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：我们受量子力学启发，提出一类神经控制微分方程。神经量子控制微分方程（NQDEs）通过模拟薛定谔方程来建模动力学过程。具体而言，隐藏状态表示波函数，其坍缩过程可解释分类概率的生成机制。我们在螺旋分类基准问题上实现了四种NQDE变体并比较了其结果。