17 research outputs found
A correlation clustering approach to link classification in signed networks
Motivated by social balance theory, we develop a theory of link classification in signed networks using the correlation clustering index as measure of label regularity. We derive learning bounds in terms of correlation clustering within three fundamental transductive learning settings: online, batch and active. Our main algorithmic contribution is in the active setting, where we introduce a new family of efficient link classifiers based on covering the input graph with small circuits. These are the first active algorithms for link classification with mistake bounds that hold for arbitrary signed networks
On the Troll-Trust Model for Edge Sign Prediction in Social Networks
In the problem of edge sign prediction, we are given a directed graph
(representing a social network), and our task is to predict the binary labels
of the edges (i.e., the positive or negative nature of the social
relationships). Many successful heuristics for this problem are based on the
troll-trust features, estimating at each node the fraction of outgoing and
incoming positive/negative edges. We show that these heuristics can be
understood, and rigorously analyzed, as approximators to the Bayes optimal
classifier for a simple probabilistic model of the edge labels. We then show
that the maximum likelihood estimator for this model approximately corresponds
to the predictions of a Label Propagation algorithm run on a transformed
version of the original social graph. Extensive experiments on a number of
real-world datasets show that this algorithm is competitive against
state-of-the-art classifiers in terms of both accuracy and scalability.
Finally, we show that troll-trust features can also be used to derive online
learning algorithms which have theoretical guarantees even when edges are
adversarially labeled.Comment: v5: accepted to AISTATS 201
Correlation Clustering with Adaptive Similarity Queries
In correlation clustering, we are givennobjects together with a binary similarityscore between each pair of them. The goal is to partition the objects into clustersso to minimise the disagreements with the scores. In this work we investigatecorrelation clustering as an active learning problem: each similarity score can belearned by making a query, and the goal is to minimise both the disagreementsand the total number of queries. On the one hand, we describe simple activelearning algorithms, which provably achieve an almost optimal trade-off whilegiving cluster recovery guarantees, and we test them on different datasets. On theother hand, we prove information-theoretical bounds on the number of queriesnecessary to guarantee a prescribed disagreement bound. These results give a richcharacterization of the trade-off between queries and clustering error
Correlation Clustering with Adaptive Similarity Queries
In correlation clustering, we are given objects together with a binary
similarity score between each pair of them. The goal is to partition the
objects into clusters so to minimise the disagreements with the scores. In this
work we investigate correlation clustering as an active learning problem: each
similarity score can be learned by making a query, and the goal is to minimise
both the disagreements and the total number of queries. On the one hand, we
describe simple active learning algorithms, which provably achieve an almost
optimal trade-off while giving cluster recovery guarantees, and we test them on
different datasets. On the other hand, we prove information-theoretical bounds
on the number of queries necessary to guarantee a prescribed disagreement
bound. These results give a rich characterization of the trade-off between
queries and clustering error