Hankel Imputation for Robust Network Throughput Forecasting

Authors

DOI:

https://doi.org/10.5753/jisa.2026.6821

Keywords:

Imputation, Forecasting, Throughput, Hankel, Performance

Abstract

Network operators rely on analysis of data of monitoring applications to support strategic planning and ensure Quality of Service (QoS). Among network performance metrics, throughput is particularly critical, as it reflects the actual data successfully delivered between endpoints despite external interference. However, throughput time series are often affected by missing values due to measurement-test failures, the retention of incomplete or failed test records in datasets, and general server-side issues , which compromise data quality and hinder downstream tasks such as traffic forecasting. To address this data quality challenge, we propose HAIL (Hankel Adaptive Imputation via Latent Space), a novel algorithm designed to reconstruct incomplete throughput series using the available throughput measurements and the intrinsic temporal information. HAIL combines Hankel matrix embedding with latent space imputation to capture and preserve the underlying temporal structure. In addition to evaluating HAIL’s imputation accuracy, we assessed the downstream utility of the reconstructed datasets by using them to train GRU and LSTM forecasting models and measuring the resulting forecasting performance. The experimental results demonstrate that the HAIL algorithm restores missing throughput patterns, outperforming the baseline methods at missingness rates of 10%, 15%, and 20%, and achieving a slightly lower RMSE in the forecasting results obtained with the datasets imputed by HAIL. Experimental results demonstrate that HAIL effectively restores missing throughput patterns, maintaining temporal consistency and improving the reliability of network performance forecasting.

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Author Biography

Rafael L. Gomes, State University of Ceará

Rafael Lopes Gomes is an Associate Professor of State University of Ceará (UECE) and has a Productivity Technological Development and Innovative Extension Scholarship of CNPq (DT - Level 2). Currently, he is the coordinator of the Laboratory of Computer Networks and Security (LARCES). He received a Ph.D degree in Computer Science from the University of Campinas (UNICAMP) in Brazil. He was a research visitor at Network Research Lab from the University of California Los Angeles (UCLA) in 2014. He has experience and R&D projects on the following topics: Network Management, Cybersecurity, Software Defined Networks, Resilience Planning, Wireless Networks and Internet of Things.

References

Adedayo, A. O. and Twala, B. (2017). Qos functionality in software defined network. In 2017 International Conference on Information and Communication Technology Convergence (ICTC), pages 693-699. DOI: 10.1109/ICTC.2017.8191068.

Alkenani, J. and Nassar, K. (2022). Network monitoring measurements for quality of service: A review. Iraqi Journal for Electrical and Electronic Engineering, 18:33-42. DOI: 10.37917/ijeee.18.2.5.

Arquam, M. and Kumari, S. (2025). Maximization of Communication Network Throughput Using Dynamic Traffic Allocation Scheme, page 116–127. Springer Nature Singapore. DOI: 10.1007/978-981-96-5887-9_9.

Brito, M. L. L., Ferreira, M. C. M., Portela, A. L. C., and Gomes, R. L. (2026). Ai-based estimation of bandwidth availability for data offloading in edge-cloud computing. IEEE Networking Letters, 8:69-73. DOI: 10.1109/LNET.2025.3614770.

C. Júnior, E., L. Costa, W., L. C. Portela, A., S. Rocha, L., L. Gomes, R., and M. C. Andrade, R. (2022). Detecting attacks and locating malicious devices using unmanned air vehicles and machine learning. Journal of Internet Services and Applications, 13(1):11–20. DOI: 10.5753/jisa.2022.2327.

Costa, M. A., Costa, Y. M., Almeida, Y. O., Cardoso, F. J., and Gomes, R. L. (2024). Connection management using automated firewall based on threat intelligence. In Proceedings of the 2024 Latin America Networking Conference, LANC '24, page 32–37, New York, NY, USA. Association for Computing Machinery. DOI: 10.1145/3685323.3685331.

Ferreira, M. C., Ribeiro, S. E., Nobre, F. V., Linhares, M. L., Araújo, T. P., and Gomes, R. L. (2024). Mitigating measurement failures in throughput performance forecasting. In 2024 20th International Conference on Network and Service Management (CNSM), pages 1-7. DOI: 10.23919/CNSM62983.2024.10814394.

Gomes, R. L., Bittencourt, L. F., Madeira, E. R., Cerqueira, E., and Gerla, M. (2016a). A combined energy-bandwidth approach to allocate resilient virtual software defined networks. Journal of Network and Computer Applications, 69:98-106. DOI: 10.1016/j.jnca.2016.02.024.

Gomes, R. L., Bittencourt, L. F., and Madeira, E. R. M. (2013). A virtual network allocation algorithm for reliability negotiation. In 2013 22nd International Conference on Computer Communication and Networks (ICCCN), pages 1-7. DOI: 10.1109/ICCCN.2013.6614097.

Gomes, R. L., Bittencourt, L. F., and Madeira, E. R. M. (2014). Supporting sla negotiation for vsdn based on similarity and price issues. In 2014 IEEE 13th International Symposium on Network Computing and Applications, pages 287-290. DOI: 10.1109/NCA.2014.49.

Gomes, R. L., Bittencourt, L. F., Madeira, E. R. M., Cerqueira, E. C., and Gerla, M. (2016b). Software-defined management of edge as a service networks. IEEE Transactions on Network and Service Management, 13(2):226-239. DOI: 10.1109/TNSM.2016.2538821.

Ju, H. and Zhang, R. (2014). Throughput maximization in wireless powered communication networks. IEEE Transactions on Wireless Communications, 13(1):418-428. DOI: 10.1109/TWC.2013.112513.130760.

Khattab, A. A. R., Elshennawy, N. M., and Fahmy, M. (2023). Gma: Gap imputing algorithm for time series missing values. Journal of Electrical Systems and Information Technology, 10(1):41. DOI: 10.1186/s43067-023-00094-1.

Khayati, M., Lerner, A., Tymchenko, Z., and Cudré-Mauroux, P. (2020). Mind the gap: an experimental evaluation of imputation of missing values techniques in time series. Proc. VLDB Endow., 13(5):768–782. DOI: 10.14778/3377369.3377383.

Liu, H. and Li, L. (2022). Missing data imputation in gnss monitoring time series using temporal and spatial hankel matrix factorization. Remote Sensing, 14(6). DOI: 10.3390/rs14061500.

Liu, X., Xu, B., Zheng, K., and Zheng, H. (2023). Throughput maximization of wireless-powered communication network with mobile access points. IEEE Transactions on Wireless Communications, 22(7):4401-4415. DOI: 10.1109/TWC.2022.3225085.

Lopes, R., Rand, D., Chown, T., Golub, I., and Vuletić, P. (2023). Network performance tests over the 100G BELLA link between GÉANT and RNP. White Paper GN4-3-22-T5D0T7, GÉANT Association.

Ma, Q., Zheng, J., Li, S., and Cottrell, G. W. (2019). Learning representations for time series clustering. Available at:[link].

Minovski, D., Ögren, N., Mitra, K., and Åhlund, C. (2023). Throughput prediction using machine learning in lte and 5g networks. IEEE Transactions on Mobile Computing, 22(3):1825-1840. DOI: 10.1109/TMC.2021.3099397.

Nascimento, E. S., Pimenta, I. A., Lee, M. H., de Araujo, T., and Gomes, R. L. (2026). A decoupled embedding-based framework for efficient node classification on social networks. Journal of Internet Services and Applications, 17(1):214–223. DOI: 10.5753/jisa.2026.7105.

Niako, N., Melgarejo, J. D., Maestre, G. E., and Vatcheva, K. P. (2024). Effects of missing data imputation methods on univariate blood pressure time series data analysis and forecasting with arima and lstm. BMC Medical Research Methodology, 24(1):320. DOI: 10.1186/s12874-024-02448-3.

Nobre, F. V. J., Alves, D. O., Araujo, R. S., Campos, G. A., and Gomes, R. L. (2026). Risk classification of ip addresses using machine learning with weighted voting approach. In Rodrigues, L. A. and Oliveira, R., editors, Dependable and Secure Computing, pages 320-328, Cham. Springer Nature Switzerland. DOI: 10.1007/978-3-032-11539-3_19.

Nobre, F. V. J., Araujo, R. S., Alves, D. O., Nascimento, E. S., Rodrigues, L. S., and Gomes, R. L. (2025a). Network connection management based on the integration of artificial intelligence for it operations and threat intelligence databases. In 2025 23rd International Symposium on Network Computing and Applications (NCA), pages 95-102. DOI: 10.1109/NCA67271.2025.00027.

Nobre, F. V. J., Silva, D. d. S., Ferreira, M. C. M. M., Brito, M. L. M. L., de Araújo, T. P., and Gomes, R. L. (2025b). Time-weighted correlation approach to identify high delay links in internet service providers. Journal of Internet Services and Applications, 16(1):419–430. DOI: 10.5753/jisa.2025.5218.

Pimenta, I. A., Lee, M. H., Bittencourt, L. F., and Gomes, R. L. (2026). Adaptive privacy based on mutual information for machine learning in edge–cloud environments. IEEE Networking Letters, 8:49-53. DOI: 10.1109/LNET.2025.3607555.

Portela, A., Linhares, M. M., Nobre, F. V. J., Menezes, R., Mesquita, M., and Gomes, R. L. (2024). The role of tcp congestion control in the throughput forecasting. In Proceedings of the 13th Latin-American Symposium on Dependable and Secure Computing, Proceedings of the 13th Latin-American Symposium on Dependable and Secure Computing (LADC 2024), page 196–199, New York, NY, USA. Association for Computing Machinery. DOI: 10.1145/3697090.3699869.

Sharma, A., Pandit, S., and Talluri, S. R. (2025). Throughput prediction of fifth-generation cellular system using hybrid feature selection and enhanced sequential decision tree machine learning algorithm. Wireless Networks, 31(3):3025-3042. DOI: 10.1007/s11276-025-03917-3.

Wang, X., Sen, P., Li, R., and Yilmaz, E. (2024). Simulated task oriented dialogues for developing versatile conversational agents. In Advances in Information Retrieval: 46th European Conference on Information Retrieval, ECIR 2024, Glasgow, UK, March 24–28, 2024, Proceedings, Part I, page 157–172, Berlin, Heidelberg. Springer-Verlag. DOI: 10.1007/978-3-031-56027-9_10.

Younas, M. I., Iqbal, M. J., Aziz, A., and Sodhro, A. H. (2023). Toward qos monitoring in iot edge devices driven healthcare—a systematic literature review. Sensors, 23(21). DOI: 10.3390/s23218885.

Zheng, Y., Koh, H. Y., Jin, M., Chi, L., Wang, H., Phan, K. T., Chen, Y.-P. P., Pan, S., and Xiang, W. (2024). Graph spatiotemporal process for multivariate time series anomaly detection with missing values. Available at:[link].

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Published

2026-10-27

How to Cite

Mesquita, M. C., Linhares, M. L., Santos, J. R., Portela, A. L., & Gomes, R. L. (2026). Hankel Imputation for Robust Network Throughput Forecasting. Journal of Internet Services and Applications, 17(1), 473–483. https://doi.org/10.5753/jisa.2026.6821

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Research article