TY - JOUR A1 - Reich, Sebastian T1 - Data assimilation T2 - Acta numerica N2 - Data assimilation addresses the general problem of how to combine model-based predictions with partial and noisy observations of the process in an optimal manner. This survey focuses on sequential data assimilation techniques using probabilistic particle-based algorithms. In addition to surveying recent developments for discrete- and continuous-time data assimilation, both in terms of mathematical foundations and algorithmic implementations, we also provide a unifying framework from the perspective of coupling of measures, and Schrödinger’s boundary value problem for stochastic processes in particular. Y1 - 2019 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/50601 SN - 0962-4929 SN - 1474-0508 VL - 28 SP - 635 EP - 711 PB - Cambridge Univ. Press CY - New York ER -