论文标题

神经普通微分方程用于干预建模

Neural Ordinary Differential Equations for Intervention Modeling

论文作者

Gwak, Daehoon, Sim, Gyuhyeon, Poli, Michael, Massaroli, Stefano, Choo, Jaegul, Choi, Edward

论文摘要

通过将神经网络潜在表示的正向动力学解释为普通的微分方程,神经普通微分方程(神经ode)成为建模连续时域中系统动力学的有效框架。但是,现实世界中的系统通常涉及外部干预措施,这些干预措施会导致系统动态变化,例如移动的球与另一个球接触,或者类似于特定药物的患者。然而,神经ode及其最近的许多变体不适合对这些干预措施进行建模,因为它们不能正确地对观测值和干预措施进行正确建模。在本文中,我们提出了一种新型的基于神经ODE的方法(IMODE),该方法通过采用两种ODE函数来分别处理观察结果和干预措施,将外部干预措施的影响正确建模。使用涉及干预措施的合成和现实时间序列数据集,我们的实验结果始终证明了与现有方法相比的IMODE的优势。

By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics in the continuous time domain. However, real-world systems often involves external interventions that cause changes in the system dynamics such as a moving ball coming in contact with another ball, or such as a patient being administered with particular drug. Neural ODE and a number of its recent variants, however, are not suitable for modeling such interventions as they do not properly model the observations and the interventions separately. In this paper, we propose a novel neural ODE-based approach (IMODE) that properly model the effect of external interventions by employing two ODE functions to separately handle the observations and the interventions. Using both synthetic and real-world time-series datasets involving interventions, our experimental results consistently demonstrate the superiority of IMODE compared to existing approaches.

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