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Model: azuki-digital/llm-jp-4-math-lion Source: Original Platform
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README.md
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README.md
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---
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language:
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- ja
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license: apache-2.0
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tags:
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- math
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- japanese
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- fine-tuning
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- sft
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- lora
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- chain-of-thought
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- self-consistency
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- llm-jp
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- ft-competition-2026
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base_model:
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- llm-jp/llm-jp-4-8b-base
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datasets:
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- azuki-digital/ft-llm-2026-synthetic-ja-math-qwen-235b-v1
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- azuki-digital/ft-llm-2026-synthetic-ja-math-qwen-235b-v2
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pipeline_tag: text-generation
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model-index:
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- name: llm-jp-4-math-lion
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results:
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- task:
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type: math-reasoning
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name: Japanese Math Benchmark (Dev)
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metrics:
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- type: accuracy
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value: 95
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name: Accuracy (Dev 100Q)
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---
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# llm-jp-4-math-lion
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**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**
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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SFT(Supervised Fine-Tuning)と推論時のSelf-Consistencyを組み合わせたモデルです。
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## モデル概要
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| 項目 | 詳細 |
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|------|------|
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| 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`)|
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| 学習手法 | 2段階 SFT(Stage 1: Full Fine-Tuning → Stage 2: LoRA) |
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| 学習データ | 合成データ 約160万件(自作 + LLM蒸留) |
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| 推論手法 | vLLM + `\boxed{}` 形式出力(Self-Consistency対応) |
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| 開発ベンチマーク精度 | 95%(運営配布100問) |
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| 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 |
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## ベースモデルの選定
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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。
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| モデル | 精度 |
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||||
|--------|------|
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| 事前学習のみ | 7% |
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| 継続事前学習済み | 48% |
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| インストラクションチューニング済み | 44% |
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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。
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## 学習データセット
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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。
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### データセット1: ベンチマーク指向型データ(約60万件)
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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。
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- **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。
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- **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。
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- **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。
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- **最終データ量**: 約60万件(3万問 × 正確なCoT)
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### データセット2: LLM完全生成型データ(約100万件)
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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。
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- **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。
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- **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。
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- **最終データ量**: 約100万件(5万問 × 正確なCoT)
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## 学習手法
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### Stage 1: Full Fine-Tuning
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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。
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| パラメータ | 値 |
|
||||
|-----------|-----|
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| 手法 | Full Fine-Tuning |
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| 学習率 | 2e-5 |
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| データ | LLM完全生成型データ(~100万件) |
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### Stage 2: LoRA Fine-Tuning
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|
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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。
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| パラメータ | 値 |
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|-----------|-----|
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| 手法 | LoRA |
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| ランク (r) | 64 |
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| Alpha (α) | 128 |
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| ドロップアウト | 0.03 |
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| 学習率 | 1e-4 |
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| データ | ベンチマーク指向型データ(~60万件) |
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## 使い方
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### プロンプトテンプレート
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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。
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```
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次の数学の問題を解いてください。
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【厳守】
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- 数式はLaTeXで書く。
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- 最後の答えは必ず \boxed{} で1回だけ囲む。
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問題:
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{problem}
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解答:
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```
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### 推論コード(vLLM)
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```python
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from vllm import LLM, SamplingParams
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PROMPT_TEMPLATE = """\
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次の数学の問題を解いてください。
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【厳守】
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- 数式はLaTeXで書く。
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- 最後の答えは必ず \\boxed{{}} で1回だけ囲む。
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問題:
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{problem}
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解答:
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"""
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model_path = "azuki-digital/llm-jp-4-math-lion"
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llm = LLM(model=model_path, trust_remote_code=True)
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sampling_params = SamplingParams(
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temperature=0.0,
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top_p=1.0,
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max_tokens=4096,
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)
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problem = "2次方程式 x^2 - 5x + 6 = 0 を解きなさい。"
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prompt = PROMPT_TEMPLATE.format(problem=problem)
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outputs = llm.generate([prompt], sampling_params=sampling_params)
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print(outputs[0].outputs[0].text)
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```
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### 回答の抽出
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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。
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```python
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import re
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def extract_answer(text: str) -> str:
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"""text から最後の \\boxed{...} の中身を抽出する"""
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key = r"\boxed{"
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start = text.rfind(key)
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if start == -1:
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return ""
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i = start + len(key)
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depth = 1
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out_chars = []
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while i < len(text):
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ch = text[i]
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if ch == "{":
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depth += 1
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out_chars.append(ch)
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elif ch == "}":
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depth -= 1
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if depth == 0:
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return "".join(out_chars).strip()
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out_chars.append(ch)
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else:
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out_chars.append(ch)
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i += 1
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return ""
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```
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### 推論時のTips
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- **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。
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- **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。
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## 評価結果
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| ベンチマーク | 精度 | 備考 |
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|-------------|------|------|
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| 開発用ベンチマーク(100問) | **95%** | 運営配布の評価データ |
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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。
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## 制限事項
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- 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。
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- 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。
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- 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。
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## ライセンス
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Apache License 2.0
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## 引用
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```bibtex
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@misc{llm-jp-4-math-lion,
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title={llm-jp-4-math-lion: Two-Stage SFT with Self-Consistency for Japanese Math Reasoning},
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author={azuki-digital},
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year={2026},
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url={https://huggingface.co/azuki-digital/llm-jp-4-math-lion}
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}
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```
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config.json
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config.json
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{
|
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"architectures": [
|
||||
"LlamaForCausalLM"
|
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],
|
||||
"attention_bias": false,
|
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"attention_dropout": 0.0,
|
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"bos_token_id": 1,
|
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"dtype": "bfloat16",
|
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"eos_token_id": 2,
|
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"head_dim": 128,
|
||||
"hidden_act": "silu",
|
||||
"hidden_size": 4096,
|
||||
"initializer_range": 0.02,
|
||||
"intermediate_size": 14336,
|
||||
"max_position_embeddings": 4096,
|
||||
"mlp_bias": false,
|
||||
"model_type": "llama",
|
||||
"num_attention_heads": 32,
|
||||
"num_hidden_layers": 32,
|
||||
"num_key_value_heads": 8,
|
||||
"pad_token_id": 2,
|
||||
"pretraining_tp": 1,
|
||||
"rms_norm_eps": 1e-06,
|
||||
"rope_scaling": null,
|
||||
"rope_theta": 500000,
|
||||
"tie_word_embeddings": false,
|
||||
"transformers_version": "4.57.3",
|
||||
"use_cache": false,
|
||||
"vocab_size": 196608
|
||||
}
|
||||
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generation_config.json
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|
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"_from_model_config": true,
|
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"bos_token_id": 1,
|
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|
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2
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|
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"pad_token_id": 2,
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"transformers_version": "4.57.3"
|
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}
|
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45
special_tokens_map.json
Normal file
45
special_tokens_map.json
Normal file
@@ -0,0 +1,45 @@
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||||
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3
tokenizer.json
Normal file
3
tokenizer.json
Normal file
@@ -0,0 +1,3 @@
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size 12868527
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2836
tokenizer_config.json
Normal file
2836
tokenizer_config.json
Normal file
File diff suppressed because it is too large
Load Diff
Reference in New Issue
Block a user