English(EN) The Ball and the Box: Two Geometries of Computation in Superposition

研究论文探讨神经叠加态中的计算

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-09 04:00

一篇题为“球与盒子：叠加态中的两种计算几何”的新研究论文探讨了神经表征如何编码比其维度更多的特征，这种现象被称为叠加态。该研究侧重于从这些表征计算布尔门所需的维度。它为具有高斯随机字典和稀疏布尔输入的单层阈值在两种误差标准下推导出了严格的维度阈值。论文指出，预期的误差计数趋近于零可能比确保每个输出高概率正确性需要更多的维度，并将这种差距归因于共享读取，因为稀有实现可能同时导致多个错误。 AI

排序理由该条目是一篇提交到arXiv的研究论文。[lever_c_降级自研究：ic=1 ai=1.0]

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arXiv cs.LG TIER_1 English(EN) · Xiaoyu Li, Lequan Lin, Dai Shi, Jiaojiao Jiang, Junbin Gao, Andi Han · 2026-10-09 04:00

球与盒：叠加态中的两种计算几何

arXiv:2610.11744v1 Announce Type: new Abstract: Neural representations can encode more features than they have dimensions, a phenomenon known as superposition. We study the dimension needed to compute Boolean gates from such representations. For a single threshold layer with a Ga…

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球与盒：叠加态中的两种计算几何

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