Double Coupling Architecture and Training Method for Optimization Problems of Differential Algebraic Equations with Parameters

ArXi:2603.22724v1 Announce Type: new Simulation and modeling are essential in product development, integrated into the design and manufacturing process to enhance efficiency and quality. They are typically represented as complex nonlinear differential algebraic equations. The growing diversity of product requirements demands multi-task optimization, a key challenge in simulation modeling research. A dual physics-informed neural network architecture has been proposed to decouple constraints and objective functions in parametric differential algebraic equation optimization problems.