11,387 research outputs found
The Block Point Process Model for Continuous-Time Event-Based Dynamic Networks
We consider the problem of analyzing timestamped relational events between a
set of entities, such as messages between users of an on-line social network.
Such data are often analyzed using static or discrete-time network models,
which discard a significant amount of information by aggregating events over
time to form network snapshots. In this paper, we introduce a block point
process model (BPPM) for continuous-time event-based dynamic networks. The BPPM
is inspired by the well-known stochastic block model (SBM) for static networks.
We show that networks generated by the BPPM follow an SBM in the limit of a
growing number of nodes. We use this property to develop principled and
efficient local search and variational inference procedures initialized by
regularized spectral clustering. We fit BPPMs with exponential Hawkes processes
to analyze several real network data sets, including a Facebook wall post
network with over 3,500 nodes and 130,000 events.Comment: To appear at The Web Conference 201
Modeling sequences and temporal networks with dynamic community structures
In evolving complex systems such as air traffic and social organizations,
collective effects emerge from their many components' dynamic interactions.
While the dynamic interactions can be represented by temporal networks with
nodes and links that change over time, they remain highly complex. It is
therefore often necessary to use methods that extract the temporal networks'
large-scale dynamic community structure. However, such methods are subject to
overfitting or suffer from effects of arbitrary, a priori imposed timescales,
which should instead be extracted from data. Here we simultaneously address
both problems and develop a principled data-driven method that determines
relevant timescales and identifies patterns of dynamics that take place on
networks as well as shape the networks themselves. We base our method on an
arbitrary-order Markov chain model with community structure, and develop a
nonparametric Bayesian inference framework that identifies the simplest such
model that can explain temporal interaction data.Comment: 15 Pages, 6 figures, 2 table
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