Improve model card for Variational-Reasoning-4B-Acc

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- # Model Card for Model ID
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- <!-- Provide a quick summary of what the model is/does. -->
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  ## Model Details
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  ### Model Description
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- This is the model card of a 🤗 transformers model that has been pushed on the Hub. This model card has been automatically generated.
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  ## Uses
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  ### Direct Use
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  ## Bias, Risks, and Limitations
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  ### Recommendations
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- Users (both direct and downstream) should be made aware of the risks, biases and limitations of the model. More information needed for further recommendations.
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  ## How to Get Started with the Model
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- Use the code below to get started with the model.
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  ## Training Details
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  ### Training Data
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  ### Training Procedure
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- #### Preprocessing [optional]
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  #### Training Hyperparameters
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- - **Training regime:** [More Information Needed] <!--fp32, fp16 mixed precision, bf16 mixed precision, bf16 non-mixed precision, fp16 non-mixed precision, fp8 mixed precision -->
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  ## Evaluation
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  ### Testing Data, Factors & Metrics
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- Carbon emissions can be estimated using the [Machine Learning Impact calculator](https://mlco2.github.io/impact#compute) presented in [Lacoste et al. (2019)](https://arxiv.org/abs/1910.09700).
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- ## Technical Specifications [optional]
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  library_name: transformers
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+ pipeline_tag: text-generation
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+ license: apache-2.0
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+ base_model: Qwen3-4B-Base
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+ tags:
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+ - qwen3
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+ - reasoning
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+ - variational-inference
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  ---
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+ # Model Card for Variational-Reasoning-4B-Acc
 
 
 
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+ This model is `Variational-Reasoning-4B-Acc`, a part of the "Variational Reasoning for Language Models" framework, which was introduced in the paper [Variational Reasoning for Language Models](https://huggingface.co/papers/2509.22637). This framework treats thinking traces as latent variables and optimizes them through variational inference, aiming to provide stable objectives for improving the reasoning ability of language models.
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  ## Model Details
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  ### Model Description
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+ The `Variational-Reasoning-4B-Acc` model implements a variational reasoning framework that extends the evidence lower bound (ELBO) to a multi-trace objective and proposes a forward-KL formulation to stabilize the training of the variational posterior. It provides a principled probabilistic perspective that unifies variational inference with RL-style methods. This specific model checkpoint is based on the `Qwen3-4B-Base` backbone and is optimized using an accuracy-based estimator. It has been empirically validated across a wide range of reasoning tasks.
 
 
 
 
 
 
 
 
 
 
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+ - **Developed by:** Xiangxin Zhou, Zichen Liu, Haonan Wang, Chao Du, Min Lin, Chongxuan Li, Liang Wang, Tianyu Pang
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+ - **Model type:** Causal Language Model (Qwen2ForCausalLM)
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+ - **Language(s) (NLP):** English
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+ - **License:** Apache 2.0
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+ - **Finetuned from model:** Qwen3-4B-Base
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+ ### Model Sources
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+ - **Repository:** [https://github.com/sail-sg/variational-reasoning](https://github.com/sail-sg/variational-reasoning)
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+ - **Paper:** [https://huggingface.co/papers/2509.22637](https://huggingface.co/papers/2509.22637)
 
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  ## Uses
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  ### Direct Use
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+ This model is primarily intended for research and development in improving the reasoning capabilities of language models. It can be directly used for tasks requiring advanced reasoning, multi-step problem solving, and generating coherent "thinking traces".
 
 
 
 
 
 
 
 
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  ### Out-of-Scope Use
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+ The model is not intended for generating harmful content, hate speech, or discriminatory language. Users should exercise caution and ensure responsible deployment. It is not designed for real-world factual retrieval without external knowledge sources or applications requiring perfect accuracy in highly sensitive domains.
 
 
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  ## Bias, Risks, and Limitations
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+ As with all large language models, this model may inherit biases present in its training data. Users should be aware of potential biases and limitations in its reasoning abilities, especially in complex or sensitive contexts. Further analysis of its behavior in specific application areas is recommended.
 
 
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  ### Recommendations
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+ Users (both direct and downstream) should be made aware of the risks, biases, and limitations of the model. Continuous monitoring and evaluation for unintended consequences are recommended.
 
 
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  ## How to Get Started with the Model
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+ For detailed instructions on how to load, use, train, and evaluate the model, please refer to the official [GitHub repository](https://github.com/sail-sg/variational-reasoning). The repository provides comprehensive scripts and guidelines to reproduce the experiments and work with the model effectively.
 
 
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  ## Training Details
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  ### Training Data
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+ The `Variational-Reasoning-4B-Acc` model was trained using specific datasets, including `Variational-Posterior-4B-Acc-mix` (as indicated in the GitHub repository's model table). The training process involves multiple stages that generate and utilize intermediate datasets for the initial reasoning model and the variational posterior. Detailed information about data processing and dataset specifics can be found in the [GitHub repository](https://github.com/sail-sg/variational-reasoning).
 
 
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  ### Training Procedure
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+ The training procedure for the variational reasoning framework is multi-staged and builds upon `LLaMA-Factory` and `SkyThought`. It involves:
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+ 1. Training an initial reasoning model ($\pi_{\theta_0}$).
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+ 2. Training a variational posterior ($q_\phi$).
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+ 3. Sampling from the variational posterior.
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+ 4. Estimating log likelihoods using both models.
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+ 5. (Optional) Sampling from the initial reasoning model and verification.
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+ 6. Building the dataset for training the final reasoning model ($\pi_\theta$) using an accuracy-based estimator (for this specific model).
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+ 7. Training the final reasoning model ($\pi_\theta$).
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+ Detailed scripts, configurations (e.g., `LLaMA-Factory/examples/variational_reasoning/*.yaml`), and instructions for each step are available in the [GitHub repository's training section](https://github.com/sail-sg/variational-reasoning#training).
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  #### Training Hyperparameters
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+ Training scripts assume 2 nodes with 8 H100 GPUs each. Users with different hardware configurations are advised to adjust `gradient_accumulation_steps` to maintain a constant effective batch size. Specific hyperparameters are detailed in the YAML configuration files within the GitHub repository.
 
 
 
 
 
 
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  ## Evaluation
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  ### Testing Data, Factors & Metrics
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+ The models are empirically validated on the Qwen 2.5 and Qwen 3 model families across a wide range of reasoning tasks. The evaluation process is conducted using the SkyThought evaluation suite. Specific evaluation protocols, testing data, factors, and metrics (e.g., accuracy based on verification) are detailed in the [GitHub repository's evaluation section](https://github.com/sail-sg/variational-reasoning#evaluation), particularly referring to `SkyThought/variational_reasoning/eval/eval.sh`.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ### Results
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+ The paper and the GitHub repository provide empirical validation and results demonstrating improved reasoning abilities. For specific performance metrics and comparisons, refer to the original paper and the GitHub repository.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ ## Citation
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+ If you find this work useful, please consider citing our paper:
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+ ```bib
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+ @article{zhou2025variationalreasoninglanguagemodels,
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+ title={Variational Reasoning for Language Models},
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+ author={Xiangxin Zhou and Zichen Liu and Haonan Wang and Chao Du and Min Lin and Chongxuan Li and Liang Wang and Tianyu Pang},
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+ journal={arXiv preprint arXiv:2509.22637},
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+ year={2025}
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+ }
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+ ```