CA-SVM : Communication-Avoiding Support Vector Machines on Clusters

We consider the problem of how to design and implement communication-efficient versions of parallel support vector machines, a widely used classifier in statistical machine learning, for distributed memory clusters and supercomputers. The main computational bottleneck is the training phase, in which a statistical model is built from an input data set. Prior to our study, the parallel isoefficiency of a state-of-the-art implementation scaled as W = Ω(P ), where W is the problem size and P the number of processors; this scaling is worse than even an one-dimensional block row dense matrix vector multiplication, which has W = Ω(P ). This study considers a series of algorithmic refinements, leading ultimately to a Communication-Avoiding SVM (CASVM) method that improves the isoefficiency to nearly W = Ω(P ). We evaluate these methods on 96 to 1536 processors, and show average speedups of 3 − 16× (7× on average) over Dis-SMO, and a 95% weak-scaling efficiency on six realworld datasets, with only modest losses in overall classification accuracy. The source code can be downloaded at [1]. Keywords-distributed memory algorithms; communicationavoidance; statistical machine learning