arXiv:2604.00256cs.LG2026-04

用知识地标提升机器学习,让模型更准更鲁棒。

Informed Machine Learning with Knowledge Landmarks

论文配图:Informed Machine Learning with Knowledge Landmarks
图 1 · 摘自论文原文
  • 将知识拆成抽象信息粒,与数据共同约束模型训练
  • 在物理任务上优于纯数据驱动模型,噪声下仍稳定
  • 适合有领域知识但数据少的科研与工程场景

知情机器学习通过统一知识与数据的框架,拓展了传统机器学习。本文提出知识-数据机器学习(KD-ML)新方向,将数值数据与以信息粒形式表达的知识片段(知识地标)融合。数据具有精度高、局部性特征,而知识具备全局性与高层抽象性。通过构建输入-输出信息粒集合作为知识地标,设计包含两部分的增广损失函数:一部分优化数据拟合,另一部分作为信息粒正则项,引导模型满足知识约束。超参数调节数据与知识的贡献权重,实验表明该方法在两个物理驱动基准任务中持续优于纯数据模型,且对数据噪声和知识粒度变化具有鲁棒性。

原文摘要 · Abstract (English)

Informed Machine Learning has emerged as a viable generalization of Machine Learning (ML) by building a unified conceptual and algorithmic setting for constructing models on a unified basis of knowledge and data. Physics-informed ML involving physics equations is one of the developments within Informed Machine Learning. This study proposes a novel direction of Knowledge-Data ML, referred to as KD-ML, where numeric data are integrated with knowledge tidbits expressed in the form of granular knowledge landmarks. We advocate that data and knowledge are complementary in several fundamental ways: data are precise (numeric) and local, usually confined to some region of the input space, while knowledge is global and formulated at a higher level of abstraction. The knowledge can be represented as information granules and organized as a collection of input-output information granules called knowledge landmarks. In virtue of this evident complementarity, we develop a comprehensive design process of the KD-ML model and formulate an original augmented loss function L, which additively embraces the component responsible for optimizing the model based on available numeric data, while the second component, playing the role of a granular regularizer, so that it adheres to the granular constraints (knowledge landmarks). We show the role of the hyperparameter positioned in the loss function, which balances the contribution and guiding role of data and knowledge, and point to some essential tendencies associated with the quality of data (noise level) and the level of granularity of the knowledge landmarks. Experiments on two physics-governed benchmarks demonstrate that the proposed KD model consistently outperforms data-driven ML models.

知情学习知识融合物理模型正则化

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