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license: apache-2.0 |
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--- |
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# Dataset Card for "Calc-math_qa" |
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## Summary |
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This dataset is an instance of math_qa dataset, converted to a simple HTML-like language that can be easily parsed (e.g. by BeautifulSoup). The data contains 3 types of tags: |
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- gadget: A tag whose content is intended to be evaluated by calling an external tool (sympy-based calculator in this case) |
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- output: An output of the external tool |
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- result: The final answer of the mathematical problem (a number) |
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## Supported Tasks |
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The dataset is intended for training Chain-of-Thought reasoning **models able to use external tools** to enhance the factuality of their responses. |
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This dataset presents in-context scenarios where models can outsource the computations in the reasoning chain to a calculator. |
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## Construction Process |
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We took the original math_qa dataset, parsed the nested formulas, linearized them into a sequence (chain) of operations, and replace all advanced |
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function calls (such as `circle_area`) with explicit elementary operations. We evaluate all the steps in each example and filter out examples if their |
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evaluation does not match the answer selected as correct in the data with a 5% tolerance. The sequence of steps is then saved in HTML-like language |
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in the `chain` column. We keep the original columns in the dataset for convenience. |
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You can read more information about this process in our [technical report](https://arxiv.org/abs/2305.15017). |
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## Content and Data splits |
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Content and splits correspond to the original math_qa dataset. |
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See [mathqa HF dataset](https://huggingface.co./datasets/math_qa) and [official website](https://math-qa.github.io/) for more info. |
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Columns: |
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- `question` - th description of a mathematical problem in natural language |
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- `options` - dictionary with choices 'a' to 'e' as possible solutions |
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- `correct_option` - one of 'a', 'b', 'c', 'd', 'e' - should match with `result` |
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- `chain` - solution in the form of step-by-step calculations encoded in simple html-like language. computed from `annotated_formula` column |
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- `result` - the numerical result of the problem as a string (can be integer, floating number, fraction, ...) |
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- `result_float` - the result converted to a float |
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- `options_num` - same as 'options', but parsed to extract the number from string. This is best-effort only - not all values are (or can be) extracted correctly |
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- `rationale` - human-annotated free-text reasoning that leads to the correct answer |
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- `annotated_formula` - human-annotated nested expression that (approximately) evaluates to the selected correct answer |
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- `linear_formula` - same as `annotated_formula`, but linearized by original math_qa authors |
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- `index` - index of the example in the original math_qa dataset |
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## Licence |
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Apache 2.0, consistently with the original dataset. |
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## Cite |
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If you use this version of dataset in research, please cite the [original MathQA paper](https://arxiv.org/abs/1905.13319), and also [our technical report](https://arxiv.org/abs/2305.15017) as follows: |
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```bibtex |
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@article{kadlcik2023calcx, |
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title={Calc-X: Enriching Arithmetical Chain-of-Thoughts Datasets by Interaction with Symbolic Systems}, |
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author={Marek Kadlčík and Michal Štefánik}, |
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year={2023}, |
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eprint={2305.15017}, |
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archivePrefix={arXiv}, |
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primaryClass={cs.LG} |
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} |
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``` |
