root_mean_squared_error.cpp

/****************************************************************************************************************/
/*                                                                                                              */
/*   OpenNN: Open Neural Networks Library                                                                       */
/*   www.artelnics.com/opennn                                                                                   */
/*                                                                                                              */
/*   R O O T   M E A N   S Q U A R E D   E R R O R   C L A S S                                                  */
/*                                                                                                              */
/*   Roberto Lopez                                                                                              */
/*   Artelnics - Making intelligent use of data                                                                 */
/*   [email protected]                                                                                 */
/*                                                                                                              */
/****************************************************************************************************************/


// OpenNN includes

#include "root_mean_squared_error.h"

namespace OpenNN
{

// DEFAULT CONSTRUCTOR


RootMeanSquaredError::RootMeanSquaredError(void) : PerformanceTerm()
{
}


// NEURAL NETWORK CONSTRUCTOR


RootMeanSquaredError::RootMeanSquaredError(NeuralNetwork* new_neural_network_pointer)
: PerformanceTerm(new_neural_network_pointer)
{
}


// DATA SET CONSTRUCTOR


RootMeanSquaredError::RootMeanSquaredError(DataSet* new_data_set_pointer)
: PerformanceTerm(new_data_set_pointer)
{
}


// NEURAL NETWORK AND DATA SET CONSTRUCTOR


RootMeanSquaredError::RootMeanSquaredError(NeuralNetwork* new_neural_network_pointer, DataSet* new_data_set_pointer)
: PerformanceTerm(new_neural_network_pointer, new_data_set_pointer)
{
}


// XML CONSTRUCTOR


RootMeanSquaredError::RootMeanSquaredError(const tinyxml2::XMLDocument& root_mean_squared_error_document)
: PerformanceTerm(root_mean_squared_error_document)
{
}


// DESTRUCTOR


RootMeanSquaredError::~RootMeanSquaredError(void)
{
}


// METHODS

// void check(void) const method


void RootMeanSquaredError::check(void) const
{
   std::ostringstream buffer;

   // Neural network stuff

   if(!neural_network_pointer)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "void check(void) const method.\n"
             << "Pointer to neural network is NULL.\n";

      throw std::logic_error(buffer.str());   
   }

   const MultilayerPerceptron* multilayer_perceptron_pointer = neural_network_pointer->get_multilayer_perceptron_pointer();

   if(!multilayer_perceptron_pointer)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "void check(void) const method.\n"
             << "Pointer to multilayer perceptron is NULL.\n";

      throw std::logic_error(buffer.str());   
   }

   const size_t inputs_number = multilayer_perceptron_pointer->get_inputs_number();
   const size_t outputs_number = multilayer_perceptron_pointer->get_outputs_number();

   if(inputs_number == 0)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "void check(void) const method.\n"
             << "Number of inputs in multilayer perceptron object is zero.\n";

      throw std::logic_error(buffer.str());   
   }

   if(outputs_number == 0)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "void check(void) const method.\n"
             << "Number of outputs in multilayer perceptron object is zero.\n";

      throw std::logic_error(buffer.str());   
   }

   // Data set stuff

   if(!data_set_pointer)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "void check(void) const method.\n"
             << "Pointer to data set is NULL.\n";

      throw std::logic_error(buffer.str());   
   }

   // Sum squared error stuff

   const Variables& variables = data_set_pointer->get_variables();

   const size_t data_set_inputs_number = variables.count_inputs_number();
   const size_t targets_number = variables.count_targets_number();

   if(data_set_inputs_number != inputs_number)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "void check(void) const method.\n"
             << "Number of inputs in neural network must be equal to number of inputs in data set.\n";

      throw std::logic_error(buffer.str());   
   }

   if(outputs_number != targets_number)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "void check(void) const method.\n"
             << "Number of outputs in neural network must be equal to number of targets in data set.\n";

      throw std::logic_error(buffer.str());
   }
}


// double calculate_performance(void) const method


double RootMeanSquaredError::calculate_performance(void) const
{
   // Control sentence

   #ifndef NDEBUG 

   check();

   #endif

   // Neural network stuff

   const MultilayerPerceptron* multilayer_perceptron_pointer = neural_network_pointer->get_multilayer_perceptron_pointer();

   const size_t inputs_number = multilayer_perceptron_pointer->get_inputs_number();
   const size_t outputs_number = multilayer_perceptron_pointer->get_outputs_number();

   // Data set stuff

   const Instances& instances = data_set_pointer->get_instances();

   const size_t training_instances_number = instances.count_training_instances_number();

   const Vector<size_t> training_indices = instances.arrange_training_indices();

   size_t training_index;

   const Variables& variables = data_set_pointer->get_variables();

   const Vector<size_t> inputs_indices = variables.arrange_inputs_indices();
   const Vector<size_t> targets_indices = variables.arrange_targets_indices();

   const MissingValues& missing_values = data_set_pointer->get_missing_values();

   // Root mean squared error

   Vector<double> inputs(inputs_number);
   Vector<double> outputs(outputs_number);
   Vector<double> targets(outputs_number);

   double sum_squared_error = 0.0;

   int i = 0;

   #pragma omp parallel for private(i, training_index, inputs, outputs, targets) reduction(+:sum_squared_error)

   for(i = 0; i < (int)training_instances_number; i++)
   {
       training_index = training_indices[i];

       if(missing_values.has_missing_values(training_index))
       {
           continue;
       }

      // Input vector

      inputs = data_set_pointer->get_instance(training_index, inputs_indices);

      // Output vector

      outputs = multilayer_perceptron_pointer->calculate_outputs(inputs);

      // Target vector

      targets = data_set_pointer->get_instance(training_index, targets_indices);

      // Sum squaresd error

      sum_squared_error += outputs.calculate_sum_squared_error(targets);           
   }

   return(sqrt(sum_squared_error/(double)training_instances_number));
}


// double calculate_performance(const Vector<double>&) const method


double RootMeanSquaredError::calculate_performance(const Vector<double>& parameters) const
{
   // Control sentence (if debug)

   #ifndef NDEBUG 
   
   check();

   #endif

   #ifndef NDEBUG 

   std::ostringstream buffer;

   const size_t size = parameters.size();

   const size_t parameters_number = neural_network_pointer->count_parameters_number();

   if(size != parameters_number)
   {
      buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
             << "double calculate_performance(const Vector<double>&) const method.\n"
             << "Size (" << size << ") must be equal to number of parameters (" << parameters_number << ").\n";

      throw std::logic_error(buffer.str());   
   }

   #endif

   // Neural network stuff

   const MultilayerPerceptron* multilayer_perceptron_pointer = neural_network_pointer->get_multilayer_perceptron_pointer();

   const size_t inputs_number = multilayer_perceptron_pointer->get_inputs_number();
   const size_t outputs_number = multilayer_perceptron_pointer->get_outputs_number();

   // Data set stuff

   const Instances& instances = data_set_pointer->get_instances();

   const size_t training_instances_number = instances.count_training_instances_number();

   const Vector<size_t> training_indices = instances.arrange_training_indices();

   size_t training_index;

   const Variables& variables = data_set_pointer->get_variables();

   const Vector<size_t> inputs_indices = variables.arrange_inputs_indices();
   const Vector<size_t> targets_indices = variables.arrange_targets_indices();

   const MissingValues& missing_values = data_set_pointer->get_missing_values();

   // Root mean squared error

   Vector<double> inputs(inputs_number);
   Vector<double> outputs(outputs_number);
   Vector<double> targets(outputs_number);

   double sum_squared_error = 0.0;

   int i = 0;

   #pragma omp parallel for private(i, training_index, inputs, outputs, targets) reduction(+:sum_squared_error)

   for(i = 0; i < (int)training_instances_number; i++)
   {
       training_index = training_indices[i];

       if(missing_values.has_missing_values(training_index))
       {
           continue;
       }

      // Input vector

      inputs = data_set_pointer->get_instance(training_index, inputs_indices);

      // Output vector

      outputs = multilayer_perceptron_pointer->calculate_outputs(inputs, parameters);

      // Target vector

      targets = data_set_pointer->get_instance(training_index, targets_indices);

      // Sum squaresd error

      sum_squared_error += outputs.calculate_sum_squared_error(targets);
   }

   return(sqrt(sum_squared_error/(double)training_instances_number));
}


// Vector<double> calculate_gradient(void) const method


Vector<double> RootMeanSquaredError::calculate_gradient(void) const
{
   // Control sentence

   #ifndef NDEBUG 

   check();

   #endif

   // Neural network stuff

   const MultilayerPerceptron* multilayer_perceptron_pointer = neural_network_pointer->get_multilayer_perceptron_pointer();

   const size_t inputs_number = multilayer_perceptron_pointer->get_inputs_number();
   const size_t outputs_number = multilayer_perceptron_pointer->get_outputs_number();

   const size_t layers_number = multilayer_perceptron_pointer->get_layers_number();

   const size_t parameters_number = multilayer_perceptron_pointer->count_parameters_number();

   // Data set stuff

   Vector< Vector< Vector<double> > > first_order_forward_propagation(2); 

   const bool has_conditions_layer = neural_network_pointer->has_conditions_layer();

   const ConditionsLayer* conditions_layer_pointer = has_conditions_layer ? neural_network_pointer->get_conditions_layer_pointer() : NULL;

   Vector<double> particular_solution;
   Vector<double> homogeneous_solution;

   // Data set stuff

   const Instances& instances = data_set_pointer->get_instances();

   const size_t training_instances_number = instances.count_training_instances_number();

   const Vector<size_t> training_indices = instances.arrange_training_indices();

   size_t training_index;

   const Variables& variables = data_set_pointer->get_variables();

   const Vector<size_t> inputs_indices = variables.arrange_inputs_indices();
   const Vector<size_t> targets_indices = variables.arrange_targets_indices();

   const MissingValues& missing_values = data_set_pointer->get_missing_values();

   Vector<double> inputs(inputs_number);
   Vector<double> targets(outputs_number);

   // Performance functional stuff

   const double performance = calculate_performance();

   Vector< Vector<double> > layers_delta; 

   Vector<double> output_gradient(outputs_number);

   Vector<double> point_gradient(parameters_number, 0.0);

   // Main loop

   Vector<double> gradient(parameters_number, 0.0);

   int i = 0;

   #pragma omp parallel for private(i, training_index, inputs, targets, first_order_forward_propagation, output_gradient, \
    layers_delta, particular_solution, homogeneous_solution, point_gradient)

   for(i = 0; i < (int)training_instances_number; i++)
   {
       training_index = training_indices[i];

       if(missing_values.has_missing_values(training_index))
       {
           continue;
       }

      inputs = data_set_pointer->get_instance(training_index, inputs_indices);

      targets = data_set_pointer->get_instance(training_index, targets_indices);

      first_order_forward_propagation = multilayer_perceptron_pointer->calculate_first_order_forward_propagation(inputs);

      const Vector< Vector<double> >& layers_activation = first_order_forward_propagation[0];
      const Vector< Vector<double> >& layers_activation_derivative = first_order_forward_propagation[1];

      if(!has_conditions_layer)
      {
         output_gradient = (layers_activation[layers_number-1]-targets)/(training_instances_number*performance);

         layers_delta = calculate_layers_delta(layers_activation_derivative, output_gradient);
      }
      else
      {
         particular_solution = conditions_layer_pointer->calculate_particular_solution(inputs);
         homogeneous_solution = conditions_layer_pointer->calculate_homogeneous_solution(inputs);

         output_gradient = (particular_solution+homogeneous_solution*layers_activation[layers_number-1] - targets)/(training_instances_number*performance);

         layers_delta = calculate_layers_delta(layers_activation_derivative, homogeneous_solution, output_gradient);
      }

      point_gradient = calculate_point_gradient(inputs, layers_activation, layers_delta);

      #pragma omp critical

      gradient += point_gradient;
   }

   return(gradient);
}


// double calculate_generalization_performance(void) const method


double RootMeanSquaredError::calculate_generalization_performance(void) const
{
   // Control sentence (if debug)

   #ifndef NDEBUG 

   check();

   #endif

   // Neural network staff

   const MultilayerPerceptron* multilayer_perceptron_pointer = neural_network_pointer->get_multilayer_perceptron_pointer();

   const size_t inputs_number = multilayer_perceptron_pointer->get_inputs_number();
   const size_t outputs_number = multilayer_perceptron_pointer->get_outputs_number();

   // Data set stuff

   const Instances& instances = data_set_pointer->get_instances();
   const size_t generalization_instances_number = instances.count_generalization_instances_number();

   if(generalization_instances_number == 0)
   {
      return(0.0);
   }

   const Vector<size_t> generalization_indices = instances.arrange_generalization_indices();

   size_t generalization_index;

   const MissingValues& missing_values = data_set_pointer->get_missing_values();

   const Variables& variables = data_set_pointer->get_variables();

   const Vector<size_t> inputs_indices = variables.arrange_inputs_indices();
   const Vector<size_t> targets_indices = variables.arrange_targets_indices();

   Vector<double> inputs(inputs_number);
   Vector<double> outputs(outputs_number);
   Vector<double> targets(outputs_number);

   int i = 0;

   double generalization_performance = 0.0;

   #pragma omp parallel for private(i, generalization_index, inputs, outputs, targets) reduction(+ : generalization_performance)

   for(i = 0; i < (int)generalization_instances_number; i++)
   {
       generalization_index = generalization_indices[i];

       if(missing_values.has_missing_values(generalization_index))
       {
           continue;
       }

      // Input vector

      inputs = data_set_pointer->get_instance(generalization_index, inputs_indices);

      // Output vector

      outputs = multilayer_perceptron_pointer->calculate_outputs(inputs);

      // Target vector

      targets = data_set_pointer->get_instance(generalization_index, targets_indices);

      // Sum of squares error

      generalization_performance += outputs.calculate_sum_squared_error(targets);
   }

   return(sqrt(generalization_performance/(double)generalization_instances_number));
}


// Matrix<double> calculate_Hessian(void) const method


Matrix<double> RootMeanSquaredError::calculate_Hessian(void) const
{
   Matrix<double> m;

   return(m);
}


// std::string write_performance_term_type(void) const method


std::string RootMeanSquaredError::write_performance_term_type(void) const
{
   return("ROOT_MEAN_SQUARED_ERROR");
}


// tinyxml2::XMLDocument* to_XML(void) const method 


tinyxml2::XMLDocument* RootMeanSquaredError::to_XML(void) const
{
   std::ostringstream buffer;

   tinyxml2::XMLDocument* document = new tinyxml2::XMLDocument;

   // Root mean squared error

   tinyxml2::XMLElement* root_mean_squared_error_element = document->NewElement("RootMeanSquaredError");

   document->InsertFirstChild(root_mean_squared_error_element);

   // Display
   {
      tinyxml2::XMLElement* display_element = document->NewElement("Display");
      root_mean_squared_error_element->LinkEndChild(display_element);

      buffer.str("");
      buffer << display;

      tinyxml2::XMLText* display_text = document->NewText(buffer.str().c_str());
      display_element->LinkEndChild(display_text);
   }

   return(document);
}


// void from_XML(const tinyxml2::XMLDocument&) method


void RootMeanSquaredError::from_XML(const tinyxml2::XMLDocument& document)
{
    const tinyxml2::XMLElement* root_element = document.FirstChildElement("RootMeanSquaredError");

    if(!root_element)
    {
        std::ostringstream buffer;

        buffer << "OpenNN Exception: RootMeanSquaredError class.\n"
               << "void from_XML(const tinyxml2::XMLDocument&) method.\n"
               << "Root mean squared error element is NULL.\n";

        throw std::logic_error(buffer.str());
    }

  // Display
  {
     const tinyxml2::XMLElement* element = root_element->FirstChildElement("Display");

     if(element)
     {
        const std::string new_display_string = element->GetText();

        try
        {
           set_display(new_display_string != "0");
        }
        catch(const std::logic_error& e)
        {
           std::cout << e.what() << std::endl;
        }
     }
  }
}

}

// OpenNN: Open Neural Networks Library.
// Copyright (c) 2005-2015 Roberto Lopez.
//
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or any later version.
//
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.

// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA