This article presents a leak localization methodology based on state estimation and learning. The first is handled by an interpolation scheme, whereas dictionary learning is considered for the second stage. The novel proposed interpolation technique exploits the physics of the interconnections between hydraulic heads of neighboring nodes in water distribution networks. Additionally, residuals are directly interpolated instead of hydraulic head values. The results of applying the proposed method to a well-known case study (Modena) demonstrated the improvements of the new interpolation method with respect to a state-of-the-art approach, both in terms of interpolation error (considering state and residual estimation) and posterior localization.

翻译：本文提出了一种基于状态估计和学习的泄漏定位方法。第一阶段由插值方案处理，第二阶段考虑字典学习。所提出的新型插值技术利用了水力网络中相邻节点之间液压头之间的相互连接的物理学。此外，直接插值残差而非液压头值。将所提出的方法应用于一个著名的案例研究（莫德纳）的结果表明，新插值方法在状态和残差估计的插值误差以及后续定位方面与现有技术相比有所改善。