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We introduce the State Classification Problem (SCP) for hybrid systems, and present Neural State Classification (NSC) as an efficient solution technique. SCP generalizes the model checking problem as it entails classifying each state $s$ of…

机器学习 · 计算机科学 2019-08-08 Dung Phan , Nicola Paoletti , Timothy Zhang , Radu Grosu , Scott A. Smolka , Scott D. Stoller

Solving non-convex minimization problems using multi-particle metaheuristic derivative-free optimization methods is still an active area of research. Popular methods are Particle Swarm Optimization (PSO) methods, that iteratively update a…

最优化与控制 · 数学 2025-08-21 Michael Herty , Sara Veneruso

Partial set cover problem and set multi-cover problem are two generalizations of set cover problem. In this paper, we consider the partial set multi-cover problem which is a combination of them: given an element set $E$, a collection of…

离散数学 · 计算机科学 2019-07-05 Yishuo Shi , Yingli Ran , Zhao Zhang , James Willson , Guangmo Tong , Ding-Zhu Du

Incorporating safety is an essential prerequisite for broadening the practical applications of reinforcement learning in real-world scenarios. To tackle this challenge, Constrained Markov Decision Processes (CMDPs) are leveraged, which…

机器学习 · 计算机科学 2023-11-03 Jaafar Mhamed , Shangding Gu

Synthetic Benchmark Problems (SBPs) are commonly used to evaluate the performance of metaheuristic algorithms. However, these SBPs often contain various unrealistic properties, potentially leading to underestimation or overestimation of…

神经与进化计算 · 计算机科学 2025-10-30 Kaichen Ouyang , Yezhi Xia

We study conditional risk minimization (CRM), i.e. the problem of learning a hypothesis of minimal risk for prediction at the next step of sequentially arriving dependent data. Despite it being a fundamental problem, successful learning in…

机器学习 · 统计学 2018-11-06 Alexander Zimin , Christoph Lampert

A variant of the well-known Set Covering Problem is studied in this paper, where subsets of a collection have to be selected, and pairwise conflicts among subsets of items exist. The selection of each subset has a cost, and the inclusion of…

最优化与控制 · 数学 2025-04-22 Roberto Montemanni , Derek H. Smith

Particle swarm optimization (PSO) is a search algorithm based on stochastic and population-based adaptive optimization. In this paper, a pathfinding strategy is proposed to improve the efficiency of path planning for a broad range of…

神经与进化计算 · 计算机科学 2022-06-24 David , Budi Adiperdana

Moment dynamics in stochastic chemical kinetics often involve an infinite chain of coupled equations, where lower-order moments depend on higher-order ones, making them analytically intractable. Moment bounding via semidefinite programming…

最优化与控制 · 数学 2026-04-07 Tomoki Sadatoshi , Antonis Papachristodoulou , Yutaka Hori

Often times, individuals working together as a team can solve hard problems beyond the capability of any individual in the team. Cooperative optimization is a newly proposed general method for attacking hard optimization problems inspired…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Xiaofei Huang

The nature has inspired several metaheuristics, outstanding among these is Ant Colony Optimization (ACO), which have proved to be very effective and efficient in problems of high complexity (NP-hard) in combinatorial optimization. This…

人工智能 · 计算机科学 2013-09-23 Edson Flórez , Wilfredo Gómez , Lola Bautista

Particle Swarm Optimization (PSO) is a metaheuristic global optimization paradigm that has gained prominence in the last two decades due to its ease of application in unsupervised, complex multidimensional problems which cannot be solved…

神经与进化计算 · 计算机科学 2019-01-07 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

In this paper, we study the numerical method for stochastic optimal control problems (SOCPs). By reducing the optimal control problem to the discrete case, we derive a discrete stochastic maximum principle (SMP). With the help of this SMP,…

数值分析 · 数学 2020-07-14 Mingshang Hu , Lianzi Jiang

Combinatorial optimization is a fundamental problem found in many fields. In many real life situations, the constraints and the objective function forming the optimization problem are naturally distributed amongst different sites in some…

密码学与安全 · 计算机科学 2018-03-16 Yuan Hong , Jaideep Vaidya , Haibing Lu

A number of problems in relational Artificial Intelligence can be viewed as Stochastic Constraint Optimization Problems (SCOPs). These are constraint optimization problems that involve objectives or constraints with a stochastic component.…

人工智能 · 计算机科学 2018-07-04 Anna L. D. Latour , Behrouz Babaki , Siegfried Nijssen

Heuristic algorithms such as simulated annealing, Concorde, and METIS are effective and widely used approaches to find solutions to combinatorial optimization problems. However, they are limited by the high sample complexity required to…

机器学习 · 计算机科学 2019-06-18 Qingpeng Cai , Will Hang , Azalia Mirhoseini , George Tucker , Jingtao Wang , Wei Wei

Finding optimal pathways in chemical reaction networks is essential for elucidating and designing chemical processes, with significant applications such as synthesis planning and metabolic pathway analysis. Such a chemical pathway-finding…

量子物理 · 物理学 2024-01-31 Yuta Mizuno , Tamiki Komatsuzaki

Ant Colony Optimization (ACO) is a very popular metaheuristic for solving computationally hard combinatorial optimization problems. Runtime analysis of ACO with respect to various pseudo-boolean functions and different graph based…

神经与进化计算 · 计算机科学 2013-12-31 Ankit Pat , Ashish Ranjan Hota

A quadratic assignment problem (QAP) is a combinatorial optimization problem that belongs to the class of NP-hard ones. So, it is difficult to solve in the polynomial time even for small instances. Research on the QAP has thus focused on…

神经与进化计算 · 计算机科学 2020-07-30 Zohreh Raziei , Reza Tavakkoli-Moghaddam , Siavash Tabrizian