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In the last few years, the formulation of real-world optimization problems and their efficient solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In spite of decades of historical advancements on the…

Many engineering problems involve the optimization of computationally expensive models for which derivative information is not readily available. The Bayesian optimization (BO) framework is a particularly promising approach for solving…

Optimization and Control · Mathematics 2022-02-10 Joel A. Paulson , Congwen Lu

Mixed-integer nonlinear optimization encompasses a broad class of problems that present both theoretical and computational challenges. We propose a new type of method to solve these problems based on a branch-and-bound algorithm with convex…

Optimization and Control · Mathematics 2024-07-19 Deborah Hendrych , Hannah Troppens , Mathieu Besançon , Sebastian Pokutta

Robust optimization aims to find optimum points from the collection of points that are feasible for every possible scenario of a given uncertain set. An optimum solution to a robust optimization problem is commonly found by the min-max…

Optimization and Control · Mathematics 2024-10-07 Nand Kishor , Debdas Ghosh , Xiaopeng Zhao

Hard combinatorial optimization problems, often mapped to Ising models, promise potential solutions with quantum advantage but are constrained by limited qubit counts in near-term devices. We present an innovative quantum-inspired framework…

Quantum Physics · Physics 2024-12-25 Co Tran , Quoc-Bao Tran , Hy Truong Son , Thang N Dinh

Constrained optimization problems are ubiquitous in science and industry. Quantum algorithms have shown promise in solving optimization problems, yet none of the current algorithms can effectively handle arbitrary constraints. We introduce…

In real-time systems optimization, designers often face a challenging problem posed by the non-convex and non-continuous schedulability conditions, which may even lack an analytical form to understand their properties. To tackle this…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Sen Wang , Dong Li , Shao-Yu Huang , Xuanliang Deng , Ashrarul H. Sifat , Changhee Jung , Ryan Williams , Haibo Zeng

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

Sparse and event-driven spiking neural network (SNN) algorithms are the ideal candidate solution for energy-efficient edge computing. Yet, with the growing complexity of SNN algorithms, it isn't easy to properly benchmark and optimize their…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Guangzhi Tang , Ali Safa , Kevin Shidqi , Paul Detterer , Stefano Traferro , Mario Konijnenburg , Manolis Sifalakis , Gert-Jan van Schaik , Amirreza Yousefzadeh

In this paper, we propose a learning-to-optimize (L2O) framework to accelerate solving parametric mixed-integer quadratic programming (MIQP) problems, with a particular focus on mixed-integer model predictive control (MI-MPC) applications.…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Viet-Anh Le , Mu Xie , Rahul Mangharam

Model-based reinforcement learning (MBRL) algorithms can attain significant sample efficiency but require an appropriate network structure to represent system dynamics. Current approaches include white-box modeling using analytic…

Machine Learning · Computer Science 2021-04-30 Junhyeok Ahn , Luis Sentis

Although metaheuristics have been widely recognized as efficient techniques to solve real-world optimization problems, implementing them from scratch remains difficult for domain-specific experts without programming skills. In this…

Neural and Evolutionary Computing · Computer Science 2024-03-01 Aurora Ramírez , José Raúl Romero , Carlos García-Martínez , Sebastián Ventura

Because the choice and tuning of the optimizer affects the speed, and ultimately the performance of deep learning, there is significant past and recent research in this area. Yet, perhaps surprisingly, there is no generally agreed-upon…

Machine Learning · Computer Science 2019-03-14 Frank Schneider , Lukas Balles , Philipp Hennig

Deep neural networks (DNNs) have demonstrated promising results in various complex tasks. However, current DNNs encounter challenges with over-parameterization, especially when there is limited training data available. To enhance the…

Machine Learning · Computer Science 2023-08-22 Xingyu Li , Bo Tang

Graph neural networks (GNN) analysis engines are vital for real-world problems that use large graph models. Challenges for a GNN hardware platform include the ability to (a) host a variety of GNNs, (b) handle high sparsity in input vertex…

Hardware Architecture · Computer Science 2021-08-10 Sudipta Mondal , Susmita Dey Manasi , Kishor Kunal , S. Ramprasath , Sachin S. Sapatnekar

Most metaheuristic algorithms rely on a few searched solutions to guide later searches during the convergence process for a simple reason: the limited computing resource of a computer makes it impossible to retain all the searched…

Artificial Intelligence · Computer Science 2023-06-02 Chun-Wei Tsai , Yi-Cheng Yang , Tzu-Chieh Tang , Che-Wei Hsu

The core challenge of high-dimensional and expensive black-box optimization (BBO) is how to obtain better performance faster with little function evaluation cost. The essence of the problem is how to design an efficient optimization…

Machine Learning · Computer Science 2023-07-26 Xiaobin Li , Kai Wu , Xiaoyu Zhang , Handing Wang , Jing Liu

Several types of numerical and combinatorial optimization algorithms have been used as useful tools to minimize functional forms. Generally, when those forms are non-linear or occur in problems without a specific optimization method,…

Chemical Physics · Physics 2007-05-23 Luiz Fernando Roncaratti , Ricardo Gargano , Geraldo Magela e Silva

The Quantum Approximate Optimization Algorithm (QAOA) is an algorithmic framework for finding approximate solutions to combinatorial optimization problems, derived from an approximation to the Quantum Adiabatic Algorithm (QAA). In solving…

Quantum Physics · Physics 2020-02-05 Yue Ruan , Samuel Marsh , Xilin Xue , Xi Li , Zhihao Liu , Jingbo Wang

Many real-world optimization problems consist of multiple tightly coupled subproblems whose solutions must be coordinated to achieve high overall performance. However, existing large language model driven automated heuristic design…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Thomas Bömer , Bastian Amberg , Max Disselnmeyer , Anne Meyer