Timeline Shuffling#
Timeline shuffling#
 microcanonical_reference_models.timeline_shuffling(temporal_network, random_state)#
Produces a random shuffling of the temporal network where the events are shuffled by assigning new, uniformly random timetamps and moving it to a randomly selected link with a nonempty timeline. Equivalent to the micocanonical reference model with the canonical name \(P[\mathcal{L}, E]\).
The set of vertices, total number of events and the static projection of the temporal network are conserved.
Weightconstrained timeline shuffling#
 microcanonical_reference_models.timeline_shuffling(temporal_network, random_state)
 microcanonical_reference_models.timeline_shuffling(temporal_network, random_state, t_start, t_end)#

template<temporal_edge EdgeT, std::uniform_random_bit_generator Gen>
requires is_dyadic_v<EdgeT>
network<EdgeT> microcanonical_reference_models::timeline_shuffling(const network<EdgeT> &temp, Gen &generator)
Produces a random shuffling of the temporal network where the events are
shuffled by assigning new, uniformly random timetamps without changing the
static projection link (the vertices) each event is attributed to. Equivalent
to micocanonical reference model with the canonical name \(P[\mathbf{w}]\).
The observation window, the window where the original measurement of the
temporal network was made, is passed through parameters t_start
and
t_end
.
Alternatively, another variant of the function exist that uses the minimum and
maximum cause time of all the events to automatically set values for parameters
t_start
and t_end
, for cases where information about observation
window is not available.
The set of vertices, cardinality of each timeline and the static projection of the temporal network are conserved.
Activityconstrained timeline shuffling#
 microcanonical_reference_models.activity_constrained_timeline_shuffling(temporal_network, random_state)#
Produces a random shuffling of the temporal network where the events are shuffled by assigning new, uniformly random timetamps without changing the static projection link (the vertices) each event is attributed to. The new timestamps are selected uniformly at random from first cause time to the last cause time (inclusive) of each timeline. Equivalent to micocanonical reference model with the canonical name \(P[\mathbf{w}, \mathbf{t}^1, \mathbf{t}^w]\).
The set of vertices, cardinality of each timeline and the static projection of the temporal network are conserved.
Interevent shuffling#
 microcanonical_reference_models.inter_event_shuffling(temporal_network, random_state)#
Produces a random shuffling of the temporal network where the events are shuffled by shuffling the interevent times between them, without changing the static projection link (the vertices) each event is attributed to or the ordering of events in each timeline. Equivalent to micocanonical reference model with the canonical name \(P[\mathbf{\pi}_\mathcal{L}(\mathbf{\delta \tau}), \mathbf{t}^1]\). The set of vertices, cardinality of each timeline, the set of interevent times in each timeline and the static projection of the temporal network are conserved.