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Found 6 papers, 2 papers with code
Data-driven modelling of nonlinear dynamics by barycentric coordinates and memory
We present a numerical method to model dynamical systems from data.
Statistical Analysis of Tipping Pathways in Agent-Based Models
Agent-based models are a natural choice for modeling complex social systems.
Dimensionality Reduction
Physics and Society
Nonparametric approximation of conditional expectation operators
This also provides a novel perspective on which limiting object the nonparametric estimate of $P$ converges to.
Kernel Autocovariance Operators of Stationary Processes: Estimation and Convergence
We consider autocovariance operators of a stationary stochastic process on a Polish space that is embedded into a reproducing kernel Hilbert space.
Extending Transition Path Theory: Periodically-Driven and Finite-Time Dynamics
Given two distinct subsets $A, B$ in the state space of some dynamical system, Transition Path Theory (TPT) was successfully used to describe the statistical behavior of transitions from $A$ to $B$ in the ergodic limit of the stationary system.
Dynamical Systems 60J22, 82C26, 60J45, 60J10
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds
We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems.
