"""Arena Elo vs trap displacement correlation (reproduces Figure 2 numbers). Hardcodes a small dict of paper-time Chatbot Arena Elo values for 15 of the 18 models (3 had no public Elo at submission time). Loads the unified dataset, computes per-model trap displacement (mean of F1+F2 binary outcomes), and prints Spearman rho, Pearson r, n, and the leave-one-out range for Spearman. """ from __future__ import annotations import sys from pathlib import Path import numpy as np import pandas as pd from scipy import stats sys.path.insert(0, str(Path(__file__).resolve().parent)) from _paths import DATA # noqa: E402 from headline_table import DISPLAY, avg_rater_displaced # noqa: E402 # Chatbot Arena (LMArena) Elo values as used for Figure 2 of the paper # (leaderboard snapshot taken at submission time, spring 2026). With these # values and Trap = mean(F1, F2) the script reproduces rho = -0.706, p = 0.003 # (n = 15). Updating the values to a current leaderboard will change rho. ELO = { "gemini-2.5-pro": 1467, "gemini-3.1-pro-preview": 1490, "gpt-5.4": 1484, "claude-sonnet-4-6": 1468, "deepseek-chat": 1334, "gpt-4o": 1340, "gemini-2.5-flash": 1415, "gpt-4o-mini": 1288, "ollama:mistral": 1097, "ollama:llama3": 1193, "ollama:llama3.1:8b": 1195, "ollama:llama3.1:70b": 1310, "ollama:qwen2.5:32b": 1272, "ollama:qwen2.5:72b": 1310, "ollama:nemotron": 1250, } # Models without public Elo at submission time (kept for documentation): # deepseek-reasoner, claude-haiku-4-5-20251001, gpt-5.4-mini-2026-03-17 def main() -> None: df = pd.read_csv(DATA) df = df.dropna(subset=["ds_a1", "ds_a2"]).copy() df["disp"] = avg_rater_displaced(df) trap = df[df["trap_family"].isin([1, 2])] per_model = trap.groupby("model")["disp"].mean() rows = [] for m, elo in ELO.items(): if m in per_model.index: rows.append((m, elo, per_model[m])) paired = pd.DataFrame(rows, columns=["model", "elo", "trap_rate"]) rho, p_rho = stats.spearmanr(paired["elo"], paired["trap_rate"]) r_p, p_r = stats.pearsonr(paired["elo"], paired["trap_rate"]) print(f"n = {len(paired)} (of 18 models; 3 lack public Elo)") print(f"Spearman rho = {rho:.3f}, p = {p_rho:.3e}" f" [paper: rho = -0.706, p = 0.003, with the Elo snapshot stored in ELO]") print(f"Pearson r = {r_p:.3f}, p = {p_r:.3e}") # Leave-one-out range for Spearman. los: list[float] = [] for i in range(len(paired)): sub = paired.drop(paired.index[i]) rho_i, _ = stats.spearmanr(sub["elo"], sub["trap_rate"]) los.append(rho_i) print(f"LOO Spearman rho range: [{min(los):.3f}, {max(los):.3f}]") print() print("Per-model values used:") paired_sorted = paired.sort_values("elo") for _, r in paired_sorted.iterrows(): name = DISPLAY.get(r["model"], r["model"]) print(f" {name:<22s} Elo {int(r['elo']):>5d} " f"trap {r['trap_rate'] * 100:5.1f}%") if __name__ == "__main__": main()