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Llama-3.1-8B uses base-10 addition for cyclic concept reasoning

Researchers have investigated how Llama-3.1-8B handles cyclic concepts, such as determining months in a year. They discovered that the model does not directly compute modular arithmetic based on the concept's cycle. Instead, it uses a general base-10 addition mechanism and then maps the result back into the cyclic space. This process involves a small set of specialized neurons that compute sums for different Fourier features, highlighting the interplay between causal abstraction and feature geometry in language models. AI

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

IMPACT Provides deeper insight into the internal reasoning processes of LLMs, potentially guiding future model architectures and training.

RANK_REASON Academic paper detailing novel findings about LLM reasoning mechanisms. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.CL →

COVERAGE [1]

  1. arXiv cs.CL TIER_1 · Sheridan Feucht, Tal Haklay, Usha Bhalla, Daniel Wurgaft, Can Rager, Rapha\"el Sarfati, Jack Merullo, Thomas McGrath, Owen Lewis, Ekdeep Singh Lubana, Thomas Fel, Atticus Geiger ·

    Arithmetic in the Wild: Llama uses Base-10 Addition to Reason About Cyclic Concepts

    arXiv:2605.01148v1 Announce Type: cross Abstract: Does structure in representations imply structure in computation? We study how Llama-3.1-8B reasons over cyclic concepts (e.g., "what month is six months after August?"). Even though Llama-3.1-8B's representations for these concep…