Neural Controlled Differential Equations with Quantum Hidden Evolutions

Lingyi Yang; Zhen Shao

Neural Controlled Differential Equations with Quantum Hidden Evolutions

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arxiv 2404.19673 v2 pith:4SAJT6VO submitted 2024-04-30 cs.LG

Lingyi Yang , Zhen Shao This is my paper

classification cs.LG

keywords controlleddifferentialneuralquantumclassificationequationequationshidden

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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 Schr\"{o}dinger 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.

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