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Temporal metagraph: A new mathematical approach to capture temporal dependencies and interactions between different entities over time

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  • Iglesias-Perez, Sergio
  • Criado, Regino

Abstract

Predicting real estate prices is a difficult task that requires consideration of various factors and their dynamic interactions over time. In this study, based on the introduction of a new mathematical structure called temporal metagraph, we use a novel approach that exploits the properties of this structure to predict real estate prices in Helsinki by integrating information derived from bicycle trips. The temporal metagraph concept intrinsically captures temporal dependencies and interactions between different entities or agents (nodes of the metagraph), allowing us to model and analyze different real situations and, in particular, the dynamic relationships between bicycle commuting and real estate prices. Our experimental results demonstrate the effectiveness of the proposed approach, as more accurate and reliable predictions are achieved than traditional models, which are based solely on historical price data.

Suggested Citation

  • Iglesias-Perez, Sergio & Criado, Regino, 2023. "Temporal metagraph: A new mathematical approach to capture temporal dependencies and interactions between different entities over time," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s096007792300841x
    DOI: 10.1016/j.chaos.2023.113940
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    References listed on IDEAS

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    1. Rahul Goel & Anna Goodman & Rachel Aldred & Ryota Nakamura & Lambed Tatah & Leandro Martin Totaro Garcia & Belen Zapata-Diomedi & Thiago Herick de Sa & Geetam Tiwari & Audrey de Nazelle & Marko Tainio, 2022. "Cycling behaviour in 17 countries across 6 continents: levels of cycling, who cycles, for what purpose, and how far?," Transport Reviews, Taylor & Francis Journals, vol. 42(1), pages 58-81, January.
    2. Iglesias Pérez, Sergio & Moral-Rubio, Santiago & Criado, Regino, 2021. "A new approach to combine multiplex networks and time series attributes: Building intrusion detection systems (IDS) in cybersecurity," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Petter Holme, 2015. "Modern temporal network theory: a colloquium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(9), pages 1-30, September.
    4. Pérez, Sergio Iglesias & Moral-Rubio, Santiago & Criado, Regino, 2023. "Combining multiplex networks and time series: A new way to optimize real estate forecasting in New York using cab rides," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
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