Neural Controlled Differential Equations with Quantum Hidden Evolutions

Published: 19 Mar 2024, Last Modified: 23 May 2024Tiny Papers @ ICLR 2024 PresentEveryoneRevisionsBibTeXCC BY 4.0
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
Loading