Learning Multi-Step Reasoning by Solving Arithmetic Tasks

Published: 28 Oct 2023, Last Modified: 08 Nov 2023MATH-AI 23 PosterEveryoneRevisionsBibTeX
Keywords: Multi-step reasoning, mathematical reasoning
TL;DR: A continual pre-training method for enhancing language models' math reasoning ability
Abstract: Mathematical reasoning is regarded as a neces- sary ability for Language Models (LMs). Recent works demonstrate large LMs’ impressive performance in solving math problems. The success is attributed to their Chain-of-Thought (CoT) reasoning abilities, i.e., the ability to decompose complex questions into step-by-step reasoning chains, but such ability seems only to emerge from models with abundant parameters. This work investigates how to incorporate relatively small LMs with the capabilities of multi-step reasoning. We propose to inject such abilities by continually pre-training LMs on a synthetic dataset MsAT which is composed of Multi-step Arithmetic Tasks. Our experiments on four math word problem datasets show the effectiveness of the proposed method in enhancing LMs’ math reasoning abilities.
Submission Number: 1