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Energy-Efficient Wireless Power Transfer for Sustainable Federated Learning

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Abstract

Federated Learning (FL) has attracted great attention in recent years and is considered as an enabling technology in future smart wireless networks. Nevertheless, this learning paradigm faces a severe challenge in its implementation procedure, i.e., energy shortage issue. Different from the traditional centralized training paradigm, the training procedure of FL is carried out on mobile devices. Generally, the training tasks are computation-intensive and may involve several communication rounds for transmitting large-sized machine learning models, which indicates that they are high energy-consuming. This characteristic increases burden on mobile devices with limited battery capacity. In this paper, we employ the Radio Frequency (RF)-based Wireless Power Transfer (WPT) technology and time switching energy harvesting architecture to realize a sustainable FL framework, and then design a resource optimization strategy based on the dual and line search methods to minimize the amount of Transferred Energy (TE) required for completing the learning. Moreover, we interpret the Karush–Kuhn–Tucker (KKT) conditions of the formulated problem and obtain some engineering insights. Simulation results verify the convergence of the proposed resource optimization strategy and demonstrate the advantage of the proposed framework over the existing work in terms of TE.

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Data Availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

Notes

  1. This assumption is practical. Due to the size and cost limitation, many mobile devices are only equipped with one antenna. This assumption also exists in many papers, such as [7,8,9].

  2. Note that C3 contains N constraints corresponding to N devices.

References

  1. McMahan, B., Moore, E., Ramage, D., Hampson, S., & Arcas, B. A. (2017). Communication-efficient learning of deep networks from decentralized data. In Artificial intelligence and statistics (pp. 1273–1282).

  2. Chen, M., Yang, Z., Saad, W., Yin, C., Poor, H. V., & Cui, S. (2020). A joint learning and communications framework for federated learning over wireless networks. IEEE Transactions on Wireless Communications, 20, 269–283.

    Article  Google Scholar 

  3. López, O. L., Alves, H., Souza, R. D., Montejo-Sánchez, S., Fernández, E. M. G., & Latva-Aho, M. (2021). Massive wireless energy transfer: Enabling sustainable IoT toward 6G era. IEEE Internet of Things Journal, 8(11), 8816–8835.

    Article  Google Scholar 

  4. Zhang, R., & Ho, C. K. (2013). Mimo broadcasting for simultaneous wireless information and power transfer. IEEE Transactions on Wireless Communications, 12(5), 1989–2001.

    Article  Google Scholar 

  5. Bi, S., Zeng, Y., & Zhang, R. (2016). Wireless powered communication networks: An overview. IEEE Wireless Communications, 23(2), 10–18.

    Article  Google Scholar 

  6. Zeng, Q., Du, Y., Huang, K., & Leung, K. K. (2020). Energy-efficient radio resource allocation for federated edge learning. In 2020 IEEE international conference on communications workshops (ICC workshops) (pp 1–6). IEEE.

  7. Yang, Z., Chen, M., Saad, W., Hong, C. S., & Shikh-Bahaei, M. (2020). Energy efficient federated learning over wireless communication networks. IEEE Transactions on Wireless Communications, 20, 1935–1949.

    Article  Google Scholar 

  8. Dinh, C. T., Tran, N. H., Nguyen, M. N., Hong, C. S., Bao, W., Zomaya, A. Y., & Gramoli, V. (2020). Federated learning over wireless networks: Convergence analysis and resource allocation. IEEE/ACM Transactions on Networking, 29, 398–409.

    Article  Google Scholar 

  9. Yao, J., & Ansari, N. (2020). Enhancing federated learning in fog-aided IoT by CPU frequency and wireless power control. IEEE Internet of Things Journal, 8(5), 3438–3445.

    Article  Google Scholar 

  10. Li, L., Shi, D., Hou, R., Li, H., Pan, M., & Han, Z. (2021). To talk or to work: Flexible communication compression for energy efficient federated learning over heterogeneous mobile edge devices. In IEEE INFOCOM 2021-IEEE conference on computer communications (pp. 1–10). IEEE.

  11. Mo, X., & Xu, J. (2021). Energy-efficient federated edge learning with joint communication and computation design. Journal of Communications and Information Networks, 6(2), 110–124.

    Article  Google Scholar 

  12. Zeng, Q., Du, Y., Huang, K., & Leung, K. K. (2021). Energy-efficient resource management for federated edge learning with CPU-GPU heterogeneous computing. IEEE Transactions on Wireless Communications, 20, 7947–7962.

    Article  Google Scholar 

  13. Albaseer, A. M., Abdallah, M., Al-Fuqaha, A., & Erbad, A. (2021). Fine-grained data selection for improved energy efficiency of federated edge learning. IEEE Transactions on Network Science and Engineering, 9, 3258–3271.

    Article  MathSciNet  Google Scholar 

  14. Ruby, R., Yang, H., de Figueiredo, F. A., Huynh-The, T., & Wu, K. (2022). Energy-efficient multiprocessor-based computation and communication resource allocation in two-tier federated learning networks. IEEE Internet of Things Journal, 10(7), 5689–5703.

    Article  Google Scholar 

  15. Battiloro, C., Di Lorenzo, P., Merluzzi, M., & Barbarossa, S. (2022). Lyapunov-based optimization of edge resources for energy-efficient adaptive federated learning. IEEE Transactions on Green Communications and Networking, 7(1), 265–280.

    Article  Google Scholar 

  16. Chen, R., Li, L., Xue, K., Zhang, C., Pan, M., & Fang, Y. (2022). Energy efficient federated learning over heterogeneous mobile devices via joint design of weight quantization and wireless transmission. IEEE Transactions on Mobile Computing, 22, 7451–7465.

    Google Scholar 

  17. Peng, C., Hu, Q., Wang, Z., Liu, R. W., & Xiong, Z. (2022). Online-learning-based fast-convergent and energy-efficient device selection in federated edge learning. IEEE Internet of Things Journal, 10(6), 5571–5582.

    Article  Google Scholar 

  18. Xu, G., Li, X., Li, H., Fan, Q., Wang, X., & Leung, V. C. (2023). Energy-efficient dynamic asynchronous federated learning in mobile edge computing networks. In ICC 2023-IEEE international conference on communications (pp. 160–165). IEEE.

  19. Magoula, L., Koursioumpas, N., Thanopoulos, A. I., Panagea, T., Petropouleas, N., Gutierrez-Estevez, M., & Khalili, R. (2023). A safe genetic algorithm approach for energy efficient federated learning in wireless communication networks. arXiv preprint arXiv:2306.14237

  20. Ren, Y., Wu, C., & So, D. K. (2023). Joint edge association and aggregation frequency for energy-efficient hierarchical federated learning by deep reinforcement learning. In ICC 2023-IEEE international conference on communications (pp. 3639–3645). IEEE.

  21. Zhao, T., Chen, X., Sun, Q., & Zhang, J. (2023). Energy-efficient federated learning over cell-free IoT networks: Modeling and optimization. IEEE Internet of Things Journal, 10, 17436–17449.

    Article  Google Scholar 

  22. Yao, J., & Sun, X. (2023). Energy-efficient federated learning in internet of drones networks. In 2023 IEEE 24th international conference on high performance switching and routing (HPSR) (pp. 185–190). IEEE.

  23. Vaishnav, S., Efthymiou, M., & Magnússon, S. (2023). Energy-efficient and adaptive gradient sparsification for federated learning. In ICC 2023-IEEE international conference on communications (pp. 1256–1261). IEEE.

  24. Tran, H. V., Kaddoum, G., Elgala, H., Abou-Rjeily, C., & Kaushal, H. (2020). Lightwave power transfer for federated learning-based wireless networks. IEEE Communications Letters, 24(7), 1472–1476.

    Article  Google Scholar 

  25. Pham, Q. V., Zeng, M., Ruby, R., Huynh-The, T., & Hwang, W. J. (2021). UAV communications for sustainable federated learning. IEEE Transactions on Vehicular Technology, 70(4), 3944–3948.

    Article  Google Scholar 

  26. Do, Q. V., Pham, Q. V., & Hwang, W. J. (2021). Deep reinforcement learning for energy-efficient federated learning in UAV-enabled wireless powered networks. IEEE Communications Letters, 26, 99–103.

    Article  Google Scholar 

  27. Pham, Q. V., Le, M., Huynh-The, T., Han, Z., & Hwang, W. J. (2022). Energy-efficient federated learning over UAV-enabled wireless powered communications. IEEE Transactions on Vehicular Technology, 71, 4977–4990.

    Article  Google Scholar 

  28. Jiao, X., Wang, Y., Guo, S., Zhang, H., Dai, H., Li, M., & Zhou, P. (2023). Deep reinforcement learning empowers wireless powered mobile edge computing: Towards energy-aware online offloading. IEEE Transactions on Communications, 71(9), 5214–5227.

    Article  Google Scholar 

  29. Chen, X., Dai, W., Ni, W., Wang, X., Zhang, S., Xu, S., & Sun, Y. (2023). Augmented deep reinforcement learning for online energy minimization of wireless powered mobile edge computing. IEEE Transactions on Communications, 71(5), 2698–2710.

    Article  Google Scholar 

  30. Hu, X., Wong, K. K., & Yang, K. (2018). Wireless powered cooperation-assisted mobile edge computing. IEEE Transactions on Wireless Communications, 17(4), 2375–2388.

    Article  Google Scholar 

  31. Zhou, F., & Hu, R. Q. (2020). Computation efficiency maximization in wireless-powered mobile edge computing networks. IEEE Transactions on Wireless Communications, 19(5), 3170–3184.

    Article  Google Scholar 

  32. Tirronen, T., Larmo, A., Sachs, J., Lindoff, B., & Wiberg, N. (2012). Reducing energy consumption of lte devices for machine-to-machine communication. In 2012 IEEE Globecom workshops (pp. 1650–1656). IEEE.

  33. Bi, S., & Zhang, Y. J. (2018). Computation rate maximization for wireless powered mobile-edge computing with binary computation offloading. IEEE Transactions on Wireless Communications, 17(6), 4177–4190.

    Article  Google Scholar 

  34. Boshkovska, E., Ng, D. W. K., Zlatanov, N., & Schober, R. (2015). Practical non-linear energy harvesting model and resource allocation for SWIPT systems. IEEE Communications Letters, 19(12), 2082–2085.

    Article  Google Scholar 

  35. Uysal-Biyikoglu, E., Prabhakar, B., & El Gamal, A. (2002). Energy-efficient packet transmission over a wireless link. IEEE/ACM Transactions on Networking, 10(4), 487–499.

    Article  Google Scholar 

  36. Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge University Press.

    Book  Google Scholar 

  37. Boyd, S., Xiao, L., & Mutapcic, A. (2003). Subgradient methods. In Lecture notes of EE392o. Stanford University

  38. LeCun, Y., Bottou, L., Bengio, Y., & Haffner, P. (1998). Gradient-based learning applied to document recognition. Proceedings of the IEEE, 86(11), 2278–2324.

    Article  Google Scholar 

  39. Molchanov, P., Tyree, S., Karras, T., Aila, T., & Kautz, J. (2017). Pruning convolutional neural networks for resource efficient inference. In International conference on learning representations

  40. Kraft, D. (1988). A software package for sequential quadratic programming

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Funding

This work is financially supported by Shenzhen Science and Technology Program under Grant No. JCYJ2021032413240-6016 and Anhui Provincial Natural Science Foundation No.2008085MF208.

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All authors contributed to the study conception and design. YH performed material preparation, modelled the system, developed algorithms and completed simulations. HH reviewed the manuscript and provided suggestions. NY also reviewed the manuscript and provided suggestions. All authors read and approved the final manuscript.

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Correspondence to Hejiao Huang.

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Hu, Y., Huang, H. & Yu, N. Energy-Efficient Wireless Power Transfer for Sustainable Federated Learning. Wireless Pers Commun 134, 831–855 (2024). https://doi.org/10.1007/s11277-024-10929-3

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