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Weak-to-Strong Reasoning

This is the official repository for the paper Weak-to-Strong Reasoning.

🚀Introduction

We explore weak-to-strong learning for complex reasoning tasks, where a less capable model enhances the reasoning capabilities of a stronger one. Our progressive learning framework enables the strong model to autonomously refine its training data without requiring input from more advanced models or human-annotated data. The framework consists of two main stages:

  1. Supervised fine-tuning on a selective, small, but high-quality dataset;
  2. Preference optimization on contrastive samples identified by the strong model itself.

The overview of our framework is as follows:

📖Resources

Data

We split the training set into train_1.jsonl and train_2.jsonl:

  • The weak model uses train_1.jsonl to develop initial reasoning skills;
  • The strong model can only access questions from train_2.jsonl without ground truths.

The original data is available in data/raw. Note that we augment the GSM8K training set with the data constructed by Abel.

For experiments closer to future scenarios on OlympicArena, we only use train_2 without ground truths. In the implementation, we use the test split as the train_2 set, and the val split as the test set. Please refer to the load_data code for more details.

Data Statistics

train_1 train_2 test
GSM8K 7,000 7,000 1,319
MATH 6,000 6,000 500
OlympicArena - 6,020 313

Additional Data Resources

  • outputs/: Solutions generated by three weak models (llama2-7b, gemma-2b, and mistral-7b) for train_2.
  • data/test/: Processed data for evaluation (created using data/process.py).
  • data/llama_factory/: All data used for training (including stage I: supervised fine-tuning and stage II: DPO or ORPO).

Checkpoints

We have released LoRA adapters that have undergone two-stage weak-to-strong training on Hugging Face Hub.

👓Inference

We provide inference code using vllm in the src/ directory.

Setup

  1. Install the required packages:
pip install transformers==4.38.1 torch==2.1.2 vllm==0.3.3
  1. Install any other necessary dependencies.

Running Inference

Refer to run_gsm8k.sh, run_math.sh and run_olympic.sh for zero-shot, few-shot, or temperature sampling inference. Few-shot templates can be found in src/prompt/template.py.

For the evaluation on OlympicArena, please refer to the OlympicArena repository.

🛠️Training

Constructing Training Data

To generate the actual training data (as provided in data/llama_factory), use src/construct_training_data.py:

  1. For stage I (supervised fine-tuning):

    • Run the construct_weak_icl_data function to find the intersection of weak data and ICL data where final answers are consistent.

  2. For stage II (preference optimization):

    • Generate sampling data with temperature=1.0.
    • Use construct_paired_data_gsm8k and construct_paired_data_math functions to create paired data.

For OlympicArena, please use judge.py in the OlympicArena repository to judge the consistency of two given responses and modify the constructing training data code accordingly.

Training Process

We employ LLaMA-Factory for all model training:

  • v0.5.0 for supervised fine-tuning and DPO
  • v0.6.2 for ORPO support

All training data and dataset_info.json are provided in data/llama_factory. For detailed training instructions, please refer to the LLaMA-Factory repository. There are two arguments worth noting, we use a new vanilla template without any specified formats, and we train on q_proj,v_proj,k_proj,o_proj,gate_proj,up_proj,down_proj as the lora_target.

🥳Citation

If you find our work useful, please cite our paper:

@misc{yang2024weaktostrongreasoning,
      title={Weak-to-Strong Reasoning}, 
      author={Yuqing Yang and Yan Ma and Pengfei Liu},
      year={2024},
      eprint={2407.13647},
      archivePrefix={arXiv},
      primaryClass={cs.CL},
      url={https://arxiv.org/abs/2407.13647}, 
}