Parallelization with Multiplicative Algorithms for Big Data Mining

We propose a nontrivial strategy to parallelize a series of data mining and machine learning problems, including 1-class and 2-class support vector machines, nonnegative least square problems, and $ell_1$ regularized regression (LASSO) problems. Our strategy fortunately leads to extremely simple multiplicative algorithms which can be straightforwardly implemented in parallel computational environments, such as Map Reduce, or CUDA. We provide rigorous analysis of the correctness and convergence of the algorithm. We demonstrate the scalability and accuracy of our algorithms in comparison with other current leading algorithms.