bayesbay.perturbations.BirthPerturbation

class bayesbay.perturbations.BirthPerturbation(parameter_space)

Perturbation by creating a new dimension

Parameters:: parameter_space (ParameterSpace) – instance of bayesbay.parameterization.ParameterSpace

Reference Details

type of current perturbation (i.e. class name)

Returns:: the name of this current class
Return type:: str

perturb(state)

proposes a new state by adding a dimension to the given parameter space (self.param_space) and calculates the log of the corresponding partial acceptance probability

\[\begin{split}\underbrace{\alpha_{p}}_{\begin{array}{c} \text{Partial} \\ \text{acceptance} \\ \text{probability} \end{array}} = \underbrace{\frac{p\left({\bf m'}\right)}{p\left({\bf m}\right)}}_{\text{Prior ratio}} \underbrace{\frac{q\left({\bf m} \mid {\bf m'}\right)}{q\left({\bf m'} \mid {\bf m}\right)}}_{\text{Proposal ratio}} \underbrace{\lvert \mathbf{J} \rvert}_{\begin{array}{c} \text{Jacobian} \\ \text{determinant} \end{array}},\end{split}\]

where \({\bf d}_{obs}\) denotes the observed data and \(\mathbf{J}\) the Jacobian of the transformation.

Parameters:: state (State) – the given current state
Returns:: the proposed new state and \(\alpha_{p} = \log( \frac{p({\bf m'})}{p({\bf m})} \frac{q\left({\bf m} \mid {\bf m'}\right)}{q\left({\bf m'} \mid {\bf m}\right)} \lvert \mathbf{J} \rvert)\)
Return type:: Tuple[State, Number]

perturb_param_space_state(ps_state)

proposes a new parameter space state from the given state and calculates the log of the corresponding partial acceptance probability

Parameters:: state (ParameterSpaceState) – the given current parameter space state
Returns:: the proposed new parameter space state and the partial acceptance probability
Return type:: Tuple[State, Number]

__call__(state)

same as perturb()

Parameters:: state (State) – the given current state
Returns:: proposed new state and the partial acceptance probability excluding log likelihood ratio for this perturbation
Return type:: Tuple[State, Number]

back to top