Combinatorial Reasoning: Selecting Reasons in Generative AI Pipelines via Combinatorial Optimization

Fuente: arXiv
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Main Authors: Esencan, Mert, Kumar, Tarun Advaith, Asanjan, Ata Akbari, Lott, P. Aaron, Mohseni, Masoud, Unlu, Can, Venturelli, Davide, Ho, Alan
Format: Preprint
Published: 2024
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author Esencan, Mert
Kumar, Tarun Advaith
Asanjan, Ata Akbari
Lott, P. Aaron
Mohseni, Masoud
Unlu, Can
Venturelli, Davide
Ho, Alan
author_facet Esencan, Mert
Kumar, Tarun Advaith
Asanjan, Ata Akbari
Lott, P. Aaron
Mohseni, Masoud
Unlu, Can
Venturelli, Davide
Ho, Alan
contents Recent Large Language Models (LLMs) have demonstrated impressive capabilities at tasks that require human intelligence and are a significant step towards human-like artificial intelligence (AI). Yet the performance of LLMs at reasoning tasks have been subpar and the reasoning capability of LLMs is a matter of significant debate. While it has been shown that the choice of the prompting technique to the LLM can alter its performance on a multitude of tasks, including reasoning, the best performing techniques require human-made prompts with the knowledge of the tasks at hand. We introduce a framework for what we call Combinatorial Reasoning (CR), a fully-automated prompting method, where reasons are sampled from an LLM pipeline and mapped into a Quadratic Unconstrained Binary Optimization (QUBO) problem. The framework investigates whether QUBO solutions can be profitably used to select a useful subset of the reasons to construct a Chain-of-Thought style prompt. We explore the acceleration of CR with specialized solvers. We also investigate the performance of simpler zero-shot strategies such as linear majority rule or random selection of reasons. Our preliminary study indicates that coupling a combinatorial solver to generative AI pipelines is an interesting avenue for AI reasoning and elucidates design principles for future CR methods.
format Preprint
id arxiv_https___arxiv_org_abs_2407_00071
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Combinatorial Reasoning: Selecting Reasons in Generative AI Pipelines via Combinatorial Optimization
Esencan, Mert
Kumar, Tarun Advaith
Asanjan, Ata Akbari
Lott, P. Aaron
Mohseni, Masoud
Unlu, Can
Venturelli, Davide
Ho, Alan
Artificial Intelligence
Computation and Language
Emerging Technologies
Machine Learning
Recent Large Language Models (LLMs) have demonstrated impressive capabilities at tasks that require human intelligence and are a significant step towards human-like artificial intelligence (AI). Yet the performance of LLMs at reasoning tasks have been subpar and the reasoning capability of LLMs is a matter of significant debate. While it has been shown that the choice of the prompting technique to the LLM can alter its performance on a multitude of tasks, including reasoning, the best performing techniques require human-made prompts with the knowledge of the tasks at hand. We introduce a framework for what we call Combinatorial Reasoning (CR), a fully-automated prompting method, where reasons are sampled from an LLM pipeline and mapped into a Quadratic Unconstrained Binary Optimization (QUBO) problem. The framework investigates whether QUBO solutions can be profitably used to select a useful subset of the reasons to construct a Chain-of-Thought style prompt. We explore the acceleration of CR with specialized solvers. We also investigate the performance of simpler zero-shot strategies such as linear majority rule or random selection of reasons. Our preliminary study indicates that coupling a combinatorial solver to generative AI pipelines is an interesting avenue for AI reasoning and elucidates design principles for future CR methods.
title Combinatorial Reasoning: Selecting Reasons in Generative AI Pipelines via Combinatorial Optimization
topic Artificial Intelligence
Computation and Language
Emerging Technologies
Machine Learning
url https://arxiv.org/abs/2407.00071