# bdm::BM Class Reference

Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities. More...

## Detailed Description

Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.

This object represents exact or approximate evaluation of the Bayes rule:

Access to the resulting posterior density is via function `posterior()`.

As a "side-effect" it also evaluates log-likelihood of the data, which can be accessed via function _ll(). It can also evaluate predictors of future values of , see functions epredictor() and predictor().

Alternatively, it can evaluate posterior density conditioned by a known constant, :

The value of is set by function condition().

`#include <bdmbase.h>`

List of all members.

## Public Member Functions
void | from_setting (const Setting &set)
| This method arrange instance properties according the data stored in the Setting structure.
virtual string | to_string ()
| This method returns a basic info about the current instance.
virtual void | to_setting (Setting &set) const
| This method save all the instance properties into the Setting structure.
virtual void | validate ()
| This method TODO.
Constructors
| BM ()
| BM (const BM &B)
virtual BM * | _copy_ () const
Mathematical operations
virtual void | bayes (const vec &dt)=0
| Incremental Bayes rule.
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 epdf * | epredictor () const
| Constructs a predictive density .
virtual mpdf * | predictor () const
| Constructs conditional density of 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)
virtual const epdf & | posterior () const =0
## Protected Attributes
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
RV | rvc
| Name of extension variable.
const RV & | _rvc () const
| access function
virtual void | condition (const vec &val)
| Substitute `val` for `rvc`.
## Logging of results
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.
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)

## Member Function Documentation

virtual BM* bdm::BM::_copy_ | ( |  | ) | const`[inline, virtual]`

Copy function required in vectors, Arrays of BM etc. Have to be DELETED manually! Prototype:

     BM* _copy_() const {return new BM(*this);}

Reimplemented in bdm::ARX, bdm::ARXfrg, bdm::KalmanCh, bdm::EKFCh, and bdm::BMEF.

virtual void bdm::BM::bayes | ( | const vec & | dt | ) | `[pure virtual]`

Incremental Bayes rule.

Parameters:

  | dt | vector of input data

Implemented in bdm::ARX, bdm::KalmanFull, bdm::KalmanCh, bdm::EKFfull, bdm::EKFCh, bdm::MultiModel, bdm::MixEF, bdm::PF, bdm::MPF, bdm::mexBM, bdm::BMEF, and bdm::multiBM.

Referenced by bayesB().

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

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.

References bdm_error.

Referenced by logpred_m().

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

- bdmbase.h
- bdmbase.cpp