2 papers
cs.CE2023
Conditional variational autoencoder with Gaussian process regression recognition for parametric models
Xuehan Zhang, Lijian Jiang
In this article, we present a data-driven method for parametric models with noisy observation data. Gaussian process regression based reduced order modeling (GPR-based ROM) can rea…
math.NA2023
Perron-Frobenius operator filter for stochastic dynamical systems
Ningxin Liu, Lijian Jiang
The filtering problems are derived from a sequential minimization of a quadratic function representing a compromise between model and data. In this paper, we use the Perron-Frobeni…