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--- |
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pretty_name: Combi-Puzzles Dataset |
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license: mit |
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language: |
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- en |
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size_categories: |
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- n<1K |
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task_categories: |
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- text-generation |
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tags: |
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- maths |
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- combinatorics |
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- llms |
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--- |
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# Combi-Puzzles Dataset |
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[](https://arxiv.org/abs/2412.11908) |
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[](https://huggingface.co/datasets/andynik/combi-puzzles) |
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[](https://github.com/andynik/combi-puzzles) |
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This repository contains the Combi-Puzzles dataset used in the research paper titled "Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments." These variations are designed to evaluate problem-solving strategies across different formats. |
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## Dataset Description |
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The Combi-Puzzles dataset includes 125 problems: |
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- **25 Base Combinatorial Problems**: Covers permutations, combinations, rules of addition/multiplication, and object arrangements. |
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- **5 Variations per Problem**: |
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- **Common**: Standard textbook form. |
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- **Mathematical**: Academic, technical presentation. |
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- **Adversarial**: Includes additional irrelevant numerical information. |
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- **Parameterisation**: Altered numerical parameters. |
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- **Linguistic Obfuscation**: Narrative fictional stories with problem context and irrelevant information. |
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## JSON file structure |
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| Field | Type | Description | |
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|--------------------------------|-------------------------|---------------------------------------------------------------------------------------------------| |
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| `id` | integer | Unique identifier for this problem entry. | |
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| `versions` | array of object | All textual variants of the problem. | |
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| `versions[].version` | string | Label for the problem variant. | |
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| `versions[].problem_statement` | string | The problem text or template; may contain `$paramX$` placeholders. | |
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| `parameters` | array of object | Concrete parameter-sets to fill into templates in some versions. | |
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| `parameters[].group_id` | integer | Identifier grouping together sets of `param1`–`param4` values. | |
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| `parameters[].param1` | integer or string | First placeholder value. | |
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| `parameters[].param2` | integer or string | Second placeholder value. | |
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| `parameters[].param3` | integer or string | Third placeholder value. | |
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| `parameters[].param4` | integer or string | Fourth placeholder value. | |
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## Problem Example |
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The image above illustrates an example of a combinatorial problem and its variations. The highlighted text indicates content modifications based on the common version. The mathematical and linguistic obfuscation variations constitute the new text. |
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## Additional Information |
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The Combi-Puzzles dataset contains problems that have parameters expressed in string format (e.g. 12 as "twelve"): |
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- **Problems' ID with String Parameters**: 6, 12, 19, 20. |
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## Usage |
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You are encouraged to use this dataset to further evaluate problem-solving strategies in LLMs or other domains. Please cite our paper if you publish material based on this dataset. |
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## License |
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This dataset is licensed under the MIT License. See the `LICENSE` file for more details. |
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## Citation |
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Please cite the following if you use the dataset in your work: |
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```bibtex |
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@misc{nikolaiev2024languagemodelsrivalmathematics, |
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title={Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments}, |
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author={Andrii Nikolaiev and Yiannos Stathopoulos and Simone Teufel}, |
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year={2024}, |
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eprint={2412.11908}, |
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archivePrefix={arXiv}, |
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primaryClass={cs.CL}, |
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url={https://arxiv.org/abs/2412.11908}, |
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} |
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``` |
