/usr/include/shark/Models/TiedAutoencoder.h is in libshark-dev 3.1.3+ds1-2.
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* \brief Implements the autoencoder with tied weights
*
* \author O. Krause
* \date 2010-2014
*
*
* \par Copyright 1995-2015 Shark Development Team
*
* <BR><HR>
* This file is part of Shark.
* <http://image.diku.dk/shark/>
*
* Shark 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 3 of the License, or
* (at your option) any later version.
*
* Shark 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 Shark. If not, see <http://www.gnu.org/licenses/>.
*
*/
#ifndef SHARK_MODELS_TIEDAUTOENCODER_H
#define SHARK_MODELS_TIEDAUTOENCODER_H
#include <shark/Models/AbstractModel.h>
#include <shark/Models/Neurons.h>
#include <shark/Models/FFNet.h>
#include <boost/serialization/vector.hpp>
namespace shark{
/// \brief implements the autoencoder with tied weights
///
/// The formula is
/// \f[ f(x) = \sigma_2(W^T\sigma_1(Wx+b_1)+b_2)\f]
/// Where \f$ W \f$, \f$b_1 \f$ and \f$b_2 \f$ are the weights and
/// \f$\sigma_1\f$ and \f$ \sigma_2\f$ are the activation functions for hidden and output units.
template<class HiddenNeuron,class OutputNeuron>
class TiedAutoencoder :public AbstractModel<RealVector,RealVector>
{
struct InternalState: public State{
RealMatrix hiddenResponses;
RealMatrix outputResponses;
};
public:
TiedAutoencoder(){
m_features|=HAS_FIRST_PARAMETER_DERIVATIVE;
m_features|=HAS_FIRST_INPUT_DERIVATIVE;
}
//! \brief From INameable: return the class name.
std::string name() const{
return "TiedAutoencoder";
}
//! \brief Number of input neurons.
std::size_t inputSize()const{
return outputSize();
}
//! \brief Number of output neurons.
std::size_t outputSize()const{
return outputBias().size();
}
//! \brief Total number of hidden neurons.
std::size_t numberOfHiddenNeurons()const{
return encoderMatrix().size1();
}
/// \brief Returns the hidden bias weight vector.
RealVector const& hiddenBias()const{
return m_hiddenBias;
}
/// \brief Returns the hidden bias weight vector.
RealVector& hiddenBias(){
return m_hiddenBias;
}
/// \brief Returns the output bias weight vector.
RealVector const& outputBias()const{
return m_outputBias;
}
/// \brief Returns the output bias weight vector.
RealVector& outputBias(){
return m_outputBias;
}
/// \brief Weight matrix for the direction input->hidden.
RealMatrix const& encoderMatrix()const{
return m_weightMatrix;
}
/// \brief Weight matrix for the direction input->hidden.
RealMatrix& encoderMatrix(){
return m_weightMatrix;
}
/// \brief Weight matrix for the direction hidden->output
///
///For tied autoencoders, this is the transpose of the encoder matrix
blas::matrix_transpose<RealMatrix const> decoderMatrix()const{
return trans(m_weightMatrix);
}
/// \brief Weight matrix for the direction hidden->output
///
///For tied autoencoders, this is the transpose of the encoder matrix
blas::matrix_transpose<RealMatrix> decoderMatrix(){
return trans(m_weightMatrix);
}
//! \brief Returns the total number of parameters of the network.
std::size_t numberOfParameters()const{
return inputSize()*numberOfHiddenNeurons()+inputSize()+numberOfHiddenNeurons();
}
//! returns the vector of used parameters inside the weight matrix
RealVector parameterVector() const{
RealVector parameters(numberOfParameters());
init(parameters) << toVector(m_weightMatrix),m_hiddenBias,m_outputBias;
return parameters;
}
//! uses the values inside the parametervector to set the used values inside the weight matrix
void setParameterVector(RealVector const& newParameters){
SIZE_CHECK(newParameters.size() == numberOfParameters());
init(newParameters) >> toVector(m_weightMatrix),m_hiddenBias,m_outputBias;
}
/// \brief Returns the activation function of the hidden units.
HiddenNeuron const& hiddenActivationFunction()const{
return m_hiddenNeuron;
}
/// \brief Returns the activation function of the output units.
OutputNeuron const& outputActivationFunction()const{
return m_outputNeuron;
}
/// \brief Returns the activation function of the hidden units.
HiddenNeuron& hiddenActivationFunction(){
return m_hiddenNeuron;
}
/// \brief Returns the activation function of the output units.
OutputNeuron& outputActivationFunction(){
return m_outputNeuron;
}
//! \brief Returns the output of all neurons after the last call of eval
//!
//! \param state last result of eval
//! \return Output value of the neurons.
RealMatrix const& hiddenResponses(State const& state)const{
InternalState const& s = state.toState<InternalState>();
return s.hiddenResponses;
}
boost::shared_ptr<State> createState()const{
return boost::shared_ptr<State>(new InternalState());
}
void evalLayer(std::size_t layer,RealMatrix const& patterns,RealMatrix& outputs)const{
SIZE_CHECK(layer < 2);
std::size_t numPatterns = patterns.size1();
if(layer == 0){//input->hidden
SIZE_CHECK(patterns.size2() == encoderMatrix().size2());
std::size_t numOutputs = encoderMatrix().size1();
outputs.resize(numPatterns,numOutputs);
noalias(outputs) = prod(patterns,trans(encoderMatrix())) + repeat(hiddenBias(),numPatterns);
noalias(outputs) = m_hiddenNeuron(outputs);
}
else{//hidden->output
SIZE_CHECK(patterns.size2() == decoderMatrix().size2());
std::size_t numOutputs = decoderMatrix().size1();
outputs.resize(numPatterns,numOutputs);
noalias(outputs) = prod(patterns,trans(decoderMatrix())) + repeat(outputBias(),numPatterns);
noalias(outputs) = m_outputNeuron(outputs);
}
}
///\brief Returns the response of the i-th layer given the input of that layer.
///
/// this is usefull if only a portion of the network needs to be evaluated
/// be aware that this only works without shortcuts in the network
Data<RealVector> evalLayer(std::size_t layer, Data<RealVector> const& patterns)const{
SIZE_CHECK(layer < 2);
int batches = (int) patterns.numberOfBatches();
Data<RealVector> result(batches);
SHARK_PARALLEL_FOR(int i = 0; i < batches; ++i){
evalLayer(layer,patterns.batch(i),result.batch(i));
}
return result;
}
Data<RealVector> encode(Data<RealVector> const& patterns)const{
return evalLayer(0,patterns);
}
Data<RealVector> decode(Data<RealVector> const& patterns)const{
return evalLayer(1,patterns);
}
template<class Label>
LabeledData<RealVector,Label> encode(
LabeledData<RealVector,Label> const& data
)const{
return LabeledData<RealVector,Label>(encode(data.inputs()),data.labels());
}
template<class Label>
LabeledData<RealVector,Label> decode(
LabeledData<RealVector,Label> const& data
)const{
return LabeledData<RealVector,Label>(decode(data.inputs()),data.labels());
}
void eval(RealMatrix const& patterns,RealMatrix& output, State& state)const{
InternalState& s = state.toState<InternalState>();
evalLayer(0,patterns,s.hiddenResponses);//propagate input->hidden
evalLayer(1,s.hiddenResponses,s.outputResponses);//propagate hidden->output
output = s.outputResponses;
}
using AbstractModel<RealVector,RealVector>::eval;
void weightedParameterDerivative(
BatchInputType const& patterns, RealMatrix const& coefficients, State const& state, RealVector& gradient
)const{
SIZE_CHECK(coefficients.size2() == outputSize());
SIZE_CHECK(coefficients.size1() == patterns.size1());
RealMatrix outputDelta = coefficients;
RealMatrix hiddenDelta;
computeDelta(state,outputDelta,hiddenDelta);
computeParameterDerivative(patterns,outputDelta,hiddenDelta,state,gradient);
}
void weightedInputDerivative(
BatchInputType const& patterns, RealMatrix const& coefficients, State const& state, BatchInputType& inputDerivative
)const{
SIZE_CHECK(coefficients.size2() == outputSize());
SIZE_CHECK(coefficients.size1() == patterns.size1());
RealMatrix outputDelta = coefficients;
RealMatrix hiddenDelta;
computeDelta(state,outputDelta,hiddenDelta,inputDerivative);
}
virtual void weightedDerivatives(
BatchInputType const & patterns,
BatchOutputType const & coefficients,
State const& state,
RealVector& parameterDerivative,
BatchInputType& inputDerivative
)const{
SIZE_CHECK(coefficients.size2() == outputSize());
SIZE_CHECK(coefficients.size1() == patterns.size1());
RealMatrix outputDelta = coefficients;
RealMatrix hiddenDelta;
computeDelta(state,outputDelta,hiddenDelta,inputDerivative);
computeParameterDerivative(patterns,outputDelta,hiddenDelta,state,parameterDerivative);
}
void setStructure(
std::size_t in,std::size_t hidden
){
m_weightMatrix.resize(hidden,in);
m_hiddenBias.resize(hidden);
m_outputBias.resize(in);
}
//! From ISerializable, reads a model from an archive
void read( InArchive & archive ){
archive>>m_weightMatrix;
archive>>m_hiddenBias;
archive>>m_outputBias;
}
//! From ISerializable, writes a model to an archive
void write( OutArchive & archive ) const{
archive<<m_weightMatrix;
archive<<m_hiddenBias;
archive<<m_outputBias;
}
private:
void computeDelta(
State const& state, RealMatrix& outputDelta, RealMatrix& hiddenDelta
)const{
InternalState const& s = state.toState<InternalState>();
noalias(outputDelta) *= m_outputNeuron.derivative(s.outputResponses);
hiddenDelta.resize(outputDelta.size1(),numberOfHiddenNeurons());
noalias(hiddenDelta) = prod(outputDelta,decoderMatrix());
noalias(hiddenDelta) *= m_hiddenNeuron.derivative(s.hiddenResponses);
}
void computeDelta(
State const& state, RealMatrix& outputDelta, RealMatrix& hiddenDelta, RealMatrix& inputDelta
)const{
computeDelta(state,outputDelta,hiddenDelta);
inputDelta.resize(outputDelta.size1(),inputSize());
noalias(inputDelta) = prod(hiddenDelta,encoderMatrix());
}
void computeParameterDerivative(
RealMatrix const& patterns, RealMatrix const& outputDelta, RealMatrix const& hiddenDelta,
State const& state, RealVector& gradient
)const{
InternalState const& s = state.toState<InternalState>();
std::size_t hiddenParams = inputSize()*numberOfHiddenNeurons();
std::size_t numHidden = numberOfHiddenNeurons();
gradient.resize(numberOfParameters());
gradient.clear();
axpy_prod(
trans(s.hiddenResponses),
outputDelta,
to_matrix(subrange(gradient,0,hiddenParams),numHidden,inputSize()),false
);
axpy_prod(
trans(hiddenDelta),
patterns,
to_matrix(subrange(gradient,0,hiddenParams),numHidden,inputSize()),false
);
std::size_t hiddenBiasPos = hiddenParams;
std::size_t outputBiasPos = hiddenBiasPos+numHidden;
subrange(gradient,hiddenBiasPos,outputBiasPos) = sum_rows(hiddenDelta);
subrange(gradient,outputBiasPos,outputBiasPos+inputSize()) = sum_rows(outputDelta);
}
//! weight matrix between input and hidden layer. the transpose of this is used to connect hidden->output.
RealMatrix m_weightMatrix;
//! bias weights of the hidden neurons
RealVector m_hiddenBias;
//! bias weights of the visible neurons
RealVector m_outputBias;
//!Type of hidden neuron. See Models/Neurons.h for a few choices
HiddenNeuron m_hiddenNeuron;
//! Type of output neuron. See Models/Neurons.h for a few choices
OutputNeuron m_outputNeuron;
};
}
#endif
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