7208 2018 2019 eng 1019 1051 17 article 0 2019-08-29 -- -- Effective dynamics using conditional expectation was proposed in [F. Legoll and T. Lelièvre, Nonlinearity, 2010] to approximate the essential dynamics of high-dimensional diffusion processes along a given reaction coordinate. The approximation error of the effective dynamics when it is used to approximate the behavior of the original dynamics has been considered in recent years. As a continuation of the previous work [F. Legoll, T. Lelièvre, and S. Olla, Stoch. Process. Appl, 2017], in this paper we obtain pathwise estimates for effective dynamics when the reaction coordinate function is either nonlinear or vector-valued. Multiscale Modeling and Simulation 1805.01928 10.1137/18M1186034 yes 12.06.2019 Tony Lelièvre Wei Zhang Wei Zhang Numerical Mathematics Visual Data Analysis MODAL-MedLab SFB1114-A5 MODAL-Gesamt Zhang, Wei Modeling and Simulation of Complex Processes Visual and Data-centric Computing