Jie Lu (陆疌) Associate Professor School of Information Science and Technology ShanghaiTech University Room 1D-201B, SIST Building, No.393 Huaxia Middle Road, Shanghai 201210, China Email: lujie at shanghaitech.edu.cn

Openings: I am currently looking for graduate students and postdocs who are interested in optimization and control. If you'd like to apply, please email me a copy of your CV.

Research Interests

• Distributed optimization
• Optimization theory and algorithms
• Multi-agent coordination and decision making
• Networked dynamical systems

Short Bio

Teaching/Tutorial

• Linear Algebra, Fall 2019, ShanghaiTech University
• Linear Systems II, Spring 2017, Fall 2017, Spring 2020, ShanghaiTech University
• Linear Systems I, Fall 2016, Fall 2017, Fall 2018, Spring 2021, ShanghaiTech University
• Linear and Nonlinear Programming, Fall 2015, ShanghaiTech University
• Nonlinear Systems, Spring 2015, Spring 2016, ShanghaiTech University
• A Tutorial on Distributed Convex Optimization (Part I & II), February 2015, Chalmers University of Technology
• Distributed Optimization, Fall 2013, KTH Royal Institute of Technology (co-lecturer)

Publications

Preprints

• X Song, X. Liu, and J. Lu, "Dynamic Local Laplacian Potential Field for UAV Navigation in Unknown Environments," 2020.

Book Chapters

• J. Lu and C. Y. Tang, "A Gossip Algorithm for Convex Consensus Optimization," in Advances in Systems Theory: Control, Communication Networks, Production Systems, and Rational Behavior, P. T. Kabamba and J. Li, editors, pp. 223–243, WingSpan Press, Livermore, CA, 2009.

Journal Articles

• X. Wu, K. C. Sou, and J. Lu, "A Fenchel Dual Gradient Method Enabling Regularization for Nonsmooth Distributed Optimization over Time-varying Networks," accepted to Optimization Methods and Software, 2023.
• C. Qiu, S. Zhu, Z. Ou, and J. Lu, "A Stochastic Second-Order Proximal Method for Distributed Optimization," accepted to IEEE Control Systems Letters, 2023.
• X. Wu and J. Lu, "A Unifying Approximate Method of Multipliers for Distributed Composite Optimization," accepted to IEEE Transactions on Automatic Control, 2022.
• X. Wu, H. Wang, and J. Lu, "Distributed Optimization with Coupling Constraints," accepted to IEEE Transactions on Automatic Control, 2022. Extended report here.
• K. C. Sou and J. Lu, "Relaxed Connected Dominating Set Problem for Power System Cyber-Physical Security," accepted to IEEE Transactions on Control of Network Systems,2022.
• H. Wei, Z. Qu, X. Wu, H. Wang, and J. Lu, "Decentralized Approximate Newton Methods for Convex Optimization on Networked Systems," IEEE Transactions on Control of Network Systems, vol. 8, no. 3, pp. 1489–1500, 2021.
• X. Wu, Z. Qu, and J. Lu, "A Second-Order Proximal Algorithm for Consensus Optimization," IEEE Transactions on Automatic Control, vol. 66, no. 4, pp. 1864–1871, 2021. Supplementary report here.
• X. Wu and J. Lu, "Distributed Optimization over Time-varying Networks with Minimal Connectivity," IEEE Control Systems Letters, vol. 4, no. 3, pp. 536–541, 2020.
• X. Wu and J. Lu, "Fenchel Dual Gradient Methods for Distributed Convex Optimization over Time-varying Networks," IEEE Transactions on Automatic Control, vol. 64, no. 11, pp. 4629–4636, 2019.
• J. Lu and C. Y. Tang, "A Distributed Algorithm for Solving Positive Definite Linear Equations over Networks with Membership Dynamics," IEEE Transactions on Control of Network Systems, vol. 5, no. 1, pp. 215–227, 2018.
• T. Yang, J. Lu, D. Wu, J. Wu, G. Shi, Z. Meng, and K. H. Johansson, "A Distributed Algorithm for Economic Dispatch over Time-Varying Directed Networks with Delays," IEEE Transactions on Industrial Electronics, vol. 64, no. 6, pp. 5095-5106, 2017.
• J. Lu and M. Johansson, "Convergence Analysis of Approximate Primal Solutions in Dual First-Order Methods," SIAM Journal on Optimization, vol. 26, no. 4, pp. 2430-2467, 2016.
• J. Lu and C. Y. Tang, "Zero-Gradient-Sum Algorithms for Distributed Convex Optimization: The Continuous-Time Case," IEEE Transactions on Automatic Control, vol. 57, no. 9, pp. 2348–2354, 2012.
• J. Lu and C. Y. Tang, "Controlled Hopwise Averaging and Its Convergence Rate," IEEE Transactions on Automatic Control, vol. 57, no. 4, pp. 1005–1012, 2012.
• J. Lu, C. Y. Tang, P. R. Regier, and T. D. Bow, "Gossip Algorithms for Convex Consensus Optimization over Networks," IEEE Transactions on Automatic Control, vol. 56, no. 12, pp. 2917–2923, 2011.

Conference Papers

• L. Gao, X. Song, X. Liu, and J. Lu, "A Learning-Based Method for UAV Navigation in Unknown Environments," accepted to European Control Conference, London, UK, 2022.
• H. Wang, Y. Shen, Z. Wang, D. Li, J. Zhang, K. B. Letaief, and J. Lu, "Decentralized Statistical Inference with Unrolled Graph Neural Networks," Proc. IEEE Conference on Decision and Control (invited), pp. 2634–2640, (Virtual) Austin, TX, USA, 2021.
• X. Wu, H. Wang, and J. Lu, "A Distributed Proximal Primal-Dual Algorithm for Nonsmooth Optimization with Coupling Constraints," Proc. IEEE Conference on Decision and Control (invited), pp. 3657–3662, (Virtual) Jeju Island, Republic of Korea, 2020.
• H. Wang and J. Lu, "An Inexact Fenchel Dual Gradient Algorithm for Distributed Optimization," Proc. IEEE International Conference on Control & Automation (invited), pp. 949–954, (Virtual) Sapporo, Hokkaido, Japan, 2020.
• X. Wu and J. Lu, "Improved Convergence Rates of P-EXTRA for Non-smooth Distributed Optimization," Proc. IEEE International Conference on Control & Automation (invited), pp. 55–60, Edinburgh, Scotland, 2019. (Best Student Paper Finalist)
• Z. Qu, X. Wu, and J. Lu, "Finite-Time-Consensus-Based Methods for Distributed Optimization," Proc. Chinese Control Conference (invited), pp. 5764–5769, Guangzhou, China, 2019.
• X. Wu, K. C. Sou, and J. Lu, "Distributed Fenchel Dual Gradient Methods Enabling a Smoothing Technique for Nonsmooth Optimization," Proc. IEEE Conference on Decision and Control (invited), pp. 1757–1762, Miami, FL, 2018.
• H. Wei, Z. Qu, X. Wu, H. Wang, and J. Lu, "An Approximately-Zero-Gradient-Sum Algorithm for Consensus Optimization," Proc. International Conference on Control, Automation, Robotics and Vision (invited), pp. 826–830, Singapore, Singapore, 2018.
• X. Wu and J. Lu, "Deterministic Coordinate Descent Algorithms for Smooth Convex Optimization," Proc. IEEE Conference on Decision and Control, pp. 709–714, Melbourne, Australia, 2017.
• X. Wu and J. Lu, "Fenchel Dual Gradient Methods for Distributed Convex Optimization over Time-varying Networks," Proc. IEEE Conference on Decision and Control, pp. 2894–2899, Melbourne, Australia, 2017.
• K. C. Sou and J. Lu, "Relaxed Connected Dominating Set Problem with Application to Secure Power Network Design," Proc. American Control Conference, pp. 4657–4662, Seattle, WA, 2017.
• J. Lu, H. R. Feyzmahdavian, and M. Johansson, "Dual Coordinate Descent Algorithms for Multi-agent Optimization," Proc. European Control Conference, pp.715–720, Linz, Austria, 2015.
• J. Lu and M. Johansson, "Convergence Analysis of Primal Solutions in Dual First-Order Methods," Proc. IEEE Conference on Decision and Control (invited), pp. 6861–6867, Florence, Italy, 2013.
• J. Lu and M. Johansson, "A multi-agent projected dual gradient method with primal convergence guarantees," Allerton Conference on Communication, Control, and Computing (invited), pp. 275–281, Monticello, IL, 2013.
• J. Lu and C. Y. Tang, "Convergence Rate of Controlled Hopwise Averaging on Various Graphs," Proc. IEEE Conference on Decision and Control, pp. 4290–4295, Orlando, FL, 2011.
• S. Nikookhoy, J. Lu, and C. Y. Tang, "Distributed Convex Optimization with Identical Constraints," Proc. IEEE Conference on Decision and Control, pp. 2926–2931, Orlando, FL, 2011.
• J. Lu and C. Y. Tang, "Zero-Gradient-Sum Algorithms for Distributed Convex Optimization: The Continuous-Time Case," Proc. American Control Conference, pp. 5474–5479, San Francisco, CA, 2011.
• J. Lu, P. R. Regier, and C. Y. Tang, "Control of Distributed Convex Optimization," Proc. IEEE Conference on Decision and Control, pp. 489–495, Atlanta, GA, 2010.
• J. Lu, C. Y. Tang, P. R. Regier, and T. D. Bow, "A Gossip Algorithm for Convex Consensus Optimization over Networks," Proc. American Control Conference, pp. 301–308, Baltimore, MD, 2010.
• J. Lu and C. Y. Tang, "Distributed Asynchronous Algorithms for Solving Positive Definite Linear Equations over Networks---Part II: Wireless Networks," Proc. IFAC Workshop on Estimation and Control of Networked Systems, pp. 258–263, Venice, Italy, 2009.
• J. Lu and C. Y. Tang, "Distributed Asynchronous Algorithms for Solving Positive Definite Linear Equations over Networks---Part I: Agent Networks," Proc. IFAC Workshop on Estimation and Control of Networked Systems, pp. 252–257, Venice, Italy, 2009.
• C. Y. Tang and J. Lu, "Controlled Hopwise Averaging: Bandwidth/Energy-Efficient Asynchronous Distributed Averaging for Wireless Networks," Proc. American Control Conference, pp. 1561–1568, St. Louis, MO, 2009.

Ph.D. Dissertation

• J. Lu, "Distributed Computation and Optimization over Networks," Ph.D. Dissertation, University of Oklahoma, August 2011.