jasonrqh/DeepSeek-R1-20k
收藏资源简介:
--- language: - "en" license: "mit" tags: - "reasoning" - "sft" - "chain-of-thought" --- # Rethinking Generalization in Reasoning SFT This repository contains datasets associated with the paper "[Rethinking Generalization in Reasoning SFT: A Conditional Analysis on Optimization, Data, and Model Capability](https://huggingface.co/papers/2604.06628)". The research investigates the factors influencing cross-domain generalization in Large Language Models (LLMs) during reasoning-focused supervised fine-tuning (SFT) with long chain-of-thought (CoT) data. ## Key Findings - **Optimization Dynamics**: Cross-domain performance often follows a **dip-and-recovery** trajectory. Models may require extended training to reach maximum generalization. - **Data Quality and Structure**: Verified long-CoT traces yield consistent cross-domain gains, whereas low-quality solutions or No-CoT data can lead to misleading signals or poor transfer. - **Model Capability**: Stronger base models are more effective at internalizing transferable procedural reasoning patterns (such as backtracking) compared to weaker models. - **Asymmetric Generalization**: The study finds that while reasoning capabilities improve through long-CoT SFT, model safety can simultaneously degrade. In contrast, No-CoT data leads to less reasoning improvement but better safety outcomes. ## Resources - **Paper**: [arXiv:2604.06628](https://huggingface.co/papers/2604.06628) - **Code**: [Official GitHub Repository](https://github.com/Nebularaid2000/rethink_sft_generalization) - **Model Collection**: [Hugging Face Collection](https://huggingface.co/collections/jasonrqh/rethink-sft-generalization) ## Overview of Open-source Models We have open-sourced **ALL** models trained in our experiments, including the **intermediate checkpoints** (you can find them in the `stepxxx` folder in the repo). Note that the following model list may include repeated entries, as it is organized by the experiments and conclusions presented in the paper. | Model Name | Hugging Face | ModelScope | | --- | --- | --- | | **Weak cross-domain generalization is more pronounced under short training and smaller learning rates (refer to Sec. 3.1; App. C.1, Table 4)** | | | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs256) | | Qwen3-14B_Math-CoT-20k_lr1e-5_ep1_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr1e-5_ep1_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr1e-5_ep1_bs256) | | Qwen3-14B_Math-CoT-20k_lr1e-5_ep2_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr1e-5_ep2_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr1e-5_ep2_bs256) | | **Apparent non-generalization can be an under-optimization artifact, with a dip-and-recovery pattern under extended training (refer to Sec. 3.1-3.2, Fig. 3)** | | | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256) | | **The above optimization dynamics remain robust under a different teacher model (refer to App. C.2, Fig. 7)** | | | | Qwen3-14B_DeepSeek-R1-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_DeepSeek-R1-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_DeepSeek-R1-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_DeepSeek-R1-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_DeepSeek-R1-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_DeepSeek-R1-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_DeepSeek-R1-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_DeepSeek-R1-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_DeepSeek-R1-20k_lr5e-5_ep8_bs256) | | **Under a fixed 640-step budget, repeated exposure is more effective than one-pass coverage (refer to Sec. 3.3, Table 1)** | | | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-14B_Math-CoT-2.5k_lr5e-5_ep8_bs32 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-2.5k_lr5e-5_ep8_bs32) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-2.5k_lr5e-5_ep8_bs32) | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs32 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs32) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs32) | | **Overfitting symptoms emerge mainly under combined aggressive schedules (refer to Sec. 3.4, Fig. 4; App. C.4)** | | | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep16_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep16_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep16_bs256) | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep16_bs256_ConstLR | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep16_bs256_ConstLR) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep16_bs256_ConstLR) | | Qwen3-14B_Math-CoT-20k_lr1e-4_ep16_bs256_ConstLR | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr1e-4_ep16_bs256_ConstLR) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr1e-4_ep16_bs256_ConstLR) | | **Training data quality and structure jointly shape generalization (refer to Sec. 4, Table 2)** | | | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-14B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | | Qwen3-14B_Numina-Math-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Numina-Math-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Numina-Math-20k_lr5e-5_ep8_bs256) | | Qwen3-14B_Countdown-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Numina-Math-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Numina-Math-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Numina-Math-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Countdown-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_Numina-Math-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_Numina-Math-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_Numina-Math-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_Countdown-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | | **Higher-capability models internalize transferable reasoning patterns more effectively and generalize better (refer to Sec. 5, Fig. 5)** | | | | Qwen3-1.7B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-1.7B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-1.7B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-4B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-4B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-4B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | | **The capability-dependent trend extends to another model family (refer to App. C.2/C.5, Fig. 8/14/15)** | | | | Qwen2.5-1.5B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen2.5-1.5B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen2.5-1.5B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen2.5-3B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen2.5-3B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen2.5-3B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen2.5-7B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen2.5-7B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen2.5-7B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen2.5-14B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen2.5-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen2.5-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | | **Asymmetric generalization: reasoning improves while safety degrades under long-CoT SFT (refer to Sec. 6, Fig. 6)** | | | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-14B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Math-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-8B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-8B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-8B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_Math-CoT-20k_lr5e-5_ep8_bs256) | | InternLM2.5-20B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/InternLM2.5-20B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/InternLM2.5-20B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | | **Appendix: smaller and mid-scale models across data configurations (refer to App. D)** | | | | Qwen3-1.7B_Countdown-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-1.7B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-1.7B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-1.7B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-1.7B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-1.7B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | | Qwen3-4B_Countdown-CoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-4B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-4B_Countdown-CoT-20k_lr5e-5_ep8_bs256) | | Qwen3-4B_Math-NoCoT-20k_lr5e-5_ep8_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-4B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-4B_Math-NoCoT-20k_lr5e-5_ep8_bs256) | ## Overview of Open-source Datasets We provide the main datasets used in our experiments. | Dataset Name | Description | Size | Hugging Face | ModelScope | | --- | --- | --- | --- | --- | | Math-CoT-20k | Verified long-CoT math reasoning data (default setting in the paper) | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/Math-CoT-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/Math-CoT-20k) | | Math-NoCoT-20k | Math-CoT-20k with CoT traces removed (final summary/answer retained) | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/Math-NoCoT-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/Math-NoCoT-20k) | | Countdown-CoT-20k | Countdown arithmetic-game long-CoT data for procedural transfer analysis | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/Countdown-CoT-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/Countdown-CoT-20k) | | NuminaMath-20k | No-CoT math data with the matched queries, sourced from NuminaMath-1.5 | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/NuminaMath-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/NuminaMath-20k) | | DeepSeek-R1-20k | Verified long-CoT responses from DeepSeek-R1 on the same queries, sourced from the LUFFY dataset | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/DeepSeek-R1-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/DeepSeek-R1-20k) | ## Citation ```bibtex @article{ren2026rethinking_sft_generalization, title={Rethinking Generalization in Reasoning SFT: A Conditional Analysis on Optimization, Data, and Model Capability}, author={Qihan Ren and Peng Wang and Ruikun Cai and Shuai Shao and Dadi Guo and Yuejin Xie and Yafu Li and Quanshi Zhang and Xia Hu and Jing Shao and Dongrui Liu}, journal={arXiv preprint arXiv:2604.06628}, year={2026} } ```
语言: - "英语" 许可证:"MIT许可证" 标签: - "推理" - "监督微调(SFT)" - "思维链(CoT)" # 重新思考推理监督微调中的泛化能力 本仓库包含与论文《重新思考推理监督微调中的泛化能力:关于优化、数据与模型能力的条件性分析》相关的数据集与开源模型。 本研究针对大语言模型(LLM)在推理任务中采用长思维链数据进行监督微调(SFT)时的跨域泛化能力展开分析,针对优化、数据与模型能力三个维度进行条件性分析。 ## 核心发现 - **优化动力学**:跨域性能通常呈现先降后升的轨迹。模型往往需要更长时间的训练才能达到最优泛化性能。 - **数据质量与结构**:经验证的长思维链数据能够带来稳定的跨域性能提升,而低质量的推理结果或无思维链(No-CoT)数据则可能引入误导性信号,或导致泛化表现不佳。 - **模型能力**:相较于参数规模较小的基础模型,能力更强的基础模型更擅长内化可迁移的程序性推理模式(例如回溯推理)。 - **非对称泛化**:研究发现,尽管通过长思维链监督微调能够提升推理能力,但模型的安全性可能同时出现下降。与之相对,无思维链数据虽然带来的推理提升有限,却能带来更优的安全性表现。 ## 资源 - **论文**:[arXiv:2604.06628](https://huggingface.co/papers/2604.06628) - **代码**:[官方GitHub仓库](https://github.com/Nebularaid2000/rethink_sft_generalization) - **模型集合**:[Hugging Face 模型集合](https://huggingface.co/collections/jasonrqh/rethink-sft-generalization) ## 开源模型列表 以下为实验中训练的所有模型,包括中间检查点与最终模型: | 模型名称 | Hugging Face 链接 | ModelScope 链接 | | --- | --- | --- | | Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs256 | [Hugging Face](https://huggingface.co/jasonrqh/Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs256) | [ModelScope](https://modelscope.cn/models/nebularaid/Qwen3-14B_Math-CoT-20k_lr5e-5_ep1_bs256) | ...(其余模型列表省略) ## 开源数据集列表 以下为实验中使用的主要数据集: | 数据集名称 | 描述 | 规模 | Hugging Face 链接 | ModelScope 链接 | | --- | --- | --- | --- | --- | | Math-CoT-20k | 经验证的长思维链数学推理数据,为论文中的默认设置 | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/Math-CoT-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/Math-CoT-20k) | | Math-NoCoT-20k | 移除了思维链轨迹的Math-CoT-20k数据,保留最终总结与答案 | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/Math-NoCoT-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/Math-NoCoT-20k) | | Countdown-CoT-20k | 倒计时算术游戏的长思维链数据 | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/Countdown-CoT-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/Countdown-CoT-20k) | | NuminaMath-20k | 源自NuminaMath-1.5的无思维链数学数据 | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/NuminaMath-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/NuminaMath-20k) | | DeepSeek-R1-20k | 源自LUFFY数据集的DeepSeek-R1生成的长思维链数据 | 20,480 | [Hugging Face](https://huggingface.co/datasets/jasonrqh/DeepSeek-R1-20k) | [ModelScope](https://modelscope.cn/datasets/nebularaid/DeepSeek-R1-20k) | ## 引用 bibtex @article{ren2026rethinking, title={Rethinking Generalization in Reasoning SFT: A Conditional Analysis on Optimization, Data, and Model Capability}, author={Qihan Ren, Peng Wang, Ruikun Cai, Shuai Shao, Dadi Guo, Yuejin Xie, Yafu Li, Quanshi Zhang, Xia Hu, Jing Shao, Dongrui Liu}, journal={arXiv preprint arXiv:2604.06628}, year={2026} }




