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math.OC2026
On randomized batch-sampling coordinate descent methods for solving linear least-squares problems
Dong-Yue Xie, Xi Yang
This paper refines randomized block coordinate descent by introducing a coordinate-level batch-sampling distribution characterization, yielding a fine-grained randomized batch-samp…
math.NA2026
Sequential Preconditioned Conjugate Gradient Method for Linear Statistical Models
Guan-Yu Chen, Dong-Yue Xie, Xi Yang +1
We propose a randomized iterative method for the ordinary least-squares estimation problem in large-scale linear statistical models, namely the Sequential Preconditioned Conjugate…