2022
DOI: 10.48550/arxiv.2203.06911
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Non-Parametric Modeling of Spatio-Temporal Human Activity Based on Mobile Robot Observations

Abstract: This work presents a non-parametric spatiotemporal model for mapping human activity by mobile autonomous robots in a long-term context. Based on Variational Gaussian Process Regression, the model incorporates prior information of spatial and temporal-periodic dependencies to create a continuous representation of human occurrences. The inhomogeneous data distribution resulting from movements of the robot is included in the model via a heteroscedastic likelihood function and can be accounted for as predictive un… Show more

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Cited by 2 publications
(3 citation statements)
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“…We can find also unique measurements of a map quality like the Pearson correlation coefficient (Ak et al, 2018), Cramer-von-Mises criterion (Bennetts et al, 2019), Kullback-Leibler divergence (Rudenko et al, 2020), and k-NN Universal Divergence Estimator (Kucner et al, 2017). Rarely, we can find average probability density (Senanayake and Ramos, 2018;Senanayake et al, 2020) and chi-square distance (Vintr et al, 2019a;Molina et al, 2019;Stuede and Schappler, 2022).…”
Section: Benchmarking Spatio-temporal Mapsmentioning
confidence: 99%
“…We can find also unique measurements of a map quality like the Pearson correlation coefficient (Ak et al, 2018), Cramer-von-Mises criterion (Bennetts et al, 2019), Kullback-Leibler divergence (Rudenko et al, 2020), and k-NN Universal Divergence Estimator (Kucner et al, 2017). Rarely, we can find average probability density (Senanayake and Ramos, 2018;Senanayake et al, 2020) and chi-square distance (Vintr et al, 2019a;Molina et al, 2019;Stuede and Schappler, 2022).…”
Section: Benchmarking Spatio-temporal Mapsmentioning
confidence: 99%
“…Contemporary approaches for activity mapping either employ highly complex computation models or artificial intelligence approaches for ROI detection. Marvin and Moritz [15] presented a non-parametric model for spatiotemporal activity based on Gaussian process regression (GPR). Sattar et al [16] proposed a convolution neural network (CNN)-based spatiotemporal activity mapping method for group activity detection.…”
Section: Introductionmentioning
confidence: 99%
“…The approaches in [12][13][14] provide simple models for activity mapping and ROI detection; however, they lack the accuracy of ROI prediction. The methods proposed in [15][16][17][18][19] provide efficient spatiotemporal activity mapping for ROI detection, but at the cost of high computational complexity, and are thus not suitable for systems with low or limited resources. Artificial intelligence (AI)-based systems [16][17][18][19] require high computation and storage capabilities to train the model and further require iteratively changing the training model in unforeseen conditions, illumination changes, etc.…”
Section: Introductionmentioning
confidence: 99%