English

A New Class of Geometric Analog Error Correction Codes for Crossbar Based In-Memory Computing

Information Theory 2026-05-29 v4 math.IT

Abstract

Analog error correction codes have been proposed for analog in-memory computing on resistive crossbars, which can accelerate vector-matrix multiplication for machine learning. Unlike traditional communication or storage channels, this setting involves a mixed noise model with small perturbations and outlier errors. A number of analog codes have been proposed for handling a single outlier, and several constructions have also been developed to address multiple outliers. However, the set of available code families remains limited, covering only a narrow range of code lengths and dimensions. In this paper, we study a recently proposed family of geometric codes capable of handling multiple outliers, and develop a geometric analysis that characterizes their m-height profiles.

Keywords

Cite

@article{arxiv.2603.03723,
  title  = {A New Class of Geometric Analog Error Correction Codes for Crossbar Based In-Memory Computing},
  author = {Ziyuan Zhu and Changcheng Yuan and Ron M. Roth and Paul H. Siegel and Anxiao Jiang},
  journal= {arXiv preprint arXiv:2603.03723},
  year   = {2026}
}
R2 v1 2026-07-01T11:02:28.104Z