arxivcs.LGcs.ITmath.NA2026-07-21
Contraction-Gauge Preconditioning for Quantized Matrix Multiplication
Piyush Sao, Narasinga Miniskar, Pedro Valero-Lara, Keita Teranishi, Sudip Seal
We study low-precision computation of C=AB with both factors quantized. We derive an exact finite-dimensional identity for the expected squared product error under independent, zero-mean entrywise errors with known variance fields; it holds exactly for non-overloading subtractive…