This note revisits the convergence of the Parikh--Boyd two-way block-splitting algorithm for large-scale distributed learning through the He--Yuan prediction--correction framework and clarifies which algebraic initialization conditions allow the reduced implementation to inherit the full-space convergence and complexit...
The proposed heterogeneity-calibrated robust robust CQR (HC-RCQR) profiles local intercepts and calibrates scores using an approximate inverse profile Hessian, and establishes conditional contraction and support-recovery guarantees under suitable conditions.
A data-driven elastic-net support vector machine is proposed that learns simplex-constrained weights over candidate pinball losses while retaining one classifier, and a column-partitioned variable-splitting solver is developed.
A distributed stochastic smoothing alternating direction method of multipliers (DSS-ADMM) for horizontally partitioned penalized quantile regression, which characterize the scope of an extension to the minimax concave penalty and the smoothly clipped absolute deviation penalty.
Rongmei Liang, Xiao-Fei Wu· 0 citations
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