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基于电阻交叉阵列的模拟内存计算，这种计算能够加速机器学习中的向量-矩阵乘法。与传统的通信或存储信道不同，该场景涉及包含微小扰动和离群误差的混合噪声模型。目前已提出多种用于处理单个离群值的模拟码，并已开发出若干构造方法来应对多个离群值。然而，现有可用码族集合仍然有限，仅覆盖了较窄的码长与维度范围。本文研究了一种近期提出的、能够处理多个离群值的几何码族，并建立了一种刻画其m-高度轮廓的几何分析方法。