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Second-order control of complex systems with correlated synthetic data

Author

Listed:
  • Juste Raimbault

    (Center for Advanced Spatial Analysis, UCL - UCL - University College of London [London], ISC-PIF - Institut des Systèmes Complexes - Paris Ile-de-France - ENS Cachan - École normale supérieure - Cachan - UP1 - Université Paris 1 Panthéon-Sorbonne - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - Institut Curie [Paris] - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique, GC (UMR_8504) - Géographie-cités - UP1 - Université Paris 1 Panthéon-Sorbonne - UPD7 - Université Paris Diderot - Paris 7 - CNRS - Centre National de la Recherche Scientifique)

Abstract

The generation of synthetic data is an essential tool to study complex systems, allowing for example to test models of these in precisely controlled settings, or to parametrize simulation models when data is missing. This paper focuses on the generation of synthetic data with an emphasis on correlation structure. We introduce a new methodology to generate such correlated synthetic data. It is implemented in the field of socio-spatial systems, more precisely by coupling an urban growth model with a transportation network generation model. We also show the genericity of the method with an application on financial time-series. The simulation results show that the generation of correlated synthetic data for such systems is indeed feasible within a broad range of correlations, and suggest applications of such synthetic datasets.

Suggested Citation

  • Juste Raimbault, 2019. "Second-order control of complex systems with correlated synthetic data," Post-Print halshs-02376968, HAL.
  • Handle: RePEc:hal:journl:halshs-02376968
    DOI: 10.1186/s40294-019-0065-y
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02376968v1
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    References listed on IDEAS

    as
    1. Rémy Chicheportiche & J-P Bouchaud, 2015. "A nested factor model for non-linear dependencies in stock returns," Post-Print hal-01339978, HAL.
    2. Barndorff-Nielsen, Ole E. & Hansen, Peter Reinhard & Lunde, Asger & Shephard, Neil, 2011. "Multivariate realised kernels: Consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading," Journal of Econometrics, Elsevier, vol. 162(2), pages 149-169, June.
    3. Juste Raimbault & Clémentine Cottineau & Marion Le Texier & Florent Le Nechet & Romain Reuillon, 2019. "Space Matters: Extending Sensitivity Analysis to Initial Spatial Conditions in Geosimulation Models," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 22(4), pages 1-10.
    4. R. Chicheportiche & J.-P. Bouchaud, 2015. "A nested factor model for non-linear dependencies in stock returns," Quantitative Finance, Taylor & Francis Journals, vol. 15(11), pages 1789-1804, November.
    5. Guillaume Chérel & Clémentine Cottineau & Romain Reuillon, 2015. "Beyond Corroboration: Strengthening Model Validation by Looking for Unexpected Patterns," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-28, September.
    6. Ramsey, J.B., 2002. "Wavelets in Economics and Finance: Past and Future," Working Papers 02-02, C.V. Starr Center for Applied Economics, New York University.
    7. Chen, Yanguang, 2009. "Urban gravity model based on cross-correlation function and Fourier analyses of spatio-temporal process," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 603-614.
    8. Beckman, Richard J. & Baggerly, Keith A. & McKay, Michael D., 1996. "Creating synthetic baseline populations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(6), pages 415-429, November.
    9. Juste Raimbault & Clémentine Cottineau & Marion Le Texier & Florent Le Néchet & Romain Reuillon, 2019. "Space Matters: Extending Sensitivity Analysis to Initial Spatial Conditions in Geosimulation Models," Post-Print halshs-02353359, HAL.
    10. J.-P. Bouchaud & M. Potters & M. Meyer, 2000. "Apparent multifractality in financial time series," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 13(3), pages 595-599, February.
    11. Johan Barthelemy & Philippe L. Toint, 2013. "Synthetic Population Generation Without a Sample," Transportation Science, INFORMS, vol. 47(2), pages 266-279, May.
    12. Abadie, Alberto & Diamond, Alexis & Hainmueller, Jens, 2010. "Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California’s Tobacco Control Program," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 493-505.
    13. Ramsey James B., 2002. "Wavelets in Economics and Finance: Past and Future," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-29, November.
    14. Juste Raimbault, 2018. "Calibration of a density-based model of urban morphogenesis," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-18, September.
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