#include <libs/GeomLib/NumericalMasterEquation.hpp>

Inheritance diagram for GeomLib::NumericalMasterEquation< Estimator >:

Collaboration diagram for GeomLib::NumericalMasterEquation< Estimator >:

Public Member Functions
	NumericalMasterEquation (AbstractOdeSystem &, const DiffusionParameter &, const CurrentCompensationParameter &)

virtual	~NumericalMasterEquation ()

virtual void	apply (MPILib::Time)

virtual Rate	getTransitionRate () const

Rate	IntegralRate () const

virtual void	sortConnectionVector (const std::vector< MPILib::Rate > &, const std::vector< MPILib::DelayedConnection > &, const std::vector< MPILib::NodeType > &)

Private Member Functions
	NumericalMasterEquation (const NumericalMasterEquation &)

Density	Checksum () const

void	InitializeIntegrator ()

NumericalMasterEquation &	operator= (const NumericalMasterEquation &)

Density	RecaptureProbability ()

Private Attributes
CNZLCache< Estimator >	_cache

GeomInputConvertor	_convertor

Estimator	_estimator

ExStateDVIntegrator< MasterParameter< Estimator > >	_integrator

const CurrentCompensationParameter	_par_current

const DiffusionParameter	_par_diffusion

ProbabilityQueue	_queue

Rate	_rate

vector< Density >	_scratch_dense

vector< Potential >	_scratch_pot

AbstractOdeSystem &	_system

Time	_time_current

Static Private Attributes
static Number	_max_iteration

Detailed Description

template<class Estimator = BinEstimator>
class GeomLib::NumericalMasterEquation< Estimator >

Solves the Poisson Master equation on the probability mass bins.

The Poisson master equation is determined by the combination of synaptic efficacy h and potential grid. Transitions occur away from this bin and probability enters from density a step h away. We calculate a transition matrix by translating the current bin and finding out which bins it covers. The system of equations that is described in http://arxiv.org/abs/1309.1654 is then set up and solved.

Definition at line 54 of file NumericalMasterEquation.hpp.

Constructor & Destructor Documentation

template<class Estimator >

NumericalMasterEquation::NumericalMasterEquation	(	AbstractOdeSystem &	system,
		const DiffusionParameter &	par_diffusion,
		const CurrentCompensationParameter &	par_current
	)

Parameters

system	OdeSystem defining the geometric grid
par_diffusion	Parameters that determine whether to use single or double input in Gaussian white noise approximation.
par_current	If current compensation is to be used, these are the values.

Definition at line 170 of file NumericalMasterEquationCode.hpp.

template<class Estimator >

NumericalMasterEquation::~NumericalMasterEquation ( )

virtual

Destructor.

Definition at line 208 of file NumericalMasterEquationCode.hpp.

template<class Estimator = BinEstimator>

GeomLib::NumericalMasterEquation< Estimator >::NumericalMasterEquation ( const NumericalMasterEquation< Estimator > & )

private

Member Function Documentation

template<class Estimator >

void NumericalMasterEquation::apply ( MPILib::Time t )

virtual

Apply the master equations over a period of time.

Implements GeomLib::AbstractMasterEquation.

Definition at line 246 of file NumericalMasterEquationCode.hpp.

References MPILib::populist::StampedProbability::_prob, and MPILib::populist::StampedProbability::_time.

template<class Estimator >

Density NumericalMasterEquation::Checksum ( ) const

private

Definition at line 329 of file NumericalMasterEquationCode.hpp.

template<class Estimator >

Rate NumericalMasterEquation::getTransitionRate ( ) const

virtual

Reimplemented from GeomLib::AbstractMasterEquation.

Definition at line 281 of file NumericalMasterEquationCode.hpp.

template<class Estimator >

void NumericalMasterEquation::InitializeIntegrator ( )

private

Definition at line 225 of file NumericalMasterEquationCode.hpp.

template<class Estimator >

Rate NumericalMasterEquation::IntegralRate ( ) const

Definition at line 287 of file NumericalMasterEquationCode.hpp.

References i.

template<class Estimator = BinEstimator>

NumericalMasterEquation& GeomLib::NumericalMasterEquation< Estimator >::operator= ( const NumericalMasterEquation< Estimator > & )

private

template<class Estimator >

double NumericalMasterEquation::RecaptureProbability ( )

private

Definition at line 236 of file NumericalMasterEquationCode.hpp.

template<class Estimator >

void NumericalMasterEquation::sortConnectionVector	(	const std::vector< MPILib::Rate > &	vec_rates,
		const std::vector< MPILib::DelayedConnection > &	vec_cons,
		const std::vector< MPILib::NodeType > &	vec_types
	)