Multidimensional Consistency Improves Reasoning in Language Models

Fuente: arXiv
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Autores principales: Lai, Huiyuan, Zhang, Xiao, Nissim, Malvina
Formato: Preprint
Publicado: 2025
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author Lai, Huiyuan
Zhang, Xiao
Nissim, Malvina
author_facet Lai, Huiyuan
Zhang, Xiao
Nissim, Malvina
contents While Large language models (LLMs) have proved able to address some complex reasoning tasks, we also know that they are highly sensitive to input variation, which can lead to different solution paths and final answers. Answer consistency across input variations can thus be taken as a sign of stronger confidence. Leveraging this insight, we introduce a framework, {\em Multidimensional Reasoning Consistency} where, focusing on math problems, models are systematically pushed to diversify solution paths towards a final answer, thereby testing them for answer consistency across multiple input variations. We induce variations in (i) order of shots in prompt, (ii) problem phrasing, and (iii) languages used. Extensive experiments on a large range of open-source state-of-the-art LLMs of various sizes show that reasoning consistency differs by variation dimension, and that by aggregating consistency across dimensions, our framework consistently enhances mathematical reasoning performance on both monolingual dataset GSM8K and multilingual dataset MGSM, especially for smaller models.
format Preprint
id arxiv_https___arxiv_org_abs_2503_02670
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multidimensional Consistency Improves Reasoning in Language Models
Lai, Huiyuan
Zhang, Xiao
Nissim, Malvina
Computation and Language
While Large language models (LLMs) have proved able to address some complex reasoning tasks, we also know that they are highly sensitive to input variation, which can lead to different solution paths and final answers. Answer consistency across input variations can thus be taken as a sign of stronger confidence. Leveraging this insight, we introduce a framework, {\em Multidimensional Reasoning Consistency} where, focusing on math problems, models are systematically pushed to diversify solution paths towards a final answer, thereby testing them for answer consistency across multiple input variations. We induce variations in (i) order of shots in prompt, (ii) problem phrasing, and (iii) languages used. Extensive experiments on a large range of open-source state-of-the-art LLMs of various sizes show that reasoning consistency differs by variation dimension, and that by aggregating consistency across dimensions, our framework consistently enhances mathematical reasoning performance on both monolingual dataset GSM8K and multilingual dataset MGSM, especially for smaller models.
title Multidimensional Consistency Improves Reasoning in Language Models
topic Computation and Language
url https://arxiv.org/abs/2503.02670