7 papers · 1 filter
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…
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…
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…
Quasi-Ergodic Control of Multi-Periodic Autoregressive Processes: Formulation and Examples
Vyacheslav Kungurtsev
This work considers state dynamics driven by Periodic Autoregressive Moving Average noise, and control of the system over time. Such processes appear frequently in applications inv…
Mini-batch stochastic subgradient for functional constrained optimization
Nitesh Kumar Singh, Ion Necoara, Vyacheslav Kungurtsev
In this paper we consider finite sum composite convex optimization problems with many functional constraints. The objective function is expressed as a finite sum of two terms, one…