Books
- Necdet S Aybat, 2016, Handbook of Robust Low Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing, CRC Press, Taylor and Francis Group
Journal Articles
- Omar Sleem, Constantino M Lagoa and Necdet S Aybat, 2024, "Lp Quasi-norm Minimization: Algorithm and Applications", EURASIP Journal on Advances in Signal Processing, 22
- Diyako Ghaderiyan, Necdet S Aybat, A. Pedro Aguiar and Fernando Lobo Pereira, 2024, "A Fast Row-Stochastic Decentralized Method for Distributed Optimization Over Directed Graphs", IEEE Transactions on Automatic Control, 69, (1), pp. 275-289
- Erfan Yazdandoost and Necdet S Aybat, 2022, "A Decentralized Primal-Dual Method for Constrained Minimization of a Strongly Convex Function", IEEE Transaction on Automatic Control, 67, (11), pp. 5682-5697
- Necdet S Aybat, Vinayak Shanbhag and Hesam Ahmadi, 2022, "On the Analysis of Inexact Augmented Lagrangian Schemes for Misspecified Conic Convex Programs", IEEE Transactions on Automatic Control, 67, (8), pp. 3981-3996
- Bugra Can, Mert Gurbuzbalaban, Necdet S Aybat, Saeed Soori and Maryam Mehri Dehnavi, 2022, "Randomized Gossiping with Effective Resistance Weights: Performance Guarantees and Applications", IEEE Transactions on Control of Network Systems, 9, (2), pp. 524-536
- Erfan Yazdandoost and Necdet S Aybat, 2021, "A Primal-Dual Algorithm with Line Search for General Convex-Concave Saddle Point Problems", SIAM Journal on Optimization, 31, (2), pp. 1299-1329
- Sam Davanloo Tajbakhsh, Necdet S Aybat and Enrique Del Castillo, 2020, "On the Theoretical Guarantees for Parameter Estimation of Gaussian Random Field Models: A Sparse Precision Matrix Approach", Journal of Machine Learning Research, 21, (217), pp. 1-41
- Necdet S Aybat, Alireza Fallah, Mert Gurbuzbalaban and Asuman Ozdaglar, 2020, "Robust Accelerated Gradient Methods for Smooth Strongly Convex Functions", SIAM Journal on Optimization, 30, (1), pp. 717-751
- Necdet S Aybat and Erfan Yazdandoost, 2019, "A Distributed ADMM-like Method for Resource Sharing over Time-varying Directed Networks", SIAM Journal on Optimization, 29, (4), pp. 3036–3068
- Jingyao Wang, Mahmoud Ashour, Constantino M Lagoa, Necdet S Aybat and Hao Che, 2019, "A Distributed Traffic Allocation Algorithm for Non-concave Utility Maximization in Connectionless Networks", Automatica, 109
- Mahmoud Ashour, Jingyao Wang, Necdet S Aybat, Constantino M Lagoa and Hao Che, 2019, "End-to-End Distributed Flow Control for Networks with Nonconcave Utilities", IEEE Transactions on Network Science and Engineering, 6, (3), pp. 303 - 313
- Shiqian Ma and Necdet S Aybat, 2018, "Efficient Optimization Algorithms for Robust Principal Component Analysis and Its Variants", Proceedings of the IEEE, 106, (8), pp. 1411-1426
- Sam Tajbakhsh, Necdet S Aybat and Enrique Del Castillo, 2018, "Generalized Sparse Precision Matrix Selection for Fitting Multivariate Gaussian Random Fields to Large Data Sets", Statistica Sinica, 28, (2), pp. 22
- Necdet S Aybat, Zi Wang, Tianyi Lin and Shiqian Ma, 2018, "Distributed Linearized Alternating Direction Method of Multipliers for Composite Convex Consensus Optimization", IEEE Transaction on Automatic Control, 63, (1), pp. 5-20
- Ashkan Jasour, Necdet S Aybat and Constantino M Lagoa, 2015, "Semidefinite Programming For Chance Constrained Optimization Over Semialgebraic Sets", SIAM Journal on Optimization, 25, (3), pp. 1411-1440
- Necdet S Aybat and Garud Iyengar, 2015, "An Alternating Direction Method with Increasing Penalty for Stable Principal Component Pursuit", Computational Optimization and Applications, 61, (3), pp. 635-668
- Necdet S Aybat, Donald Goldfarb and Shiqian Ma, 2014, "Efficient Algorithms for Robust and Stable Principal Component Pursuit Problems", Computational Optimization and Applications, 58, (1), pp. 1-29
- Necdet S Aybat and Garud Iyengar, 2014, "A Unified Approach for Minimizing Composite Norms", Mathematical Programming, Series A, 144, (1), pp. 181-226
- Necdet S Aybat and Garud Iyengar, 2012, "A First-Order Augmented Lagrangian Method for Compressed Sensing", SIAM Journal on Optimization, 22, (2), pp. 429-459
- Necdet S Aybat and Garud Iyengar, 2011, "A First-Order Smoothed Penalty Method for Compressed Sensing", SIAM Journal on Optimization, 21, (1), pp. 287-313
- Xuan Zhang, Necdet S Aybat and Mert Gurbuzbalaban, , "Robust Accelerated Primal-Dual Methods for Computing Saddle Points", SIAM Journal on Optimization
Conference Proceedings
- Xuan Zhang, Gabe Mancino-Ball, Necdet S Aybat and Yangyang Xu, 2024, "Jointly Improving the Sample and Communication Complexities for Decentralized Stochastic Nonconvex Strongly-Concave Minimax Problems", Proceedings of the AAAI Conference on Artificial Intelligence, 38
- Erfan Yazdandoost, Afrooz Jalilzadeh and Necdet S Aybat, 2023, "Randomized Primal-Dual Methods with Adaptive Step Sizes", Proceedings of The 26th International Conference on Artificial Intelligence and Statistics, PMLR, PMLR, 206, pp. 11185--11212
- Xuan Zhang, Necdet S Aybat and Mert Gurbuzbalaban, 2022, "SAPD+: An Accelerated Stochastic Method for Nonconvex-Concave Minimax Problems", Advances in Neural Information Processing Systems (NeurIPS), Curran Associates, Inc, 35, pp. 21668-21681
- Mahmoud Ashour, Constantino M Lagoa and Necdet S Aybat, 2020, "Lp Quasi-norm Minimization", Proceedings of the 53rd Asilomar Conference on Signals, Systems and Computers, IEEE, pp. 726-730
- Necdet S Aybat, Alireza Fallah, Mert Gurbuzbalaban and Asuman Ozdaglar, 2019, "A Universally Optimal Multistage Accelerated Stochastic Gradient Method", Advances in Neural Information Processing Systems (NeurIPS), Curran Associates, Inc., 32, pp. 8523-8534
- Erfan Yazdandoost and Necdet S Aybat, 2017, "Multi-agent constrained optimization of a strongly convex function", Proceedings of the 2017 5th IEEE Global Conference on Signal and Information Processing (GlobalSIP), IEEE
- Necdet S Aybat and Mert Gurbuzbalaban, 2017, "Decentralized Computation of Effective Resistances and Acceleration of Consensus Algorithms", Proceedings of the 2017 5th IEEE Global Conference on Signal and Information Processing (GlobalSIP), IEEE
- Erfan Yazdandoost and Necdet S Aybat, 2017, "Multi-agent constrained optimization of a strongly convex function over time-varying directed networks", Proceedings of the 2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), IEEE, pp. 518-525
- Mahmoud Ashour, Jingyao Wang, Constantino M Lagoa, Necdet S Aybat and Hao Che, 2017, "Non-concave network utility maximization: A distributed optimization approach", IEEE INFOCOM 2017 - the 36th Annual IEEE International Conference on Computer Communications, IEEE, pp. 1-9
- Jingyao Wang, Mahmoud Ashour, Constantino M Lagoa, Necdet S Aybat and Hao Che, 2017, "Non-concave network utility maximization in connectionless networks: A fully distributed traffic allocation algorithm", The Proceedings of 2017 American Control Conference, IEEE, pp. 3980-3985
- Necdet S Aybat and Erfan Yazdandoost, 2017, "Distributed primal-dual method for multi-agent sharing problem with conic constraints", Proceedings of the 50th Asilomar Conference on Signals, Systems and Computers, IEEE, pp. 777-782
- Necdet S Aybat and Erfan Yazdandoost, 2016, "A Primal-Dual Method For Conic Constrained Distributed Optimization Problems", Advances in Neural Information Processing Systems 29 (NIPS), Curran Associates, Inc., pp. 5049-5057
- Hesam Ahmadi, Necdet S Aybat and Vinayak Shanbhag, 2016, "On the Rate Analysis of Inexact Augmented Lagrangian Schemes for Convex Optimization Problems with Misspecified Constraints", Proceedings of American Control Conference (ACC), 2016, pp. 4841-4846
- Necdet S Aybat, Sahar Zarmehri and Soundar R Tirupatikumara, 2015, "An ADMM Algorithm for Clustering Partially Observed Networks", Proceedings of the 2015 SIAM International Conference on Data Mining, pp. 460-468
- Necdet S Aybat, Zi Wang and Garud Iyengar, 2015, "An Asynchronous Distributed Proximal Gradient Method for Composite Convex Optimization", Journal of Machine Learning Research (JMLR): W&CP -- Proceedings of the 32nd International Conference on Machine Learning, 37, pp. 2454-2462
- Necdet S Aybat and Zi Wang, 2014, "A Parallel Method for Large Scale Convex Regression Problems", Proceedings of the 53rd IEEE Conference on Decision and Control (CDC), pp. 5710-5717
- Necdet S Aybat, Sinem Daysal, Burcu Tan and Fulden Topaloglu, 2004, "Decision Making Tests with Different Variations of the Stock Management Game", Proceedings of the 22nd International Systems Dynamics Conference, Oxford