Xiaoqi Wei,Guo-Wei Wei
Xiaoqi Wei
Persistent topological Laplacians constitute a new class of tools in topological data analysis (TDA). They are motivated by the necessity to address challenges encountered in persistent homology when handling complex data. These Laplacians ...
Rootlets Hierarchical Principal Component Analysis for Revealing Nested Dependencies in Hierarchical Data [0.03%]
用于揭示分层数据中嵌套依赖性的根层次主成分分析
Korey P Wylie,Jason R Tregellas
Korey P Wylie
Hierarchical clustering analysis (HCA) is a widely used unsupervised learning method. Limitations of HCA, however, include imposing an artificial hierarchy onto non-hierarchical data and fixed two-way mergers at every level. To address this...
Existence of Traveling Waves of a Diffusive Susceptible-Infected-Symptomatic-Recovered Epidemic Model with Temporal Delay [0.03%]
具时滞的SIR传染病模型行波解的存在性
Julio C Miranda,Abraham J Arenas,Gilberto González-Parra et al.
Julio C Miranda et al.
The aim of this article is to investigate the existence of traveling waves of a diffusive model that represents the transmission of a virus in a determined population composed of the following populations: susceptible (S), infected (I), asy...
A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy [0.03%]
数学生物学视角下Allee效应在溶瘤病毒疗法中影响的研究
Eymard Hernández-López,Jin Wang
Eymard Hernández-López
This article is concerned with the mathematical modeling of cancer virotherapy, emphasizing the impact of Allee effects on tumor cell growth. We propose a modeling framework that describes the complex interaction between tumor cells and onc...
A Principled Framework to Assess the Information-Theoretic Fitness of Brain Functional Sub-Circuits [0.03%]
一种评估大脑功能子回路信息论适应性的原则框架
Duy Duong-Tran,Nghi Nguyen,Shizhuo Mu et al.
Duy Duong-Tran et al.
In systems and network neuroscience, many common practices in brain connectomic analysis are often not properly scrutinized. One such practice is mapping a predetermined set of sub-circuits, like functional networks (FNs), onto subjects' fu...
Duy Duong-Tran,Ralph Kaufmann,Jiong Chen et al.
Duy Duong-Tran et al.
Human whole-brain functional connectivity networks have been shown to exhibit both local/quasilocal (e.g., set of functional sub-circuits induced by node or edge attributes) and non-local (e.g., higher-order functional coordination patterns...
Effectiveness of PEER Intervention on Older Adults' Physical Activity Time Series Using Smoothing Spline ANOVA [0.03%]
基于光滑样条广义可加模型的同伴干预促进老年人体育锻炼的有效性研究
Yi Liu,Chang Liu,Liqiang Ni et al.
Yi Liu et al.
Falls are a major cause of injury among older adults. The Physio-fEedback Exercise pRogram (PEER) combines physio-feedback, cognitive reframing, and guided exercises to reduce fall risk. However, its impact on physical activity (PA) over ti...
Estimating the Relative Risks of Spatial Clusters Using a Predictor-Corrector Method [0.03%]
利用预测-校正方法估计空间聚类的相对风险
Majid Bani-Yaghoub,Kamel Rekab,Julia Pluta et al.
Majid Bani-Yaghoub et al.
Spatial, temporal, and space-time scan statistics can be used for geographical surveillance, identifying temporal and spatial patterns, and detecting outliers. While statistical cluster analysis is a valuable tool for identifying patterns, ...
Imputation-Based Variable Selection Method for Block-Wise Missing Data When Integrating Multiple Longitudinal Studies [0.03%]
整合多纵向研究时处理分块缺失数据的基于多重插补的变量选择方法
Zhongzhe Ouyang,Lu Wang;Alzheimer’s Disease Neuroimaging Initiative
Zhongzhe Ouyang
When integrating data from multiple sources, a common challenge is block-wise missing. Most existing methods address this issue only in cross-sectional studies. In this paper, we propose a method for variable selection when combining datase...
A Surrogate Measure for Time-Varying Biomarkers in Randomized Clinical Trials [0.03%]
随机对照试验中时变生物标志物的替代度量
Rui Zhuang,Fan Xia,Yixin Wang et al.
Rui Zhuang et al.
Clinical trials with rare or distant outcomes are usually designed to be large in size and long term. The resource-demand and time-consuming characteristics limit the feasibility and efficiency of the studies. There are motivations to repla...