Backpass on reg
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...
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Binary file not shown.
Binary file not shown.
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utils::Mf X_test;
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|
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1e-4f, // weight L1
|
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|
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0.0f, // bias L1
|
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0.0f // bias L2
|
||||
);
|
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neural_networks::Activation_ReLU<float> activation1;
|
||||
@@ -49,14 +57,26 @@ int main(int argc, char const *argv[])
|
||||
|
||||
// Create a second Dense layer with 16 inputs (as we take the vlaues from the last layer)
|
||||
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|
||||
neural_networks::Dense_Layer<float> dense2(16, 16);
|
||||
neural_networks::Dense_Layer<float> dense2(
|
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8, 8, // input/output
|
||||
1e-4f, // weight L1
|
||||
1e-4f, // weight L2
|
||||
0.0f, // bias L1
|
||||
0.0f // bias L2
|
||||
);
|
||||
// Create Softmax activation (to be used with Dense layer)
|
||||
neural_networks::Activation_Softmax<float> activation2;
|
||||
|
||||
|
||||
// Create a second Dense layer with 3 inputs (as we take the vlaues from the last layer)
|
||||
// and 3 output values
|
||||
neural_networks::Dense_Layer<float> dense3(16, number_of_classes);
|
||||
neural_networks::Dense_Layer<float> dense3(
|
||||
8, number_of_classes, // input/output
|
||||
1e-4f, // weight L1
|
||||
1e-4f, // weight L2
|
||||
0.0f, // bias L1
|
||||
0.0f // bias L2
|
||||
);
|
||||
|
||||
// Create a Sfotmax classifier's combined loss and activation
|
||||
neural_networks::Activation_Softmax_Loss_CategoricalCrossentropy<float, int64_t> loss_activation;
|
||||
@@ -95,8 +115,12 @@ int main(int argc, char const *argv[])
|
||||
|
||||
// Perform a foard pass through the activation/loss function
|
||||
// takes the output of the second dense layer here and returns loss
|
||||
loss = loss_activation.forward(dense2.outputs, y);
|
||||
loss_activation.loss.regularization_loss(dense1);
|
||||
data_loss = loss_activation.forward(dense3.outputs, y);
|
||||
|
||||
// Calculate regularization penalty
|
||||
regularization_loss = loss_activation.loss.regularization_loss(dense1) + loss_activation.loss.regularization_loss(dense2) + loss_activation.loss.regularization_loss(dense3);
|
||||
|
||||
loss = data_loss + regularization_loss;
|
||||
|
||||
// Calculate accuracy from output of activation2 and targets
|
||||
//predections = numerics::matargmax_row <int64_t, float>(loss_activation.outputs);
|
||||
@@ -116,13 +140,17 @@ int main(int argc, char const *argv[])
|
||||
std::cout << "epoch: " << epoch;
|
||||
std::cout << ", acc: " << accuracy;
|
||||
std::cout << ", loss: " << loss;
|
||||
std::cout << ", data_loss: " << data_loss;
|
||||
std::cout << ", regularization_loss: " << regularization_loss;
|
||||
std::cout << ", lr: " << optimizer.current_learning_rate;
|
||||
std::cout << std::endl;
|
||||
}
|
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|
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// Backward pass
|
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loss_activation.backward(loss_activation.outputs, y);
|
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dense2.backward(loss_activation.dinputs);
|
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dense3.backward(loss_activation.dinputs);
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activation2.backward(dense3.dinputs);
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dense2.backward(activation2.dinputs);
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activation1.backward(dense2.dinputs);
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dense1.backward(activation1.dinputs);
|
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|
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@@ -131,6 +159,7 @@ int main(int argc, char const *argv[])
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optimizer.pre_update_params();
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optimizer.update_params(dense1);
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}
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@@ -163,7 +192,12 @@ int main(int argc, char const *argv[])
|
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|
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// Perform a foard pass through the activation/loss function
|
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// takes the output of the second dense layer here and returns loss
|
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loss = loss_activation.forward(dense3.outputs, y_test);
|
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|
||||
|
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// Calculate regularization penalty
|
||||
regularization_loss = loss_activation.loss.regularization_loss(dense1) + loss_activation.loss.regularization_loss(dense2) + loss_activation.loss.regularization_loss(dense3);
|
||||
|
||||
loss = data_loss + regularization_loss;
|
||||
|
||||
// Calculate accuracy from output of activation2 and targets
|
||||
predections = numerics::argmax_rowwise(loss_activation.outputs);
|
||||
|
||||
@@ -12,11 +12,11 @@ namespace neural_networks{
|
||||
template <typename T>
|
||||
struct Dense_Layer{
|
||||
|
||||
T weight_regularizer_l1 = {1e-4};
|
||||
T weight_regularizer_l2 = {1e-4};
|
||||
T weight_regularizer_l1 = {0};
|
||||
T weight_regularizer_l2 = {0};
|
||||
|
||||
T bias_regularizer_l1 = {1e-4};
|
||||
T bias_regularizer_l2 = {1e-4};
|
||||
T bias_regularizer_l1 = {0};
|
||||
T bias_regularizer_l2 = {0};
|
||||
|
||||
utils::Matrix<T> _inputs;
|
||||
utils::Matrix<T> weights;
|
||||
@@ -37,8 +37,17 @@ namespace neural_networks{
|
||||
Dense_Layer() = default;
|
||||
|
||||
// Constructor
|
||||
Dense_Layer(const uint64_t n_inputs, const uint64_t n_neurons){
|
||||
|
||||
Dense_Layer(const uint64_t n_inputs, const uint64_t n_neurons,
|
||||
const T weight_regularizer_l1=T{0},
|
||||
const T weight_regularizer_l2=T{0},
|
||||
const T bias_regularizer_l1=T{0},
|
||||
const T bias_regularizer_l2=T{0}){
|
||||
|
||||
this->weight_regularizer_l1 = weight_regularizer_l1;
|
||||
this->weight_regularizer_l2 = weight_regularizer_l2;
|
||||
this->bias_regularizer_l1 = bias_regularizer_l1;
|
||||
this->bias_regularizer_l2 = bias_regularizer_l2;
|
||||
|
||||
weights.random(n_inputs, n_neurons, -1, 1);
|
||||
//weights = numerics::random_matrix(n_inputs, n_neurons, -1, 1);
|
||||
biases.resize(n_neurons, T{0});
|
||||
@@ -55,8 +64,41 @@ namespace neural_networks{
|
||||
// Gradients on parameters
|
||||
dweights = numerics::matmul(numerics::transpose(_inputs), dvalues);
|
||||
dbiases = numerics::sum_rowwise(dvalues);
|
||||
|
||||
|
||||
// Gradients on regularization
|
||||
// L1 on weights
|
||||
if(weight_regularizer_l1){
|
||||
utils::Matrix<T> dL1(weights.rows(), weights.cols(), T{1});
|
||||
for (uint64_t i = 0; i < weights.rows(); ++i){
|
||||
for (uint64_t j = 0; j < weights.cols(); ++j){
|
||||
if (weights(i,j) < 0){
|
||||
dL1(i,j) = -1;
|
||||
}
|
||||
}
|
||||
}
|
||||
dweights = numerics::add(dweights, numerics::mul(dL1, weight_regularizer_l1));
|
||||
}
|
||||
// L2 on weights
|
||||
if(weight_regularizer_l2){
|
||||
dweights = numerics::add(dweights, numerics::mul(numerics::mul(weights, weight_regularizer_l2),T{2}));
|
||||
}
|
||||
// L1 on biases
|
||||
if(bias_regularizer_l1){
|
||||
utils::Vector<T> dL1(biases.size(), T{1});
|
||||
for (uint64_t i = 0; i < dL1.size(); ++i){
|
||||
if (biases[i] < 0){
|
||||
dL1[i] = -1;
|
||||
}
|
||||
}
|
||||
dbiases = numerics::add(dbiases, numerics::mul(dL1, bias_regularizer_l1));
|
||||
}
|
||||
// L2 on biases
|
||||
if (bias_regularizer_l2){
|
||||
dbiases = numerics::add(dbiases, numerics::mul(numerics::mul(biases, bias_regularizer_l2),T{2}));
|
||||
}
|
||||
|
||||
//Gradient on values
|
||||
|
||||
dinputs = numerics::matmul(dvalues, numerics::transpose(weights));
|
||||
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user