IC-501Linear probes on middle-layer attention heads of Llama-2-7B-Chat, Mistral-7B-Instruct-v0.1, and Vicuna-7B-v1.5 predict US lawmakers' DW-Nominate ideology scores with Spearman correlations around 0.85

Junsol Kim, James Evans, Aaron Schein

SourceLinear Representations of Political Perspective Emerge in Large Language Models

The authors prompt three 7B open LLMs to generate statements in the style of each of 552 members of the 116th US Congress, record activations of every attention head, and train ridge-regression linear probes to predict each lawmaker's first-dimension DW-Nominate score. The most predictive heads are concentrated in middle layers (roughly 10–20), with peak single-head Spearman correlations of 0.854 (Llama-2, layer 15 head 18), 0.846 (Mistral, layer 16 head 3), and 0.861 (Vicuna, layer 24 head 8). Ensembling the top 32 heads yields 0.870, 0.864, and 0.885 respectively. Non-linear MLP probes do not substantially outperform the linear ones, supporting the linearity of the representation.

Evidence
correlational
Key metric
Spearman ρ_cv: 0.854 (Llama-2-7B-Chat, layer 15 head 18), 0.846 (Mistral-7B-Instruct, layer 16 head 3), 0.861 (Vicuna-7B, layer 24 head 8); ensemble k=32: 0.870, 0.864, 0.885
Caveat
Findings are based on relatively smaller 7B models and may not generalize to larger or untested models. The representation is US-centric; cross-national generalization to 411 non-US parties yields only ρ=0.531 for Llama-2-7B-Chat. The authors note this is an initial demonstration rather than an exhaustive analysis.
Model
Llama 2 / Llama 2 base Llama 2 7B Chat / Llama-2-chat-7b, Mistral 7B / Mistral / Mistral 3 7B / Mistral-0.2-7B / Mistral-v0.1 Mistral-7B-Instruct-v0.1, Vicuna Vicuna-7B-v1.5
Concepts
Linear representation, Depth-dependent structure
Methods
Linear Probing / Ridge regression linear probing / Linear probe / Linear probe fine-tuning / Linear regression probing / Linear ridge regression probes / Supervised probing / ERM linear probe [primary], Multilayer perceptron [compared-to]
Related findings
IC-502, IC-503, IC-504
Extraction
automatic-extraction