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arXiv:cs.LG· Xiaocong Yang, Xuanyu Meng, Yuji Zhang, Jiawei Han, ChengXiang Zhai·· 3 小时前

SAE-IDF:用稀疏自编码器为符号匹配建立共享坐标系

Sparse Autoencoders Are a Shared Coordinate System for Symbolic Matching

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SAE-IDF 用稀疏自编码器(SAE)将符号在原生上下文中编码为稀疏码,并按维度稀有度重新加权后跨系统匹配。在 6 类符号系统的 12 项任务上,该方法在 Gemma-2-9B 上全部超越同模型稠密基线,在 Llama-3.1-8B 上除一项外全部胜出,最高领先 45 分,且在各 SAE 层与配置下表现一致。稀疏码每一维都有可读含义,使每次匹配可分解为具名概念。

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Abstract:Large language models (LLMs) hold broad knowledge in one set of weights, but lack interpretability and trustworthy reasoning, especially in high-stakes use cases. A neuro-symbolic model, with its interpretable architecture and System 2 reasoning capacity, is a promising alternative if built at the scale of LLMs; however, its symbolic backbone is usually constructed with human effort, so existing neuro-symbolic models are bottlenecked by the scope of the symbol component and usually domain-specific. A data-driven method could instead build a larger symbolic system by aligning and merging existing ones. We target its first, foundational step: matching units across these heterogeneous systems. Our method, SAE-IDF, encodes a symbol in its native context into a sparse code with a sparse autoencoder (SAE), re-weights each dimension by its rarity and matches across systems. On 12 tasks across 6 kinds of symbolic system, SAE-IDF outperforms the same LLM's dense baseline on all tasks with Gemma-2-9B and all but one with Llama-3.1-8B, by up to 45 points, consistently across SAE layers and configurations. SAE-IDF is also interpretable: every dimension of the sparse code has a human-readable meaning, so each match decomposes into named concepts (features). Our work paves the way to a universal symbolic backbone.
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Computation and Language (cs.CL); Symbolic Computation (cs.SC)
Cite as: arXiv:2610.19636 [cs.LG]
  (or arXiv:2610.19636v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2610.19636

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Xiaocong Yang [view email]
[v1] Wed, 14 Oct 2026 06:05:04 UTC (172 KB)

来源:arXiv:cs.LG · arxiv.org