2019
DOI: 10.1007/978-3-030-14984-0_5
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Spatiotemporal Models of Human Activity for Robotic Patrolling

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Cited by 3 publications
(5 citation statements)
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“…The methods found in the literature can be divided into a few overlapping groups of approaches. Compared to the related work section, we excluded a group of methods incorporating short-term dynamics and included a time series forecasting approach that estimates the number of people over the whole map at a specific time: 1) spatial-only models ( Section 2.1 ) that do not take time into account ( Kucner et al, 2016 ; Senanayake and Ramos, 2018 ), 2) time series forecasting methods that do not take the structure of the space into account ( Vintr et al, 2018 ), 3) partially discrete and partially continuous models, ( Section 2.3.3 ), which incorporate continuous models in the cells of a predefined grid ( Krajnik et al, 2014a ; Molina et al, 2018 ). 4) methods that model spatial and temporal features separately ( Section 2.3.1 ) and understand them as independent ( Bennetts et al, 2019 ; Kubiš, 2020 ), 5) continuous spatio-temporal methods ( Section 2.4.2 ) that model the spatio-temporal phenomena together ( Vintr et al, 2019b ; Krajník et al, 2019 ), and 6) continuous spatio-temporal methods ( Section 2.4.1 ) that model the temporal evolution of the continuous spatial model ( Zhou et al, 2015 ; Zhou and Matteson, 2016 ).…”
Section: Discussionmentioning
confidence: 99%
See 3 more Smart Citations
“…The methods found in the literature can be divided into a few overlapping groups of approaches. Compared to the related work section, we excluded a group of methods incorporating short-term dynamics and included a time series forecasting approach that estimates the number of people over the whole map at a specific time: 1) spatial-only models ( Section 2.1 ) that do not take time into account ( Kucner et al, 2016 ; Senanayake and Ramos, 2018 ), 2) time series forecasting methods that do not take the structure of the space into account ( Vintr et al, 2018 ), 3) partially discrete and partially continuous models, ( Section 2.3.3 ), which incorporate continuous models in the cells of a predefined grid ( Krajnik et al, 2014a ; Molina et al, 2018 ). 4) methods that model spatial and temporal features separately ( Section 2.3.1 ) and understand them as independent ( Bennetts et al, 2019 ; Kubiš, 2020 ), 5) continuous spatio-temporal methods ( Section 2.4.2 ) that model the spatio-temporal phenomena together ( Vintr et al, 2019b ; Krajník et al, 2019 ), and 6) continuous spatio-temporal methods ( Section 2.4.1 ) that model the temporal evolution of the continuous spatial model ( Zhou et al, 2015 ; Zhou and Matteson, 2016 ).…”
Section: Discussionmentioning
confidence: 99%
“…2) time series forecasting methods that do not take the structure of the space into account ( Vintr et al, 2018 ),…”
Section: Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…This is caused by the fact that the modeled events are sparse, and the process generating them is not stationary. To deal with the problem, we proposed in our previous works to we use a "warped-hypertime" projection of the time line into a closed subset of multidimensional vector space, where each pair of dimensions would represent one periodicity [38], [39], [40], [41], [42]. Then, we create a model characterising the probability distribution of spatiodirection-temporal events in the vector space extended by the warped hypertime.…”
Section: Methods Descriptionmentioning
confidence: 99%