How Multimodal Integration Boost the Performance of LLM for Optimization: Case Study on Capacitated Vehicle Routing Problems

Fuente: arXiv
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Autori principali: Huang, Yuxiao, Zhang, Wenjie, Feng, Liang, Wu, Xingyu, Tan, Kay Chen
Natura: Preprint
Pubblicazione: 2024
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author Huang, Yuxiao
Zhang, Wenjie
Feng, Liang
Wu, Xingyu
Tan, Kay Chen
author_facet Huang, Yuxiao
Zhang, Wenjie
Feng, Liang
Wu, Xingyu
Tan, Kay Chen
contents Recently, large language models (LLMs) have notably positioned them as capable tools for addressing complex optimization challenges. Despite this recognition, a predominant limitation of existing LLM-based optimization methods is their struggle to capture the relationships among decision variables when relying exclusively on numerical text prompts, especially in high-dimensional problems. Keeping this in mind, we first propose to enhance the optimization performance using multimodal LLM capable of processing both textual and visual prompts for deeper insights of the processed optimization problem. This integration allows for a more comprehensive understanding of optimization problems, akin to human cognitive processes. We have developed a multimodal LLM-based optimization framework that simulates human problem-solving workflows, thereby offering a more nuanced and effective analysis. The efficacy of this method is evaluated through extensive empirical studies focused on a well-known combinatorial optimization problem, i.e., capacitated vehicle routing problem. The results are compared against those obtained from the LLM-based optimization algorithms that rely solely on textual prompts, demonstrating the significant advantages of our multimodal approach.
format Preprint
id arxiv_https___arxiv_org_abs_2403_01757
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle How Multimodal Integration Boost the Performance of LLM for Optimization: Case Study on Capacitated Vehicle Routing Problems
Huang, Yuxiao
Zhang, Wenjie
Feng, Liang
Wu, Xingyu
Tan, Kay Chen
Artificial Intelligence
Computation and Language
Machine Learning
Neural and Evolutionary Computing
Optimization and Control
Recently, large language models (LLMs) have notably positioned them as capable tools for addressing complex optimization challenges. Despite this recognition, a predominant limitation of existing LLM-based optimization methods is their struggle to capture the relationships among decision variables when relying exclusively on numerical text prompts, especially in high-dimensional problems. Keeping this in mind, we first propose to enhance the optimization performance using multimodal LLM capable of processing both textual and visual prompts for deeper insights of the processed optimization problem. This integration allows for a more comprehensive understanding of optimization problems, akin to human cognitive processes. We have developed a multimodal LLM-based optimization framework that simulates human problem-solving workflows, thereby offering a more nuanced and effective analysis. The efficacy of this method is evaluated through extensive empirical studies focused on a well-known combinatorial optimization problem, i.e., capacitated vehicle routing problem. The results are compared against those obtained from the LLM-based optimization algorithms that rely solely on textual prompts, demonstrating the significant advantages of our multimodal approach.
title How Multimodal Integration Boost the Performance of LLM for Optimization: Case Study on Capacitated Vehicle Routing Problems
topic Artificial Intelligence
Computation and Language
Machine Learning
Neural and Evolutionary Computing
Optimization and Control
url https://arxiv.org/abs/2403.01757