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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The paper proposes a new regression method, namely calibrated multivariate regression (CMR), for high dimensional data analysis. Besides proposing the CMR formulation, the paper focuses on (1) using a smoothed proximal gradient method to compute CMR's optimal solutions; (2) analyzing CMR' statical properties. One key contribution of the paper lies in the introduction of this CMR formulation; its loss term can be interpreted as calibrating each regression task's loss term with respect to its noise level. I am wondering whether there is any more intuitive interpretation behind the use of the noise level for calibration?