A Data Driven Approach for Resolving Time-dependent Differential Equations with Noise - Liu, Donglin; Sopasakis, Alexandros; Lund University, Faculty of Science, Centre for Mathematical Sciences, Mathematics (Faculty of Engineering), Lunds universitet, Naturvetenskapliga fakulteten, Matematikcentrum, Matematik LTH, Originator; Lund University, Lunds universitet, Originator (IFAC-PapersOnLine System Identification and Data-Driven Modeling, 2025)