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：本文提出一种基于状态估计与学习的泄漏定位方法。第一阶段采用插值方案实现状态估计，第二阶段则引入字典学习方法。所提出的新型插值技术利用供水管网中相邻节点水头之间物理关联特性，并直接对残差而非水头值进行插值处理。将该方法应用于著名的蒙德纳案例研究的结果表明，相较于现有先进方法，新插值方法在插值误差（考虑状态估计与残差估计）以及后续定位性能方面均取得显著改进。