Towards LLM-guided Efficient and Interpretable Multi-linear Tensor Network Rank Selection

Fuente: arXiv
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Main Authors: Iacovides, Giorgos, Zhou, Wuyang, Mandic, Danilo
Format: Preprint
Published: 2024
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author Iacovides, Giorgos
Zhou, Wuyang
Mandic, Danilo
author_facet Iacovides, Giorgos
Zhou, Wuyang
Mandic, Danilo
contents We propose a novel framework that leverages large language models (LLMs) to guide the rank selection in tensor network models for higher-order data analysis. By utilising the intrinsic reasoning capabilities and domain knowledge of LLMs, our approach offers enhanced interpretability of the rank choices and can effectively optimise the objective function. This framework enables users without specialised domain expertise to utilise tensor network decompositions and understand the underlying rationale within the rank selection process. Experimental results validate our method on financial higher-order datasets, demonstrating interpretable reasoning, strong generalisation to unseen test data, and its potential for self-enhancement over successive iterations. This work is placed at the intersection of large language models and higher-order data analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2410_10728
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Towards LLM-guided Efficient and Interpretable Multi-linear Tensor Network Rank Selection
Iacovides, Giorgos
Zhou, Wuyang
Mandic, Danilo
Machine Learning
Artificial Intelligence
We propose a novel framework that leverages large language models (LLMs) to guide the rank selection in tensor network models for higher-order data analysis. By utilising the intrinsic reasoning capabilities and domain knowledge of LLMs, our approach offers enhanced interpretability of the rank choices and can effectively optimise the objective function. This framework enables users without specialised domain expertise to utilise tensor network decompositions and understand the underlying rationale within the rank selection process. Experimental results validate our method on financial higher-order datasets, demonstrating interpretable reasoning, strong generalisation to unseen test data, and its potential for self-enhancement over successive iterations. This work is placed at the intersection of large language models and higher-order data analysis.
title Towards LLM-guided Efficient and Interpretable Multi-linear Tensor Network Rank Selection
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2410.10728