Here is a Randomized Numerical Linear Algebra (RandNLA) paper of note. For some context, the Fast Cauchy Transform (FCT) is an l_1-based analog of the fast Johnson-Lindenstrauss transform (FJLT), in particular the paper addressed the generalization of the Multiple l_1 Regression.
The Fast Cauchy Transform and Faster Robust Linear Regression by Kenneth L. Clarkson, Petros Drineas, Malik Magdon-Ismail, Michael W. Mahoney, Xiangrui Meng, David P. Woodruff (the attendant
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