Faculty Publications - Somayeh Sojoudi

Articles in journals or magazines

  • 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.