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.

翻译：我们提出了一类受量子力学启发的神经控制微分方程。神经量子控制微分方程（NQDEs）通过类比薛定谔方程对动力学进行建模。具体而言，隐藏态代表波函数，其坍缩导致分类概率的一种解释。我们在一个简单的螺旋分类问题上实现并比较了四种NQDEs变体的结果。