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Summary of Champ: a Competition-level Dataset For Fine-grained Analyses Of Llms’ Mathematical Reasoning Capabilities, by Yujun Mao et al.


CHAMP: A Competition-level Dataset for Fine-Grained Analyses of LLMs’ Mathematical Reasoning Capabilities

by Yujun Mao, Yoon Kim, Yilun Zhou

First submitted to arxiv on: 13 Jan 2024

Categories

  • Main: Computation and Language (cs.CL)
  • Secondary: Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
Medium Difficulty summary: Recent advancements in large language models (LLMs) have demonstrated impressive mathematical reasoning abilities on challenging problems, particularly when employing self-generated verbalizations of intermediate reasoning steps. However, current evaluations primarily focus on the final answer correctness, leaving unclear whether LLMs can effectively utilize helpful side information such as problem-specific hints. To address this gap, we propose a benchmark dataset, Concept and Hint-Annotated Math Problems (CHAMP), consisting of high school math competition problems annotated with concepts, hints, and related problems. This corpus allows us to explore the effects of additional information, including relevant hints, misleading concepts, or related problems. Our findings indicate that some models can benefit from these annotations, while others struggle to verify their solutions.
Low GrooveSquid.com (original content) Low Difficulty Summary
Low Difficulty summary: Researchers have been studying how computers can solve math problems like humans do. They’ve found that some computer programs are really good at solving tricky math problems if they’re given hints or extra information. The problem is that we don’t know which hints or information will help the most. To answer this question, scientists created a special set of math problems with hints and extra details. They tested how well different computer programs could solve these problems and found that some programs got better when they had more information, while others got worse. This helps us understand how computers can get smarter at solving math problems.

Keywords

* Artificial intelligence