12 papers
Towards Real Time Control of Water Engineering with Nonlinear Hyperbolic Partial Differential Equations
Fabio DiFonzo, Michael Holst, Morteza Kimiaei +2
This paper examines aspirational requirements for software addressing mixed-integer optimization problems constrained by the nonlinear Shallow Water partial differential equations…
Federated Sinkhorn
Jeremy Kulcsar, Vyacheslav Kungurtsev, Georgios Korpas +2
We study distributed Sinkhorn iterations for entropy-regularized optimal transport when the Gibbs kernel operator is row-partitioned across c workers and cannot be centralized. We…
An efficient penalty decomposition algorithm for minimization over sparse symmetric sets
Ahmad Mousavi, Morteza Kimiaei, Saman Babaie-Kafaki +1
This paper proposes an improved quasi-Newton penalty decomposition algorithm for the minimization of continuously differentiable functions, possibly nonconvex, over sparse symmetri…
A Three-Tier Time-Scale Architecture for Controlling Complex Nonlinear Systems
Vyacheslav Kungurtsev
This letter proposes a three-tier computational architecture for the real-time control of nonlinear complex systems, such as time-dependent PDEs. There is an important class of suc…
Survey of Mathematical Models of and Numerical Methods for Fluid Dynamics Water Engineering
Anshu Kumar, Kemi Olimba, Vyacheslav Kungurtsev +1
Computational fluid dynamics (CFD) has become a cornerstone of modern water engineering, providing quantitative tools for the analysis, prediction, and management of complex hydrau…
Machine Learning Algorithms for Improving Exact Classical Solvers in Mixed Integer Continuous Optimization
Morteza Kimiaei, Vyacheslav Kungurtsev, Brian Olimba
Integer and mixed-integer nonlinear programming (INLP, MINLP) are central to logistics, energy, and scheduling, but remain computationally challenging. This survey examines how mac…