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漏点定位方法。其中，状态估计通过插值方案实现，而第二阶段则采用字典学习。所提出的新型插值技术利用了配水管网中相邻节点水头之间物理耦合关系的机理。此外，该方法直接对残差进行插值而非水头值。将所提方法应用于知名案例（摩德纳）的结果表明，相较于现有先进方法，新插值方法在插值误差（考虑状态与残差估计）及后续定位精度两方面均有所提升。