138,833 research outputs found
Predicting links in ego-networks using temporal information
Link prediction appears as a central problem of network science, as it calls
for unfolding the mechanisms that govern the micro-dynamics of the network. In
this work, we are interested in ego-networks, that is the mere information of
interactions of a node to its neighbors, in the context of social
relationships. As the structural information is very poor, we rely on another
source of information to predict links among egos' neighbors: the timing of
interactions. We define several features to capture different kinds of temporal
information and apply machine learning methods to combine these various
features and improve the quality of the prediction. We demonstrate the
efficiency of this temporal approach on a cellphone interaction dataset,
pointing out features which prove themselves to perform well in this context,
in particular the temporal profile of interactions and elapsed time between
contacts.Comment: submitted to EPJ Data Scienc
The Statistical Performance of Collaborative Inference
The statistical analysis of massive and complex data sets will require the
development of algorithms that depend on distributed computing and
collaborative inference. Inspired by this, we propose a collaborative framework
that aims to estimate the unknown mean of a random variable . In
the model we present, a certain number of calculation units, distributed across
a communication network represented by a graph, participate in the estimation
of by sequentially receiving independent data from while
exchanging messages via a stochastic matrix defined over the graph. We give
precise conditions on the matrix under which the statistical precision of
the individual units is comparable to that of a (gold standard) virtual
centralized estimate, even though each unit does not have access to all of the
data. We show in particular the fundamental role played by both the non-trivial
eigenvalues of and the Ramanujan class of expander graphs, which provide
remarkable performance for moderate algorithmic cost
Expander Graph and Communication-Efficient Decentralized Optimization
In this paper, we discuss how to design the graph topology to reduce the
communication complexity of certain algorithms for decentralized optimization.
Our goal is to minimize the total communication needed to achieve a prescribed
accuracy. We discover that the so-called expander graphs are near-optimal
choices. We propose three approaches to construct expander graphs for different
numbers of nodes and node degrees. Our numerical results show that the
performance of decentralized optimization is significantly better on expander
graphs than other regular graphs.Comment: 2016 IEEE Asilomar Conference on Signals, Systems, and Computer
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