We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In the first step, an approximate direct sampling method is developed to obtain the locations of the sources at different times. Such information is coded in the priors, which is critical for the success of the Bayesian method in the second step. The well-posedness of the posterior measure is analyzed in the sense of the Hellinger distance. Both steps are based on the same physical model and use the same set of measured data. The combined approach inherits the merits of the deterministic method and Bayesian inversion, which is demonstrated by the numerical examples.

翻译：我们考虑利用部分计量数据重建移动源。提出了两步确定-统计方法。第一步是开发一种大致的直接抽样方法,在不同时间获取源的位置。这种信息在前期编码,这对巴伊西亚方法在第二步的成功至关重要。从海灵格距离的意义上分析后继测量的稳妥性。两个步骤都以相同的物理模型为基础,并使用相同的计量数据组。综合方法继承了确定方法和巴伊西亚自转法的优点,数字实例证明了这一点。