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Table 1 Definition of variables

From: Detecting and understanding urban changes through decomposing the numbers of visitors’ arrivals using human mobility data

Variable Definition
a The number of places in the data (e.g. the number of stations in the smart card data of public transportation)
b The number of days in the data
m \(a \times b\)
n The number of time-slices in 1 day. For example, if the length of one time-slice is 1 hour, \(n=24\). If the length of one time-slice is 30 minutes, \(n=48\)
\({\mathbf {V}}\) A matrix that has information about the number of visitors for each day, each place, and time-slice. Each row indicates a specific day and place. Each column indicates a specific time-slice
\({\mathbf {W}}\) A matrix that has information about the inferred number of visitors for each place and each day by activity type. Each row indicates a specific day and station. Each column indicates a specific activity type
\({\mathbf {H}}\) A matrix that has information about time-series distribution of visitors for each activity type. Each row indicates a specific activity type. Each column indicates a specific time-slice