S. Fattahi and S. Sojoudi, "Exact Guarantees on the Absence of Spurious Local Minima for Non-negative Rank-1 Robust Principal Component Analysis.," Journal of Machine Learning Research, vol. 21, no. 59, pp. 1--51, 2020.
S. Fattahi and S. Sojoudi, "Graphical lasso and thresholding: Equivalence and closed-form solutions," The Journal of Machine Learning Research, vol. 20, no. 1, pp. 364--407, 2019.
S. Sojoudi, S. Fattahi, and J. Lavaei, "Convexification of generalized network flow problem," Mathematical Programming, 2018.
R. Madani, S. Sojoudi, G. Fazelnia, and J. Lavaei, "Finding low-rank solutions of sparse linear matrix inequalities using convex optimization," SIAM Journal on Optimization, vol. 27, no. 2, pp. 725--758, 2017.
S. Sojoudi, "Equivalence of graphical lasso and thresholding for sparse graphs," Journal of Machine Learning Research, vol. 17, no. 115, pp. 1--21, 2016.
R. Madani, S. Sojoudi, and J. Lavaei, "Convex relaxation for optimal power flow problem: Mesh networks," IEEE Transactions on Power Systems, vol. 30, no. 1, pp. 199--211, 2015.
R. K. Hiess, R. Alter, S. Sojoudi, B. Ardekani, R. Kuzniecky, and H. Pardoe, "Corpus callosum area and brain volume in autism spectrum disorder: quantitative analysis of structural MRI from the ABIDE database," Journal of autism and developmental disorders, vol. 45, no. 10, pp. 3107--3114, 2015.
S. Sojoudi and J. Lavaei, "Exactness of semidefinite relaxations for nonlinear optimization problems with underlying graph structure," SIAM Journal on Optimization, vol. 24, no. 4, pp. 1746--1778, 2014.
S. Sojoudi, S. H. Low, and J. C. Doyle, "Buffering dynamics and stability of internet congestion controllers," IEEE/ACM Transactions on Networking (TON), vol. 22, no. 6, pp. 1808--1818, 2014.
N. Li, J. Cruz, C. S. Chien, S. Sojoudi, B. Recht, D. Stone, M. Csete, D. Bahmiller, and J. C. Doyle, "Robust efficiency and actuator saturation explain healthy heart rate control and variability," Proceedings of the National Academy of Sciences, vol. 111, no. 33, pp. E3476--E3485, 2014.
J. Lavaei, S. Sojoudi, A. G. Aghdam, and J. Lavaei, "Pole assignment with improved control performance by means of periodic feedback," IEEE Transactions on Automatic Control, vol. 55, no. 1, pp. 248--252, 2010.
J. Lavaei and S. Sojoudi, "Time complexity of decentralized fixed-mode verification," IEEE Transactions on Automatic Control, vol. 55, no. 4, pp. 971--976, 2010.
S. Sojoudi and A. G. Aghdam, "Interconnection-based performance analysis for a class of decentralized controllers," Automatica, vol. 46, no. 5, pp. 796--803, 2010.
S. Sojoudi and A. G. Aghdam, "Overlapping control systems with optimal information exchange," Automatica, vol. 45, no. 5, pp. 1176--1181, 2009.
S. Sojoudi, J. Lavaei, and A. G. Aghdam, "Robust controllability and observability degrees of polynomially uncertain systems," Automatica, vol. 45, no. 11, pp. 2640--2645, 2009.
S. Sojoudi, J. Lavaei, and A. G. Aghdam, "Robust stabilizability verification of polynomially uncertain LTI systems," IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1721--1726, 2007.
Articles in conference proceedings
B. Anderson, Z. Ma, J. Li, and S. Sojoudi, "Tightened Convex Relaxations for Neural Network Robustness Certification," in IEEE Conference on Decision and Control, 2020.
E. Glista and S. Sojoudi, "Convex model to evaluate worst-case performance of local search in the Optimal Power Flow problem," in IEEE Conference on Decision and Control, 2020.
S. Sojoudi, "Graphical lasso and thresholding: Conditions for equivalence," in Decision and Control (CDC), 2016 IEEE 55th Conference on, 2016, pp. 7042--7048.
R. Madani, G. Fazelnia, S. Sojoudi, and J. Lavaei, "Low-rank solutions of matrix inequalities with applications to polynomial optimization and matrix completion problems," in Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on, 2014, pp. 4328--4335.
S. Sojoudi and J. Doyle, "Study of the brain functional network using synthetic data," in Communication, Control, and Computing (Allerton), 2014 52nd Annual Allerton Conference on, 2014, pp. 350--357.
S. Sojoudi, R. Madani, and J. Lavaei, "Low-rank solution of convex relaxation for optimal power flow problem," in Smart Grid Communications (SmartGridComm), 2013 IEEE International Conference on, 2013, pp. 636--641.
S. Sojoudi and J. Lavaei, "Convexification of optimal power flow problem by means of phase shifters," in Smart Grid Communications (SmartGridComm), 2013 IEEE International Conference on, 2013, pp. 756--761.
S. Sojoudi and J. Lavaei, "Study of nonlinear power optimization problems using algebraic graph theory," in Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), 2013 IEEE 5th International Workshop on, 2013, pp. 424--427.
S. Sojoudi and J. Lavaei, "Convexification of generalized network flow problem with application to power systems," in Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, 2013, pp. 7552--7559.
S. Sojoudi and J. Lavaei, "On the exactness of semidefinite relaxation for nonlinear optimization over graphs: Part I," in Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, 2013, pp. 1043--1050.
J. Lavaei and S. Sojoudi, "Competitive equilibria in electricity markets with nonlinearities," in American Control Conference (ACC), 2012, 2012, pp. 3081--3088.
S. Sojoudi and J. Lavaei, "Physics of power networks makes hard optimization problems easy to solve," in Power and Energy Society General Meeting, 2012 IEEE, 2012, pp. 1--8.
S. Sojoudi, J. Lavaei, and R. M. Murray, "Fault-tolerant controller design with applications in power systems and synthetic biology," in American Control Conference (ACC), 2011, 2011, pp. 4135--4142.
S. Sojoudi and S. H. Low, "Optimal charging of plug-in hybrid electric vehicles in smart grids," in Power and Energy Society General Meeting, 2011 IEEE, 2011, pp. 1--6.
S. Sojoudi, S. H. Low, and J. C. Doyle, "Effect of buffers on stability of Internet congestion controllers," in INFOCOM, 2011 Proceedings IEEE, 2011, pp. 471--475.
J. Lavaei, S. Sojoudi, and R. M. Murray, "Simple delay-based implementation of continuous-time controllers," in American Control Conference (ACC), 2010, 2010, pp. 5781--5788.
J. Lavaei, S. Sojoudi, and R. M. Murray, "Synthesis of embedded control systems with high sampling frequencies," in Decision and Control (CDC), 2010 49th IEEE Conference on, 2010, pp. 7606--7612.
S. Sojoudi, J. Lavaei, and A. G. Aghdam, "Controllability and observability of uncertain systems: A robust measure," in Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on, 2009, pp. 4180--4186.
J. Lavaei and S. Sojoudi, "Complexity of checking the existence of a stabilizing decentralized controller," in American Control Conference, 2009. ACC'09., 2009, pp. 1827--1832.
S. Sojoudi and A. G. Aghdam, "Performance analysis for a class of decentralized control systems," in American Control Conference, 2008, 2008, pp. 710--716.
J. Lavaei, S. Sojoudi, A. G. Aghdam, and J. Lavaei, "Stability criterion for general proper systems with constrained control structure," in American Control Conference, 2007. ACC'07, 2007, pp. 1648--1653.
J. Lavaei, S. Sojoudi, and A. G. Aghdam, "Rational optimization using sum-of-squares techniques," in Decision and Control, 2007 46th IEEE Conference on, 2007, pp. 4723--4730.
S. Sojoudi and A. G. Aghdam, "Characterizing all classes of LTI stabilizing structurally constrained controllers by means of combinatorics," in Decision and Control, 2007 46th IEEE Conference on, 2007, pp. 4415--4420.
S. Sojoudi, J. Lavaei, and A. G. Aghdam, "Optimal information flow structure for control of interconnected systems," in American Control Conference, 2007. ACC'07, 2007, pp. 1508--1513.