>();
 
   int seq_cpy_gap = step_width;
   int pad_cpy_gap =
@@ -113,7 +113,7 @@ class PaddingLoDTensorFunctor<lite::TargetType::kX86, T> {
                    "'step_width'.");
 
     // fill padding value
-    T* pad_data = pad_tensor->mutable_data<T>();
+    T* pad_data = pad_tensor->template mutable_data<T>();
     const T* pad_value_data = pad_value.data<T>();
     if (pad_value.numel() == 1) {
       fast_mem_init<T>(
diff --git a/lite/backends/x86/math/sequence_padding.h b/lite/backends/x86/math/sequence_padding.h
index a3f4512042de4c7a2fc665f2fd41777d472225f5..43407014dea0ed0c78ab29da7fb8ebb0e0310566 100644
--- a/lite/backends/x86/math/sequence_padding.h
+++ b/lite/backends/x86/math/sequence_padding.h
@@ -30,10 +30,10 @@ enum PadLayout { kBatchLengthWidth = 0, kLengthBatchWidth };
 
 enum CopyType { kSeqToPad, kPadToSeq };
 
-inline static size_t MaximumSequenceLength(
-    const std::vector<size_t>& seq_offset) {
-  size_t seq_num = seq_offset.size() - 1;
-  size_t max_seq_len = 0;
+inline static uint64_t MaximumSequenceLength(
+    const std::vector<uint64_t>& seq_offset) {
+  uint64_t seq_num = seq_offset.size() - 1;
+  uint64_t max_seq_len = 0;
   for (size_t i = 0; i < seq_num; ++i) {
     max_seq_len = std::max(max_seq_len, seq_offset[i + 1] - seq_offset[i]);
   }
@@ -42,7 +42,7 @@ inline static size_t MaximumSequenceLength(
 
 inline static void CheckDims(const lite::DDim& seq_tensor_dims,
                              const lite::DDim& pad_tensor_dims,
-                             const std::vector<size_t>& seq_offset,
+                             const std::vector<uint64_t>& seq_offset,
                              int64_t padded_seq_len,
                              int64_t step_width,
                              const PadLayout& layout) {
diff --git a/lite/backends/x86/math/sequence_pooling.cc b/lite/backends/x86/math/sequence_pooling.cc
index 186b8b5543c7132867093616c83b45ae8ff27d3c..34c55c5714e467954bc1bb79d9b1385ef5cfe497 100644
--- a/lite/backends/x86/math/sequence_pooling.cc
+++ b/lite/backends/x86/math/sequence_pooling.cc
@@ -55,7 +55,7 @@ class MaxSeqPoolFunctor {
 
     auto starts = input.lod()[0];
     const T* in_data = input.data<T>();
-    T* out_data = output->mutable_data<T>();
+    T* out_data = output->template mutable_data<T>();
     int* max_index = index->mutable_data<int>();
 
     int64_t num_seq = out_dims[0];
@@ -103,7 +103,7 @@ class MaxSeqPoolFunctor<T, true> {
 
     auto starts = input.lod()[0];
     const T* in_data = input.data<T>();
-    T* out_data = output->mutable_data<T>();
+    T* out_data = output->template mutable_data<T>();
 
     int64_t num_seq = out_dims[0];
     int64_t dim = output->numel() / num_seq;
@@ -145,7 +145,7 @@ class MaxSeqPoolGradFunctor {
 
     const T* og_data = out_grad.data<T>();
     const int* max_index = index.data<int>();
-    T* ig_data = in_grad->mutable_data<T>();
+    T* ig_data = in_grad->template mutable_data<T>();
 
     SetConstant<TARGET(kX86), T> set_zero;
     set_zero(context, in_grad, static_cast<T>(0.0));
@@ -170,7 +170,7 @@ class LastSeqPoolFunctor {
                   lite::Tensor* output) {
     // Create pointers to input and output data
     auto* in_data = input.data<T>();
-    auto* out_data = output->mutable_data<T>();
+    auto* out_data = output->template mutable_data<T>();
 
     // Calculate the size of each item in sequence
     int64_t item_size = input.numel() / input.dims()[0];
@@ -203,7 +203,7 @@ class FirstSeqPoolFunctor {
                   lite::Tensor* output) {
     // Create pointers to input and output data
     auto* in_data = input.data<T>();
-    auto* out_data = output->mutable_data<T>();
+    auto* out_data = output->template mutable_data<T>();
 
     // Calculate the size of each item in sequence
     int64_t item_size = input.numel() / input.dims()[0];
@@ -238,7 +238,7 @@ class SumSeqPoolGradFunctor {
     int64_t in_w = in_grad->numel() / in_grad->dims()[0];
     PADDLE_ENFORCE(in_w == out_w);
     const T* out_g_data = out_grad.data<T>();
-    T* in_g_data = in_grad->mutable_data<T>(TARGET(kX86));
+    T* in_g_data = in_grad->template mutable_data<T>(TARGET(kX86));
     auto blas = math::GetBlas<TARGET(kX86), T>(context);
     for (int i = 0; i < static_cast<int>(lod.size()) - 1; ++i) {
       int64_t h = static_cast<int64_t>(lod[i + 1] - lod[i]);
@@ -288,7 +288,7 @@ class SequencePoolFunctor<TARGET(kX86), T> {
     auto lod = input.lod()[0];
     if (pooltype == "SUM") {
       const T* src = input.data<T>();
-      T* dst = output->mutable_data<T>(TARGET(kX86));
+      T* dst = output->template mutable_data<T>(TARGET(kX86));
       jit::seq_pool_attr_t attr(
           static_cast<int>(input.numel() / input.dims()[0]),
           jit::SeqPoolType::kSum);
diff --git a/lite/backends/x86/math/sequence_pooling_test.cc b/lite/backends/x86/math/sequence_pooling_test.cc
index a73014767345842f09ac2ff0cd5c2e7231c1f90a..b91f43a571994bef95650361a6dc62c0465837a7 100644
--- a/lite/backends/x86/math/sequence_pooling_test.cc
+++ b/lite/backends/x86/math/sequence_pooling_test.cc
@@ -101,13 +101,13 @@ void TestSequencePoolingSum(const paddle::framework::LoD& lod) {
 
 TEST(SequencePoolingGrad, CPU_SUM) {
   paddle::framework::LoD lod1;
-  lod1.push_back(std::vector<size_t>{0, 10});
+  lod1.push_back(std::vector<uint64_t>{0, 10});
   TestSequencePoolingSum<paddle::platform::CPUDeviceContext,
                          paddle::platform::CPUPlace,
                          float>(lod1);
 
   paddle::framework::LoD lod2;
-  lod2.push_back(std::vector<size_t>{0, 2, 7, 10});
+  lod2.push_back(std::vector<uint64_t>{0, 2, 7, 10});
   TestSequencePoolingSum<paddle::platform::CPUDeviceContext,
                          paddle::platform::CPUPlace,
                          float>(lod2);
@@ -116,13 +116,13 @@ TEST(SequencePoolingGrad, CPU_SUM) {
 #ifdef PADDLE_WITH_CUDA
 TEST(SequencePoolingGrad, CUDA_SUM) {
   paddle::framework::LoD lod1;
-  lod1.push_back(std::vector<size_t>{0, 10});
+  lod1.push_back(std::vector<uint64_t>{0, 10});
   TestSequencePoolingSum<paddle::platform::CUDADeviceContext,
                          paddle::platform::CUDAPlace,
                          float>(lod1);
 
   paddle::framework::LoD lod2;
-  lod2.push_back(std::vector<size_t>{0, 2, 7, 10});
+  lod2.push_back(std::vector<uint64_t>{0, 2, 7, 10});
   TestSequencePoolingSum<paddle::platform::CUDADeviceContext,
                          paddle::platform::CUDAPlace,
                          float>(lod2);
diff --git a/lite/backends/x86/math/sequence_scale.cc b/lite/backends/x86/math/sequence_scale.cc
index fad0628de15379b58847827cc3d48bf6085cbda2..25c7be0d0e2747f4f28c1d82f8855872d57726d1 100644
--- a/lite/backends/x86/math/sequence_scale.cc
+++ b/lite/backends/x86/math/sequence_scale.cc
@@ -32,7 +32,7 @@ class ScaleLoDTensorFunctor<lite::TargetType::kX86, T> {
     size_t seq_width = seq->dims()[1];
     lite::LoD abs_offset_lod = lite::fluid::ToAbsOffset(lod);
 
-    T* seq_data = seq->mutable_data<T>(lite::TargetType::kX86);
+    T* seq_data = seq->template mutable_data<T>(lite::TargetType::kX86);
     for (size_t i = 0; i < num_seq; ++i) {
       for (size_t j = lod[level][i] * seq_width;
            j < lod[level][i + 1] * seq_width;
diff --git a/lite/backends/x86/math/sequence_topk_avg_pooling.cc b/lite/backends/x86/math/sequence_topk_avg_pooling.cc
index 035a7923c70f91cf27f1d845f68110f8f33cb73d..97e27fed59f4bc1a4c457ea9cf515da6caca9a1c 100644
--- a/lite/backends/x86/math/sequence_topk_avg_pooling.cc
+++ b/lite/backends/x86/math/sequence_topk_avg_pooling.cc
@@ -83,7 +83,7 @@ class SequenceTopkAvgPoolingFunctor<lite::TargetType::kX86, T> {
     auto pos_data = pos->mutable_data<int>(lite::TargetType::kX86);
 
     int offset = 0;
-    std::vector<size_t> vec_out_lod;
+    std::vector<uint64_t> vec_out_lod;
     vec_out_lod.reserve(batch_size + 1);
     for (int i = 0; i <= batch_size; ++i) {
       offset = row_lod[i];
@@ -95,7 +95,7 @@ class SequenceTopkAvgPoolingFunctor<lite::TargetType::kX86, T> {
     out->set_lod(lod_temp);
 
     auto in_data = in.data<T>();
-    auto out_data = out->mutable_data<T>(lite::TargetType::kX86);
+    auto out_data = out->template mutable_data<T>(lite::TargetType::kX86);
 
     T* sum_data = new T[max_k];
     for (int i = 0; i < batch_size; ++i) {
diff --git a/lite/backends/x86/math/softmax_impl.h b/lite/backends/x86/math/softmax_impl.h
index ec45377bc55154a4a36ebc5c3684ab7efeeef88e..1ba84dda42093155b10fa74a49e953d6663b8c88 100644
--- a/lite/backends/x86/math/softmax_impl.h
+++ b/lite/backends/x86/math/softmax_impl.h
@@ -108,8 +108,8 @@ class SoftmaxFunctor<Target, T, is_test, enable_if_CPU<Target>> {
     const int num_remain = num_classes / axis_dim;
 
     if (num_remain == 1 && lite::x86::MayIUse(lite::x86::avx)) {
-      const T* in_data = X->data<T>();
-      auto* out_data = Y->mutable_data<T>();
+      const T* in_data = X->template data<T>();
+      auto* out_data = Y->template mutable_data<T>();
       for (int bs = 0; bs < batch_size; ++bs) {
         T max_val = *std::max_element(in_data, in_data + num_classes);
         max_val *= static_cast<T>(-1);
@@ -219,9 +219,9 @@ class SoftmaxGradFunctor<Target, T, enable_if_CPU<Target>> {
     const int num_remain = num_classes / axis_dim;
 
     if (num_remain == 1 && lite::x86::MayIUse(lite::x86::avx)) {
-      const T* out_data = y->data<T>();
-      const T* out_grad = y_grad->data<T>();
-      T* in_grad = x_grad->mutable_data<T>();
+      const T* out_data = y->template data<T>();
+      const T* out_grad = y_grad->template data<T>();
+      T* in_grad = x_grad->template mutable_data<T>();
       for (int bs = 0; bs < batch_size; ++bs) {
         T scalar;
         vec_mul_reduce<T, lite::x86::avx>(
diff --git a/lite/backends/x86/math/tree2col.cc b/lite/backends/x86/math/tree2col.cc
index 20b913331308c8b8c95d190b6b0b3d76ccac354b..bfc7084c9ff018101ca3dfc1d1748083b1449662 100644
--- a/lite/backends/x86/math/tree2col.cc
+++ b/lite/backends/x86/math/tree2col.cc
@@ -104,12 +104,12 @@ class Tree2ColFunctor<lite::TargetType::kX86, T> {
     patch_size = processing_list.size();
 
     // T *patch_data =
-    //    patch->mutable_data<T>({static_cast<int64_t>(patch_size),
+    //    patch->template mutable_data<T>({static_cast<int64_t>(patch_size),
     //                            static_cast<int64_t>(patch_elem_size)},
     //                           cpu_place);
     patch->Resize({static_cast<int64_t>(patch_size),
                    static_cast<int64_t>(patch_elem_size)});
-    auto *patch_data = patch->mutable_data<T>(lite::TargetType::kX86);
+    auto *patch_data = patch->template mutable_data<T>(lite::TargetType::kX86);
     constant(context, patch, 0);
     const T *features = node_features.data<T>();
 
@@ -166,12 +166,12 @@ class Col2TreeFunctor<lite::TargetType::kX86, T> {
       }
     }
     // T *grad_data =
-    //    in_grad->mutable_data<T>({static_cast<int64_t>(node_count),
+    //    in_grad->template mutable_data<T>({static_cast<int64_t>(node_count),
     //                              static_cast<int64_t>(grad_elem_size)},
     //                             cpu_place);
     in_grad->Resize({static_cast<int64_t>(node_count),
                      static_cast<int64_t>(grad_elem_size)});
-    auto *grad_data = in_grad->mutable_data<T>(lite::TargetType::kX86);
+    auto *grad_data = in_grad->template mutable_data<T>(lite::TargetType::kX86);
 
     constant(context, in_grad, 0);
     const T *out_g = out_grad.data<T>();
diff --git a/lite/backends/x86/math/unpooling.cc b/lite/backends/x86/math/unpooling.cc
index 568f9952cab755c8441695e1a9266a2001d2b9a9..119d7294e9ec21e67f09776ad20d04f15b8b81ce 100644
--- a/lite/backends/x86/math/unpooling.cc
+++ b/lite/backends/x86/math/unpooling.cc
@@ -36,7 +36,7 @@ class Unpool2dMaxFunctor<lite::TargetType::kX86, T> {
     int output_feasize = output_height * output_width;
     const T* input_data = input.data<T>();
     const int* indices_data = indices.data<int>();
-    T* output_data = output->mutable_data<T>(lite::TargetType::kX86);
+    T* output_data = output->template mutable_data<T>(lite::TargetType::kX86);
     for (int b = 0; b < batch_size; ++b) {
       for (int c = 0; c < output_channels; ++c) {
         for (int i = 0; i < input_feasize; ++i) {
@@ -70,7 +70,8 @@ class Unpool2dMaxGradFunctor<lite::TargetType::kX86, T> {
     int output_feasize = output_height * output_width;
     const int* indices_data = indices.data<int>();
     const T* output_grad_data = output_grad.data<T>();
-    T* input_grad_data = input_grad->mutable_data<T>(lite::TargetType::kX86);
+    T* input_grad_data =
+        input_grad->template mutable_data<T>(lite::TargetType::kX86);
 
     for (int b = 0; b < batch_size; ++b) {
       for (int c = 0; c < output_channels; ++c) {
diff --git a/lite/backends/x86/math/vol2col.cc b/lite/backends/x86/math/vol2col.cc
index 8fd5e8954e2010d5226d56ac4a87a44e6364c8c6..91979bb7fdcfe66d84ded3f9797144ddafc8769e 100644
--- a/lite/backends/x86/math/vol2col.cc
+++ b/lite/backends/x86/math/vol2col.cc
@@ -75,7 +75,7 @@ class Vol2ColFunctor<lite::TargetType::kX86, T> {
                       "mismatching.");
 
     const T* vol_data = vol.data<T>();
-    T* col_data = col->mutable_data<T>();
+    T* col_data = col->template mutable_data<T>();
 
     for (int c = 0; c < channels_col; ++c) {
       int w_offset = c % filter_width;
@@ -159,7 +159,7 @@ class Col2VolFunctor<lite::TargetType::kX86, T> {
                       output_width,
                       "input_width and output_width are "
                       "mismatching.");
-    T* vol_data = vol->mutable_data<T>();
+    T* vol_data = vol->template mutable_data<T>();
     const T* col_data = col.data<T>();
 
     for (int c = 0; c < channels_col; ++c) {
diff --git a/lite/fluid/lod.h b/lite/fluid/lod.h
index 36386f7eb967f31ec258681fe17222a928aa7b4b..b1f2f14a0a4534e588d18237826858812740db69 100644
--- a/lite/fluid/lod.h
+++ b/lite/fluid/lod.h
@@ -19,7 +19,7 @@
 namespace paddle {
 namespace lite {
 namespace fluid {
-using LoD = std::vector<std::vector<size_t>>;
+using LoD = std::vector<std::vector<uint64_t>>;
 
 static LoD ToAbsOffset(const LoD &in) {
   // the lowest level stores relative offsets
diff --git a/lite/kernels/x86/activation_compute.h b/lite/kernels/x86/activation_compute.h
index 5d8110e67c17f3a0f8d3211179df831dad83cc9b..d41de08d7ceccceb0c0ea77c306459118b0eb309 100644
--- a/lite/kernels/x86/activation_compute.h
+++ b/lite/kernels/x86/activation_compute.h
@@ -231,8 +231,8 @@ class SoftsignCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     // auto& context = ctx_->As<X86Context>();
     auto& param = *param_.get_mutable<operators::ActivationParam>();
 
-    const T* x_data = param.X->data<T>();
-    T* out_data = param.Out->mutable_data<T>();
+    const T* x_data = param.X->template data<T>();
+    T* out_data = param.Out->template mutable_data<T>();
     size_t x_size = param.X->numel();
     for (size_t i = 0; i < x_size; i++) {
       out_data[i] = x_data[i] / (static_cast<T>(1) + std::abs(x_data[i]));
diff --git a/lite/kernels/x86/attention_padding_mask_compute.h b/lite/kernels/x86/attention_padding_mask_compute.h
index b9124e5ad49a0d68c41a21fe55d28102f09d14b9..f6d3d5aa31df1f188c196ac283c734c879f40244 100644
--- a/lite/kernels/x86/attention_padding_mask_compute.h
+++ b/lite/kernels/x86/attention_padding_mask_compute.h
@@ -45,9 +45,9 @@ class AttentionPaddingMaskCompute
     auto src_len = static_cast<int64_t>(bottom1->lod()[0][1]);
     const int att_batch = bottom0->lod()[0].size() - 1;
     const int src_batch = bottom1->lod()[0].size() - 1;
-    int* pad_begin = _pad_begin->mutable_data<int>();
+    int* pad_begin = _pad_begin->template mutable_data<int>();
     for (int i = 0; i < src_batch; ++i) {
-      const auto* src_data = bottom1->data<T>() + src_len * i;
+      const auto* src_data = bottom1->template data<T>() + src_len * i;
       int index = src_len - 1;
       for (; index >= 0 && _pad_id == static_cast<int>(src_data[index]);
            --index) {
@@ -56,13 +56,14 @@ class AttentionPaddingMaskCompute
     }
 
     const auto att_len = static_cast<int64_t>(bottom0->lod()[0][1]);
-    auto* top_data = top->mutable_data<T>();
+    auto* top_data = top->template mutable_data<T>();
     memcpy(top_data,
-           bottom0->data<T>(),
+           bottom0->template data<T>(),
            bottom0->dims()[0] * bottom0->dims()[1] * sizeof(T));
     for (int i = 0; i < att_batch; ++i) {
       for (int j = 0; j < att_len; ++j) {
-        top_data = top->mutable_data<T>() + src_len * (att_len * i + j);
+        top_data =
+            top->template mutable_data<T>() + src_len * (att_len * i + j);
         int src_idx = i % src_batch;
         for (int k = pad_begin[src_idx]; k < src_len; ++k) {
           top_data[k] = _mask;
diff --git a/lite/kernels/x86/batch_norm_compute.h b/lite/kernels/x86/batch_norm_compute.h
index 092280752cb92e1784eefc09cb26fa3bea8eb939..0f206b8c32aaaf9b3a1b278a69f3a9aa77a11ba6 100644
--- a/lite/kernels/x86/batch_norm_compute.h
+++ b/lite/kernels/x86/batch_norm_compute.h
@@ -59,26 +59,26 @@ class BatchNormCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     const int sample_size = x->dims().production() / N / C;
 
     // alloc memory
-    param.y->mutable_data<T>();
+    param.y->template mutable_data<T>();
     if (!param.is_test) {
-      param.mean_out->mutable_data<T>();
-      param.variance_out->mutable_data<T>();
-      param.saved_mean->mutable_data<T>();
-      param.saved_variance->mutable_data<T>();
+      param.mean_out->template mutable_data<T>();
+      param.variance_out->template mutable_data<T>();
+      param.saved_mean->template mutable_data<T>();
+      param.saved_variance->template mutable_data<T>();
     }
     if (!global_stats) {
       // saved_xx is use just in this batch of data
-      EigenVectorArrayMap<T> saved_mean_e(param.saved_mean->mutable_data<T>(),
-                                          C);
+      EigenVectorArrayMap<T> saved_mean_e(
+          param.saved_mean->template mutable_data<T>(), C);
       EigenVectorArrayMap<T> saved_variance_e(
-          param.saved_variance->mutable_data<T>(), C);
+          param.saved_variance->template mutable_data<T>(), C);
       saved_mean_e.setZero();
       saved_variance_e.setZero();
 
-      EigenVectorArrayMap<T> running_mean_arr(param.mean_out->mutable_data<T>(),
-                                              C);
+      EigenVectorArrayMap<T> running_mean_arr(
+          param.mean_out->template mutable_data<T>(), C);
       EigenVectorArrayMap<T> running_var_arr(
-          param.variance_out->mutable_data<T>(), C);
+          param.variance_out->template mutable_data<T>(), C);
 
       if ((N * sample_size) == 1) {
         LOG(WARNING) << "Only 1 element in normalization dimension, "
@@ -89,7 +89,8 @@ class BatchNormCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
 
       switch (param.data_layout) {
         case DATALAYOUT(kNCHW): {
-          ConstEigenArrayMap<T> x_arr(x->data<T>(), sample_size, N * C);
+          ConstEigenArrayMap<T> x_arr(
+              x->template data<T>(), sample_size, N * C);
           for (int nc = 0; nc < N * C; ++nc) {
             saved_mean_e(nc % C) += x_arr.col(nc).sum();
           }
@@ -115,33 +116,37 @@ class BatchNormCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     // use SavedMean and SavedVariance to do normalize
     Eigen::Array<T, Eigen::Dynamic, 1> inv_std(C);
     if (global_stats) {
-      ConstEigenVectorArrayMap<T> var_arr(param.variance->data<T>(), C);
+      ConstEigenVectorArrayMap<T> var_arr(param.variance->template data<T>(),
+                                          C);
       inv_std = (var_arr + param.epsilon).sqrt().inverse();
     } else {
       EigenVectorArrayMap<T> saved_inv_std(
-          param.saved_variance->mutable_data<T>(), C);
+          param.saved_variance->template mutable_data<T>(), C);
       // inverse SavedVariance first, gradient will use it too.
       saved_inv_std = (saved_inv_std + param.epsilon).inverse().sqrt();
       inv_std = saved_inv_std;
     }
 
     ConstEigenVectorArrayMap<T> mean_arr(
-        global_stats ? param.mean->data<T>() : param.saved_mean->data<T>(), C);
+        global_stats ? param.mean->template data<T>()
+                     : param.saved_mean->template data<T>(),
+        C);
 
     //   ((x - est_mean) * (inv_var) * scale + bias
     //   formula transform ====>
     //   (x * inv_var * scale) + (bias - est_mean * inv_var * scale)
 
-    ConstEigenVectorArrayMap<T> scale_arr(param.scale->data<T>(), C);
-    ConstEigenVectorArrayMap<T> bias_arr(param.bias->data<T>(), C);
+    ConstEigenVectorArrayMap<T> scale_arr(param.scale->template data<T>(), C);
+    ConstEigenVectorArrayMap<T> bias_arr(param.bias->template data<T>(), C);
     Eigen::Array<T, Eigen::Dynamic, 1> new_scale = inv_std * scale_arr;
     Eigen::Array<T, Eigen::Dynamic, 1> new_bias =
         bias_arr - mean_arr * inv_std * scale_arr;
 
     switch (param.data_layout) {
       case DATALAYOUT(kNCHW): {
-        EigenArrayMap<T> y_arr(param.y->mutable_data<T>(), sample_size, N * C);
-        ConstEigenArrayMap<T> x_arr(x->data<T>(), sample_size, N * C);
+        EigenArrayMap<T> y_arr(
+            param.y->template mutable_data<T>(), sample_size, N * C);
+        ConstEigenArrayMap<T> x_arr(x->template data<T>(), sample_size, N * C);
         for (int nc = 0; nc < N * C; ++nc) {
           y_arr.col(nc) = x_arr.col(nc) * new_scale(nc % C) + new_bias(nc % C);
         }
diff --git a/lite/kernels/x86/concat_compute.h b/lite/kernels/x86/concat_compute.h
index 935f0811d4e7a7cbe2ce5fafa61b6d16a25d4a81..e423cd04f16917f200f45ac93d9a6a09f3fb1c54 100644
--- a/lite/kernels/x86/concat_compute.h
+++ b/lite/kernels/x86/concat_compute.h
@@ -47,7 +47,7 @@ class ConcatCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     int64_t axis = static_cast<int64_t>(param.axis);
     auto* axis_tensor = param.axis_tensor;
     if (axis_tensor != nullptr) {
-      auto* axis_tensor_data = axis_tensor->data<int>();
+      auto* axis_tensor_data = axis_tensor->template data<int>();
       axis = static_cast<int64_t>(axis_tensor_data[0]);
     }
 
@@ -60,7 +60,7 @@ class ConcatCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     int concat_input_size = count(axis + 1, x_dims.size(), x_dims);
     const int top_concat_axis = out->dims()[axis];
     for (size_t i = 0; i < param.x.size(); ++i) {
-      const T* bottom_data = param.x[i]->data<T>();
+      const T* bottom_data = param.x[i]->template data<T>();
       const int64_t bottom_concat_axis = param.x[i]->dims()[axis];
       for (int n = 0; n < num_concat; ++n) {
         std::memcpy(
diff --git a/lite/kernels/x86/conv_compute.h b/lite/kernels/x86/conv_compute.h
index e9f403059f90cf6635bc22db3e6890b86cbe85f6..29442158c756418327dd3de31fd4dfdbec2cbc1d 100644
--- a/lite/kernels/x86/conv_compute.h
+++ b/lite/kernels/x86/conv_compute.h
@@ -52,7 +52,7 @@ class Conv2dCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto& context = ctx_->As<X86Context>();
     auto& param = *param_.get_mutable<operators::ConvParam>();
     lite::Tensor filter = *param.filter;
-    param.output->mutable_data<T>();
+    param.output->template mutable_data<T>();
     const int batch_size = static_cast<int>(param.x->dims()[0]);
 
     std::vector<int64_t> filter_shape_vec(filter.dims().Vectorize());
@@ -95,9 +95,9 @@ class Conv2dCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto blas =
         paddle::lite::x86::math::GetBlas<lite::TargetType::kX86, T>(context);
     for (int i = 0; i < batch_size; i++) {
-      lite::Tensor in_batch = param.x->Slice<T>(i, i + 1);
+      lite::Tensor in_batch = param.x->template Slice<T>(i, i + 1);
       in_batch.Resize(input_shape);
-      lite::Tensor out_batch = param.output->Slice<T>(i, i + 1);
+      lite::Tensor out_batch = param.output->template Slice<T>(i, i + 1);
       out_batch.Resize(output_matrix_shape);
       for (int g = 0; g < param.groups; g++) {
         lite::Tensor in_slice =
diff --git a/lite/kernels/x86/dropout_compute.h b/lite/kernels/x86/dropout_compute.h
index 2ba383bdbdc99e7643f3bf09350f833665c8548e..4b5f3359501b8b4c801c395dfa7d5990d9d4d7a3 100644
--- a/lite/kernels/x86/dropout_compute.h
+++ b/lite/kernels/x86/dropout_compute.h
@@ -38,10 +38,10 @@ class DropoutCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
   using param_t = operators::DropoutParam;
   void Run() override {
     auto& param = *param_.get_mutable<operators::DropoutParam>();
-    const auto* x_data = param.x->data<T>();
-    auto* out_data = param.output->mutable_data<T>();
+    const auto* x_data = param.x->template data<T>();
+    auto* out_data = param.output->template mutable_data<T>();
     if (!param.is_test) {
-      auto* mask_data = param.mask->mutable_data<T>();
+      auto* mask_data = param.mask->template mutable_data<T>();
       std::random_device rnd;
       std::minstd_rand engine;
       int seed = param.fix_seed ? param.seed : rnd();
diff --git a/lite/kernels/x86/elementwise_op_function.h b/lite/kernels/x86/elementwise_op_function.h
index 40116479f6f4d6dc8658c2d781a48b7a07dd20c9..42ea38d979e39f97a8aef971370c83303c53c48f 100644
--- a/lite/kernels/x86/elementwise_op_function.h
+++ b/lite/kernels/x86/elementwise_op_function.h
@@ -248,8 +248,8 @@ class TransformFunctor {
                    lite::Tensor *z,
                    const lite::Context<Target> &ctx,
                    Functor func)
-      : x_(x->data<T>()),
-        y_(y->data<T>()),
+      : x_(x->template data<T>()),
+        y_(y->template data<T>()),
         z_(z->mutable_data<OutType>()),
         nx_(x->numel()),
         ctx_(ctx),
@@ -483,9 +483,10 @@ void FusedElemwiseAndActComputeNoBroadcast(const lite::Context<Target> &ctx,
           x.data<T>(),
           y.data<T>(),
           compound_functor,
-          out->mutable_data<T>(),
-          intermediate_out == nullptr ? nullptr
-                                      : intermediate_out->mutable_data<T>()});
+          out->template mutable_data<T>(),
+          intermediate_out == nullptr
+              ? nullptr
+              : intermediate_out->template mutable_data<T>()});
 }
 
 template <lite::TargetType Target,
@@ -523,9 +524,10 @@ void FusedElemwiseAndActComputeWithBroadcast(const lite::Context<Target> &ctx,
         compound_functor,
         h,
         w,
-        out->mutable_data<T>(),
-        intermediate_out == nullptr ? nullptr
-                                    : intermediate_out->mutable_data<T>());
+        out->template mutable_data<T>(),
+        intermediate_out == nullptr
+            ? nullptr
+            : intermediate_out->template mutable_data<T>());
 
   } else {
     FusedElemwiseAndActBroadcast2CPU<T,
@@ -539,9 +541,10 @@ void FusedElemwiseAndActComputeWithBroadcast(const lite::Context<Target> &ctx,
         n,
         post,
         compound_functor,
-        out->mutable_data<T>(),
-        intermediate_out == nullptr ? nullptr
-                                    : intermediate_out->mutable_data<T>());
+        out->template mutable_data<T>(),
+        intermediate_out == nullptr
+            ? nullptr
+            : intermediate_out->template mutable_data<T>());
   }
 }
 
diff --git a/lite/kernels/x86/fc_compute.h b/lite/kernels/x86/fc_compute.h
index e719b8d2216949746f612bca0689c22be0606031..9f25a2584fe8d2579939e144d6799ba79927ae63 100644
--- a/lite/kernels/x86/fc_compute.h
+++ b/lite/kernels/x86/fc_compute.h
@@ -140,9 +140,9 @@ class FcCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
 
     int M = output->dims().production() / w_dims1;
 
-    const T* input_data = input->data<T>();
-    const T* w_data = w->data<T>();
-    T* output_data = output->mutable_data<T>();
+    const T* input_data = input->template data<T>();
+    const T* w_data = w->template data<T>();
+    T* output_data = output->template mutable_data<T>();
 
     auto& context = ctx_->As<X86Context>();
     FCFunctor<lite::TargetType::kX86, T> fc;
@@ -153,7 +153,7 @@ class FcCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
        input_data,
        w_data,
        output_data,
-       bias ? bias->data<T>() : NULL,
+       bias ? bias->template data<T>() : NULL,
        with_relu,
        padding_weights);
   }
diff --git a/lite/kernels/x86/fill_constant_batch_size_like_compute.h b/lite/kernels/x86/fill_constant_batch_size_like_compute.h
index 8d49b0816d85f30351a4ded81e0f6ef650b6c445..1c54912c21d1479b990c5a56064d9789e8619400 100644
--- a/lite/kernels/x86/fill_constant_batch_size_like_compute.h
+++ b/lite/kernels/x86/fill_constant_batch_size_like_compute.h
@@ -42,9 +42,9 @@ class FillConstantBatchSizeLikeCompute
       int output_dim_idx = param.output_dim_idx;
       odims[output_dim_idx] = static_cast<int>(in->lod().back().size()) - 1;
       out->Resize(odims);
-      // out->mutable_data<T>();
+      // out->template mutable_data<T>();
     }
-    out->mutable_data<T>();
+    out->template mutable_data<T>();
     auto value = param.value;
 
     paddle::lite::x86::math::SetConstant<lite::TargetType::kX86, T> setter;
diff --git a/lite/kernels/x86/gather_compute.h b/lite/kernels/x86/gather_compute.h
index 6ee270647f8fb7d7ec540047cd4d546a7eb89ce8..bd01d9da3af1640770838c262dcd848b557d40c3 100644
--- a/lite/kernels/x86/gather_compute.h
+++ b/lite/kernels/x86/gather_compute.h
@@ -50,9 +50,9 @@ void CPUGather(const lite::Tensor* src,
 
   auto src_dims = src->dims();
 
-  const T* p_src = src->data<T>();
+  const T* p_src = src->template data<T>();
   const IndexT* p_index = index->data<IndexT>();
-  T* p_output = output->mutable_data<T>();
+  T* p_output = output->template mutable_data<T>();
 
   // slice size
   int slice_size = 1;
@@ -77,7 +77,7 @@ class GatherCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto index = param.Index;
     auto out = param.Out;
 
-    out->mutable_data<T>();
+    out->template mutable_data<T>();
     if (x->dims().production() == 0) return;
     /*
      * Since there's no type defined for lite::Tensor in Paddle-Lite, then
diff --git a/lite/kernels/x86/gru_compute.h b/lite/kernels/x86/gru_compute.h
index 89076b51dae1fed4b8f56b280f177caf1f142158..e701ba16a55e9695c6b70f07cc4e1443e6b75698 100644
--- a/lite/kernels/x86/gru_compute.h
+++ b/lite/kernels/x86/gru_compute.h
@@ -44,7 +44,7 @@ inline void ReorderInitState(const lite::Context<TARGET(kX86)>& context,
                              bool indexed_src) {
   lite::x86::math::CopyMatrixRowsFunctor<TARGET(kX86), T> row_shuffle;
   dst->Resize(src.dims());
-  dst->mutable_data<T>();
+  dst->template mutable_data<T>();
   row_shuffle(context, src, index_lod, dst, indexed_src);
 }
 
@@ -65,18 +65,19 @@ class GRUCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto* input = param.input;
     auto* h0 = param.h0;
     auto* weight = param.weight;
-    const T* weight_data = weight->data<T>();
+    const T* weight_data = weight->template data<T>();
     auto* bias = param.bias;
 
     auto* batch_gate = param.batch_gate;
     auto* batch_reset_hidden_prev = param.batch_reset_hidden_prev;
     auto* batch_hidden = param.batch_hidden;
-    T* batch_gate_ptr = batch_gate->mutable_data<T>();
-    T* batch_reset_hidden_prev_ptr = batch_reset_hidden_prev->mutable_data<T>();
-    T* batch_hidden_ptr = batch_hidden->mutable_data<T>();
+    T* batch_gate_ptr = batch_gate->template mutable_data<T>();
+    T* batch_reset_hidden_prev_ptr =
+        batch_reset_hidden_prev->template mutable_data<T>();
+    T* batch_hidden_ptr = batch_hidden->template mutable_data<T>();
 
     auto* hidden = param.hidden;
-    hidden->mutable_data<T>();
+    hidden->template mutable_data<T>();
 
     const auto& hidden_dims = hidden->dims();
 
@@ -99,7 +100,7 @@ class GRUCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
       // Since the batch computing for GRU reorders the input sequences
       // according to their length. The initialized cell state also needs
       // to reorder.
-      const std::vector<size_t>& order(batch_gate->lod()[2]);
+      const std::vector<uint64_t>& order(batch_gate->lod()[2]);
       ReorderInitState<T>(context, *h0, order, &ordered_h0, true);
       gru_value.prev_out_value = ordered_h0.mutable_data<T>();
     } else {
diff --git a/lite/kernels/x86/layer_norm_compute.h b/lite/kernels/x86/layer_norm_compute.h
index ca2ddf60c5e150ba7d2712ccb2e67e444cd07010..46d151bbc406e19b498b87420029da7f9c1c2f12 100644
--- a/lite/kernels/x86/layer_norm_compute.h
+++ b/lite/kernels/x86/layer_norm_compute.h
@@ -47,9 +47,9 @@ class LayerNormCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
 
     auto x_dims = x->dims();
 
-    y->mutable_data<T>();
-    Mean->mutable_data<T>();
-    Var->mutable_data<T>();
+    y->template mutable_data<T>();
+    Mean->template mutable_data<T>();
+    Var->template mutable_data<T>();
 
     auto matrix_dim = x_dims.Flatten2D(begin_norm_axis);
     int left = static_cast<int>(matrix_dim[0]);
@@ -73,10 +73,10 @@ class LayerNormCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
                    .At(right);
     ker(in.mutable_data<T>(),
         out.mutable_data<T>(),
-        Mean->mutable_data<T>(),
-        Var->mutable_data<T>(),
-        Scale->data<T>(),
-        Bias->data<T>(),
+        Mean->template mutable_data<T>(),
+        Var->template mutable_data<T>(),
+        Scale->template data<T>(),
+        Bias->template data<T>(),
         static_cast<int>(left),
         epsilon,
         right);
diff --git a/lite/kernels/x86/lookup_table_compute.h b/lite/kernels/x86/lookup_table_compute.h
index 1801144f6eeb25a40fa052440b63913bc41a65a3..73cffe4ce8130b18612e42b0243205e74e011005 100644
--- a/lite/kernels/x86/lookup_table_compute.h
+++ b/lite/kernels/x86/lookup_table_compute.h
@@ -33,15 +33,15 @@ class LookupTableCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto *ids_t = param.Ids;
     auto *output_t = param.Out;
     int64_t padding_idx = param.padding_idx;
-    const int64_t *ids = ids_t->data<int64_t>();
+    const int64_t *ids = ids_t->template data<int64_t>();
     int64_t ids_numel = ids_t->dims().production();
 
     auto *table_t = param.W;
     int64_t row_number = table_t->dims()[0];
     int64_t row_width = table_t->dims()[1];
 
-    const T *table = table_t->data<T>();
-    T *output = output_t->mutable_data<T>();
+    const T *table = table_t->template data<T>();
+    T *output = output_t->template mutable_data<T>();
     memset(output, 0, output_t->dims().production() * sizeof(T));
     for (int64_t i = 0; i < ids_numel; ++i) {
       if (padding_idx != -1 && ids[i] == padding_idx) {
diff --git a/lite/kernels/x86/match_matrix_tensor_compute.cc b/lite/kernels/x86/match_matrix_tensor_compute.cc
index feda180d22e59b2ca0e8f0f89f3c7a1ddb8acd4a..171308b1a8b0294241e77366390c4828172bc077 100644
--- a/lite/kernels/x86/match_matrix_tensor_compute.cc
+++ b/lite/kernels/x86/match_matrix_tensor_compute.cc
@@ -35,7 +35,7 @@ void MatchMatrixTensorCompute<T>::Run() {
   const auto& offset_l = x->lod()[0];
   const auto& offset_r = y->lod()[0];
 
-  std::vector<size_t> top_offset;
+  std::vector<uint64_t> top_offset;
   int top_size = 0;
   top_offset.push_back(top_size);
   for (size_t b = 0; b < x->lod()[0].size() - 1; b++) {
@@ -97,9 +97,9 @@ void MatchMatrixTensorCompute<T>::Run() {
   int batch_size = x->lod()[0].size() - 1;
   int lod_lv1_size = batch_size * dim_t;
   int lod_lv2_size = x->lod()[0].back() * dim_t;
-  std::vector<size_t> out_lod0(batch_size + 1, 0);
-  std::vector<size_t> out_lod1(lod_lv1_size + 1, 0);
-  std::vector<size_t> out_lod2(lod_lv2_size + 1, 0);
+  std::vector<uint64_t> out_lod0(batch_size + 1, 0);
+  std::vector<uint64_t> out_lod1(lod_lv1_size + 1, 0);
+  std::vector<uint64_t> out_lod2(lod_lv2_size + 1, 0);
   for (int i = 0; i < batch_size; i++) {
     out_lod0[i + 1] = out_lod0[i] + dim_t;
     int len_l = offset_l[i + 1] - offset_l[i];
diff --git a/lite/kernels/x86/matmul_compute.h b/lite/kernels/x86/matmul_compute.h
index 3d2b3c7482c266d0c8771c9be1dbac540a315528..e17f12b6b6471bfb587fc3866695b808e11122da 100644
--- a/lite/kernels/x86/matmul_compute.h
+++ b/lite/kernels/x86/matmul_compute.h
@@ -56,7 +56,7 @@ class MatMulCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto *x = param.X;
     auto *y = param.Y;
     auto *out = param.Out;
-    out->mutable_data<T>();
+    out->template mutable_data<T>();
 
     auto blas = lite::x86::math::GetBlas<lite::TargetType::kX86, T>(context);
     auto mat_dim_a = lite::x86::math::CreateMatrixDescriptor(
diff --git a/lite/kernels/x86/mul_compute.h b/lite/kernels/x86/mul_compute.h
index be58f24ba2ed37db6661ecaaceb0d9d70fdd75d4..5c3dbe9342c8642470e8997fc2fec6428c2aa832 100644
--- a/lite/kernels/x86/mul_compute.h
+++ b/lite/kernels/x86/mul_compute.h
@@ -64,7 +64,7 @@ class MulCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
       y_matrix = *y;
     }
 
-    z->mutable_data<T>();
+    z->template mutable_data<T>();
     auto z_dim = z->dims();
     if (z_dim.size() != 2) {
       z->Resize({x_matrix.dims()[0], y_matrix.dims()[1]});
diff --git a/lite/kernels/x86/reduce_compute.h b/lite/kernels/x86/reduce_compute.h
index f93157c837995792772c86d969312bfa28341ce4..1b7c99eeef9dd80525eb9ed249bdf6ed1e493443 100644
--- a/lite/kernels/x86/reduce_compute.h
+++ b/lite/kernels/x86/reduce_compute.h
@@ -49,7 +49,7 @@ class ReduceSumCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     bool reduce_all = param.reduce_all;
     auto* input = param.x;
     auto* output = param.output;
-    param.output->mutable_data<T>();
+    param.output->template mutable_data<T>();
 
     const auto& dims = param.dim;
     bool keep_dim = param.keep_dim;
diff --git a/lite/kernels/x86/scale_compute.h b/lite/kernels/x86/scale_compute.h
index c78f385b96dd2bdbf83204f2a80739657350ae7e..978a81fb22f382f9f036e503e3f674d38f1467a6 100644
--- a/lite/kernels/x86/scale_compute.h
+++ b/lite/kernels/x86/scale_compute.h
@@ -41,8 +41,8 @@ class ScaleCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
 
   void Run() override {
     auto& param = *param_.get_mutable<param_t>();
-    scale_compute(param.x->data<T>(),
-                  param.output->mutable_data<T>(),
+    scale_compute(param.x->template data<T>(),
+                  param.output->template mutable_data<T>(),
                   param.x->dims().production(),
                   param.scale,
                   param.bias,
diff --git a/lite/kernels/x86/search_grnn_compute.cc b/lite/kernels/x86/search_grnn_compute.cc
index 95839ba71b9f63fad9d659fd65c0028005d29799..f25c960f19b60056bd9702a31774a378378f24d6 100644
--- a/lite/kernels/x86/search_grnn_compute.cc
+++ b/lite/kernels/x86/search_grnn_compute.cc
@@ -84,7 +84,7 @@ void SearchGrnnCompute<T>::PrepareLayout(const Tensor* input_blob) {
   int max_width = width_data[idx_sorted_by_width_data[0]];
 
   // start of reorganizing the input
-  std::vector<size_t> new_offset;
+  std::vector<uint64_t> new_offset;
   new_offset.resize(max_width + 1);
 
   new_offset[0] = 0;
diff --git a/lite/kernels/x86/search_group_padding_compute.h b/lite/kernels/x86/search_group_padding_compute.h
index 17244d15d9124d9d61d1f4fdef4f12590958c0be..eee2a8ac8ef757d776580eac9dfc2c6e31694107 100644
--- a/lite/kernels/x86/search_group_padding_compute.h
+++ b/lite/kernels/x86/search_group_padding_compute.h
@@ -50,7 +50,7 @@ class SearchGroupPaddingCompute
       }
     }
 
-    std::vector<size_t> new_offset;
+    std::vector<uint64_t> new_offset;
     new_offset.resize(batch + 1);
     for (int i = 0; i < batch + 1; ++i) {
       new_offset[i] = i * max_seq;
@@ -67,7 +67,7 @@ class SearchGroupPaddingCompute
     top1_lod.push_back(offset);
     top1->set_lod(top1_lod);
     top1->Resize({dim0, 1});
-    memset(top1->mutable_data<T>(),
+    memset(top1->template mutable_data<T>(),
            0,
            top1->dims()[0] * top1->dims()[1] * sizeof(T));
     // for padding input id
@@ -76,9 +76,9 @@ class SearchGroupPaddingCompute
     top2->set_lod(top2_lod);
     top2->Resize({batch * max_seq, 1});
     // copy data
-    const auto* bottom_data = bottom0->data<T>();
-    auto* top_data = top0->mutable_data<T>();
-    auto* top_padding_input_data = top2->mutable_data<T>();
+    const auto* bottom_data = bottom0->template data<T>();
+    auto* top_data = top0->template mutable_data<T>();
+    auto* top_padding_input_data = top2->template mutable_data<T>();
     for (int i = 0; i < batch; i++) {
       const int copy_step = offset[i + 1] - offset[i];
       const int start = i * max_seq;
diff --git a/lite/kernels/x86/search_seq_fc_compute.h b/lite/kernels/x86/search_seq_fc_compute.h
index 80ef54b30b762848eceb16940c9f60ef8ba96927..0f19466e0862e36e744fe74d985ab6136dee0e8d 100644
--- a/lite/kernels/x86/search_seq_fc_compute.h
+++ b/lite/kernels/x86/search_seq_fc_compute.h
@@ -58,8 +58,10 @@ class SearchSeqFcCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
       int M = x_dims[0];
       int N = w_dims[0];
       for (int i = 0; i < M; i++) {
-        blas.AXPY(
-            N, static_cast<T>(1), b->data<T>(), out->mutable_data<T>() + i * N);
+        blas.AXPY(N,
+                  static_cast<T>(1),
+                  b->template data<T>(),
+                  out->template mutable_data<T>() + i * N);
       }
     }
   }
diff --git a/lite/kernels/x86/sequence_arithmetic_compute.h b/lite/kernels/x86/sequence_arithmetic_compute.h
index 88510b8b1c7a04ab01da9af331f9d1f72765b215..080d0bcd0b42f6f59266e56d0f729eb2a28d4179 100644
--- a/lite/kernels/x86/sequence_arithmetic_compute.h
+++ b/lite/kernels/x86/sequence_arithmetic_compute.h
@@ -39,9 +39,9 @@ class SequenceArithmeticCompute
     out->Resize(x->dims());
     out->set_lod(x->lod());
 
-    auto x_data = x->data<T>();
-    auto y_data = y->data<T>();
-    auto out_data = out->mutable_data<T>();
+    auto x_data = x->template data<T>();
+    auto y_data = y->template data<T>();
+    auto out_data = out->template mutable_data<T>();
     auto x_seq_offset = x->lod()[0];
     auto y_seq_offset = y->lod()[0];
     int seq_num = x_seq_offset.size() - 1;
diff --git a/lite/kernels/x86/sequence_concat_compute.h b/lite/kernels/x86/sequence_concat_compute.h
index 8dd7077f7dbbb3e61f21d63e8c935157b3d2d579..cbf8a41b7e2228d3b2fab3fe5049281850961c1e 100644
--- a/lite/kernels/x86/sequence_concat_compute.h
+++ b/lite/kernels/x86/sequence_concat_compute.h
@@ -25,7 +25,7 @@ namespace x86 {
 template <typename T>
 inline LoD ConcatLoD(const std::vector<lite::Tensor*>& xs,
                      std::vector<lite::Tensor>* xs_in_order) {
-  std::vector<size_t> result;
+  std::vector<uint64_t> result;
   result.resize(xs[0]->lod()[0].size());
 
   for (size_t i = 1; i < result.size(); ++i) {
@@ -75,7 +75,7 @@ class SequenceConcatCompute
     out_dims[0] = batch_size;
     param.Out->Resize(out_dims);
 
-    T* dout = param.Out->mutable_data<T>();
+    T* dout = param.Out->template mutable_data<T>();
 
     std::vector<lite::Tensor> x_in_order;
     param.Out->set_lod(ConcatLoD<T>(param.X, &x_in_order));
diff --git a/lite/kernels/x86/sequence_concat_compute_test.cc b/lite/kernels/x86/sequence_concat_compute_test.cc
index be1f86a5c848b5c03634ea2a1aed0d57f2283879..eb6678a655ed1eb5a7bcda1dc2a6b8afe4477d2d 100644
--- a/lite/kernels/x86/sequence_concat_compute_test.cc
+++ b/lite/kernels/x86/sequence_concat_compute_test.cc
@@ -26,7 +26,7 @@ namespace x86 {
 namespace {
 inline LoD ConcatLoD(const std::vector<lite::Tensor*>& xs,
                      std::vector<lite::Tensor>* xs_in_order) {
-  std::vector<size_t> result;
+  std::vector<uint64_t> result;
   result.resize(xs[0]->lod()[0].size());
 
   for (size_t i = 1; i < result.size(); ++i) {
diff --git a/lite/kernels/x86/sequence_expand_as_compute.h b/lite/kernels/x86/sequence_expand_as_compute.h
index 16759c1b9f1d136d5aaf58d4531882ab6a2618a2..badbfac14cbeb120d23ea1174a9fc3a218b2224f 100644
--- a/lite/kernels/x86/sequence_expand_as_compute.h
+++ b/lite/kernels/x86/sequence_expand_as_compute.h
@@ -29,9 +29,10 @@ using Tensor = lite::Tensor;
 
 template <typename T>
 struct SequenceExpandFunctor {
-  void operator()(const Tensor &x,
-                  const std::vector<size_t> &ref_lod, /*expand referenced lod*/
-                  Tensor *out) {
+  void operator()(
+      const Tensor &x,
+      const std::vector<uint64_t> &ref_lod, /*expand referenced lod*/
+      Tensor *out) {
     int64_t hight = x.dims()[0];
     int64_t width = x.data_size() / hight;
 
@@ -39,13 +40,13 @@ struct SequenceExpandFunctor {
     T *out_data = out->mutable_data<T, T>();
 
     for (int h_id = 0; h_id < hight; ++h_id) {
-      size_t span = ref_lod[h_id + 1] - ref_lod[h_id];
+      uint64_t span = ref_lod[h_id + 1] - ref_lod[h_id];
       if (span == 0) continue;
       const T *src = in_data + h_id * width;
-      for (int64_t w_id = 0; w_id < width; ++w_id) {
+      for (uint64_t w_id = 0; w_id < width; ++w_id) {
         T ele = src[w_id];
         size_t offset = ref_lod[h_id] * width;
-        for (size_t k = 0; k < span; ++k) {
+        for (uint64_t k = 0; k < span; ++k) {
           out_data[offset + k * width + w_id] = ele;
         }
       }
@@ -68,7 +69,7 @@ class SequenceExpandAsCompute
     CHECK_EQ(y_lod.size(), 1);
     CHECK_GT(y_lod[0].size(), 1);
 
-    out->mutable_data<T, T>();
+    out->template mutable_data<T, T>();
 
     SequenceExpandFunctor<T> seq_espand_functor;
     seq_espand_functor(*x, y_lod[0], out);
diff --git a/lite/kernels/x86/sequence_pool_compute.h b/lite/kernels/x86/sequence_pool_compute.h
index 329a76658d342078ed5d708125d9ff01e0ecef02..20e0307cef2347ce68237f70c990362bbaa210e7 100644
--- a/lite/kernels/x86/sequence_pool_compute.h
+++ b/lite/kernels/x86/sequence_pool_compute.h
@@ -40,7 +40,7 @@ class SequencePoolCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
 
     dims[0] = lod[0].size() - 1;
     out->Resize({dims});
-    out->mutable_data<T>();
+    out->template mutable_data<T>();
     lite::Tensor* index = nullptr;
 
     const bool is_test = true;
diff --git a/lite/kernels/x86/sequence_reshape_compute.h b/lite/kernels/x86/sequence_reshape_compute.h
index 99f84ebd06e1f5742bbaee9f98ec17aee44bd871..d166f8bc3d80d9f87efb0315462daee3296f393f 100644
--- a/lite/kernels/x86/sequence_reshape_compute.h
+++ b/lite/kernels/x86/sequence_reshape_compute.h
@@ -64,9 +64,9 @@ class SequenceReshapeCompute
 
     out->Resize(std::vector<int64_t>{static_cast<int64_t>(out->lod()[0].back()),
                                      out_width});
-    auto* dst_ptr = out->mutable_data<T>();
+    auto* dst_ptr = out->template mutable_data<T>();
     auto size = in->numel() * sizeof(T);
-    std::memcpy(dst_ptr, in->data<T>(), size);
+    std::memcpy(dst_ptr, in->template data<T>(), size);
   }
 
   virtual ~SequenceReshapeCompute() = default;
diff --git a/lite/kernels/x86/shape_compute.h b/lite/kernels/x86/shape_compute.h
index ee3678a7f1c6651226c479aeedcacce91085b295..e78684e629727fc7023e6ae4c3385f9c58d48a6b 100644
--- a/lite/kernels/x86/shape_compute.h
+++ b/lite/kernels/x86/shape_compute.h
@@ -29,7 +29,7 @@ class ShapeCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
   void Run() override {
     auto& param = *param_.get_mutable<operators::ShapeParam>();
     // auto& context = context_->As<X86Context>();
-    auto out_data = param.Out->mutable_data<int32_t>();
+    auto out_data = param.Out->template mutable_data<int32_t>();
     auto in_dims = param.X->dims();
     for (int i = 0; i < in_dims.size(); ++i) {
       out_data[i] = in_dims[i];
diff --git a/lite/kernels/x86/softmax_compute.h b/lite/kernels/x86/softmax_compute.h
index 5a18a8022773682c0853a3592a9925f3a6015e83..3abc15145bde35a2c442daa9feff7137bcb40fb4 100644
--- a/lite/kernels/x86/softmax_compute.h
+++ b/lite/kernels/x86/softmax_compute.h
@@ -58,7 +58,7 @@ class SoftmaxCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
 
     auto* x = param.x;
     auto* output = param.output;
-    output->mutable_data<T>();
+    output->template mutable_data<T>();
 
     const int rank = x->dims().size();
     const int axis = CanonicalAxis(param.axis, rank);
diff --git a/lite/kernels/x86/squeeze_compute.h b/lite/kernels/x86/squeeze_compute.h
index 67086f8c732d412064c6bb0bece7e8208f8a0799..3288421c14447a348efd63c8cc5ea4de9bd2b24e 100644
--- a/lite/kernels/x86/squeeze_compute.h
+++ b/lite/kernels/x86/squeeze_compute.h
@@ -35,8 +35,8 @@ class SqueezeCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto x = param.X;
     auto output = param.Out;
     auto x_dims = x->dims();
-    auto* x_data = x->data<T>();
-    auto* out_data = output->mutable_data<T>();
+    auto* x_data = x->template data<T>();
+    auto* out_data = output->template mutable_data<T>();
     memcpy(out_data, x_data, x_dims.production() * sizeof(T));
   }
 
@@ -54,9 +54,9 @@ class Squeeze2Compute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto output = param.Out;
     auto xshape = param.XShape;
     auto x_dims = x->dims();
-    auto* x_data = x->data<T>();
-    auto* out_data = output->mutable_data<T>();
-    auto* xshape_data = xshape->mutable_data<T>();
+    auto* x_data = x->template data<T>();
+    auto* out_data = output->template mutable_data<T>();
+    auto* xshape_data = xshape->template mutable_data<T>();
     memcpy(out_data, x_data, x_dims.production() * sizeof(T));
     memcpy(xshape_data, x_data, x_dims.production() * sizeof(T));
   }
diff --git a/lite/kernels/x86/stack_compute.h b/lite/kernels/x86/stack_compute.h
index 12a6c3490eff9d446de96366c8dd5fe6b2a4bd06..08b3515948750a5cb36627f0349c852e597619e6 100644
--- a/lite/kernels/x86/stack_compute.h
+++ b/lite/kernels/x86/stack_compute.h
@@ -40,9 +40,9 @@ class StackCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     if (axis < 0) axis += (x[0]->dims().size() + 1);
 
     int n = static_cast<int>(x.size());
-    auto y_data = y->mutable_data<T>();
+    auto y_data = y->template mutable_data<T>();
     std::vector<const T*> x_datas(n);
-    for (int i = 0; i < n; ++i) x_datas[i] = x[i]->data<T>();
+    for (int i = 0; i < n; ++i) x_datas[i] = x[i]->template data<T>();
 
     int pre = 1, post = 1;
     auto dim = x[0]->dims();
diff --git a/lite/kernels/x86/transpose_compute.h b/lite/kernels/x86/transpose_compute.h
index 603b96015e267aa24d20bf20f2c3090a2daab74c..5f6faed2017b6bdef60e7505bf1f0088d86b3ec1 100644
--- a/lite/kernels/x86/transpose_compute.h
+++ b/lite/kernels/x86/transpose_compute.h
@@ -73,7 +73,7 @@ class TransposeCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto& param = *param_.get_mutable<param_t>();
     auto* x = param.x;
     auto* out = param.output;
-    out->mutable_data<T>();
+    out->template mutable_data<T>();
     int ndims = param.axis.size();
     auto& context = ctx_->As<X86Context>();
     TransCompute<lite::TargetType::kX86, T>(
@@ -92,7 +92,7 @@ class Transpose2Compute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     auto& param = *param_.get_mutable<param_t>();
     auto* x = param.x;
     auto* out = param.output;
-    out->mutable_data<T>();
+    out->template mutable_data<T>();
     int ndims = param.axis.size();
     auto& context = ctx_->As<X86Context>();
     TransCompute<lite::TargetType::kX86, T>(
diff --git a/lite/kernels/x86/uniform_random_compute.cc b/lite/kernels/x86/uniform_random_compute.cc
index 64a701d4c67a9bf908f7fc87e9923f22dde811e3..45c1c08d46e5a23857547aac15b952a1123e741f 100644
--- a/lite/kernels/x86/uniform_random_compute.cc
+++ b/lite/kernels/x86/uniform_random_compute.cc
@@ -34,8 +34,8 @@ class UniformRandomCompute
 
     auto *param_out = &param.Out->raw_tensor();
 
-    T *data =
-        param_out->mutable_data<T>(context.x86_device_context()->GetPlace());
+    T *data = param_out->template mutable_data<T>(
+        context.x86_device_context()->GetPlace());
 
     unsigned int seed = static_cast<unsigned int>(param.seed);
     std::minstd_rand engine;
diff --git a/lite/kernels/x86/var_conv_2d_compute.h b/lite/kernels/x86/var_conv_2d_compute.h
index 7a9ba16d2ea87adb40df23e1fbe149ab805afbc8..1bed39f479c87636ff217c8fd7234ea2c5bd5904 100644
--- a/lite/kernels/x86/var_conv_2d_compute.h
+++ b/lite/kernels/x86/var_conv_2d_compute.h
@@ -80,7 +80,7 @@ class VarConv2DCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     std::vector<int64_t> col_dims_vec{top_size};
     col_dims_vec.push_back(1);
     col->Resize(col_dims_vec);
-    auto* top_data = col->mutable_data<T>();
+    auto* top_data = col->template mutable_data<T>();
     const auto* bottom_data = input.data<T>();
 
     int kernel_win_size = kernel_h * kernel_w;
@@ -149,7 +149,7 @@ class VarConv2DCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     // const auto& offset_y = in_row->lod()[0];
     const auto& offset_y = param.X->lod()[1];
     const auto& offset_x = param.X->lod()[2];
-    std::vector<size_t> top_offset;
+    std::vector<uint64_t> top_offset;
     int top_size = 0;
     top_offset.push_back(top_size);
     for (int b = 0; b < batch; ++b) {
@@ -178,9 +178,9 @@ class VarConv2DCompute : public KernelLite<TARGET(kX86), PRECISION(kFloat)> {
     std::vector<int64_t> top_dims_vec{top_size};
     top_dims_vec.push_back(1);
     top->Resize(top_dims_vec);
-    auto* top_data = top->mutable_data<T>();
-    const auto* w_data = w->data<T>();
-    const auto* col_data = col->data<T>();
+    auto* top_data = top->template mutable_data<T>();
+    const auto* w_data = w->template data<T>();
+    const auto* col_data = col->template data<T>();
 
     auto blas = lite::x86::math::GetBlas<lite::TargetType::kX86, T>(context);
     for (int b = 0; b < batch; ++b) {
diff --git a/lite/kernels/x86/var_conv_2d_compute_test.cc b/lite/kernels/x86/var_conv_2d_compute_test.cc
index d6ae5a67bfc9deba1fb097fa5c0c0cf323b65e48..edef8cb2df75dfb45ad4964975365d4ddbbe9086 100644
--- a/lite/kernels/x86/var_conv_2d_compute_test.cc
+++ b/lite/kernels/x86/var_conv_2d_compute_test.cc
@@ -140,7 +140,7 @@ static void var_conv_2d_ref(const lite::Tensor* bottom,
   const auto& col_offset = col->lod()[0];
   const auto& offset_x = in_col->lod()[0];
   const auto& offset_y = in_row->lod()[0];
-  std::vector<size_t> top_offset;
+  std::vector<uint64_t> top_offset;
   int top_size = 0;
   top_offset.push_back(top_size);
   for (int b = 0; b < batch; ++b) {