Sichen Yang
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View article: Probabilistic cellular automata with local transition matrices: synchronization, ergodicity, and inference
Probabilistic cellular automata with local transition matrices: synchronization, ergodicity, and inference Open
We introduce a new class of probabilistic cellular automata that are capable of exhibiting rich dynamics such as synchronization and ergodicity and can be easily inferred from data. The system is a finite-state locally interacting Markov c…
Nonlinear model reduction for slow-fast stochastic systems near manifolds Open
We introduce a nonlinear stochastic model reduction technique for high-dimensional stochastic dynamical systems that have a low-dimensional invariant effective manifold with slow dynamics, and high-dimensional, large fast modes. Given only…
Nonlinear model reduction for slow-fast stochastic systems near unknown invariant manifolds Open
We introduce a nonlinear stochastic model reduction technique for high-dimensional stochastic dynamical systems that have a low-dimensional invariant effective manifold with slow dynamics, and high-dimensional, large fast modes. Given only…