Revealing Higher-Order Interactions in High-Dimensional Complex Systems: A Data-Driven Approach M. Reza Rahimi Tabar ,1,?Farnik Nikakhtar ,2,*Laya Parkavousi,3,* Amin Akhshi ,4,*Ulrike Feudel ,1,?,∥and Klaus Lehnertz5,6,7 ,§,∥ 1Theoretical Physics/Complex Systems, ICBM, Carl von Ossietzky University Oldenburg, 26129 Oldenburg, Germany 2Department of Physics, Yale University, New Haven, Connecticut 06511, USA 3Max Planck Institute for Dynamics and Self-Organization (MPI-DS), 37077, G?ttingen, Ger...