Dr. Jia Liu

Complex networks play important roles in our daily life, in science and in economy, their understanding, mathematical description, prediction, etc. The networks include cellular network, neural network, social network, communication network, power grid network, and trade networks. Networks are at the heart of some of the most revolutionary technologies of the 21st century, empowering everything from Google to Facebook, CISCO, and Twitter.

In this study, performance data from students on a mathematics graduate programme from Spring 2019 to Spring 2020 were collected and analysed. The results showed that, if the right course delivery method was implemented, the impact of the coronavirus pandemic (COVID-19) on students' performance could be minimal. Based on the study, some recommendations are made on how to improve students' performances in graduate-level mathematics courses.

During the Coronavirus Disease 2019 (COVID-19) pandemic, non-contact health monitoring and human activity detection by various sensors have attracted tremendous attention. Robotic monitoring will minimize the threat to health providers during the COVID-19 pandemic period. Improving the monitoring model's performance and generalization is a critical but difficult task. This paper constructs an epidemic monitoring architecture based on multi-sensor information fusion and applies it to medical robot services. We propose a gated recurrent unit model based on a genetic algorithm (GA-GRU) to realize effective feature selection and improve the effectiveness and accuracy of wireless sensor networks (WSNs).

This article aims to make use of moment-generating functions (mgfs) to derive the density of mixture distributions from hierarchical models. When the mgf of a mixture distribution doesn’t exist, one can extend the approach to characteristic functions to derive the mixture density. This article uses a result given by E.R. Villa, L.A. Escobar, Am. Stat. 60 (2006), 75–80. The present work complements E.R. Villa, L.A. Escobar, Am. Stat. 60 (2006), 75–80 article with many new examples.