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We analyze Twitter data relating to the COVID-19 pandemic using dynamic topic modeling techniques to learn topics and their prevalence over time. Topics are learned using four methods: nonnegative matrix factorization (NMF), nonnegative CP tensor decomposition (NCPD), online NMF, and online NCPD. All of the methods considered discover major topics that persist for multiple weeks relating to China, social distancing, and U.S. President Trump. The topics about China dominate in early February before giving way to more diverse topics. We observe that NCPD and online NCPD can detect topics that are prevalent over a few days, such as the outbreak in South Korea. The topics detected by NMF and online NMF, however, are prevalent over longer periods of time. Our results are validated against external news sources.
The coronavirus (COVID-19) pandemic has significantly altered our lifestyles as we resort to minimize the spread through preventive measures such as social distancing and quarantine. An increasingly worrying aspect is the gap between the exponential
With the spread and development of new epidemics, it is of great reference value to identify the changing trends of epidemics in public emotions. We designed and implemented the COVID-19 public opinion monitoring system based on time series thermal n
The outbreak of COVID-19 highlights the need for a more harmonized, less privacy-concerning, easily accessible approach to monitoring the human mobility that has been proved to be associated with the viral transmission. In this study, we analyzed 587
This paper discusses the problem of symmetric tensor decomposition on a given variety $X$: decomposing a symmetric tensor into the sum of tensor powers of vectors contained in $X$. In this paper, we first study geometric and algebraic properties of s
Hermitian tensors are generalizations of Hermitian matrices, but they have very different properties. Every complex Hermitian tensor is a sum of complex Hermitian rank-1 tensors. However, this is not true for the real case. We study basic properties