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.

翻译：模拟纠错码已被提出用于电阻交叉阵列上的模拟内存计算，以加速机器学习中的向量-矩阵乘法。与传统通信或存储信道不同，该场景涉及包含微小扰动和离群错误的混合噪声模型。目前已有多种模拟码可处理单个离群值，并开发了若干针对多个离群值的构造方案。然而，现有码族集仍十分有限，仅覆盖较窄范围的码长与维度。本文研究了一种近期提出的、能处理多个离群值的几何码族，并通过几何分析刻画了其m-高度分布特征。