Saved in:
Bibliographic Details
Main Authors: Zhou, Yongwei, Zhao, Tiejun
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.18295
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866917623905648640
author Zhou, Yongwei
Zhao, Tiejun
author_facet Zhou, Yongwei
Zhao, Tiejun
contents Recent advancements highlight the success of instruction tuning with large language models (LLMs) utilizing Chain-of-Thought (CoT) data for mathematical reasoning tasks. Despite the fine-tuned LLMs, challenges persist, such as incorrect, missing, and redundant steps in CoT generation leading to inaccuracies in answer predictions. To alleviate this problem, we propose a dual instruction tuning strategy to meticulously model mathematical reasoning from both forward and reverse directions. This involves introducing the Intermediate Reasoning State Prediction task (forward reasoning) and the Instruction Reconstruction task (reverse reasoning) to enhance the LLMs' understanding and execution of instructions. Training instances for these tasks are constructed based on existing mathematical instruction tuning datasets. Subsequently, LLMs undergo multi-task fine-tuning using both existing mathematical instructions and the newly created data. Comprehensive experiments validate the effectiveness and domain generalization of the dual instruction tuning strategy across various mathematical reasoning tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2403_18295
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dual Instruction Tuning with Large Language Models for Mathematical Reasoning
Zhou, Yongwei
Zhao, Tiejun
Computation and Language
Recent advancements highlight the success of instruction tuning with large language models (LLMs) utilizing Chain-of-Thought (CoT) data for mathematical reasoning tasks. Despite the fine-tuned LLMs, challenges persist, such as incorrect, missing, and redundant steps in CoT generation leading to inaccuracies in answer predictions. To alleviate this problem, we propose a dual instruction tuning strategy to meticulously model mathematical reasoning from both forward and reverse directions. This involves introducing the Intermediate Reasoning State Prediction task (forward reasoning) and the Instruction Reconstruction task (reverse reasoning) to enhance the LLMs' understanding and execution of instructions. Training instances for these tasks are constructed based on existing mathematical instruction tuning datasets. Subsequently, LLMs undergo multi-task fine-tuning using both existing mathematical instructions and the newly created data. Comprehensive experiments validate the effectiveness and domain generalization of the dual instruction tuning strategy across various mathematical reasoning tasks.
title Dual Instruction Tuning with Large Language Models for Mathematical Reasoning
topic Computation and Language
url https://arxiv.org/abs/2403.18295