About periodic solutions of a planar system modelling neural activity

Modelling and predicting the effect of social distancing and travel restrictions on COVID-19 spreading

To date, the only effective means to respond to the spreading of COVID-19 pandemic are non-pharmaceutical interventions (NPIs), which entail policies to reduce social activity and mobility restrictions. Quantifying their effect is difficult, but it is key to reduce their social and economical consequences. Here, we introduce a meta-population model based on temporal networks, calibrated on the COVID-19 outbreak data in Italy and apt to evaluate the outcomes of these two types of NPIs. Our approach combines the advantages of granular spatial modelling of meta-population models with the ability …

基于神经网络、扩散映射（Diffusion Maps）与Koopman算子的脑活动数据驱动建模

Data-driven modelling of brain activity using neural networks, Diffusion Maps, and the Koopman operator

本研究提出一种三阶段机器学习方法，结合扩散映射、前馈神经网络与Koopman算子建模fMRI脑活动动态，在视觉运动任务基准数据集上实现了优于随机游走的预测效果，且Koopman方案可在性能相当的前提下简化原像求解流程。