bdm::EKF< sq_T > Class Template Reference

Extended Kalman Filter. More...

#include <kalman.h>

List of all members.

Public Member Functions

 EKF (RV rvx, RV rvy, RV rvu)
 Default constructor.
EKF< sq_T > * _copy_ () const
 copy constructor
void set_parameters (diffbifn *pfxu, diffbifn *phxu, const sq_T Q0, const sq_T R0)
 Set nonlinear functions for mean values and covariance matrices.
void bayes (const vec &dt)
 Here dt = [yt;ut] of appropriate dimensions.
void set_parameters (const mat &A0, const mat &B0, const mat &C0, const mat &D0, const fsqmat &Q0, const fsqmat &R0)
 Set parameters with check of relevance.
void set_est (const vec &mu0, const fsqmat &P0)
 Set estimate values, used e.g. in initialization.
const epdfposterior () const
 access function
const enorm< fsqmat > * _e () const
mat & __K ()
 access function
vec _dP ()
 access function
virtual string to_string ()
 This method returns a basic info about the current instance.
virtual void from_setting (const Setting &set)
 This method arrange instance properties according the data stored in the Setting structure.
virtual void to_setting (Setting &set) const
 This method save all the instance properties into the Setting structure.
virtual void validate ()
 This method TODO.
Mathematical operations
virtual void bayesB (const mat &Dt)
 Batch Bayes rule (columns of Dt are observations).
virtual double logpred (const vec &dt) const
vec logpred_m (const mat &dt) const
 Matrix version of logpred.
virtual epdfepredictor () const
 Constructs a predictive density $ f(d_{t+1} |d_{t}, \ldots d_{0}) $.
virtual mpdfpredictor () const
 Constructs a conditional density 1-step ahead predictor.
Access to attributes
const RV_drv () const
void set_drv (const RV &rv)
void set_rv (const RV &rv)
double _ll () const
void set_evalll (bool evl0)

Protected Attributes

RV rvy
 Indetifier of output rv.
RV rvu
 Indetifier of exogeneous rv.
int dimx
 cache of rv.count()
int dimy
 cache of rvy.count()
int dimu
 cache of rvu.count()
mat A
 Matrix A.
mat B
 Matrix B.
mat C
 Matrix C.
mat D
 Matrix D.
fsqmat Q
 Matrix Q in square-root form.
fsqmat R
 Matrix R in square-root form.
enorm< fsqmatest
 posterior density on $x_t$
enorm< fsqmatfy
 preditive density on $y_t$
mat _K
 placeholder for Kalman gain
vec & _yp
 cache of fy.mu
fsqmat_Ry
 cache of fy.R
vec & _mu
 cache of est.mu
fsqmat_P
 cache of est.R
RV drv
 Random variable of the data (optional).
double ll
 Logarithm of marginalized data likelihood.
bool evalll
 If true, the filter will compute likelihood of the data record and store it in ll . Set to false if you want to save computational time.

Extension to conditional BM

This extension is useful e.g. in Marginalized Particle Filter (bdm::MPF). Alternatively, it can be used for automated connection to DS when the condition is observed

const RV_rvc () const
 access function
virtual void condition (const vec &val)
 Substitute val for rvc.
RV rvc
 Name of extension variable.

Logging of results

virtual void set_options (const string &opt)
 Set boolean options from a string, recognized are: "logbounds,logll".
virtual void log_add (logger &L, const string &name="")
 Add all logged variables to a logger.
virtual void logit (logger &L)
ivec LIDs
 IDs of storages in loggers 4:[1=mean,2=lb,3=ub,4=ll].
ivec LFlags
 Flags for logging - same size as LIDs, each entry correspond to the same in LIDs.


Detailed Description

template<class sq_T>
class bdm::EKF< sq_T >

Extended Kalman Filter.

An approximation of the exact Bayesian filter with Gaussian noices and non-linear evolutions of their mean.


Member Function Documentation

virtual double bdm::BM::logpred ( const vec &  dt  )  const [inline, virtual, inherited]

Evaluates predictive log-likelihood of the given data record I.e. marginal likelihood of the data with the posterior integrated out.

Reimplemented in bdm::ARX, bdm::MixEF, and bdm::multiBM.

Referenced by bdm::BM::logpred_m().


The documentation for this class was generated from the following file:

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