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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This paper explores the integration of mini-batch, randomized block CCD, and variance reduction for regularized empirical risk minimization problem. The major two problems the author target is variance reduction and the incremental proximal point problems when dealing with empirical and expected risk function. This method aims to show advantage over a recently proposed method, SPVRG. Quality: The experiments seem not enough.