arXiv:2605.04051stat.MLcs.LG2026-05

不依赖单一最优模型,通过多模型一致性找优解。

A Consistency-Centric Approach to Set-Based Optimization with Multiple Models of Unranked Fidelity

论文配图:A Consistency-Centric Approach to Set-Based Optimization with Multiple Models of Unranked Fidelity
图 1 · 摘自论文原文
  • 用多模型间的一致性识别优解,无需假设哪个模型最准确。
  • 理论证明了方法正确/错误结果的概率上限。
  • 适合多模型精度未知的复杂优化场景。

在复杂现实场景中,优化面临多种不同精度模型的挑战。传统方法通常假设某一模型为最准确代表,其他模型仅以与该模型的吻合度来评估。然而现实中模型精度往往未知,假设单一最优模型可能误导结果。本文提出一种名为基于集合的多模型优化(S-BOMM)的方法,可在不依赖最准确高保真模型的前提下,利用多个模型间的协同一致性识别优质解。不同于传统方法聚焦于高保真模型下的最优解,S-BOMM通过分析多模型间的一致性机制寻找跨模型稳健解。本文还提供了该一致性方法的概率分析,给出了结果正确或错误的理论概率上界。实验验证了S-BOMM在测试问题上的有效性。该方法通过关注多模型间的一致性而非依赖单一最优解,为无法假设唯一高保真模型的优化问题提供了实用替代方案。

原文摘要 · Abstract (English)

In complex real-world settings, optimization is challenged by the presence of diverse models of differing fidelity. In many optimization problems, a single model is treated as the most accurate representation of the underlying system, while other models are evaluated primarily by their agreement with this presumed most accurate model. Yet in real-world applications, model accuracy is rarely known a priori and assuming a single most accurate model can be misleading. This paper addresses this gap by proposing a flexible set-based optimization methodology called Set-Based Optimization with Multiple Models (S-BOMM) that works with multiple models without the assumption of a most accurate high-fidelity model. Unlike traditional optimization approaches that focus on finding an optimal solution according to the high-fidelity model, our methodology utilizes consistency between models to identify good solutions across multiple models. A probabilistic analysis of the consistency method is provided that bounds the likelihood of the methodology producing correct or incorrect results. Empirical results demonstrate the effectiveness of S-BOMM on test problems. By focusing on the consistency across models rather than relying on a single best solution, this set-based approach offers a practical alternative to optimization problems where multiple models must be considered without assuming a single most accurate high-fidelity model.

多模型优化一致性鲁棒优化

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。