IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v390y2011i21p4002-4011.html
   My bibliography  Save this article

Estimation of network structures only from spike sequences

Author

Listed:
  • Kuroda, Kaori
  • Ashizawa, Tohru
  • Ikeguchi, Tohru

Abstract

A neuron, the fundamental element of neural systems, interacts with other neurons, often producing very complicated behavior. To analyze, model, or predict such complicated behavior, it is important to understand how neurons are connected as well as how they behave. In this paper, we propose two measures, the spike time metric coefficient and the partial spike time metric coefficient, to estimate the network structure, that is, the topological connectivity between neurons. The proposed measures are based on the spike time metric and partialization analysis. To check the validity, we applied the proposed measures to asynchronous spike sequences that are produced by a mathematical neural network model. It was found that the proposed measure has high performance for estimating the network structures even though the structures have a complex topology such as a small-world structure or a scale-free structure.

Suggested Citation

  • Kuroda, Kaori & Ashizawa, Tohru & Ikeguchi, Tohru, 2011. "Estimation of network structures only from spike sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 4002-4011.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:21:p:4002-4011
    DOI: 10.1016/j.physa.2011.06.026
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437111004730
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2011.06.026?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. Zhou, Jin & Lu, Jun-an, 2007. "Topology identification of weighted complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 481-491.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kuroda, Kaori & Hashiguchi, Hiroki & Fujiwara, Kantaro & Ikeguchi, Tohru, 2014. "Reconstruction of network structures from marked point processes using multi-dimensional scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 194-204.

    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. Zheng, Yi & Wu, Xiaoqun & Fan, Ziye & Wang, Wei, 2022. "Identifying topology and system parameters of fractional-order complex dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    2. Tang, Hongwu & Chen, Liang & Lu, Jun-an & Tse, Chi K., 2008. "Adaptive synchronization between two complex networks with nonidentical topological structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5623-5630.
    3. Zhao, Xueyi & Ning, Di & Deng, Lebin, 2022. "Parameter and topology identification of delayed hypernetworks with stochastic perturbation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    4. Pandey, Pradumn Kumar & Badarla, Venkataramana, 2018. "Reconstruction of network topology using status-time-series data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 573-583.
    5. Yan, Jiaye & Zhou, Jiaying & Wu, Zhaoyan, 2019. "Structure identification of unknown complex-variable dynamical networks with complex coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 256-265.
    6. He, Tao & Lu, Xiliang & Wu, Xiaoqun & Lu, Jun-an & Zheng, Wei Xing, 2013. "Optimization-based structure identification of dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 1038-1049.
    7. Yong Pei & Churong Chen & Dechang Pi, 2022. "Topology Identification of Time-Scales Complex Networks," Mathematics, MDPI, vol. 10(10), pages 1-14, May.
    8. Jin, Yunguo, 2019. "Parameter recognition for complex networks subjected to noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    9. Wu, Xiaoqun, 2008. "Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 997-1008.

    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:phsmap:v:390:y:2011:i:21:p:4002-4011. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.