7 citations · 16 across the 13 of their papers we have counts for
14 papers
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…
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…
Machine Learning Algorithms for Improving Black Box Optimization Solvers
Morteza Kimiaei, Vyacheslav Kungurtsev
Black-box optimization (BBO) addresses problems where objectives are accessible only through costly queries without gradients or explicit structure. Classical derivative-free metho…
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…
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…
Binarizing Physics-Inspired GNNs for Combinatorial Optimization
Martin Krutský, Gustav Šír, Vyacheslav Kungurtsev +1
Physics-inspired graph neural networks (PI-GNNs) have been utilized as an efficient unsupervised framework for relaxing combinatorial optimization problems encoded through a specif…
Undecidable problems associated with variational quantum algorithms
Georgios Korpas, Vyacheslav Kungurtsev, Jakub Mareček
Variational Quantum Algorithms (VQAs), such as the Variational Quantum Eigensolver (VQE) and the Quantum Approximate Optimization Algorithm (QAOA), are widely studied as candidates…
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…
The stochastic Ravine accelerated gradient method with general extrapolation coefficients
Hedy Attouch, Jalal Fadili, Vyacheslav Kungurtsev
In a real Hilbert space domain setting, we study the convergence properties of the stochastic Ravine accelerated gradient method for convex differentiable optimization. We consider…
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…
Parallel variational quantum algorithms with gradient-informed restart to speed up optimisation in the presence of barren plateaus
Daniel Mastropietro, Georgios Korpas, Vyacheslav Kungurtsev +1
Inspired by the Fleming-Viot stochastic process, we propose a parallel implementation of variational quantum algorithms with the aim of reducing the time spent by the algorithm in…
Numerical Bifurcation Analysis of Conformal Formulations of the Einstein Constraints
M. Holst, V. Kungurtsev
The Einstein constraint equations have been the subject of study for more than fifty years. The introduction of the conformal method in the 1970's as a parameterization of initial…