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We characterize the maximum controlled invariant (MCI) set for discrete- as well as continuous-time nonlinear dynamical systems as the solution of an infinite-dimensional linear programming problem. For systems with polynomial dynamics and…

Optimization and Control · Mathematics 2013-03-27 Milan Korda , Didier Henrion , Colin N. Jones

A prominent approach to solving combinatorial optimization problems on parallel hardware is Ising machines, i.e., hardware implementations of networks of interacting binary spin variables. Most Ising machines leverage second-order…

Emerging Technologies · Computer Science 2022-12-08 Connor Bybee , Denis Kleyko , Dmitri E. Nikonov , Amir Khosrowshahi , Bruno A. Olshausen , Friedrich T. Sommer

Sampling-based model predictive control (MPC) offers strong performance in nonlinear and contact-rich robotic tasks, yet often suffers from poor exploration due to locally greedy sampling schemes. We propose \emph{Model Tensor Planning}…

Robotics · Computer Science 2025-08-05 An T. Le , Khai Nguyen , Minh Nhat Vu , João Carvalho , Jan Peters

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

It is well known that there have been many numerical algorithms for solving nonsmooth minimax problems, numerical algorithms for nonsmooth minimax problems with joint linear constraints are very rare. This paper aims to discuss optimality…

Optimization and Control · Mathematics 2022-04-21 Yu-Hong Dai , Jiani Wang , Liwei Zhang

Many optimization problems can be cast into the maximum satisfiability (MAX-SAT) form, and many solvers have been developed for tackling such problems. To evaluate a MAX-SAT solver, it is convenient to generate hard MAX-SAT instances with…

Machine Learning · Computer Science 2020-11-03 Yan Ru Pei , Haik Manukian , Massimiliano Di Ventra

We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators,…

Optimization and Control · Mathematics 2013-04-23 Falk M. Hante , Sebastian Sager

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

Systems and Control · Electrical Eng. & Systems 2025-09-04 J. Wehbeh , E. C. Kerrigan

Mobile edge computing (MEC) is a promising paradigm to accommodate the increasingly prosperous delay-sensitive and computation-intensive applications in 5G systems. To achieve optimum computation performance in a dynamic MEC environment,…

Information Theory · Computer Science 2021-10-08 Xian Li , Liang Huang , Hui Wang , Suzhi Bi , Ying-Jun Angela Zhang

The family of Multiscale Hybrid-Mixed (MHM) finite element methods has received considerable attention from the mathematics and engineering community in the last few years. The MHM methods allow solving highly heterogeneous problems on…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-31 Antonio Tadeu A. Gomes , Weslley S. Pereira , Frederic Valentin , Diego Paredes

One of the main purposes of discrete event simulators such as OMNeT++ is to test new algorithms or protocols in realistic environments. These often need to be benchmarked against optimal/theoretical results obtained by running commercial…

Networking and Internet Architecture · Computer Science 2015-09-14 Antonio Virdis

Coupled electronic oscillators have recently been explored as a compact, integrated circuit- and room temperature operation- compatible hardware platform to design Ising machines. However, such implementations presently require the…

Emerging Technologies · Computer Science 2021-08-25 Jaykumar Vaidya , R S Surya Kanthi , Nikhil Shukla

Maximum entropy (Maxent) models are a class of statistical models that use the maximum entropy principle to estimate probability distributions from data. Due to the size of modern data sets, Maxent models need efficient optimization…

Machine Learning · Statistics 2024-03-12 Gabriel P. Langlois , Jatan Buch , Jérôme Darbon

This paper addresses the problem of planning under uncertainty in large Markov Decision Processes (MDPs). Factored MDPs represent a complex state space using state variables and the transition model using a dynamic Bayesian network. This…

Artificial Intelligence · Computer Science 2011-06-10 C. Guestrin , D. Koller , R. Parr , S. Venkataraman

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Combinatorial optimisation is the practice of selecting the best constituent…

Optimization and Control · Mathematics 2024-01-31 Anurag Dutta , K. Lakshmanan , John Harshith , A. Ramamoorthy

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

Incomplete MaxSAT solving aims to quickly find a solution that attempts to minimize the sum of the weights of the unsatisfied soft clauses without providing any optimality guarantees. In this paper, we propose two approximation strategies…

Logic in Computer Science · Computer Science 2018-06-20 Saurabh Joshi , Prateek Kumar , Ruben Martins , Sukrut Rao

Optimal control problems (OCPs) involve finding a control function for a dynamical system such that a cost functional is optimized. It is central to physical systems in both academia and industry. In this paper, we propose a novel…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Mingquan Feng , Zhijie Chen , Yixin Huang , Yizhou Liu , Junchi Yan

In this paper, we propose a state-of-the-art downlink communication transceiver design for transmissive reconfigurable metasurface (RMS)-enabled simultaneous wireless information and power transfer (SWIPT) networks. Specifically, a feed…

Signal Processing · Electrical Eng. & Systems 2022-12-13 Zhendong Li , Wen Chen , Ziheng Zhang , Qingqing Wu , Huanqing Cao , Jun Li

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone