3 papers
math.OC2025
Asymptotic Efficiency Analysis of the Recursive Least-Squares Algorithm for ARX Systems Without Projection
Xingrui Liu, Jieming Ke, Yanlong Zhao
This paper investigates the optimality analysis of the recursive least-squares (RLS) algorithm for autoregressive systems with exogenous inputs (ARX systems). A key challenge in an…
math.OC2025
A Unified Recursive Identification Algorithm with Quantized Observations Based on Weighted Least-Squares Type Criteria
Xingrui Liu, Ying Wang, Yanlong Zhao
This paper investigates system identification problems with Gaussian inputs and quantized observations under fixed thresholds. By reinterpreting the nonlinear effects induced by qu…
quant-ph2025
Single-shot and two-shot decoding with generalized bicycle codes
Hsiang-Ku Lin, Xingrui Liu, Pak Kau Lim +1
Generalized-bicycle (GB) and more general two-block group-algebra (2BGA) quantum error-correcting codes have naturally redundant minimum-weight stabilizer generators. To use this r…