Neural Controlled Differential Equations with Quantum Hidden Evolutions

Lingyi Yang, Zhen Shao

Keywords: neural controlled differential equations, NCDE, quantum, complex

Abstract:

We introduce a class of neural controlled differential equation inspired by quantum mechanics.
Neural quantum controlled differential equations (NQDEs) model the dynamics by analogue of the Schrodinger equation.
Specifically, the hidden state represents the wave function, and its collapse leads to an interpretation of the classification probability. We implement and compare the results of four variants of NQDEs on a toy spiral classification problem.

Submission Number: 78