4 papers
A General Test for Independent and Identically Distributed Hypothesis
Tongyu Li, Jonas Mueller, Fang Yao
We propose a simple and intuitive test for arguably the most prevailing hypothesis in statistics that data are independent and identically distributed (IID), based on a newly intro…
Functional Tensor Regression
Tongyu Li, Fang Yao, Anru R. Zhang
Tensor regression has attracted significant attention in statistical research. This study tackles the challenge of handling covariates with smooth varying structures. We introduce…
Function-on-function Differential Regression
Tongyu Li, Fang Yao
Function-on-function regression has been a topic of substantial interest due to its broad applicability, where the relation between functional predictor and response is concerned.…
Physics-encoded Spatio-temporal Regression
Tongyu Li, Fang Yao
Physics-informed methods have gained a great success in analyzing data with partial differential equation (PDE) constraints, which are ubiquitous when modeling dynamical systems. D…