对比方格与六边形网格细胞，发现性能无显著差异。
Are Grid Cells Hexagonal for Performance or by Convenience?
- 用向量哈希内存模型模拟脑内网格-位置细胞网络。
- 六边形与方形网格在记忆存储召回上表现相近。
- 结果表明六边形结构或为生物实现便利而非性能优势。
本文研究网格细胞的六边形结构是否带来性能优势，还是仅因生物学实现便利。基于向量哈希内容寻址内存模型，模拟哺乳动物大脑中的网格-位置细胞网络，比较方形与六边形网格细胞在存储和检索空间记忆任务中的表现。实验覆盖不同路径类型、路径长度及网格配置，在多种数据集和噪声水平下，六边形网格细胞与方形网格细胞在空间表征与记忆召回上表现相当，准确率与鲁棒性无显著差异。结果表明，大脑采用六边形网格可能更多是出于生物实现的便利性，而非性能更优（方形网格在计算机中更易实现）。
原文摘要 · Abstract (English)
This paper investigates whether the hexagonal structure of grid cells provides any performance benefits or if it merely represents a biologically convenient configuration. Utilizing the Vector-HaSH content addressable memory model as a model of the grid cell -- place cell network of the mammalian brain, we compare the performance of square and hexagonal grid cells in tasks of storing and retrieving spatial memories. Our experiments across different path types, path lengths and grid configurations, reveal that hexagonal grid cells perform similarly to square grid cells with respect to spatial representation and memory recall. Our results show comparable accuracy and robustness across different datasets and noise levels on images to recall. These findings suggest that the brain's use of hexagonal grids may be more a matter of biological convenience and ease of implementation rather than because they provide superior performance over square grid cells (which are easier to implement in silico).
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