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[More Information Needed]
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### Training Procedure
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<!-- This relates heavily to the Technical Specifications. Content here should link to that section when it is relevant to the training procedure. -->
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#### Preprocessing [optional]
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[More Information Needed]
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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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#### Speeds, Sizes, Times [optional]
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<!-- This section provides information about throughput, start/end time, checkpoint size if relevant, etc. -->
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[More Information Needed]
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## Evaluation
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<!-- This section describes the evaluation protocols and provides the results. -->
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### Testing Data, Factors & Metrics
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#### Testing Data
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<!-- This should link to a Dataset Card if possible. -->
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[More Information Needed]
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#### Factors
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<!-- These are the things the evaluation is disaggregating by, e.g., subpopulations or domains. -->
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[More Information Needed]
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#### Metrics
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<!-- These are the evaluation metrics being used, ideally with a description of why. -->
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[More Information Needed]
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### Results
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[More Information Needed]
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#### Summary
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## Model Examination [optional]
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<!-- Relevant interpretability work for the model goes here -->
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[More Information Needed]
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## Environmental Impact
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<!-- Total emissions (in grams of CO2eq) and additional considerations, such as electricity usage, go here. Edit the suggested text below accordingly -->
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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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- **Hardware Type:** [More Information Needed]
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- **Hours used:** [More Information Needed]
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- **Cloud Provider:** [More Information Needed]
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- **Compute Region:** [More Information Needed]
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- **Carbon Emitted:** [More Information Needed]
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## Technical Specifications [optional]
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### Model Architecture and Objective
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[More Information Needed]
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### Compute Infrastructure
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[More Information Needed]
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#### Hardware
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[More Information Needed]
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#### Software
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[More Information Needed]
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## Citation [optional]
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<!-- If there is a paper or blog post introducing the model, the APA and Bibtex information for that should go in this section. -->
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**BibTeX:**
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[More Information Needed]
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**APA:**
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[More Information Needed]
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## Glossary [optional]
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<!-- If relevant, include terms and calculations in this section that can help readers understand the model or model card. -->
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[More Information Needed]
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## More Information [optional]
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[More Information Needed]
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## Model Card Authors [optional]
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[More Information Needed]
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## Model Card Contact
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[More Information Needed]
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# II-Thought-1.5B-Preview
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## Overview
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**II-Thought-1.5B-Preview** is a Reinforcement Learning enhanced language model trained on **a subset of [II-Thought-RL-v0](https://huggingface.co/datasets/Intelligent-Internet/II-Thought-RL-v0)**, the first large-scale, multi-task dataset designed for RL. While II-Thought-RL-v0 spans multiple domains (mathematics, coding, medicine, science, etc.), this preview release was trained on randomly sampled **50K math subset** ([dataset link](https://huggingface.co/datasets/Intelligent-Internet/II-Thought-RL-v0-Math-50K)).
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## Training Methodology
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- **Framework**: [ii_thought](https://github.com/Intelligent-Internet/ii-thought) / [verl](https://github.com/volcengine/verl)
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- **Algorithm**: GRPO
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- **Reward Modeling**
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- **Answer correctness reward**
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<img src="https://cdn-uploads.huggingface.co/production/uploads/67c563afa34e1ad5a3533ccf/X15GjihIRO9hkfL361Pfd.png" width="500">
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- **Format correctness reward**
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<img src="https://cdn-uploads.huggingface.co/production/uploads/67c563afa34e1ad5a3533ccf/ib5bJu4lMkREigExRAUn9.png" width="500">
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- **Final reward function**
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<img src="https://cdn-uploads.huggingface.co/production/uploads/67c563afa34e1ad5a3533ccf/UXsKqJIFjCpT_vUUSTigr.png" width="500">
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For a deeper look into the implementation details, refer to the our repository: [Intelligent-Internet/ii-thought](https://github.com/Intelligent-Internet/ii-thought/tree/main).
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## Evaluation Results
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We used the [EvalScope](https://github.com/modelscope/evalscope) to evaluate models and report Pass@1 accuracy across all benchmarks. The number of responses generated per problem is as follows:
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- 64 responses: `AMC23, AIME24, AIME25, Vietnamese-Entrance-Math-Exam`
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- 8 responses: `Minerva-Math, Math-Gakao-2023-English`
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- 4 responses: `Math500, Olympiad-Bench`
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- 1 responses: `IFEval`
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Sampling Configs:
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- Max context length: 16384
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- Temperature: 0.6
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- Top p: 0.95
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- Top k: 40
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- seed: 42
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| Benchmark | DeepSeek-R1-Distill-Qwen-1.5B | II-Thought-1.5B-Preview |
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|-----------|-------------------------------|--------------------------|
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| AMC23 | 68.48 | **79.41** |
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| AIME24 | 28.07 | **33.39** |
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| AIME25 | 22.6 | **25.68** |
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| Olympiad Bench | 42.04 | **51.63** |
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| Math500 | 82.3 | **86.8** |
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| Math Gakao 2023 English | 72.18 | **76.85** |
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| Minerva Math | 27.62 | **31.89** |
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| Vietnamese Entrance Math Exam | 39.85 | **45.12** |
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| LiveCodeBench | 16.66 | **19.84** |
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| IFEval | 41.95 | **45.56** |
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| **Average** | 44.175 | **49.61** |
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## How To Use
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Our model can be utilized in the same manner as Qwen or Deepseek-R1-Distill models.
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For instance, you can easily start a service using [vLLM](https://github.com/vllm-project/vllm):
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```bash
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vllm serve Intelligent-Internet/II-Thought-1.5B-Preview
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```
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You can also easily start a service using [SGLang](https://github.com/sgl-project/sglang)
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```bash
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python -m sglang.launch_server --model Intelligent-Internet/II-Thought-1.5B-Preview
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```
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### Usage Guidelines
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- Recommended Sampling Parameters: temperature = 0.6, top_p = 0.95
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- For mathematical problems, explicitly request step-by-step reasoning and format the final answer within `\\boxed{}` (e.g., *"Please reason step by step, and put your final answer within \\boxed{}."*).
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## Citation
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```bib
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@misc{2025iithought,
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title={II-Thought : A Large-Scale, High-Quality Reasoning Dataset},
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author={Intelligent Internet}
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year={2025},
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}
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```
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