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math.OC2026
Asymptotically Efficient Recursive Identification Under One-Bit Communications Achieving Original CRLB
Xingrui Liu, Jieming Ke, Mingjie Shao +1
This paper develops an asymptotically efficient recursive identification algorithm for autoregressive systems with exogenous inputs under one-bit communications. In particular, the…
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…