Arena-Rank: The ranking methodology powering the LMArena leaderboard.
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Installation
From pip:
pip install arena-rank
From source:
git clone https://github.com/lmarena/arena-rank && cd arena-rank
uv sync
Examples
Below is a minimal example using Arena-Rank to produce a leaderboard on LMArena data:
import pandas as pd
import datasets
from arena_rank.utils.data_utils import PairDataset
from arena_rank.models.bradley_terry import BradleyTerry
df = datasets.load_dataset(
"lmarena-ai/arena-human-preference-140k",
columns=["model_a", "model_b", "winner"]
)["train"].to_pandas()
dataset = PairDataset.from_pandas(df)
model = BradleyTerry(n_competitors=len(dataset.competitors))
# compute ratings and 95% confidence intervals
results = model.compute_ratings_and_cis(dataset, significance_level=0.05)
# print top 10 competitors with ratings and confidence intervals
leaderboard = pd.DataFrame(results).sort_values("ratings", ascending=False).head(10)
print(leaderboard.to_markdown(index=False))
| competitors | ratings | rating_lower | rating_upper | variances |
|:------------------------------------|----------:|---------------:|---------------:|------------:|
| gemini-2.5-pro | 1124.07 | 1117.61 | 1130.53 | 10.8542 |
| gemini-2.5-pro-preview-03-25 | 1097.88 | 1082 | 1113.77 | 65.6717 |
| grok-4-0709 | 1093.34 | 1078.44 | 1108.25 | 57.8409 |
| o3-2025-04-16 | 1079.39 | 1072.86 | 1085.92 | 11.0919 |
| chatgpt-4o-latest-20250326 | 1078.14 | 1071.33 | 1084.94 | 12.0447 |
| gemini-2.5-pro-preview-05-06 | 1074.8 | 1064.55 | 1085.05 | 27.3722 |
| deepseek-r1-0528 | 1074.48 | 1067.19 | 1081.78 | 13.8388 |
| grok-3-preview-02-24 | 1071.28 | 1063.7 | 1078.85 | 14.9286 |
| llama-4-maverick-03-26-experimental | 1067.21 | 1059.38 | 1075.04 | 15.953 |
| gemini-2.5-flash | 1061.26 | 1055.31 | 1067.22 | 9.21695 |
See the examples folder for notebooks with more advanced examples, covering techniques such as the style-controlled leaderboard on LMArena, analysis of voter patterns on the PRISM dataset, and analysis of sports and video game competitions using the Bradley-Terry methodology.
Contributing
We welcome and encourage contributions. To develop Arena-Rank, make sure to install the development dependencies and the git pre-commit hooks.
uv sync --group dev
pre-commit install
Metadata
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