“…However, taking into account a high number of random parameters is of first importance in a stochastic multiscale analysis and we thus propose a different methodology based on polynomial chaos representations. Initiated in [14], the methodology to construct a polynomial chaos expansion of random fields has been intensely developed to solve stochastic partial differential equations [3,15,16,13,24,22,29,32,31,35,38,11] but also for the identification of random fields using experimental data and classical inference techniques [17,2] or maximum likelihood estimation [9,10,43,18]. A new methodology has been recently introduced to deal with the identification of polynomial chaos representations in high-dimension [39,41].…”