Dynamical Systems
This mathematical framework studies the evolution of systems over time, emphasizing interactions and changes. Utilizing differential equations, probability and chaos theory, researchers aim to uncover underlying principles governing phenomena, allowing for control and optimization of dynamic systems.
Graph isomorphism: Physical resources, optimization models, and algebraic characterizations
L. Mancinska, D. Roberson, A. Varvitsiotis, Mathematical Programming Series A, Mathematical Programming Series A, Mathematical Programming Series A, https://arxiv.org/abs/2004.10893
Limited-Trust in Diffusion of Competing Alternatives Over Social Networks
V Leon, SR Etesami, R Nagi, IEEE Transactions on Network Science and Engineering, Volume 11, No. 1, 1320-1336 , https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=10285070
Multiplicative updates for symmetric-cone factorizations
Y.S. Soh, A. Varvitsiotis, Mathematical Programming Series A, https://arxiv.org/abs/2108.00740
Cloud-native Workflow Scheduling using a Hybrid Priority Rule and Dynamic Task Parallelism
J Shin, D Arroyo, A Tantawi, C Wang, A Youssef, R Nagi , Proceedings of the 13th Symposium on Cloud Computing, 72-77, https://dl.acm.org/doi/pdf/10.1145/3542929.3563495
Analysis of optimization algorithms via sum-of-squares
S. S.Y. Tan , V. Y.F. Tan, A Varvitsiotis, Journal of Optimization Theory and Applications, https://link.springer.com/article/10.1007/s10957-021-01869-0?fbclid=IwAR3ODcpJfH4ByBOTmartQi_Ew_4zLEL4mTsuE8XFjrTukSRi1KHc2nA8pkE
A Non-commutative Extension of Lee-Seung’s Algorithm for Positive Semidefinite Factorizations
Y.S. Soh and A. Varvitsiotis, NeurIPS 2021, https://arxiv.org/abs/2106.00293