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bn_layer.cu
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bn_layer.cu
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#include <algorithm>
#include <vector>
#include "caffe/common_layers.hpp"
#include "caffe/filler.hpp"
#include "caffe/layer.hpp"
#include "caffe/util/math_functions.hpp"
namespace caffe {
template <typename Dtype>
void BNLayer<Dtype>::Forward_gpu(const vector<Blob<Dtype>*>& bottom,
const vector<Blob<Dtype>*>& top) {
const Dtype* const_bottom_data = bottom[0]->gpu_data();
const Dtype* const_top_data = top[0]->gpu_data();
Dtype* top_data = top[0]->mutable_gpu_data();
const Dtype* scale_data = this->blobs_[0]->gpu_data();
const Dtype* shift_data = this->blobs_[1]->gpu_data();
// put the squares of bottom into buffer_blob_
caffe_gpu_powx(bottom[0]->count(), const_bottom_data, Dtype(2),
buffer_blob_.mutable_gpu_data());
if (phase_ == Caffe::TEST && test_initialized_ == true) {
// do nothing;
} else {
// computes variance using var(X) = E(X^2) - (EX)^2
// EX across spatial
caffe_gpu_gemv<Dtype>(CblasNoTrans, N_ * C_, H_ * W_, Dtype(1. / (H_ * W_)), const_bottom_data,
spatial_sum_multiplier_.gpu_data(), Dtype(0), spatial_mean_.mutable_gpu_data());
// EX across batch
caffe_gpu_gemv<Dtype>(CblasTrans, N_, C_, Dtype(1. / N_), spatial_mean_.gpu_data(),
batch_sum_multiplier_.gpu_data(), Dtype(0), batch_mean_.mutable_gpu_data());
// E(X^2) across spatial
caffe_gpu_gemv<Dtype>(CblasNoTrans, N_ * C_, H_ * W_, Dtype(1. / (H_ * W_)), buffer_blob_.gpu_data(),
spatial_sum_multiplier_.gpu_data(), Dtype(0), spatial_variance_.mutable_gpu_data());
// E(X^2) across batch
caffe_gpu_gemv<Dtype>(CblasTrans, N_, C_, Dtype(1. / N_), spatial_variance_.gpu_data(),
batch_sum_multiplier_.gpu_data(), Dtype(0), batch_variance_.mutable_gpu_data());
caffe_gpu_powx(batch_mean_.count(), batch_mean_.gpu_data(), Dtype(2),
buffer_blob_.mutable_gpu_data()); // (EX)^2
caffe_gpu_sub(batch_mean_.count(), batch_variance_.gpu_data(), buffer_blob_.gpu_data(),
batch_variance_.mutable_gpu_data()); // variance
}
// do mean and variance normalization
// subtract mean
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), batch_mean_.gpu_data(), Dtype(0),
spatial_mean_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(-1),
spatial_mean_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(0),
buffer_blob_.mutable_gpu_data());
caffe_gpu_add(buffer_blob_.count(), const_bottom_data, buffer_blob_.gpu_data(), top_data);
// normalize variance
//caffe_gpu_add_scalar(batch_variance_.count(), var_eps_, batch_variance_.mutable_gpu_data());
//caffe_gpu_powx(batch_variance_.count(), batch_variance_.gpu_data(), Dtype(0.5),
// batch_variance_.mutable_gpu_data());
caffe_copy(batch_variance_.count(), batch_variance_.gpu_data(), batch_variance_sqrt_.mutable_gpu_data());
caffe_gpu_add_scalar(batch_variance_sqrt_.count(), var_eps_, batch_variance_sqrt_.mutable_gpu_data());
caffe_gpu_powx(batch_variance_sqrt_.count(), batch_variance_sqrt_.gpu_data(), Dtype(0.5),
batch_variance_sqrt_.mutable_gpu_data());
//caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
// batch_sum_multiplier_.gpu_data(), batch_variance_.gpu_data(), Dtype(0),
// spatial_variance_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), batch_variance_sqrt_.gpu_data(), Dtype(0),
spatial_variance_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(1),
spatial_variance_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(0),
buffer_blob_.mutable_gpu_data());
caffe_gpu_div(buffer_blob_.count(), const_top_data, buffer_blob_.gpu_data(), top_data);
// save x_norm
caffe_copy(buffer_blob_.count(), const_top_data, x_norm_.mutable_gpu_data());
// scale
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), scale_data, Dtype(0),
spatial_variance_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(1),
spatial_variance_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(0),
buffer_blob_.mutable_gpu_data());
caffe_gpu_mul(buffer_blob_.count(), const_top_data, buffer_blob_.gpu_data(), top_data);
// shift
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), shift_data, Dtype(0),
spatial_mean_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(1),
spatial_mean_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(0),
buffer_blob_.mutable_gpu_data());
caffe_gpu_add(buffer_blob_.count(), const_top_data, buffer_blob_.gpu_data(), top_data);
}
template <typename Dtype>
void BNLayer<Dtype>::Backward_gpu(const vector<Blob<Dtype>*>& top,
const vector<bool>& propagate_down,
const vector<Blob<Dtype>*>& bottom) {
const Dtype* const_bottom_diff = bottom[0]->gpu_diff();
Dtype* bottom_diff = bottom[0]->mutable_gpu_diff();
const Dtype* const_top_diff = top[0]->gpu_diff();
Dtype* scale_diff = this->blobs_[0]->mutable_gpu_diff();
Dtype* shift_diff = this->blobs_[1]->mutable_gpu_diff();
const Dtype* scale_data = this->blobs_[0]->gpu_data();
// gradient w.r.t. scale
caffe_gpu_mul(buffer_blob_.count(), x_norm_.gpu_data(), const_top_diff, buffer_blob_.mutable_gpu_data());
// EX across spatial
caffe_gpu_gemv<Dtype>(CblasNoTrans, N_ * C_, H_ * W_, Dtype(1), buffer_blob_.gpu_data(),
spatial_sum_multiplier_.gpu_data(), Dtype(0), spatial_variance_.mutable_gpu_data());
// EX across batch
caffe_gpu_gemv<Dtype>(CblasTrans, N_, C_, Dtype(1), spatial_variance_.gpu_data(),
batch_sum_multiplier_.gpu_data(), Dtype(0), scale_diff);
// gradient w.r.t. shift
// EX across spatial
caffe_gpu_gemv<Dtype>(CblasNoTrans, N_ * C_, H_ * W_, Dtype(1), const_top_diff,
spatial_sum_multiplier_.gpu_data(), Dtype(0), spatial_mean_.mutable_gpu_data());
// EX across batch
caffe_gpu_gemv<Dtype>(CblasTrans, N_, C_, Dtype(1), spatial_mean_.gpu_data(),
batch_sum_multiplier_.gpu_data(), Dtype(0), shift_diff);
// put scale * top_diff to buffer_blob_
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), scale_data, Dtype(0),
spatial_variance_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(1),
spatial_variance_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(0),
buffer_blob_.mutable_gpu_data());
caffe_gpu_mul(buffer_blob_.count(), const_top_diff, buffer_blob_.gpu_data(), buffer_blob_.mutable_gpu_data());
// use new top diff for computation
caffe_gpu_mul(buffer_blob_.count(), x_norm_.gpu_data(), buffer_blob_.gpu_data(), bottom_diff);
// EX across spatial
caffe_gpu_gemv<Dtype>(CblasNoTrans, N_ * C_, H_ * W_, Dtype(1), const_bottom_diff,
spatial_sum_multiplier_.gpu_data(), Dtype(0), spatial_mean_.mutable_gpu_data());
// EX across batch
caffe_gpu_gemv<Dtype>(CblasTrans, N_, C_, Dtype(1), spatial_mean_.gpu_data(),
batch_sum_multiplier_.gpu_data(), Dtype(0), batch_mean_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), batch_mean_.gpu_data(), Dtype(0),
spatial_mean_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(1),
spatial_mean_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(0),
bottom_diff);
caffe_gpu_mul(buffer_blob_.count(), x_norm_.gpu_data(), const_bottom_diff, bottom_diff);
// EX across spatial
caffe_gpu_gemv<Dtype>(CblasNoTrans, N_ * C_, H_ * W_, Dtype(1), buffer_blob_.gpu_data(),
spatial_sum_multiplier_.gpu_data(), Dtype(0), spatial_mean_.mutable_gpu_data());
// EX across batch
caffe_gpu_gemv<Dtype>(CblasTrans, N_, C_, Dtype(1), spatial_mean_.gpu_data(),
batch_sum_multiplier_.gpu_data(), Dtype(0), batch_mean_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), batch_mean_.gpu_data(), Dtype(0),
spatial_mean_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(1),
spatial_mean_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(1),
bottom_diff);
caffe_gpu_axpby(buffer_blob_.count(), Dtype(1), buffer_blob_.gpu_data(), Dtype(-1. / (N_ * H_ * W_)),
bottom_diff);
// variance normalization
//caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
// batch_sum_multiplier_.gpu_data(), batch_variance_.gpu_data(), Dtype(0),
// spatial_variance_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_, C_, 1, Dtype(1),
batch_sum_multiplier_.gpu_data(), batch_variance_sqrt_.gpu_data(), Dtype(0),
spatial_variance_.mutable_gpu_data());
caffe_gpu_gemm<Dtype>(CblasNoTrans, CblasNoTrans, N_ * C_, H_ * W_, 1, Dtype(1),
spatial_variance_.gpu_data(), spatial_sum_multiplier_.gpu_data(), Dtype(0),
buffer_blob_.mutable_gpu_data());
caffe_gpu_div(buffer_blob_.count(), const_bottom_diff, buffer_blob_.gpu_data(), bottom_diff);
}
//INSTANTIATE_CLASS(BNLayer);
INSTANTIATE_LAYER_GPU_FUNCS(BNLayer);
} // namespace caffe