Escape Sky-high Cost: Early-stopping Self-Consistency for Multi-step Reasoning

Fuente: arXiv
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Auteurs principaux: Li, Yiwei, Yuan, Peiwen, Feng, Shaoxiong, Pan, Boyuan, Wang, Xinglin, Sun, Bin, Wang, Heda, Li, Kan
Format: Preprint
Publié: 2024
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author Li, Yiwei
Yuan, Peiwen
Feng, Shaoxiong
Pan, Boyuan
Wang, Xinglin
Sun, Bin
Wang, Heda
Li, Kan
author_facet Li, Yiwei
Yuan, Peiwen
Feng, Shaoxiong
Pan, Boyuan
Wang, Xinglin
Sun, Bin
Wang, Heda
Li, Kan
contents Self-consistency (SC) has been a widely used decoding strategy for chain-of-thought reasoning. Despite bringing significant performance improvements across a variety of multi-step reasoning tasks, it is a high-cost method that requires multiple sampling with the preset size. In this paper, we propose a simple and scalable sampling process, \textbf{E}arly-Stopping \textbf{S}elf-\textbf{C}onsistency (ESC), to greatly reduce the cost of SC without sacrificing performance. On this basis, one control scheme for ESC is further derivated to dynamically choose the performance-cost balance for different tasks and models. To demonstrate ESC's effectiveness, we conducted extensive experiments on three popular categories of reasoning tasks: arithmetic, commonsense and symbolic reasoning over language models with varying scales. The empirical results show that ESC reduces the average number of sampling of chain-of-thought reasoning by a significant margin on six benchmarks, including MATH (-33.8%), GSM8K (-80.1%), StrategyQA (-76.8%), CommonsenseQA (-78.5%), Coin Flip (-84.2%) and Last Letters (-67.4%), while attaining comparable performances.
format Preprint
id arxiv_https___arxiv_org_abs_2401_10480
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Escape Sky-high Cost: Early-stopping Self-Consistency for Multi-step Reasoning
Li, Yiwei
Yuan, Peiwen
Feng, Shaoxiong
Pan, Boyuan
Wang, Xinglin
Sun, Bin
Wang, Heda
Li, Kan
Computation and Language
Artificial Intelligence
Self-consistency (SC) has been a widely used decoding strategy for chain-of-thought reasoning. Despite bringing significant performance improvements across a variety of multi-step reasoning tasks, it is a high-cost method that requires multiple sampling with the preset size. In this paper, we propose a simple and scalable sampling process, \textbf{E}arly-Stopping \textbf{S}elf-\textbf{C}onsistency (ESC), to greatly reduce the cost of SC without sacrificing performance. On this basis, one control scheme for ESC is further derivated to dynamically choose the performance-cost balance for different tasks and models. To demonstrate ESC's effectiveness, we conducted extensive experiments on three popular categories of reasoning tasks: arithmetic, commonsense and symbolic reasoning over language models with varying scales. The empirical results show that ESC reduces the average number of sampling of chain-of-thought reasoning by a significant margin on six benchmarks, including MATH (-33.8%), GSM8K (-80.1%), StrategyQA (-76.8%), CommonsenseQA (-78.5%), Coin Flip (-84.2%) and Last Letters (-67.4%), while attaining comparable performances.
title Escape Sky-high Cost: Early-stopping Self-Consistency for Multi-step Reasoning
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2401.10480