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

Fuente: arXiv
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Main Authors: Zhu, Ziyuan, Yuan, Changcheng, Roth, Ron M., Siegel, Paul H., Jiang, Anxiao
Format: Preprint
Published: 2026
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author Zhu, Ziyuan
Yuan, Changcheng
Roth, Ron M.
Siegel, Paul H.
Jiang, Anxiao
author_facet Zhu, Ziyuan
Yuan, Changcheng
Roth, Ron M.
Siegel, Paul H.
Jiang, Anxiao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_03723
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A New Class of Geometric Analog Error Correction Codes for Crossbar Based In-Memory Computing
Zhu, Ziyuan
Yuan, Changcheng
Roth, Ron M.
Siegel, Paul H.
Jiang, Anxiao
Information Theory
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.
title A New Class of Geometric Analog Error Correction Codes for Crossbar Based In-Memory Computing
topic Information Theory
url https://arxiv.org/abs/2603.03723