Description Usage Arguments Details Value References See Also Examples

This function performs an heuristic model search, to select which type of sender and receiver effects should be included in the model. The sender/receiver effects can be either absent, constant or variable.

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`Y` |
A three-dimensional array or list of |

`D` |
The dimension of the latent space, with |

`nrep` |
The number of datasets to be simulated for each model type. By default |

The function performs an heuristic model search for the type of sender/receiver effects to be included in the model for the multidimensional network `Y`

with *n* nodes and *K* networks.

The function simulates `nrep`

different multidimensional networks of dimensions *(n, K)* from the nine models arising from different combinations of sender/receiver effects: `"NN"`

, `"CN"`

, `"NC"`

, `"CC"`

, `"VN"`

, `"NV"`

, `"VC"`

, `"CV"`

, `"VV"`

. The first letter indicates the sender effect type, while the second letter denotes the receiver effect type. The effects can be constrained across the networks, with `"N"`

indicating no effects, `"C"`

constant effects and `"V"`

variable effects. The simulated multidimensional networks are then used to train a classifier, which is employed to assign the observed multiplex `Y`

to the most plausible node-specific effect model.

The function returns a list containing the following objects:

`bestModel`

The selected combination of sender and receiver effects.`modelProbs`

The estimated probabilities that`Y`

has been generated by the models corresponding to all the sender/receiver effects combinations.`modClass`

The model-specific accuracies of the classifier. Rows correspond to the predicted model, while columns to the model the simualted data have been generated from.

D'Angelo, S. and Murphy, T. B. and Alf<c3><b2>, M. (2018). Latent space modeling of multidimensional networks with application to the exchange of votes in the Eurovision Song Contest. arXiv.

D'Angelo, S. and Alf<c3><b2>, M. and Murphy, T. B. (2018). Node-specific effects in latent space modelling of multidimensional networks. arXiv.

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