initialPoints {noisySBM}

compute a list of initial points for the VEM algorithm

Description

compute a list of initial points of tau and rhofor the VEM algorithm for a given number of blocks; returns nbOfTau*nbOfPointsPerTau inital points

Usage

initialPoints(
  Q,
  dataMatrix,
  nbOfTau,
  nbOfPointsPerTau,
  modelFamily,
  model,
  directed
)

Arguments

Q

number of latent blocks in the noisy stochastic block model

dataMatrix

observed dense adjacency matrix

nbOfTau

number of initializations for the latent block memberships

nbOfPointsPerTau

number of initializations of the latent binary graph associated with each initial latent block memberships

modelFamily

probability distribution for the edges. Possible values: Gauss, Gamma

model

Implemented models:

Gauss

all Gaussian parameters of the null and the alternative distributions are unknown ; this is the Gaussian model with maximum number of unknown parameters

Gauss0

compared to Gauss, the mean of the null distribution is set to 0

Gauss01

compared to Gauss, the null distribution is set to N(0,1)

GaussEqVar

compared to Gauss, all Gaussian variances (of both the null and the alternative) are supposed to be equal, but unknown

Gauss0EqVar

compared to GaussEqVar, the mean of the null distribution is set to 0

Gauss0Var1

compared to Gauss, all Gaussian variances are set to 1 and the null distribution is set to N(0,1)

Gauss2distr

the alternative distribution is a single Gaussian distribution, i.e. the block memberships of the nodes do not influence on the alternative distribution

GaussAffil

compared to Gauss, for the alternative distribution, there's a distribution for inter-group and another for intra-group interactions

Exp

the null and the alternatives are all exponential distributions (i.e. Gamma distributions with shape parameter equal to one) with unknown scale parameters

ExpGamma

the null distribution is an unknown exponential, the alterantive distribution are Gamma distributions with unknown parameters

directed

booelan to indicate whether the model is directed or undirected

Value

list of inital points of tau and rho of length nbOfTau*nbOfPointsPerTau