/* Multiply a 3x3 matrix with a 3x3 matrix, giving a 3x3 matrix */
void x3f_3x3_3x3_mul(double *a, double *b, double *c)
{
M00(c) = M00(a)*M00(b) + M01(a)*M10(b) + M02(a)*M20(b);
M01(c) = M00(a)*M01(b) + M01(a)*M11(b) + M02(a)*M21(b);
M02(c) = M00(a)*M02(b) + M01(a)*M12(b) + M02(a)*M22(b);
M10(c) = M10(a)*M00(b) + M11(a)*M10(b) + M12(a)*M20(b);
M11(c) = M10(a)*M01(b) + M11(a)*M11(b) + M12(a)*M21(b);
M12(c) = M10(a)*M02(b) + M11(a)*M12(b) + M12(a)*M22(b);
M20(c) = M20(a)*M00(b) + M21(a)*M10(b) + M22(a)*M20(b);
M21(c) = M20(a)*M01(b) + M21(a)*M11(b) + M22(a)*M21(b);
M22(c) = M20(a)*M02(b) + M21(a)*M12(b) + M22(a)*M22(b);
}
/* Calculate the inverse of a 3x3 matrix
http://en.wikipedia.org/wiki/Invertible_matrix */
void x3f_3x3_inverse(double *a, double *ainv)
{
double A, B, C, D, E, F, G, H, I;
double det;
A = +(M11(a)*M22(a)-M12(a)*M21(a));
B = -(M10(a)*M22(a)-M12(a)*M20(a));
C = +(M10(a)*M21(a)-M11(a)*M20(a));
D = -(M01(a)*M22(a)-M02(a)*M21(a));
E = +(M00(a)*M22(a)-M02(a)*M20(a));
F = -(M00(a)*M21(a)-M01(a)*M20(a));
G = +(M01(a)*M12(a)-M02(a)*M11(a));
H = -(M00(a)*M12(a)-M02(a)*M10(a));
I = +(M00(a)*M11(a)-M01(a)*M10(a));
det = M00(a)*A + M01(a)*B + M02(a)*C;
M00(ainv) = A/det; M01(ainv) = D/det; M02(ainv) = G/det;
M10(ainv) = B/det; M11(ainv) = E/det; M12(ainv) = H/det;
M20(ainv) = C/det; M21(ainv) = F/det; M22(ainv) = I/det;
}
/* Multiply a scalar with a 3x3 matrix, giving a 3x3 matrix */
void x3f_scalar_3x3_mul(double a, double *b, double *c)
{
M00(c) = a*M00(b); M01(c) = a*M01(b); M02(c) = a*M02(b);
M10(c) = a*M10(b); M11(c) = a*M11(b); M12(c) = a*M12(b);
M20(c) = a*M20(b); M21(c) = a*M21(b); M22(c) = a*M22(b);
}
void x3f_Bradford_D65_to_D50(double *a)
{
M00(a) = +1.0478112 ; M01(a) = +0.0228866; M02(a) = -0.0501270;
M10(a) = +0.0295424 ; M11(a) = +0.9904844; M12(a) = -0.0170491;
M20(a) = -0.0092345 ; M21(a) = +0.0150436; M22(a) = +0.7521316;
}
/* http://www.brucelindbloom.com/index.html?Eqn_ChromAdapt.html */
void x3f_Bradford_D50_to_D65(double *a)
{
M00(a) = +0.9555766 ; M01(a) = -0.0230393; M02(a) = +0.0631636;
M10(a) = -0.0282895 ; M11(a) = +1.0099416; M12(a) = +0.0210077;
M20(a) = +0.0122982 ; M21(a) = -0.0204830; M22(a) = +1.3299098;
}
/* http://en.wikipedia.org/wiki/CIE_1931_color_space */
void x3f_CIERGB_to_XYZ(double *a)
{
M00(a) = 0.49 ; M01(a) = 0.31 ; M02(a) = 0.20 ;
M10(a) = 0.17697 ; M11(a) = 0.81240 ; M12(a) = 0.01063 ;
M20(a) = 0.00 ; M21(a) = 0.01 ; M22(a) = 0.99 ;
}
void x3f_sRGB_to_XYZ(double *a)
{
M00(a) = 0.4124; M01(a) = 0.3576; M02(a) = 0.1805;
M10(a) = 0.2126; M11(a) = 0.7152; M12(a) = 0.0722;
M20(a) = 0.0193; M21(a) = 0.1192; M22(a) = 0.9505;
}
void x3f_3x3_identity(double *a)
{
M00(a) = 1.0; M01(a) = 0.0; M02(a) = 0.0;
M10(a) = 0.0; M11(a) = 1.0; M12(a) = 0.0;
M20(a) = 0.0; M21(a) = 0.0; M22(a) = 1.0;
}
void x3f_AdobeRGB_to_XYZ(double *a)
{
M00(a) = 0.57667; M01(a) = 0.18556; M02(a) = 0.18823;
M10(a) = 0.29737; M11(a) = 0.62736; M12(a) = 0.07529;
M20(a) = 0.02703; M21(a) = 0.07069; M22(a) = 0.99134;
}
/* http://www.adobe.com/digitalimag/pdfs/AdobeRGB1998.pdf */
void x3f_XYZ_to_AdobeRGB(double *a)
{
M00(a) = +2.04159; M01(a) = -0.56501; M02(a) = -0.34473;
M10(a) = -0.96924; M11(a) = +1.87597; M12(a) = +0.04156;
M20(a) = +0.01344; M21(a) = -0.11836; M22(a) = +1.01517;
}
void x3f_ProPhotoRGB_to_XYZ(double *a)
{
M00(a) = 0.7977; M01(a) = 0.1352; M02(a) = 0.0313;
M10(a) = 0.2880; M11(a) = 0.7119; M12(a) = 0.0001;
M20(a) = 0.0000; M21(a) = 0.0000; M22(a) = 0.8249;
}
/* http://en.wikipedia.org/wiki/ProPhoto_RGB_color_space */
void x3f_XYZ_to_ProPhotoRGB(double *a)
{
M00(a) = +1.3460; M01(a) = -0.2556; M02(a) = -0.0511;
M10(a) = -0.5446; M11(a) = +1.5082; M12(a) = +0.0205;
M20(a) = +0.0000; M21(a) = +0.0000; M22(a) = +1.2123;
}
/* Print a 3x3 matrix */
void x3f_3x3_print(x3f_verbosity_t level, double *a)
{
x3f_printf(level, "%10g %10g %10g\n", M00(a), M01(a), M02(a));
x3f_printf(level, "%10g %10g %10g\n", M10(a), M11(a), M12(a));
x3f_printf(level, "%10g %10g %10g\n", M20(a), M21(a), M22(a));
}
void x3f_3x3_ones(double *a)
{
M00(a) = 1.0; M01(a) = 1.0; M02(a) = 1.0;
M10(a) = 1.0; M11(a) = 1.0; M12(a) = 1.0;
M20(a) = 1.0; M21(a) = 1.0; M22(a) = 1.0;
}
/* http://en.wikipedia.org/wiki/SRGB */
void x3f_XYZ_to_sRGB(double *a)
{
M00(a) = +3.2406; M01(a) = -1.5372; M02(a) = -0.4986;
M10(a) = -0.9689; M11(a) = +1.8758; M12(a) = +0.0415;
M20(a) = +0.0557; M21(a) = -0.2040; M22(a) = +1.0570;
}
int main(int argc, char *argv[]){
Params params;
std::map<std::string, std::string> args;
readArgs(argc, argv, args);
if(args.find("algo")!=args.end()){
params.algo = args["algo"];
}else{
params.algo = "qdMCNat";
}
if(args.find("inst_file")!=args.end())
setParamsFromFile(args["inst_file"], args, params);
else
setParams(params.algo, args, params);
createLogDir(params.dir_path);
gen.seed(params.seed);
// Load the dataset
MyMatrix X_train, X_valid;
VectorXd Y_train, Y_valid;
loadMnist(params.ratio_train, X_train, X_valid, Y_train, Y_valid);
//loadCIFAR10(params.ratio_train, X_train, X_valid, Y_train, Y_valid);
//loadLightCIFAR10(params.ratio_train, X_train, X_valid, Y_train, Y_valid);
// ConvNet parameters
std::vector<ConvLayerParams> conv_params;
ConvLayerParams conv_params1;
conv_params1.Hf = 5;
conv_params1.stride = 1;
conv_params1.n_filter = 20;
conv_params1.padding = 0;
conv_params.push_back(conv_params1);
ConvLayerParams conv_params2;
conv_params2.Hf = 5;
conv_params2.stride = 1;
conv_params2.n_filter = 50;
conv_params2.padding = 0;
conv_params.push_back(conv_params2);
std::vector<PoolLayerParams> pool_params;
PoolLayerParams pool_params1;
pool_params1.Hf = 2;
pool_params1.stride = 2;
pool_params.push_back(pool_params1);
PoolLayerParams pool_params2;
pool_params2.Hf = 2;
pool_params2.stride = 2;
pool_params.push_back(pool_params2);
const unsigned n_conv_layer = conv_params.size();
for(unsigned l = 0; l < conv_params.size(); l++){
if(l==0){
conv_params[l].filter_size = conv_params[l].Hf * conv_params[l].Hf * params.img_depth;
conv_params[l].N = (params.img_width - conv_params[l].Hf + 2*conv_params[l].padding)/conv_params[l].stride + 1;
}
else{
conv_params[l].filter_size = conv_params[l].Hf * conv_params[l].Hf * conv_params[l-1].n_filter;
conv_params[l].N = (pool_params[l-1].N - conv_params[l].Hf + 2*conv_params[l].padding)/conv_params[l].stride + 1;
}
pool_params[l].N = (conv_params[l].N - pool_params[l].Hf)/pool_params[l].stride + 1;
}
// Neural Network parameters
const unsigned n_training = X_train.rows();
const unsigned n_valid = X_valid.rows();
const unsigned n_feature = X_train.cols();
const unsigned n_label = Y_train.maxCoeff() + 1;
params.nn_arch.insert(params.nn_arch.begin(),conv_params[n_conv_layer-1].n_filter * pool_params[n_conv_layer-1].N * pool_params[n_conv_layer-1].N);
params.nn_arch.push_back(n_label);
const unsigned n_layers = params.nn_arch.size();
// Optimization parameter
const int n_train_batch = ceil(n_training/(float)params.train_minibatch_size);
const int n_valid_batch = ceil(n_valid/(float)params.valid_minibatch_size);
double prev_loss = std::numeric_limits<double>::max();
double eta = params.eta;
// Create the convolutional layer
std::vector<MyMatrix> conv_W(n_conv_layer);
std::vector<MyMatrix> conv_W_T(n_conv_layer);
std::vector<MyVector> conv_B(n_conv_layer);
// Create the neural network
MyMatrix W_out(params.nn_arch[n_layers-2],n_label);
std::vector<MySpMatrix> W(n_layers-2);
std::vector<MySpMatrix> Wt(n_layers-2);
std::vector<MyVector> B(n_layers-1);
double init_sigma = 0.;
ActivationFunction act_func;
ActivationFunction eval_act_func;
if(params.act_func_name=="sigmoid"){
init_sigma = 4.0;
act_func = std::bind(logistic,true,_1,_2,_3);
eval_act_func = std::bind(logistic,false,_1,_2,_3);
}else if(params.act_func_name=="tanh"){
init_sigma = 1.0;
act_func = std::bind(my_tanh,true,_1,_2,_3);
eval_act_func = std::bind(my_tanh,false,_1,_2,_3);
}else if(params.act_func_name=="relu"){
init_sigma = 1.0; // TODO: Find the good value
act_func = std::bind(relu,true,_1,_2,_3);
eval_act_func = std::bind(relu,false,_1,_2,_3);
}else{
std::cout << "Not implemented yet!" << std::endl;
assert(false);
}
std::cout << "Initializing the network... ";
params.n_params = initNetwork(params.nn_arch, params.act_func_name, params.sparsity, conv_params, pool_params, W_out, W, Wt, B, conv_W, conv_W_T, conv_B); // TODO: Init the conv bias
// Deep copy of parameters for the adaptive rule
std::vector<MyMatrix> mu_dW(n_layers-1);
std::vector<MyVector> mu_dB(n_layers-1);
MyMatrix pW_out = W_out;
std::vector<MySpMatrix> pW = W;
std::vector<MySpMatrix> pWt = Wt;
std::vector<MyVector> pB = B;
MyMatrix ppMii_out, ppM0i_out;
MyVector ppM00_out;
std::vector<MySpMatrix> ppMii,ppM0i;
std::vector<MyVector> ppM00;
MyMatrix pMii_out,pM0i_out;
MyVector pM00_out;
std::vector<MySpMatrix> pMii,pM0i;
std::vector<MyVector> pM00;
std::vector<MyMatrix> conv_ppMii, conv_ppM0i;
std::vector<MyVector> conv_ppM00;
std::vector<MyMatrix> conv_pMii, conv_pM0i;
std::vector<MyVector> conv_pM00;
// Convert the labels to one-hot vector
MyMatrix one_hot = MyMatrix::Zero(n_training, n_label);
labels2oneHot(Y_train,one_hot);
// Configure the logger
std::ostream* logger;
if(args.find("verbose")!=args.end()){
getOutput("",logger);
}else{
getOutput(params.file_path,logger);
}
double cumul_time = 0.;
printDesc(params, logger);
printConvDesc(params, conv_params, pool_params, logger);
std::cout << "Starting the learning phase... " << std::endl;
*logger << "Epoch Time(s) train_loss train_accuracy valid_loss valid_accuracy eta" << std::endl;
for(unsigned i = 0; i < params.n_epoch; i++){
for(unsigned j = 0; j < n_train_batch; j++){
// Mini-batch creation
unsigned curr_batch_size = 0;
MyMatrix X_batch, one_hot_batch;
getMiniBatch(j, params.train_minibatch_size, X_train, one_hot, params, conv_params[0], curr_batch_size, X_batch, one_hot_batch);
double prev_time = gettime();
// Forward propagation for conv layer
std::vector<std::vector<unsigned>> poolIdxX1(n_conv_layer);
std::vector<std::vector<unsigned>> poolIdxY1(n_conv_layer);
MyMatrix z0;
std::vector<MyMatrix> conv_A(conv_W.size());
std::vector<MyMatrix> conv_Ap(conv_W.size());
convFprop(curr_batch_size, conv_params, pool_params, act_func, conv_W, conv_B, X_batch, conv_A, conv_Ap, z0, poolIdxX1, poolIdxY1);
// Forward propagation
std::vector<MyMatrix> Z(n_layers-1);
std::vector<MyMatrix> A(n_layers-2);
std::vector<MyMatrix> Ap(n_layers-2);
fprop(params.dropout_flag, act_func, W, W_out, B, z0, Z, A, Ap);
// Compute the output and the error
MyMatrix out;
softmax(Z[n_layers-2], out);
std::vector<MyMatrix> gradB(n_layers-1);
gradB[n_layers-2] = out - one_hot_batch;
// Backpropagation
bprop(Wt, W_out, Ap, gradB);
// Backpropagation for conv layer
std::vector<MyMatrix> conv_gradB(conv_W.size());
MyMatrix layer_gradB = (gradB[0] * W[0].transpose());
MyMatrix pool_gradB;
layer2pool(curr_batch_size, pool_params[conv_W.size()-1].N, conv_params[conv_W.size()-1].n_filter, layer_gradB, pool_gradB);
convBprop(curr_batch_size, conv_params, pool_params, conv_W_T, conv_Ap, pool_gradB, conv_gradB, poolIdxX1, poolIdxY1);
if(params.algo == "bprop"){
update(eta, gradB, A, z0, params.regularizer, params.lambda, W_out, W, Wt, B);
convUpdate(curr_batch_size, eta, conv_params, conv_gradB, conv_A, X_batch, "", 0., conv_W, conv_W_T, conv_B);
}else{
// Compute the metric
std::vector<MyMatrix> metric_gradB(n_layers-1);
std::vector<MyMatrix> metric_conv_gradB(conv_params.size());
if(params.algo=="qdMCNat"){
// Monte-Carlo Approximation of the metric
std::vector<MyMatrix> mc_gradB(n_layers-1);
computeMcError(out, mc_gradB[n_layers-2]);
// Backpropagation
bprop(Wt, W_out, Ap, mc_gradB);
for(unsigned k = 0; k < gradB.size(); k++){
metric_gradB[k] = mc_gradB[k].array().square();
}
// Backpropagation for conv layer
std::vector<MyMatrix> mc_conv_gradB(conv_W.size());
MyMatrix mc_layer_gradB = (mc_gradB[0] * W[0].transpose());
MyMatrix mc_pool_gradB;
layer2pool(curr_batch_size, pool_params[conv_W.size()-1].N, conv_params[conv_W.size()-1].n_filter, mc_layer_gradB, mc_pool_gradB);
convBprop(curr_batch_size, conv_params, pool_params, conv_W_T, conv_Ap, mc_pool_gradB, mc_conv_gradB, poolIdxX1, poolIdxY1);
for(unsigned k = 0; k < conv_params.size(); k++){
metric_conv_gradB[k] = mc_conv_gradB[k].array().square();
}
}
else if(params.algo=="qdop"){
for(unsigned k = 0; k < conv_params.size(); k++){
metric_conv_gradB[k] = conv_gradB[k].array().square();
}
for(unsigned k = 0; k < gradB.size(); k++){
metric_gradB[k] = gradB[k].array().square();
}
}
else if(params.algo=="qdNat"){
for(unsigned k = 0; k < conv_params.size(); k++){
metric_conv_gradB[k] = conv_gradB[k].array().square();
}
for(unsigned k = 0; k < metric_gradB.size(); k++){
metric_gradB[k] = MyMatrix::Zero(gradB[k].rows(),gradB[k].cols());
}
for(unsigned l = 0; l < n_label; l++){
MyMatrix fisher_ohbatch = MyMatrix::Zero(curr_batch_size, n_label);
fisher_ohbatch.col(l).setOnes();
std::vector<MyMatrix> fgradB(n_layers-1);
fgradB[n_layers-2] = out - fisher_ohbatch;
bprop(Wt, W_out, Ap, fgradB);
// Backpropagation for conv layer
std::vector<MyMatrix> fisher_conv_gradB(conv_W.size());
MyMatrix fisher_layer_gradB = (fgradB[0] * W[0].transpose());
MyMatrix fisher_pool_gradB;
layer2pool(curr_batch_size, pool_params[conv_W.size()-1].N, conv_params[conv_W.size()-1].n_filter, fisher_layer_gradB, fisher_pool_gradB);
convBprop(curr_batch_size, conv_params, pool_params, conv_W_T, conv_Ap, fisher_pool_gradB, fisher_conv_gradB, poolIdxX1, poolIdxY1);
for(unsigned k = 0; k < conv_params.size(); k++){
MyMatrix fisher_conv_gradB_sq = fisher_conv_gradB[k].array().square();
for(unsigned m = 0; m < out.rows(); m++){
for(unsigned f = 0; f < conv_params[k].n_filter; f++){
for(unsigned n = 0; n < conv_params[k].N * conv_params[k].N; n++){
fisher_conv_gradB_sq(f,m*conv_params[k].N*conv_params[k].N+n) *= out(m,l);
}
}
}
metric_conv_gradB[k] += fisher_conv_gradB_sq;
}
for(unsigned k = 0; k < W.size(); k++){
const unsigned rev_k = n_layers - k - 2;
metric_gradB[rev_k] += (fgradB[rev_k].array().square().array().colwise() * out.array().col(l)).matrix();
}
}
}
bool init_flag = false;
if(i == 0 && j == 0 && !params.init_metric_id){
init_flag = true;
}
std::vector<MyMatrix> conv_Mii(conv_params.size());
std::vector<MyMatrix> conv_M0i(conv_params.size());
std::vector<MyVector> conv_M00(conv_params.size());
buildConvQDMetric(curr_batch_size, metric_conv_gradB, conv_A, X_batch, conv_W, params.matrix_reg, conv_Mii, conv_M0i, conv_M00);
updateConvMetric(init_flag, params.metric_gamma, conv_pMii, conv_pM0i, conv_pM00, conv_Mii, conv_M0i, conv_M00);
MyMatrix Mii_out, M0i_out;
MyVector M00_out;
std::vector<MySpMatrix> Mii(W.size());
std::vector<MySpMatrix> M0i(W.size());
std::vector<MyVector> M00(W.size());
buildQDMetric(metric_gradB, A, z0, W_out, W, params.matrix_reg, Mii_out, M0i_out, M00_out, Mii, M0i, M00);
updateMetric(init_flag, params.metric_gamma, Mii_out, M0i_out, M00_out, Mii, M0i, M00, pMii_out, pM0i_out, pM00_out, pMii, pM0i, pM00);
update(eta, gradB, A, z0, params.regularizer, params.lambda, W_out, W, Wt, B, Mii_out, M0i_out, M00_out, Mii, M0i, M00);
}
double curr_time = gettime();
cumul_time += curr_time - prev_time;
if(params.minilog_flag){
double train_loss = 0.;
double train_accuracy = 0.;
double valid_loss = 0.;
double valid_accuracy = 0.;
evalModel(eval_act_func, params, n_train_batch, n_training, X_train, Y_train, conv_params, pool_params, conv_W, conv_B, W_out, W, B, train_loss, train_accuracy);
evalModel(eval_act_func, params, n_valid_batch, n_valid, X_valid, Y_valid, conv_params, pool_params, conv_W, conv_B, W_out, W, B, valid_loss, valid_accuracy);
// Logging
*logger << i + float(j)/n_train_batch << " " << cumul_time << " " << train_loss << " " << train_accuracy << " " << valid_loss << " " << valid_accuracy << " " << eta << std::endl;
}
}
if(!params.minilog_flag || params.adaptive_flag){
double train_loss = 0.;
double train_accuracy = 0.;
double valid_loss = 0.;
double valid_accuracy = 0.;
evalModel(eval_act_func, params, n_train_batch, n_training, X_train, Y_train, conv_params, pool_params, conv_W, conv_B, W_out, W, B, train_loss, train_accuracy);
evalModel(eval_act_func, params, n_valid_batch, n_valid, X_valid, Y_valid, conv_params, pool_params, conv_W, conv_B, W_out, W, B, valid_loss, valid_accuracy);
// if(params.adaptive_flag)
// adaptiveRule(train_loss, prev_loss, eta, W, B, pMii, pM0i, pM00, pW, pB, ppMii, ppM0i, ppM00);
// Logging
if(!params.minilog_flag){
*logger << i << " " << cumul_time << " " << train_loss << " " << train_accuracy << " " << valid_loss << " " << valid_accuracy << " " << eta << std::endl;
}
}
}
}
/* Convert a 3x1 matrix to a 3x3 diagonal matrix */
void x3f_3x3_diag(double *a, double *b)
{
M00(b) = M0(a); M01(b) = 0.0; M02(b) = 0.0;
M10(b) = 0.0; M11(b) = M1(a); M12(b) = 0.0;
M20(b) = 0.0; M21(b) = 0.0; M22(b) = M2(a);
}