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  # Qwen3-8B-CalibSFT-RLCR
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- Qwen3-8B trained with **CalibSFT followed by RLCR**, from the paper [On the Pitfalls of Verbalized Confidence Priors for Calibrating Large Reasoning Models](https://arxiv.org/abs/2609.32470). The model solves a problem, then states its answer and a verbalized confidence between 0 and 1. It is initialized from [SUSTech/Qwen3-8B-CalibSFT](https://huggingface.co/SUSTech/Qwen3-8B-CalibSFT).
 
 
 
 
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- - **Code:** https://github.com/ml-stat-Sustech/verbalized-confidence-training
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- - **Training data:** [SUSTech/CalibSFT-DeepScaleR](https://huggingface.co/datasets/SUSTech/CalibSFT-DeepScaleR)
 
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  ## Usage
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- The model expects the system prompt and user format used during training:
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  ```python
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  from transformers import AutoModelForCausalLM, AutoTokenizer
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  model_id = "SUSTech/Qwen3-8B-CalibSFT-RLCR"
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  tokenizer = AutoTokenizer.from_pretrained(model_id)
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- model = AutoModelForCausalLM.from_pretrained(model_id, torch_dtype="auto", device_map="auto")
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  SYSTEM_PROMPT = (
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  "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. "
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  inputs = tokenizer(text, return_tensors="pt").to(model.device)
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  outputs = model.generate(**inputs, max_new_tokens=16384, do_sample=True, temperature=0.6, top_p=0.95, top_k=20)
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  print(tokenizer.decode(outputs[0][inputs.input_ids.shape[1]:], skip_special_tokens=True))
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- # Output format: <think> ... </think> <answer> ... </answer> <confidence> 0.xx </confidence>
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  ```
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- ## Training
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-
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- The model starts from [SUSTech/Qwen3-8B-CalibSFT](https://huggingface.co/SUSTech/Qwen3-8B-CalibSFT) and is trained with RLCR on DeepScaleR. RLCR rewards answer correctness and format together with a Brier calibration reward on the stated confidence. Training follows the DAPO recipe with dynamic sampling, and questions that the base model already solves in every sampled response are removed beforehand.
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-
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- | Hyperparameter | Value |
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- | --- | --- |
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- | Responses per question | 8 |
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- | Questions per batch | 64 |
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- | Mini-batch size | 32 |
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- | Steps | 160 |
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- | Learning rate | 2e-6, cosine decay to 1e-6 after 10 warm-up steps |
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- | Clip ratio (low / high) | 0.2 / 0.28 |
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- | KL coefficient | 0 |
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- | Max response length | 8,192 tokens |
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- | Seed | 45 |
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-
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  ## Evaluation
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- Temperature 0.6, 4 responses per question (32 on AIME). Metrics are percentages averaged over 8 in-distribution math benchmarks (DeepScaleR-Eval, MATH-500, MinervaMath, OlympiadBench, GSM8K, AIME 2024–2026) and 8 out-of-distribution benchmarks (HotpotQA, TriviaQA, DROP, MuSiQue, LiveBenchReasoning, NQOpen, PopQA, WebQuestions).
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  | Model | ID Pass@1 ↑ | ID AUROC ↑ | ID Brier ↓ | ID ECE ↓ | OOD Pass@1 ↑ | OOD AUROC ↑ | OOD Brier ↓ | OOD ECE ↓ |
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  | --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: |
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  | Qwen3-8B | 59.32 | 71.90 | 33.20 | 34.36 | 45.36 | 65.71 | 45.15 | 46.94 |
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  | Qwen3-8B-RLCR | 65.33 | 82.36 | 14.43 | 14.46 | 43.96 | 69.38 | 31.14 | 31.17 |
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- | Qwen3-8B-CalibSFT | 58.51 | 79.93 | 17.30 | 14.23 | 46.37 | 61.20 | 29.15 | 25.49 |
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  | **Qwen3-8B-CalibSFT-RLCR** | 67.20 | 86.32 | 12.77 | 8.59 | 45.71 | 71.31 | 23.24 | 18.20 |
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- Qwen3-8B and CalibSFT were evaluated with up to 6,144 generated tokens and the RLCR models with up to 16,384.
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-
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  ## Citation
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  ```bibtex
 
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  # Qwen3-8B-CalibSFT-RLCR
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+ <p align="center">
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+ <a href="https://arxiv.org/abs/2609.32470"><img src="https://img.shields.io/badge/Paper-arXiv-b31b1b.svg?logo=arxiv" alt="Paper"></a>
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+ <a href="https://github.com/ml-stat-Sustech/verbalized-confidence-training"><img src="https://img.shields.io/badge/Code-GitHub-181717.svg?logo=github" alt="Code"></a>
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+ <a href="https://huggingface.co/datasets/SUSTech/CalibSFT-DeepScaleR"><img src="https://img.shields.io/badge/Dataset-Hugging%20Face-ffd21e.svg?logo=huggingface" alt="Dataset"></a>
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+ </p>
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+ ## Introduction
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+
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+ Qwen3-8B-CalibSFT-RLCR is [Qwen3-8B-CalibSFT](https://huggingface.co/SUSTech/Qwen3-8B-CalibSFT) further trained with RLCR, a confidence-aware reinforcement learning method. It is released with our paper [On the Pitfalls of Verbalized Confidence Priors for Calibrating Large Reasoning Models](https://arxiv.org/abs/2609.32470). Compared with RLCR trained from Qwen3-8B, it improves accuracy, discrimination, and calibration on both in-distribution and out-of-distribution benchmarks. For training details, please refer to our [GitHub repository](https://github.com/ml-stat-Sustech/verbalized-confidence-training).
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  ## Usage
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+ Use the system prompt and user format from training:
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  ```python
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  from transformers import AutoModelForCausalLM, AutoTokenizer
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  model_id = "SUSTech/Qwen3-8B-CalibSFT-RLCR"
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  tokenizer = AutoTokenizer.from_pretrained(model_id)
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+ model = AutoModelForCausalLM.from_pretrained(model_id, dtype="auto", device_map="auto")
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  SYSTEM_PROMPT = (
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  "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. "
 
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  inputs = tokenizer(text, return_tensors="pt").to(model.device)
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  outputs = model.generate(**inputs, max_new_tokens=16384, do_sample=True, temperature=0.6, top_p=0.95, top_k=20)
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  print(tokenizer.decode(outputs[0][inputs.input_ids.shape[1]:], skip_special_tokens=True))
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+ # <think> ... </think> <answer> ... </answer> <confidence> 0.xx </confidence>
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  ```
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  ## Evaluation
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+ Results are averaged over 8 in-distribution math benchmarks (DeepScaleR-Eval, MATH-500, MinervaMath, OlympiadBench, GSM8K, AIME 2024–2026) and 8 out-of-distribution benchmarks (HotpotQA, TriviaQA, DROP, MuSiQue, LiveBenchReasoning, NQOpen, PopQA, WebQuestions), sampling at temperature 0.6 with 4 responses per question (32 on AIME). DeepScaleR-Eval consists of 2,000 DeepScaleR questions held out from training.
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  | Model | ID Pass@1 ↑ | ID AUROC ↑ | ID Brier ↓ | ID ECE ↓ | OOD Pass@1 ↑ | OOD AUROC ↑ | OOD Brier ↓ | OOD ECE ↓ |
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  | --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: |
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  | Qwen3-8B | 59.32 | 71.90 | 33.20 | 34.36 | 45.36 | 65.71 | 45.15 | 46.94 |
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  | Qwen3-8B-RLCR | 65.33 | 82.36 | 14.43 | 14.46 | 43.96 | 69.38 | 31.14 | 31.17 |
 
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  | **Qwen3-8B-CalibSFT-RLCR** | 67.20 | 86.32 | 12.77 | 8.59 | 45.71 | 71.31 | 23.24 | 18.20 |
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  ## Citation
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  ```bibtex