| | |
| | | #include "convolutional_layer.h" |
| | | #include "utils.h" |
| | | #include "mini_blas.h" |
| | | #include <stdio.h> |
| | | |
| | | double convolution_activation(double x) |
| | | int convolutional_out_height(convolutional_layer layer) |
| | | { |
| | | return x*(x>0); |
| | | return (layer.h-layer.size)/layer.stride + 1; |
| | | } |
| | | |
| | | double convolution_gradient(double x) |
| | | int convolutional_out_width(convolutional_layer layer) |
| | | { |
| | | return (x>=0); |
| | | return (layer.w-layer.size)/layer.stride + 1; |
| | | } |
| | | |
| | | convolutional_layer make_convolutional_layer(int h, int w, int c, int n, int size, int stride) |
| | | image get_convolutional_image(convolutional_layer layer) |
| | | { |
| | | int h,w,c; |
| | | h = convolutional_out_height(layer); |
| | | w = convolutional_out_width(layer); |
| | | c = layer.n; |
| | | return float_to_image(h,w,c,layer.output); |
| | | } |
| | | |
| | | image get_convolutional_delta(convolutional_layer layer) |
| | | { |
| | | int h,w,c; |
| | | h = convolutional_out_height(layer); |
| | | w = convolutional_out_width(layer); |
| | | c = layer.n; |
| | | return float_to_image(h,w,c,layer.delta); |
| | | } |
| | | |
| | | convolutional_layer *make_convolutional_layer(int batch, int h, int w, int c, int n, int size, int stride, ACTIVATION activation) |
| | | { |
| | | int i; |
| | | convolutional_layer layer; |
| | | layer.n = n; |
| | | layer.stride = stride; |
| | | layer.kernels = calloc(n, sizeof(image)); |
| | | layer.kernel_updates = calloc(n, sizeof(image)); |
| | | size = 2*(size/2)+1; //HA! And you thought you'd use an even sized filter... |
| | | convolutional_layer *layer = calloc(1, sizeof(convolutional_layer)); |
| | | layer->h = h; |
| | | layer->w = w; |
| | | layer->c = c; |
| | | layer->n = n; |
| | | layer->batch = batch; |
| | | layer->stride = stride; |
| | | layer->size = size; |
| | | |
| | | layer->filters = calloc(c*n*size*size, sizeof(float)); |
| | | layer->filter_updates = calloc(c*n*size*size, sizeof(float)); |
| | | layer->filter_momentum = calloc(c*n*size*size, sizeof(float)); |
| | | |
| | | layer->biases = calloc(n, sizeof(float)); |
| | | layer->bias_updates = calloc(n, sizeof(float)); |
| | | layer->bias_momentum = calloc(n, sizeof(float)); |
| | | float scale = 1./(size*size*c); |
| | | for(i = 0; i < c*n*size*size; ++i) layer->filters[i] = scale*(rand_uniform()); |
| | | for(i = 0; i < n; ++i){ |
| | | layer.kernels[i] = make_random_kernel(size, c); |
| | | layer.kernel_updates[i] = make_random_kernel(size, c); |
| | | //layer->biases[i] = rand_normal()*scale + scale; |
| | | layer->biases[i] = 0; |
| | | } |
| | | layer.output = make_image((h-1)/stride+1, (w-1)/stride+1, n); |
| | | layer.upsampled = make_image(h,w,n); |
| | | int out_h = convolutional_out_height(*layer); |
| | | int out_w = convolutional_out_width(*layer); |
| | | |
| | | layer->col_image = calloc(layer->batch*out_h*out_w*size*size*c, sizeof(float)); |
| | | layer->output = calloc(layer->batch*out_h * out_w * n, sizeof(float)); |
| | | layer->delta = calloc(layer->batch*out_h * out_w * n, sizeof(float)); |
| | | layer->activation = activation; |
| | | |
| | | fprintf(stderr, "Convolutional Layer: %d x %d x %d image, %d filters -> %d x %d x %d image\n", h,w,c,n, out_h, out_w, n); |
| | | srand(0); |
| | | |
| | | return layer; |
| | | } |
| | | |
| | | void run_convolutional_layer(const image input, const convolutional_layer layer) |
| | | void resize_convolutional_layer(convolutional_layer *layer, int h, int w, int c) |
| | | { |
| | | layer->h = h; |
| | | layer->w = w; |
| | | layer->c = c; |
| | | int out_h = convolutional_out_height(*layer); |
| | | int out_w = convolutional_out_width(*layer); |
| | | |
| | | layer->col_image = realloc(layer->col_image, |
| | | layer->batch*out_h*out_w*layer->size*layer->size*layer->c*sizeof(float)); |
| | | layer->output = realloc(layer->output, |
| | | layer->batch*out_h * out_w * layer->n*sizeof(float)); |
| | | layer->delta = realloc(layer->delta, |
| | | layer->batch*out_h * out_w * layer->n*sizeof(float)); |
| | | } |
| | | |
| | | void forward_convolutional_layer(const convolutional_layer layer, float *in) |
| | | { |
| | | int i; |
| | | for(i = 0; i < layer.n; ++i){ |
| | | convolve(input, layer.kernels[i], layer.stride, i, layer.output); |
| | | int m = layer.n; |
| | | int k = layer.size*layer.size*layer.c; |
| | | int n = convolutional_out_height(layer)* |
| | | convolutional_out_width(layer)* |
| | | layer.batch; |
| | | |
| | | memset(layer.output, 0, m*n*sizeof(float)); |
| | | |
| | | float *a = layer.filters; |
| | | float *b = layer.col_image; |
| | | float *c = layer.output; |
| | | for(i = 0; i < layer.batch; ++i){ |
| | | im2col_cpu(in+i*(n/layer.batch), layer.c, layer.h, layer.w, layer.size, layer.stride, b+i*(n/layer.batch)); |
| | | } |
| | | for(i = 0; i < input.h*input.w*input.c; ++i){ |
| | | input.data[i] = convolution_activation(input.data[i]); |
| | | gemm(0,0,m,n,k,1,a,k,b,n,1,c,n); |
| | | |
| | | for(i = 0; i < m*n; ++i){ |
| | | layer.output[i] = activate(layer.output[i], layer.activation); |
| | | } |
| | | //for(i = 0; i < m*n; ++i) if(i%(m*n/10+1)==0) printf("%f, ", layer.output[i]); printf("\n"); |
| | | |
| | | } |
| | | |
| | | void gradient_delta_convolutional_layer(convolutional_layer layer) |
| | | { |
| | | int i; |
| | | int size = convolutional_out_height(layer)* |
| | | convolutional_out_width(layer)* |
| | | layer.n* |
| | | layer.batch; |
| | | for(i = 0; i < size; ++i){ |
| | | layer.delta[i] *= gradient(layer.output[i], layer.activation); |
| | | } |
| | | } |
| | | |
| | | void backpropagate_layer(image input, convolutional_layer layer) |
| | | void learn_bias_convolutional_layer(convolutional_layer layer) |
| | | { |
| | | int i; |
| | | zero_image(input); |
| | | for(i = 0; i < layer.n; ++i){ |
| | | back_convolve(input, layer.kernels[i], layer.stride, i, layer.output); |
| | | int i,j,b; |
| | | int size = convolutional_out_height(layer) |
| | | *convolutional_out_width(layer); |
| | | for(b = 0; b < layer.batch; ++b){ |
| | | for(i = 0; i < layer.n; ++i){ |
| | | float sum = 0; |
| | | for(j = 0; j < size; ++j){ |
| | | sum += layer.delta[j+size*(i+b*layer.n)]; |
| | | } |
| | | layer.bias_updates[i] += sum/size; |
| | | } |
| | | } |
| | | } |
| | | |
| | | void backpropagate_layer_convolve(image input, convolutional_layer layer) |
| | | void learn_convolutional_layer(convolutional_layer layer) |
| | | { |
| | | gradient_delta_convolutional_layer(layer); |
| | | learn_bias_convolutional_layer(layer); |
| | | int m = layer.n; |
| | | int n = layer.size*layer.size*layer.c; |
| | | int k = convolutional_out_height(layer)* |
| | | convolutional_out_width(layer)* |
| | | layer.batch; |
| | | |
| | | float *a = layer.delta; |
| | | float *b = layer.col_image; |
| | | float *c = layer.filter_updates; |
| | | |
| | | gemm(0,1,m,n,k,1,a,k,b,k,1,c,n); |
| | | } |
| | | |
| | | void backward_convolutional_layer(convolutional_layer layer, float *delta) |
| | | { |
| | | int i; |
| | | int m = layer.size*layer.size*layer.c; |
| | | int k = layer.n; |
| | | int n = convolutional_out_height(layer)* |
| | | convolutional_out_width(layer)* |
| | | layer.batch; |
| | | |
| | | float *a = layer.filters; |
| | | float *b = layer.delta; |
| | | float *c = layer.col_image; |
| | | |
| | | |
| | | memset(c, 0, m*n*sizeof(float)); |
| | | gemm(1,0,m,n,k,1,a,m,b,n,1,c,n); |
| | | |
| | | memset(delta, 0, layer.batch*layer.h*layer.w*layer.c*sizeof(float)); |
| | | for(i = 0; i < layer.batch; ++i){ |
| | | col2im_cpu(c+i*n/layer.batch, layer.c, layer.h, layer.w, layer.size, layer.stride, delta+i*n/layer.batch); |
| | | } |
| | | } |
| | | |
| | | void update_convolutional_layer(convolutional_layer layer, float step, float momentum, float decay) |
| | | { |
| | | int i; |
| | | int size = layer.size*layer.size*layer.c*layer.n; |
| | | for(i = 0; i < layer.n; ++i){ |
| | | layer.biases[i] += step*layer.bias_updates[i]; |
| | | layer.bias_updates[i] *= momentum; |
| | | } |
| | | for(i = 0; i < size; ++i){ |
| | | layer.filters[i] += step*(layer.filter_updates[i] - decay*layer.filters[i]); |
| | | layer.filter_updates[i] *= momentum; |
| | | } |
| | | } |
| | | /* |
| | | |
| | | void backward_convolutional_layer2(convolutional_layer layer, float *input, float *delta) |
| | | { |
| | | image in_delta = float_to_image(layer.h, layer.w, layer.c, delta); |
| | | image out_delta = get_convolutional_delta(layer); |
| | | int i,j; |
| | | for(i = 0; i < layer.n; ++i){ |
| | | rotate_image(layer.kernels[i]); |
| | | } |
| | | |
| | | zero_image(input); |
| | | upsample_image(layer.output, layer.stride, layer.upsampled); |
| | | for(j = 0; j < input.c; ++j){ |
| | | zero_image(in_delta); |
| | | upsample_image(out_delta, layer.stride, layer.upsampled); |
| | | for(j = 0; j < in_delta.c; ++j){ |
| | | for(i = 0; i < layer.n; ++i){ |
| | | two_d_convolve(layer.upsampled, i, layer.kernels[i], j, 1, input, j); |
| | | two_d_convolve(layer.upsampled, i, layer.kernels[i], j, 1, in_delta, j, layer.edge); |
| | | } |
| | | } |
| | | |
| | |
| | | } |
| | | } |
| | | |
| | | void error_convolutional_layer(image input, convolutional_layer layer) |
| | | |
| | | void learn_convolutional_layer(convolutional_layer layer, float *input) |
| | | { |
| | | int i; |
| | | image in_image = float_to_image(layer.h, layer.w, layer.c, input); |
| | | image out_delta = get_convolutional_delta(layer); |
| | | gradient_delta_convolutional_layer(layer); |
| | | for(i = 0; i < layer.n; ++i){ |
| | | kernel_update(input, layer.kernel_updates[i], layer.stride, i, layer.output); |
| | | kernel_update(in_image, layer.kernel_updates[i], layer.stride, i, out_delta, layer.edge); |
| | | layer.bias_updates[i] += avg_image_layer(out_delta, i); |
| | | } |
| | | image old_input = copy_image(input); |
| | | zero_image(input); |
| | | } |
| | | |
| | | void update_convolutional_layer(convolutional_layer layer, float step, float momentum, float decay) |
| | | { |
| | | int i,j; |
| | | for(i = 0; i < layer.n; ++i){ |
| | | back_convolve(input, layer.kernels[i], layer.stride, i, layer.output); |
| | | layer.bias_momentum[i] = step*(layer.bias_updates[i]) |
| | | + momentum*layer.bias_momentum[i]; |
| | | layer.biases[i] += layer.bias_momentum[i]; |
| | | layer.bias_updates[i] = 0; |
| | | int pixels = layer.kernels[i].h*layer.kernels[i].w*layer.kernels[i].c; |
| | | for(j = 0; j < pixels; ++j){ |
| | | layer.kernel_momentum[i].data[j] = step*(layer.kernel_updates[i].data[j] - decay*layer.kernels[i].data[j]) |
| | | + momentum*layer.kernel_momentum[i].data[j]; |
| | | layer.kernels[i].data[j] += layer.kernel_momentum[i].data[j]; |
| | | } |
| | | zero_image(layer.kernel_updates[i]); |
| | | } |
| | | for(i = 0; i < input.h*input.w*input.c; ++i){ |
| | | input.data[i] = input.data[i]*convolution_gradient(input.data[i]); |
| | | } |
| | | */ |
| | | |
| | | void test_convolutional_layer() |
| | | { |
| | | convolutional_layer l = *make_convolutional_layer(1,4,4,1,1,3,1,LINEAR); |
| | | float input[] = {1,2,3,4, |
| | | 5,6,7,8, |
| | | 9,10,11,12, |
| | | 13,14,15,16}; |
| | | float filter[] = {.5, 0, .3, |
| | | 0 , 1, 0, |
| | | .2 , 0, 1}; |
| | | float delta[] = {1, 2, |
| | | 3, 4}; |
| | | float in_delta[] = {.5,1,.3,.6, |
| | | 5,6,7,8, |
| | | 9,10,11,12, |
| | | 13,14,15,16}; |
| | | l.filters = filter; |
| | | forward_convolutional_layer(l, input); |
| | | l.delta = delta; |
| | | learn_convolutional_layer(l); |
| | | image filter_updates = float_to_image(3,3,1,l.filter_updates); |
| | | print_image(filter_updates); |
| | | printf("Delta:\n"); |
| | | backward_convolutional_layer(l, in_delta); |
| | | pm(4,4,in_delta); |
| | | } |
| | | |
| | | image get_convolutional_filter(convolutional_layer layer, int i) |
| | | { |
| | | int h = layer.size; |
| | | int w = layer.size; |
| | | int c = layer.c; |
| | | return float_to_image(h,w,c,layer.filters+i*h*w*c); |
| | | } |
| | | |
| | | image *weighted_sum_filters(convolutional_layer layer, image *prev_filters) |
| | | { |
| | | image *filters = calloc(layer.n, sizeof(image)); |
| | | int i,j,k,c; |
| | | if(!prev_filters){ |
| | | for(i = 0; i < layer.n; ++i){ |
| | | filters[i] = copy_image(get_convolutional_filter(layer, i)); |
| | | } |
| | | } |
| | | free_image(old_input); |
| | | else{ |
| | | image base = prev_filters[0]; |
| | | for(i = 0; i < layer.n; ++i){ |
| | | image filter = get_convolutional_filter(layer, i); |
| | | filters[i] = make_image(base.h, base.w, base.c); |
| | | for(j = 0; j < layer.size; ++j){ |
| | | for(k = 0; k < layer.size; ++k){ |
| | | for(c = 0; c < layer.c; ++c){ |
| | | float weight = get_pixel(filter, j, k, c); |
| | | image prev_filter = copy_image(prev_filters[c]); |
| | | scale_image(prev_filter, weight); |
| | | add_into_image(prev_filter, filters[i], 0,0); |
| | | free_image(prev_filter); |
| | | } |
| | | } |
| | | } |
| | | } |
| | | } |
| | | return filters; |
| | | } |
| | | |
| | | image *visualize_convolutional_layer(convolutional_layer layer, char *window, image *prev_filters) |
| | | { |
| | | image *single_filters = weighted_sum_filters(layer, 0); |
| | | show_images(single_filters, layer.n, window); |
| | | |
| | | image delta = get_convolutional_delta(layer); |
| | | image dc = collapse_image_layers(delta, 1); |
| | | char buff[256]; |
| | | sprintf(buff, "%s: Delta", window); |
| | | //show_image(dc, buff); |
| | | free_image(dc); |
| | | return single_filters; |
| | | } |
| | | |