Statistical Mechanics of Dynamical System Identification

no code implementations • 4 Mar 2024 • Andrei A. Klishin, Joseph Bakarji, J. Nathan Kutz, Krithika Manohar

Recovering dynamical equations from observed noisy data is the central challenge of system identification.

Bayesian Inference Variable Selection

Human Learning of Hierarchical Graphs

no code implementations • 6 Sep 2023 • Xiaohuan Xia, Andrei A. Klishin, Jennifer Stiso, Christopher W. Lynn, Ari E. Kahn, Lorenzo Caciagli, Dani S. Bassett

Using a serial response experiment with human participants (n=$100$), we replicate our predictions by detecting a surprisal effect at the finer-level of the hierarchy but not at the coarser-level of the hierarchy.

Graph Learning

Data-Induced Interactions of Sparse Sensors

no code implementations • 21 Jul 2023 • Andrei A. Klishin, J. Nathan Kutz, Krithika Manohar

Because of this structure, we can use just a few spatially localized sensor measurements to reconstruct the full state of a complex system.