IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v275y2016icp195-212.html
   My bibliography  Save this article

Particle-based meta-model for continuous breakpoint optimization in smooth local-support curve fitting

Author

Listed:
  • Gálvez, Akemi
  • Iglesias, Andrés

Abstract

This paper concerns the process of computing the underlying function of a given set of data points. In many cases, it is not possible to obtain an analytical solution for this problem so the goal is transformed into that of computing a meta-model instead. In this paper we seek to compute a smooth meta-model of such points based on local-support free-form parametric curves. Given an initial parameterization, our method applies a particle-based metaheuristic approach to determine optimal values for the breakpoints and poles of the fitting curve, which is well-known to be a continuous nonlinear optimization problem. The performance of our approach is evaluated by its application to two illustrative examples: a synthetic academic shape and a real-world shape. Our experimental results show that the proposed scheme performs very well, even for shapes with underlying functions exhibiting challenging features, such as self-intersections and sharp changes of curvature. Comparative results show that our approach outperforms previous approaches in terms of generality and fitting error accuracy.

Suggested Citation

  • Gálvez, Akemi & Iglesias, Andrés, 2016. "Particle-based meta-model for continuous breakpoint optimization in smooth local-support curve fitting," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 195-212.
    • Handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:195-212
    DOI: 10.1016/j.amc.2015.11.050
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315015520
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.11.050?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yuan Yuan & Nan Chen & Shiyu Zhou, 2013. "Adaptive B-spline knot selection using multi-resolution basis set," IISE Transactions, Taylor & Francis Journals, vol. 45(12), pages 1263-1277.
    2. Matthew Martin, 1997. "Introduction," African Development Review, African Development Bank, vol. 9(1), pages 1-19.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Schmidt, Manfred G., 2001. "Parteien und Staatstätigkeit," Working papers of the ZeS 02/2001, University of Bremen, Centre for Social Policy Research (ZeS).
    2. Kovács, Péter & Fekete, Andrea M., 2019. "Nonlinear least-squares spline fitting with variable knots," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 490-501.
    3. Bera, Achinta & Babadagli, Tayfun, 2015. "Status of electromagnetic heating for enhanced heavy oil/bitumen recovery and future prospects: A review," Applied Energy, Elsevier, vol. 151(C), pages 206-226.
    4. David Martin & Sidney Swearingen, 2019. "Improving Environmental Justice Analysis of Urban Tree Ecosystem Services: A Case Study from Asheville, NC," Working Papers 19-01, Davidson College, Department of Economics.
    5. Ali Shafiei & Mohammad Ali Ahmadi & Maurice B. Dusseault & Ali Elkamel & Sohrab Zendehboudi & Ioannis Chatzis, 2018. "Data Analytics Techniques for Performance Prediction of Steamflooding in Naturally Fractured Carbonate Reservoirs," Energies, MDPI, vol. 11(2), pages 1-29, January.
    6. World Bank, 2003. "Nicaragua - Poverty Assessment : Raising Welfare and Reducing Vulnerability," World Bank Publications - Reports 14668, The World Bank Group.
    7. Piotr Kasza & Marek Czupski & Klaudia Wilk & Mateusz Masłowski & Rafał Moska & Łukasz Leśniak, 2020. "Laboratory Testing of Novel Polyfraction Nanoemulsion for EOR Processes in Carbonate Formations," Energies, MDPI, vol. 13(16), pages 1-16, August.
    8. Ridha Gharbi & Abdullah Alajmi & Meshal Algharaib, 2012. "The Potential of a Surfactant/Polymer Flood in a Middle Eastern Reservoir," Energies, MDPI, vol. 5(1), pages 1-13, January.
    9. Syed Hammad Mian & Abdulrahman Al-Ahmari, 2019. "Comparative analysis of different digitization systems and selection of best alternative," Journal of Intelligent Manufacturing, Springer, vol. 30(5), pages 2039-2067, June.
    10. Pan-Sang Kang & Jong-Se Lim & Chun Huh, 2016. "Screening Criteria and Considerations of Offshore Enhanced Oil Recovery," Energies, MDPI, vol. 9(1), pages 1-18, January.
    11. Nien, Benjamin Chih-Chien, 2006. "Study on Applications of Supply and Demand Theory of Microeconomics and Physics Field Theory to Central Place Theory," MPRA Paper 390, University Library of Munich, Germany, revised 10 Oct 2006.
    12. Hassan, Anas M. & Ayoub, M. & Eissa, M. & Musa, T. & Bruining, Hans & Farajzadeh, R., 2019. "Exergy return on exergy investment analysis of natural-polymer (Guar-Arabic gum) enhanced oil recovery process," Energy, Elsevier, vol. 181(C), pages 162-172.
    13. Dragos Cazacu, 2016. "The Integrated Causal Process Field Approach," Romanian Economic Business Review, Romanian-American University, vol. 10(2), pages 285-298, December.
    14. Tarighi, Sina & Shavvalpour, Saeed, 2021. "Technological development of E&P companies in developing countries: An integrative approach to define and prioritize customized elements of technological capability in EOR," Resources Policy, Elsevier, vol. 72(C).
    15. Geraldo A. R. Ramos & Lateef Akanji, 2017. "Data Analysis and Neuro-Fuzzy Technique for EOR Screening: Application in Angolan Oilfields," Energies, MDPI, vol. 10(7), pages 1-33, June.
    16. Jiong Sun & Laurens G. Debo & Sunder Kekre & Jinhong Xie, 2010. "Component-Based Technology Transfer in the Presence of Potential Imitators," Management Science, INFORMS, vol. 56(3), pages 536-552, March.
    17. Judy Currey & Jan Browne & Mari Botti, 2006. "Haemodynamic instability after cardiac surgery: nurses’ perceptions of clinical decision‐making," Journal of Clinical Nursing, John Wiley & Sons, vol. 15(9), pages 1081-1090, September.
    18. Alkadri, Miktha Farid & De Luca, Francesco & Turrin, Michela & Sariyildiz, Sevil, 2020. "An integrated approach to subtractive solar envelopes based on attribute information from point cloud data," Renewable and Sustainable Energy Reviews, Elsevier, vol. 123(C).
    19. Victor Fernández-Blanco & Juan Prieto-Rodríguez, 2011. "Museums," Chapters, in: Ruth Towse (ed.), A Handbook of Cultural Economics, Second Edition, chapter 40, Edward Elgar Publishing.
    20. Bossie-Codreanu, D. & Le Gallo, Y., 2004. "A simulation method for the rapid screening of potential depleted oil reservoirs for CO2 sequestration," Energy, Elsevier, vol. 29(9), pages 1347-1359.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:195-212. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.