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LLM numerical inference analyzed via graph signal processing

A new research paper proposes a graph signal processing approach to understand how large language models (LLMs) process numerical information during in-context learning. By analyzing attention mechanisms as weighted graphs and token states as signals, the study reveals that LLMs develop more distinct representations for numerical inference as context length grows. The research indicates that simpler inputs lead to more globally connected token graphs and smoother signals, while complex inputs result in more localized graphs and broader spectral energy in hidden states, suggesting systematic internal signatures for numerical ICL across different model families. AI

IMPACT Provides a new analytical framework for understanding LLM internal representations of numerical data, potentially improving model interpretability and performance.

RANK_REASON Academic paper detailing a novel analytical framework for LLM internal representations. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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LLM numerical inference analyzed via graph signal processing

COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Jiajun Bao, Zihao Qi, Toni J. B. Liu, Gurbir Arora, Rapha\"el Sarfati, Nicolas Boull\'e, Christopher J. Earls ·

    A Graph Signal Processing Perspective on Numerical Sequence Representations in LLM In-Context Learning

    arXiv:2608.03015v1 Announce Type: cross Abstract: Pretrained large language models (LLMs) have demonstrated in-context learning (ICL) capabilities for numerical inference over sequences serialized as text. Prior work has identified and characterized this form of numerical inferen…