Abstract: This paper is motivated by the joint analysis of genetic, imaging, and clinical (GIC) data collected in many large-scale biomedical studies, such as the UK Biobank study and the Alzheimer's Disease Neuroimaging Initiative (ADNI) study. We propose a regression framework based on parti...

在本工作中，我们提出了一种结合守恒型界面捕捉方法的块状自适应多分辨率算法求解带刚性源项的欧拉方程。对于模拟刚性反应流问题，主要挑战，一是时间和空间的欠分辨率导致错误的间断传播速度；二是数值耗散导致传统激波捕捉格式难以定位爆轰波的位置。为了克服这些难点，一方面本方法提出了反应流的自适应多分辨率表示模...

Implicit Generative Models (IGMs) have demonstrated the superior capacity in generating high-fidelity samples from the high dimensional space, especially for static image data. However, these methods struggle to capture the temporal dependence of joint probability distributions induced by time-serie...