Language models organize answers into shared concept directions

The Answer-Basin Representation Hypothesis: We Are Not Probing or Steering Concepts

Computation and Language

Summary

Language models generate answers by predicting the next word, but how they organize concepts inside is not clear. The authors propose that these models group all possible continuations that yield the same answer into what they call 'answer basins'. These basins capture how likely different answers are, and the shared directions linked to concepts arise from differences in the probabilities of these answer groups rather than explicit concept labels. Their experiments suggest that understanding and influencing concepts depends on how these answer basins align with concept labels.

What this means in practice

A position paper. It proposes an approach and reports no results.

Authors

Manjiang Yu, Hongji Li, Zihan Wang, Junwei Chen, Xue Li, Priyanka Singh, Yang Cao, Lijie Hu

Abstract

The Linear Representation Hypothesis associates high-level concepts with directions in language models, but it remains unclear how these concept-related linear structures are organized within the model. We propose the Answer-Basin Representation Hypothesis: the probability measure induced over answers by the model's continuation distribution organizes these linear structures, with its statistics represented along linear directions shared across questions. All continuations yielding the same answer form an answer basin, whose mass is their total probability. These basin masses define the pushforward probability measure over answers. We posit that concept-related linear structure emerges from differences in the answer measure rather than being determined by changes in concept labels. Experiments across models and tasks link concept-consistent effects and their reversals in probing and steering to the alignment between concept labels and the answer measure.