Laying the Foundation First? Investigating the Generalization from Atomic Skills to Complex Reasoning Tasks

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Main Authors: Huang, Yuncheng, He, Qianyu, Xu, Yipei, Liang, Jiaqing, Xiao, Yanghua
Format: Preprint
Published: 2024
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author Huang, Yuncheng
He, Qianyu
Xu, Yipei
Liang, Jiaqing
Xiao, Yanghua
author_facet Huang, Yuncheng
He, Qianyu
Xu, Yipei
Liang, Jiaqing
Xiao, Yanghua
contents Current language models have demonstrated their capability to develop basic reasoning, but struggle in more complicated reasoning tasks that require a combination of atomic skills, such as math word problem requiring skills like arithmetic and unit conversion. Previous methods either do not improve the inherent atomic skills of models or not attempt to generalize the atomic skills to complex reasoning tasks. In this paper, we first propose a probing framework to investigate whether the atomic skill can spontaneously generalize to complex reasoning tasks. Then, we introduce a hierarchical curriculum learning training strategy to achieve better skill generalization. In our experiments, we find that atomic skills can not spontaneously generalize to compositional tasks. By leveraging hierarchical curriculum learning, we successfully induce generalization, significantly improve the performance of open-source LMs on complex reasoning tasks. Promisingly, the skill generalization exhibit effective in cross-dataset and cross-domain scenarios. Complex reasoning can also help enhance atomic skills. Our findings offer valuable guidance for designing better training strategies for complex reasoning tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09479
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Laying the Foundation First? Investigating the Generalization from Atomic Skills to Complex Reasoning Tasks
Huang, Yuncheng
He, Qianyu
Xu, Yipei
Liang, Jiaqing
Xiao, Yanghua
Machine Learning
Artificial Intelligence
Computation and Language
Current language models have demonstrated their capability to develop basic reasoning, but struggle in more complicated reasoning tasks that require a combination of atomic skills, such as math word problem requiring skills like arithmetic and unit conversion. Previous methods either do not improve the inherent atomic skills of models or not attempt to generalize the atomic skills to complex reasoning tasks. In this paper, we first propose a probing framework to investigate whether the atomic skill can spontaneously generalize to complex reasoning tasks. Then, we introduce a hierarchical curriculum learning training strategy to achieve better skill generalization. In our experiments, we find that atomic skills can not spontaneously generalize to compositional tasks. By leveraging hierarchical curriculum learning, we successfully induce generalization, significantly improve the performance of open-source LMs on complex reasoning tasks. Promisingly, the skill generalization exhibit effective in cross-dataset and cross-domain scenarios. Complex reasoning can also help enhance atomic skills. Our findings offer valuable guidance for designing better training strategies for complex reasoning tasks.
title Laying the Foundation First? Investigating the Generalization from Atomic Skills to Complex Reasoning Tasks
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2403.09479