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This paper provides a theoretical and numerical investigation of a penalty decomposition scheme for the solution of optimization problems with geometric constraints. In particular, we consider some situations where parts of the constraints…

最优化与控制 · 数学 2023-03-23 Matteo Lapucci , Christian Kanzow

The main objective of this paper is to solve the optimization problem that is associated with the classification of DNA samples in PCR plates for Sanger sequencing. To achieve this goal, we design an integer linear programming model. Given…

数据结构与算法 · 计算机科学 2024-01-23 Luisa Carpente , Ana Cerdeira-Pena , Silvia Lorenzo-Freire , Ángeles S. Places

Recent literature has advocated the use of randomized methods for accelerating the solution of various matrix problems arising throughout data science and computational science. One popular strategy for leveraging randomization is to use it…

数值分析 · 数学 2024-09-27 Boris Shustin , Haim Avron

We describe a hybrid procedure for solving the traveling salesman problem (TSP) to provable optimality. We first sparsify the instance, and then use a hybrid algorithm that combines a branch-and-cut TSP solver with a Hamiltonian cycle…

数据结构与算法 · 计算机科学 2017-05-22 Vladimir Ejov , Michael Haythorpe , Serguei Rossomakhine

We consider optimal planning in a large-scale system formalised as a hierarchical finite state machine (HFSM). A planning algorithm is proposed computing an optimal plan between any two states in the HFSM, consisting of two steps: A…

系统与控制 · 电气工程与系统科学 2026-05-06 Elis Stefansson , Karl H. Johansson

This paper proposes a novel algorithm to determine the optimal placement of redundant inertial sensors such as accelerometers and gyroscopes (gyros) for increasing the sensing accuracy. In this paper, we have proposed a novel iterative…

信号处理 · 电气工程与系统科学 2020-02-19 Nitesh Sahu , Prabhu Babu , Arun Kumar , Rajendar Bahl

Bat algorithm is a population metaheuristic proposed in 2010 which is based on the echolocation or bio-sonar characteristics of microbats. Since its first implementation, the bat algorithm has been used in a wide range of fields. In this…

神经与进化计算 · 计算机科学 2016-04-15 Eneko Osaba , Xin-She Yang , Fernando Diaz , Pedro Lopez-Garcia , Roberto Carballedo

We explore a new general-purpose heuristic for finding high-quality solutions to hard optimization problems. The method, called extremal optimization, is inspired by self-organized criticality, a concept introduced to describe emergent…

统计力学 · 物理学 2009-10-31 S. Boettcher , A. G. Percus

Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

机器学习 · 计算机科学 2015-02-10 Alina Ene , Huy L. Nguyen

Future improvements in particle accelerator performance is predicated on increasingly accurate online modeling of accelerators. Hysteresis effects in magnetic, mechanical, and material components of accelerators are often neglected in…

加速器物理 · 物理学 2022-06-01 R. Roussel , A. Edelen , D. Ratner , K. Dubey , J. P. Gonzalez-Aguilera , Y. K. Kim , N. Kuklev

A recently introduced general-purpose heuristic for finding high-quality solutions for many hard optimization problems is reviewed. The method is inspired by recent progress in understanding far-from-equilibrium phenomena in terms of {\em…

神经与进化计算 · 计算机科学 2007-05-23 Stefan Boettcher , Allon G. Percus

Quantum annealing is a heuristic algorithm for searching the ground state of an Ising model. Heuristic algorithms aim to obtain near-optimal solutions with a reasonable computation time. Accordingly, many algorithms have so far been…

量子物理 · 物理学 2022-11-09 Shuntaro Okada , Masayuki Ohzeki

Discrete version of state transition algorithm is proposed in order to solve the traveling salesman problem. Three special operators for discrete optimization problem named swap, shift and symmetry transformations are presented. Convergence…

最优化与控制 · 数学 2013-02-12 Yang Chunhua , Tang Xiaolin , Zhou Xiaojun , Gui Weihua

We propose a novel method for multi-objective motion planning problems by leveraging the paradigm of lexicographic optimization and applying it for the first time to graph search over probabilistic roadmaps. The competing resources of…

机器人学 · 计算机科学 2020-08-19 Tixiao Shan , Brendan Englot

In this paper, it is presented a novel strategy to optimize the determination of magnetic couplings by using ab-initio calculations of the energy. This approach allows determining efficiently, in terms of a proposed effective magnetic spin…

强关联电子 · 物理学 2020-09-04 J. M. Matera , C. A. Lamas , L. A. Errico , A. V. Gil Rebaza , V. I. Fernández

Tensor networks provide compact and scalable representations of high-dimensional data, enabling efficient computation in fields such as quantum physics, numerical partial differential equations (PDEs), and machine learning. This paper…

数值分析 · 数学 2025-08-28 Julia Wei , Alec Dektor , Chungen Shen , Zaiwen Wen , Chao Yang

At present, high-dimensional global optimization problems with time-series models have received much attention from engineering fields. Since it was proposed, Bayesian optimization has quickly become a popular and promising approach for…

机器学习 · 计算机科学 2021-08-06 Yuyang Chen , Kaiming Bi , Chih-Hang J. Wu , David Ben-Arieh , Ashesh Sinha

Algorithm design is a laborious process and often requires many iterations of ideation and validation. In this paper, we explore automating algorithm design and present a method to learn an optimization algorithm, which we believe to be the…

机器学习 · 计算机科学 2016-06-07 Ke Li , Jitendra Malik

TSP (Traveling Salesman Problem), a classic NP-complete problem in combinatorial optimization, is of great significance in multiple fields. Exact algorithms for TSP are not practical due to their exponential time cost. Thus, approximate…

数据结构与算法 · 计算机科学 2019-11-12 Yang Li , Junbin Gao , Mingyuan Bai , Chengjun Li , Gang Liu

This study combines simulated annealing with delta evaluation to solve the joint stratification and sample allocation problem. In this problem, atomic strata are partitioned into mutually exclusive and collectively exhaustive strata. Each…

人工智能 · 计算机科学 2021-11-23 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim