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Summary of Common 7b Language Models Already Possess Strong Math Capabilities, by Chen Li et al.


Common 7B Language Models Already Possess Strong Math Capabilities

by Chen Li, Weiqi Wang, Jingcheng Hu, Yixuan Wei, Nanning Zheng, Han Hu, Zheng Zhang, Houwen Peng

First submitted to arxiv on: 7 Mar 2024

Categories

  • Main: Computation and Language (cs.CL)
  • Secondary: Artificial Intelligence (cs.AI)

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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
The paper explores the mathematical capabilities of language models, specifically the LLaMA-2 7B model with common pre-training. Contrary to previous assumptions, this model demonstrates strong math abilities, achieving impressive accuracy on GSM8K (97.7%) and MATH (72.0%) benchmarks when generating multiple responses. However, the model’s primary limitation is its inconsistency in eliciting mathematical capabilities. Scaling up SFT data enhances reliability, but is constrained by the scarcity of public math questions. To overcome this, the authors employ synthetic data, which proves nearly as effective as real data and shows no saturation when scaled up to one million samples. This approach achieves higher accuracy on GSM8K (82.6%) and MATH (40.6%) benchmarks compared to previous models.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper is about a new type of computer model that can do math problems really well. The model, called LLaMA-2 7B, was trained using common language, not just math formulas. It’s able to solve complex math problems with high accuracy, but it has trouble consistently doing this. To fix this, the researchers tried increasing the amount of training data and found that this helped a lot. They also created fake math questions, which allowed them to train the model even further. This approach led to even better results than previous models.

Keywords

» Artificial intelligence  » Llama  » Synthetic data