Operator learning for models of tear film breakup
arXiv:2601.08001 · doi:10.1093/imammb/dqag009
Abstract
Tear film (TF) breakup is a key driver of understanding dry eye disease, yet estimating TF thickness and osmolarity from fluorescence (FL) imaging typically requires solving computationally expensive inverse problems. We propose an operator learning framework that replaces traditional inverse solvers with neural operators trained on simulated TF dynamics. This approach offers a scalable path toward rapid, data-driven analysis of tear film dynamics.
References in corpus (7)
- DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
- On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks
- Efficient quantum computation of molecular forces and other energy gradients
- Finite-time Thin Film Rupture Driven by Generalized Evaporative Loss
- Neural Dynamical Operator: Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods
- Parameter Estimation for Mixed-Mechanism Tear Film Thinning
- Evaporation-driven tear film thinning and breakup in two space dimensions