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Brownian Bridge Interpolation for Human Mobility?

Published: 04 November 2021 Publication History

Abstract

The Brownian bridge is a method for probabilistically interpolating the location of a moving person, animal, or object between two measured points. This type of probabilistic interpolation is useful, because it represents the uncertainty of the interpolated points. It can be used to infer the probability of having visited a certain location, including possible exposure to disease. In the class of probabilistic interpolators, the Brownian bridge is attractive, because it has only a single adjustable parameter, the diffusion coefficient. This paper investigates the suitability of the Brownian bridge for interpolating human locations using mobility data from over 12 million people. One section looks at the consistency of the diffusion coefficient from person to person. As part of this, the paper presents, for the first time, a closed form solution for the maximum likelihood estimate of this parameter. The paper also presents statistical tests aimed at evaluating the accuracy of the Brownian bridge for interpolating human location.

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Cited By

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  • (2024)BBScoreProceedings of the Thirty-Eighth AAAI Conference on Artificial Intelligence and Thirty-Sixth Conference on Innovative Applications of Artificial Intelligence and Fourteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v38i13.29414(14937-14945)Online publication date: 20-Feb-2024
  • (2024)Optimal stopping of Gauss–Markov bridgesAdvances in Applied Probability10.1017/apr.2024.21(1-34)Online publication date: 4-Dec-2024
  • (2023)Time-variant road network-based bridgelets2023 24th IEEE International Conference on Mobile Data Management (MDM)10.1109/MDM58254.2023.00050(265-273)Online publication date: Jul-2023

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Published In

cover image ACM Conferences
SIGSPATIAL '21: Proceedings of the 29th International Conference on Advances in Geographic Information Systems
November 2021
700 pages
ISBN:9781450386647
DOI:10.1145/3474717
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 04 November 2021

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Author Tags

  1. brownian bridge
  2. human mobility
  3. location interpolation
  4. probabilistic location

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Cited By

View all
  • (2024)BBScoreProceedings of the Thirty-Eighth AAAI Conference on Artificial Intelligence and Thirty-Sixth Conference on Innovative Applications of Artificial Intelligence and Fourteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v38i13.29414(14937-14945)Online publication date: 20-Feb-2024
  • (2024)Optimal stopping of Gauss–Markov bridgesAdvances in Applied Probability10.1017/apr.2024.21(1-34)Online publication date: 4-Dec-2024
  • (2023)Time-variant road network-based bridgelets2023 24th IEEE International Conference on Mobile Data Management (MDM)10.1109/MDM58254.2023.00050(265-273)Online publication date: Jul-2023

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