On-line learning gossip algorithm in multi-agent systems with local decision rules

This paper is devoted to investigate binary classification in a distributed and on-line setting. In the Big Data era, datasets can be so large that it may be impossible to process them using a single processor. The framework considered accounts for situations where both the training and test phases have to be performed by taking advantage of a network architecture by the means of local computations and exchange of limited information between neighbor nodes. An online learning gossip algorithm (OLGA) is introduced, together with a variant which implements a node selection procedure. Beyond a discussion of the practical advantages of the algorithm we promote, the paper proposes an asymptotic analysis of the accuracy of the rules it produces, together with preliminary experimental results.