IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v675y2025ics0378437125004364.html

The impact of reciprocal links on learning performance of critical neural networks

Author

Listed:
  • Chen, Xin-Yue
  • Tao, Lei
  • Wang, Sheng-Jun
  • Huang, Zi-Gang

Abstract

Topological features significantly influence a network’s behavior and functional performance, particularly in terms of information transmission efficiency, learning, adaptation, and resource utilization. This paper focuses on the impact of network connectivity, specifically the role of reciprocal links, on the ability of neural networks in critical states to learn Boolean rules. Notably, the prevalence of reciprocal links in the cerebral cortex suggests that they play an important role in information processing. Our findings demonstrate that reciprocal links markedly enhance learning performance. As the backbone structure of the network becomes more complex with the addition of reciprocal links, there is an increase in alternative paths. This, in turn, facilitates more efficient signal transmission from input to output sites, ultimately leading to a higher learning success rate. Reciprocal links not only optimize information transmission pathways but also diminish the influence of irrelevant neurons, thus enhancing resource utilization efficiency.

Suggested Citation

  • Chen, Xin-Yue & Tao, Lei & Wang, Sheng-Jun & Huang, Zi-Gang, 2025. "The impact of reciprocal links on learning performance of critical neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).
  • Handle: RePEc:eee:phsmap:v:675:y:2025:i:c:s0378437125004364
    DOI: 10.1016/j.physa.2025.130784
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125004364
    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.2025.130784?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Lei Tao & Sheng-Jun Wang & Zi-Gang Huang, 2024. "Critical branching dynamics in excitable network without refractory periods," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(07), pages 1-12, July.
    2. Li, Kun & Chen, Zhiyu & Cong, Rui & Zhang, Jianlei & Wei, Zhenlin, 2024. "Simulated dynamics of virus spreading on social networks with various topologies," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    3. Raimo, Dario & Sarracino, Alessandro & de Arcangelis, Lucilla, 2021. "Role of inhibitory neurons in temporal correlations of critical and supercritical spontaneous activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    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. Wang, Yuchen & Wang, Huidi & Gao, Chao & Fan, Kefeng & Cheng, Hailong & Shen, Zhijie & Wang, Zhen & Perc, Matjaž, 2025. "Learning influence probabilities in diffusion networks without timestamps," Applied Mathematics and Computation, Elsevier, vol. 503(C).
    2. Wang, Chengjie & Deng, Juan & Zhao, Hui & Li, Li, 2024. "Effect of Q-learning on the evolution of cooperation behavior in collective motion: An improved Vicsek model," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    3. Yu, Guihai & Kang, Yuwei & Li, Xiaopeng & Perc, Matjaž & Završnik, Jernej, 2026. "Evolution of global healthcare trade networks: Structural fracture detection, topological responses, and cross-commodity dependency restructuring," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    4. Zhen, Rong & Dong, Han & Qiao, Qian & Wu, Bing, 2026. "A novel method for identifying key focus ships in a complex network based on ship collision risks," Reliability Engineering and System Safety, Elsevier, vol. 265(PA).
    5. Wang, Guowei & Wu, Yong & Xiao, Fangli & Ye, Zhiqiu & Jia, Ya, 2022. "Non-Gaussian noise and autapse-induced inverse stochastic resonance in bistable Izhikevich neural system under electromagnetic induction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    6. Li, Kun & Wang, Xia & Lu, Fei & Zhang, Zhe & Sun, Xiaodi, 2025. "Research on monitoring mechanism of autonomous taxi: an evolutionary game approach," Applied Mathematics and Computation, Elsevier, vol. 507(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:675:y:2025:i:c:s0378437125004364. 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.