initSA: Initialisation of SA's

In SAutomata: Inference and Learning in Stochastic Automata

Description

This function initialises a general discrete time and discrete space Stochastic Automata(SA). A SA consists of an alphabet of states, input and output symbols. The SA is designed to make inference on the states through the observation of input symbols on output symbols. The stochastics of the SA is fully described by the set of states, input and output symbols and the conditional probablities (i.e. state transition probablity and output symbols emission probablity by inputs symbols on state set).

Usage

initSA(states,inputSymbols,outputSymbols,emissionProb,transitionProb)

Arguments

states	Vector with names of states.
inputSymbols	Vector with names of input Symbols.
outputSymbols	Vector with names of output Symbols.
emissionProb	Stochastic matrix containing emission probablities of output symbols between states and input symbols.
transitionProb	Stochastic matrix containing probablities between states.

Details

The column sum of transitionProb and emissionProb must be equal to 1. Otherwise this function generates an error message.

Value

This function initSA returns an SA that consists of a list of 5 elements:

States	Vector with names of states.
inputSymbols	Vector with names of input Symbols.
outputSymbols	Vector with names of output Symbols.
outputSymbols	Vector with names of output Symbols.
emissionProb	Annotated matrix containing emission probablities of output symbols between states and input symbols.
transitionProb	Annotated matrix containing probablities between states.

Author(s)

Rehman Ahmad <[e-mail]>

Examples

states<-c('s1','s2')
inputSymbols<-c('a','b')
outputSymbols<-c(0,1)
transProb<-matrix(c(0.70,0.50, 0.30,0.50), nrow = 2, ncol = 2,byrow = TRUE)
emissionProb<-matrix(c(0.50,0.30, 0.40,0.60,.50,.70,.60,.40), nrow = 2, ncol = 4, byrow = TRUE)
initsa<-initSA(states,inputSymbols,outputSymbols,emissionProb,transProb)

SAutomata documentation built on May 2, 2019, 1:46 p.m.