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stat.ME2026
Nonparametric Estimation under General Nonlinear ODE Constraints: A Comparison with Parametric ODE-Fitting Methods
Chunlei Ge, W. John Braun
Many physical, biological, and epidemiological processes are governed by ordinary differential equations (ODEs) that are nonlinear in the state variable, including logistic populat…
stat.ME2026
Local Quasi-Linear Models: Kernel Differential Equation Regression and Fire Data Analysis
Chunlei Ge, W. John Braun
We introduce the local quasi-linear (LQL) model, a differential equation-constrained local polynomial regression framework for the general first-order linear ordinary differential…
stat.ME2026
Differential Equation-Constrained Exponential-Type Local Polynomial Regression Under Model Misspecification
Chunlei Ge, W. John Braun
The issue of model misspecification is critical, yet it is often regarded as unavoidable in applied statistical modeling. Model misspecification can be mitigated by incorporating i…