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Model: azuki-digital/llm-jp-4-math-lion
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---
language:
- ja
license: apache-2.0
tags:
- math
- japanese
- fine-tuning
- sft
- lora
- chain-of-thought
- self-consistency
- llm-jp
- ft-competition-2026
base_model:
- llm-jp/llm-jp-4-8b-base
datasets:
- azuki-digital/ft-llm-2026-synthetic-ja-math-qwen-235b-v1
- azuki-digital/ft-llm-2026-synthetic-ja-math-qwen-235b-v2
pipeline_tag: text-generation
model-index:
- name: llm-jp-4-math-lion
results:
- task:
type: math-reasoning
name: Japanese Math Benchmark (Dev)
metrics:
- type: accuracy
value: 95
name: Accuracy (Dev 100Q)
---
# llm-jp-4-math-lion
**ファインチューニングコンペ LLM 2026 — 数学タスク(オープン枠)提出モデル**
日本の中学・高校レベルの数学問題に対する推論精度を最大化するために、2段階のSFTSupervised Fine-Tuningと推論時のSelf-Consistencyを組み合わせたモデルです。
## モデル概要
| 項目 | 詳細 |
|------|------|
| ベースモデル | LLM-JP 4 継続事前学習済みモデル(`llm-jp/llm-jp-4-8b-base`|
| 学習手法 | 2段階 SFTStage 1: Full Fine-Tuning → Stage 2: LoRA |
| 学習データ | 合成データ 約160万件自作 + LLM蒸留 |
| 推論手法 | vLLM + `\boxed{}` 形式出力Self-Consistency対応 |
| 開発ベンチマーク精度 | 95%運営配布100問 |
| コンペ | ファインチューニングコンペ LLM 2026 数学タスク・オープン枠 |
## ベースモデルの選定
運営から提供された3つのベースモデル候補を開発用ベンチマーク100問で評価し、以下の結果を得ました。
| モデル | 精度 |
|--------|------|
| 事前学習のみ | 7% |
| 継続事前学習済み | 48% |
| インストラクションチューニング済み | 44% |
継続事前学習とSFTを組み合わせる方針だったため、追加の継続事前学習が行いやすく精度も最も高かった「継続事前学習済みモデル」を選定しました。
## 学習データセット
2種類のデータセットを作成し、段階的にモデルへ学習させています。
### データセット1: ベンチマーク指向型データ約60万件
評価ベンチマークの出題形式・分野を意識して作成したデータセットです。
- **問題生成**: LLMは不使用。日本語の設問テンプレートを手動で作成し、ランダムに組み合わせるロジックで生成。計算部分はSymPyを使用して式と回答の整合性を保証。
- **カバー範囲**: 中学・高校数学の評価対象カテゴリを網羅。約3万件のユニークな問題・回答ペアを作成。
- **CoT付与**: 各問題に対して Qwen/Qwen3-235B-A22B-Instruct-2507 で20個のCoTを生成Temperature / Top-p制御で多様性を確保。生成されたCoTと正解を突き合わせ、正確なもののみを採用。
- **最終データ量**: 約60万件3万問 × 正確なCoT
### データセット2: LLM完全生成型データ約100万件
問題・CoTの両方をLLMで生成した蒸留データセットです。NVIDIAの数学タスク精度向上に関する研究を参考にしています。
- **問題生成**: Qwen/Qwen3-235B-A22B-Instruct-2507 を使用。日本の中学・高校の数学カリキュラムに準拠した問題を全カテゴリで約5万件生成。ベンチマークとは独立した出題で汎化性能を意識。
- **回答・CoT生成**: Qwen/Qwen3-235B-A22B-Instruct-2507 を使用。各問題に対して20回の試行を行い、マジョリティ・ボーティング多数決で80%以上の一致率が得られたもののみを採用。
- **最終データ量**: 約100万件5万問 × 正確なCoT
## 学習手法
### Stage 1: Full Fine-Tuning
汎用的な数学推論能力の獲得を目的とし、LLM完全生成型データセット約100万件azuki-digital/ft-llm-2026-synthetic-ja-math-qwen-235b-v2でフルパラメータのファインチューニングを実施。
| パラメータ | 値 |
|-----------|-----|
| 手法 | Full Fine-Tuning |
| 学習率 | 2e-5 |
| データ | LLM完全生成型データ~100万件 |
### Stage 2: LoRA Fine-Tuning
ベンチマークの出題形式への適応を目的とし、ベンチマーク指向型データセット約60万件azuki-digital/ft-llm-2026-synthetic-ja-math-qwen-235b-v1でLoRAによる追加学習を実施。
| パラメータ | 値 |
|-----------|-----|
| 手法 | LoRA |
| ランク (r) | 64 |
| Alpha (α) | 128 |
| ドロップアウト | 0.03 |
| 学習率 | 1e-4 |
| データ | ベンチマーク指向型データ(~60万件 |
## 使い方
### プロンプトテンプレート
本モデルは以下のプロンプトテンプレートで学習・推論を行っています。出力は必ず `\boxed{}` で最終回答を囲む形式になります。
```
次の数学の問題を解いてください。
【厳守】
- 数式はLaTeXで書く。
- 最後の答えは必ず \boxed{} で1回だけ囲む。
問題:
{problem}
解答:
```
### 推論コードvLLM
```python
from vllm import LLM, SamplingParams
PROMPT_TEMPLATE = """\
次の数学の問題を解いてください。
【厳守】
- 数式はLaTeXで書く。
- 最後の答えは必ず \\boxed{{}} で1回だけ囲む。
問題:
{problem}
解答:
"""
model_path = "azuki-digital/llm-jp-4-math-lion"
llm = LLM(model=model_path, trust_remote_code=True)
sampling_params = SamplingParams(
temperature=0.0,
top_p=1.0,
max_tokens=4096,
)
problem = "2次方程式 x^2 - 5x + 6 = 0 を解きなさい。"
prompt = PROMPT_TEMPLATE.format(problem=problem)
outputs = llm.generate([prompt], sampling_params=sampling_params)
print(outputs[0].outputs[0].text)
```
### 回答の抽出
モデルの出力から最終回答を取得するには、`\boxed{}` の中身を抽出してください。
```python
import re
def extract_answer(text: str) -> str:
"""text から最後の \\boxed{...} の中身を抽出する"""
key = r"\boxed{"
start = text.rfind(key)
if start == -1:
return ""
i = start + len(key)
depth = 1
out_chars = []
while i < len(text):
ch = text[i]
if ch == "{":
depth += 1
out_chars.append(ch)
elif ch == "}":
depth -= 1
if depth == 0:
return "".join(out_chars).strip()
out_chars.append(ch)
else:
out_chars.append(ch)
i += 1
return ""
```
### 推論時のTips
- **Self-Consistencyオプション**: 精度をさらに向上させたい場合、同一問題に対して複数回(例: 20回推論を行い、[Math-Verify](https://github.com/huggingface/Math-Verify)で回答を比較した上でマジョリティ・ボーティングを行う手法が有効です。学習に使用しなかった外部ベンチマークでは、この手法により精度が顕著に向上する傾向が確認されました。
- **リトライ**: `\boxed{}` が出力に含まれない場合は、同じ問題で再度推論を行うことで回答を得られる場合があります。
## 評価結果
| ベンチマーク | 精度 | 備考 |
|-------------|------|------|
| 開発用ベンチマーク100問 | **95%** | 運営配布の評価データ |
参考として、Qwen/Qwen3-30B-A3B-Instruct-2507 の同ベンチマークに対する精度は84%であり、本モデルはこれを上回る精度を達成しています。
## 制限事項
- 日本の中学・高校レベルの数学問題に特化して学習しているため、それ以外の領域での性能は保証されません。
- 合成データQwen3による蒸留データを中心に学習しているため、学習データの分布から外れるパターンの問題では精度が低下する可能性があります。
- 継続事前学習は当初計画していたものの、リソース・スケジュールの制約により未実施です。
## ライセンス
Apache License 2.0
## 引用
```bibtex
@misc{llm-jp-4-math-lion,
title={llm-jp-4-math-lion: Two-Stage SFT with Self-Consistency for Japanese Math Reasoning},
author={azuki-digital},
year={2026},
url={https://huggingface.co/azuki-digital/llm-jp-4-math-lion}
}
```

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