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English(EN) The Discrete-Log Clock: How a Transformer Learns Modular Multiplication

Transformer通过离散对数时钟算法学习模乘法

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员通过分析Transformer在特定数学基下的内部表示，揭示了它们如何学习模乘法。与之前关于傅里叶谱稠密的假设相反，该研究表明，当使用乘法特征变换进行分析时，Transformer的嵌入变得稀疏，关键频率占主导地位。这表明该模型有效地将乘法简化为离散对数空间中的加法，实现了一种“离散对数时钟”算法。 AI

排序理由 研究论文发布在arXiv上，详细介绍了Transformer可解释性的新发现。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.AI 阅读 →

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Transformer通过离散对数时钟算法学习模乘法

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研究论文发布在arXiv上，详细介绍了Transformer可解释性的新发现。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Huu Danh Nguyen (Stanford University) ·

    离散对数时钟：Transformer如何学习模乘法

    arXiv:2606.17399v1 Announce Type: cross Abstract: When small transformers grok modular multiplication, prior work reports that the learned embedding has a "dense" Fourier spectrum requiring all frequencies. This contrasts with modular addition, where only a sparse set of key freq…

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