arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2602.20152cs.LGcs.AIstat.ML
收藏

行为学习(BL):从数据中学习分层优化结构

Behavior Learning (BL): Learning Hierarchical Optimization Structures from Data

Xiamen University(厦门大学);University of Tübingen(图宾根大学);Xi’an Jiaotong University(西安交通大学)

Zhenyao Ma, Yue Liang, Dongxu Li

AI总结:

行为学习(BL)是一种从数据中学习分层优化结构的通用机器学习框架,结合可解释性和可识别性,适用于科学领域中的优化问题。

摘要:

受行为科学启发,我们提出了行为学习(BL),一种新的通用机器学习框架,旨在从数据中学习可解释且可识别的优化结构,从单个优化问题到分层组合。它统一了预测性能、内在可解释性和可识别性,并广泛应用于涉及优化的科学领域。BL参数化了一个由本质上可解释的模块化块构建的组合效用函数,该函数诱导了用于预测和生成的数据分布。每个模块代表并可以以符号形式表示为效用最大化问题(UMP),这是行为科学中的基础范式,也是优化的通用框架。BL支持从单个UMP到分层组合的架构,后者建模分层优化结构。其平滑且单调的变种(IBL)保证了可识别性。理论上,我们建立了BL的通用逼近性质,并分析了IBL的M估计性质。经验上,BL展示了强大的预测性能、内在可解释性和对高维数据的扩展能力。代码:https://github.com/MoonYLiang/Behavior-Learning;通过pip install blnetwork安装。

英文摘要:

Inspired by behavioral science, we propose Behavior Learning (BL), a novel general-purpose machine learning framework that learns interpretable and identifiable optimization structures from data, ranging from single optimization problems to hierarchical compositions. It unifies predictive performance, intrinsic interpretability, and identifiability, with broad applicability to scientific domains involving optimization. BL parameterizes a compositional utility function built from intrinsically interpretable modular blocks, which induces a data distribution for prediction and generation. Each block represents and can be written in symbolic form as a utility maximization problem (UMP), a foundational paradigm in behavioral science and a universal framework of optimization. BL supports architectures ranging from a single UMP to hierarchical compositions, the latter modeling hierarchical optimization structures. Its smooth and monotone variant (IBL) guarantees identifiability. Theoretically, we establish the universal approximation property of BL, and analyze the M-estimation properties of IBL. Empirically, BL demonstrates strong predictive performance, intrinsic interpretability and scalability to high-dimensional data. Code: https://github.com/MoonYLiang/Behavior-Learning ; install via pip install blnetwork.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑