| compute_ode_residuals | Physics Residuals at Collocation Points |
| default_ode_system | Default Physical ODE System (Degradation Process) |
| fit_pinn_progcens_mle | Maximum Likelihood Estimation via PINN Optimization |
| interpolate_state | Interpolate Trajectory State |
| pinn_hazard | Physics-Regularized Hazard Rate Mapping |
| pinn_progcens_loss | Combined Structural Loss (Censored Likelihood + Physics Residual) |
| softplus | Softplus Activation Function |
| solve_ode_trajectory | Forward State Trajectory Integration |