diff --git a/torchvision/csrc/cpu/DeformConv_cpu.cpp b/torchvision/csrc/cpu/DeformConv_cpu.cpp
index a50eec3b76f..c1580f7228a 100644
--- a/torchvision/csrc/cpu/DeformConv_cpu.cpp
+++ b/torchvision/csrc/cpu/DeformConv_cpu.cpp
@@ -74,8 +74,6 @@
 #include <iostream>
 #include <tuple>
 
-using namespace at;
-
 const int kMaxParallelImgs = 32;
 
 template <typename scalar_t>
@@ -597,7 +595,7 @@ static void deformable_col2im_coord_kernel(
             out_w;
 
     const int offset_c = c - offset_grp * 2 * weight_h * weight_w;
-    const int is_y_direction = offset_c % 2 == 0;
+    const bool is_y_direction = offset_c % 2 == 0;
 
     const int c_bound = c_per_offset_grp * weight_h * weight_w;
     for (int col_c = (offset_c / 2); col_c < c_bound; col_c += col_step) {
@@ -812,9 +810,9 @@ static std::tuple<at::Tensor, at::Tensor> deform_conv2d_backward_input_cpu(
 
 static at::Tensor deform_conv2d_backward_parameters_cpu(
     at::Tensor input,
-    at::Tensor weight,
+    const at::Tensor& weight,
     at::Tensor offset,
-    at::Tensor grad_out,
+    const at::Tensor& grad_out,
     std::pair<int, int> stride,
     std::pair<int, int> pad,
     std::pair<int, int> dilation,
diff --git a/torchvision/csrc/cuda/DeformConv_cuda.cu b/torchvision/csrc/cuda/DeformConv_cuda.cu
index 7a45c6b5c45..89516ae8454 100644
--- a/torchvision/csrc/cuda/DeformConv_cuda.cu
+++ b/torchvision/csrc/cuda/DeformConv_cuda.cu
@@ -78,8 +78,6 @@
 #include <iostream>
 #include <tuple>
 
-using namespace at;
-
 const unsigned int CUDA_NUM_THREADS = 1024;
 const int kMaxParallelImgs = 32;
 
@@ -618,7 +616,7 @@ __global__ void deformable_col2im_coord_gpu_kernel(
         out_h * out_w;
 
     const int offset_c = c - offset_grp * 2 * weight_h * weight_w;
-    const int is_y_direction = offset_c % 2 == 0;
+    const bool is_y_direction = offset_c % 2 == 0;
 
     const int c_bound = c_per_offset_grp * weight_h * weight_w;
     for (int col_c = (offset_c / 2); col_c < c_bound; col_c += col_step) {
@@ -840,9 +838,9 @@ static std::tuple<at::Tensor, at::Tensor> deform_conv_backward_input_cuda(
 
 static at::Tensor deform_conv_backward_parameters_cuda(
     at::Tensor input,
-    at::Tensor weight,
+    const at::Tensor& weight,
     at::Tensor offset,
-    at::Tensor grad_out,
+    const at::Tensor& grad_out,
     std::pair<int, int> stride,
     std::pair<int, int> pad,
     std::pair<int, int> dilation,