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Summary of Physics Of Language Models: Part 2.2, How to Learn From Mistakes on Grade-school Math Problems, by Tian Ye et al.


Physics of Language Models: Part 2.2, How to Learn From Mistakes on Grade-School Math Problems

by Tian Ye, Zicheng Xu, Yuanzhi Li, Zeyuan Allen-Zhu

First submitted to arxiv on: 29 Aug 2024

Categories

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

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GrooveSquid.com Paper Summaries

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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
Recent advancements in language models have led to impressive performance in solving reasoning tasks. However, even top-performing models still make mistakes occasionally. This paper builds upon the idea of using pre-trained language models to “self-correct” errors through multi-round prompting, but takes a different approach by incorporating error-correction data directly into the pretraining stage. The study uses a synthetic math dataset and demonstrates promising results, showing that this type of pretrain data can improve reasoning accuracy without requiring multi-round prompting. The paper also explores various details, including differences with beam search, preparation methods, masking requirements, and deferring error data to fine-tuning.
Low GrooveSquid.com (original content) Low Difficulty Summary
Imagine a super smart computer program that can solve math problems really well, but sometimes makes mistakes. Scientists are trying to make this program even better by letting it learn from its own mistakes. This paper is about a new way to teach the program by giving it wrong answers and then correcting them. The results show that this method helps the program be more accurate in solving math problems without needing multiple attempts. It’s like teaching a student by showing them what not to do, so they can learn from their mistakes.

Keywords

» Artificial intelligence  » Fine tuning  » Pretraining  » Prompting