Neural Schr\"{o}dinger Equation:Physical Law as Neural Network

Understand

We show a new family of neural networks based on the Schr\"{o}dinger equation (SE-NET).

• In this analogy, the trainable weights of the neural networks correspond to the physical quantities of the Schr\"{o}dinger equation.
• These physical quantities can be trained using the complex-valued adjoint method.
• Since the propagation of the SE-NET can be described by the evolution of physical systems, its outputs can be computed by using a physical solver.