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NumGLUE: A Suite of Fundamental yet Challenging Mathematical Reasoning Tasks

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arxiv 2204.05660 v1 pith:VLLCYD3D submitted 2022-04-12 cs.CL cs.AIcs.LG

classification cs.CLcs.AIcs.LG
keywords reasoningnumglueperformsystemstaskslanguagemathematicalmodels
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Given the ubiquitous nature of numbers in text, reasoning with numbers to perform simple calculations is an important skill of AI systems. While many datasets and models have been developed to this end, state-of-the-art AI systems are brittle; failing to perform the underlying mathematical reasoning when they appear in a slightly different scenario. Drawing inspiration from GLUE that was proposed in the context of natural language understanding, we propose NumGLUE, a multi-task benchmark that evaluates the performance of AI systems on eight different tasks, that at their core require simple arithmetic understanding. We show that this benchmark is far from being solved with neural models including state-of-the-art large-scale language models performing significantly worse than humans (lower by 46.4%). Further, NumGLUE promotes sharing knowledge across tasks, especially those with limited training data as evidenced by the superior performance (average gain of 3.4% on each task) when a model is jointly trained on all the tasks as opposed to task-specific modeling. Finally, we hope that NumGLUE will encourage systems that perform robust and general arithmetic reasoning within language, a first step towards being able to perform more complex mathematical reasoning.

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  1. MultiLingPoT: Enhancing Mathematical Reasoning with Multilingual Program Fine-tuning

    cs.CL 2024-12 conditional novelty 6.0 of 10

    Training one model on Program-of-Thought solutions in four programming languages raises math accuracy for each language, and answer mixing outperforms single-language augmented training by up to about 6 percentage points.

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