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This work presents a novel method for task optimization in industrial plants using quantum-inspired tensor network technology. This method obtains the best possible combination of tasks on a set of machines with directed constraints while…

We consider the group isomorphism problem: given two finite groups G and H specified by their multiplication tables, decide if G cong H. For several decades, the n^(log_p n + O(1)) generator-enumeration bound (where p is the smallest prime…

Data Structures and Algorithms · Computer Science 2013-12-09 David J. Rosenbaum , Fabian Wagner

In this paper, a round-table group optimization (RTGO) algorithm is presented. RTGO is a simple metaheuristic framework using the insights of research on group creativity. In a cooperative group, the agents work in iterative sessions to…

Neural and Evolutionary Computing · Computer Science 2018-08-08 Xiao-Feng Xie

Centrality measures characterize important nodes in networks. Efficiently computing such nodes has received a lot of attention. When considering the generalization of computing central groups of nodes, challenging optimization problems…

Data Structures and Algorithms · Computer Science 2020-10-30 Eugenio Angriman , Ruben Becker , Gianlorenzo D'Angelo , Hugo Gilbert , Alexander van der Grinten , Henning Meyerhenke

We introduce a new framework that leverages machine learning models known as generative models to solve optimization problems. Our Generator-Enhanced Optimization (GEO) strategy is flexible to adopt any generative model, from quantum to…

Quantum Physics · Physics 2022-07-01 Javier Alcazar , Mohammad Ghazi Vakili , Can B. Kalayci , Alejandro Perdomo-Ortiz

This manuscript introduces a new socio-inspired metaheuristic technique referred to as Leader-Advocate-Believer based optimization algorithm (LAB) for engineering and global optimization problems. The proposed algorithm is inspired by the…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Ruturaj Reddy , Anand J Kulkarni , Ganesh Krishnasamy , Apoorva S Shastri , Amir H. Gandomi

Influence maximization aims to identify a set of influential individuals, referred to as influencers, as information sources to maximize the spread of information within networks, constituting a vital combinatorial optimization problem with…

Social and Information Networks · Computer Science 2024-05-16 Wenfeng Shi , Tianlong Fan , Shuqi Xu , Rongmei Yang , Linyuan Lü

The development of tailored materials for specific applications is an active field of research in chemistry, material science and drug discovery. The number of possible molecules that can be obtained from a set of atomic species grow…

The paper considers the problem of a leader that seeks to optimally influence the opinions of agents in a directed network through connecting with a limited number of the agents ("direct followers"), possibly in the presence of a fixed…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

Reliable global optimization is dedicated to finding a global minimum in the presence of rounding errors. The only approaches for achieving a numerical proof of global optimality are interval branch and bound methods that interleave…

Numerical Analysis · Mathematics 2020-01-31 Charlie Vanaret

Recent advances in quantum architectures and computing have motivated the development of new optimizing compilers for quantum programs or circuits. Even though steady progress has been made, existing quantum optimization techniques remain…

Programming Languages · Computer Science 2025-02-28 Jatin Arora , Mingkuan Xu , Sam Westrick , Pengyu Liu , Dantong Li , Yongshan Ding , Umut A. Acar

This thesis is concerned with continuous, static, and single-objective optimization problems subject to inequality constraints. Nevertheless, some methods to handle other kinds of problems are briefly reviewed. The particle swarm…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente

In this paper, we study Grover's search algorithm focusing on continuous-time quantum walk on graphs. We propose an alternative optimization approach to Grover's algorithm on graphs that can be summarized as follows: instead of finding…

Mathematical Physics · Physics 2022-07-06 Gamal Mograby , Radhakrishnan Balu , Kasso A. Okoudjou , Alexander Teplyaev

Generative models typically sample outputs independently, and recent inference-time guidance and scaling algorithms focus on improving the quality of individual samples. However, in real-world applications, users are often presented with a…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Gaurav Parmar , Or Patashnik , Daniil Ostashev , Kuan-Chieh Wang , Kfir Aberman , Srinivasa Narasimhan , Jun-Yan Zhu

The renormalization group has proven to be a very powerful tool in physics for treating systems with many length scales. Here we show how it can be adapted to provide a new class of algorithms for discrete optimization. The heart of our…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , O. C. Martin

Many complex networks exhibit a modular structure of densely connected groups of nodes. Usually, such a modular structure is uncovered by the optimization of some quality function. Although flawed, modularity remains one of the most popular…

Physics and Society · Physics 2015-09-10 V. A. Traag

The filtering-clustering models, including trend filtering and convex clustering, have become an important source of ideas and modeling tools in machine learning and related fields. The statistical guarantee of optimal solutions in these…

Machine Learning · Statistics 2022-01-26 Nhat Ho , Tianyi Lin , Michael I. Jordan

This paper presents a practical global optimization algorithm for the K-center clustering problem, which aims to select K samples as the cluster centers to minimize the maximum within-cluster distance. This algorithm is based on a…

Optimization and Control · Mathematics 2026-03-04 Jiayang Ren , Ningning You , Kaixun Hua , Chaojie Ji , Yankai Cao

We present an adaptive and parallel implementation of the Basin Hopping (BH) algorithm for the global optimization of atomic clusters interacting via the Lennard-Jones (LJ) potential. The method integrates local energy minimization with…

With the growing interest in quantum machine learning, the perceptron -- a fundamental building block in traditional machine learning -- has emerged as a valuable model for exploring quantum advantages. Two quantum perceptron algorithms…

Quantum Physics · Physics 2025-03-24 Xiaoyu Sun , Mathieu Roget , Giuseppe Di Molfetta , Hachem Kadri