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This work introduces a hybrid quantum-classical method to correlation clustering, a graph-based unsupervised learning task that seeks to partition the nodes in a graph based on pairwise agreement and disagreement. In particular, we adapt…

The transition to 100% renewable energy requires new techniques for managing energy networks, such as dividing them into sensible subsets of prosumers called micro-grids. Doing so in an optimal manner is a difficult optimization problem, as…

The problem of generating an optimal coalition structure for a given coalition game of rational agents is to find a partition that maximizes their social welfare and is known to be NP-hard. This paper proposes GCS-Q, a novel…

Quantum Physics · Physics 2023-08-08 Supreeth Mysore Venkatesh , Antonio Macaluso , Matthias Klusch

The increasing number of Low Earth Orbit (LEO) satellites, driven by lower manufacturing and launch costs, is proving invaluable for Earth observation missions and low-latency internet connectivity. However, as the number of satellites…

The article introduces a new method for applying Quantum Clustering to graph structures. Quantum Clustering (QC) is a novel density-based unsupervised learning method that determines cluster centers by constructing a potential function. In…

Machine Learning · Computer Science 2025-01-17 Zhe Wang , ZhiJie He , Ding Liu

Analog quantum computation offers a route to machine learning using controllable physical dynamics as a computational resource. However, many existing approaches rely on task-specific protocols or observables that are difficult to access…

Quantum Physics · Physics 2026-05-12 Shmuel Lorber , Yonatan Dubi

Clustering is a powerful machine learning technique that groups "similar" data points based on their characteristics. Many clustering algorithms work by approximating the minimization of an objective function, namely the sum of…

Quantum Physics · Physics 2018-01-29 Vaibhaw Kumar , Gideon Bass , Casey Tomlin , Joseph Dulny

Portfolio construction has been a long-standing topic of research in finance. The computational complexity and the time taken both increase rapidly with the number of investments in the portfolio. It becomes difficult, even impossible for…

Computational Engineering, Finance, and Science · Computer Science 2024-10-17 Queenie Sun , Nicholas Grablevsky , Huaizhang Deng , Pooya Azadi

We present an algorithm for quantum-assisted cluster analysis (QACA) that makes use of the topological properties of a D-Wave 2000Q quantum processing unit (QPU). Clustering is a form of unsupervised machine learning, where instances are…

Quantum Physics · Physics 2018-03-09 Florian Neukart , David Von Dollen , Christian Seidel

We introduce Qlustering, a quantum-inspired algorithm for unsupervised learning that leverages network-based quantum transport to perform data clustering. In contrast to traditional distance-based methods, Qlustering treats the steady-state…

Quantum Physics · Physics 2025-10-28 Shmuel Lorber , Yonatan Dubi

Blockchain transaction data exhibits high dimensionality, noise, and intricate feature entanglement, presenting significant challenges for traditional clustering algorithms. In this study, we conduct a comparative analysis of three…

Machine Learning · Computer Science 2025-05-23 Yun-Cheng Tsai , Samuel Yen-Chi Chen

We derive an efficient method to perform clustering of nodes in Gaussian graphical models directly from sample data. Nodes are clustered based on the similarity of their network neighborhoods, with edge weights defined by partial…

Machine Learning · Computer Science 2019-10-08 Keith Dillon

Due to recent technological advances, actual quantum devices are being constructed and used to perform computations. As a result, many classical problems are being restated so as to be solved on quantum computers. Some examples include…

Number Theory · Mathematics 2021-10-27 Matthew B. Crawford

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

This article empirically examines the computational cost of solving a known hard problem, graph clustering, using novel purpose-built computer hardware. We express the graph clustering problem as an intra-cluster distance or dissimilarity…

Social and Information Networks · Computer Science 2020-03-10 Pierre Miasnikof , Seo Hong , Yuri Lawryshyn

This paper addresses the limitations of conventional vector quantization algorithms, particularly K-Means and its variant K-Means++, and investigates the Stochastic Quantization (SQ) algorithm as a scalable alternative for high-dimensional…

Machine Learning · Computer Science 2025-03-11 Anton Kozyriev , Vladimir Norkin

Many applications in automated auditing and the analysis and consistency check of financial documents can be formulated in part as the subset sum problem: Given a set of numbers and a target sum, find the subset of numbers that sums up to…

Optimization and Control · Mathematics 2022-11-07 David Biesner , Thore Gerlach , Christian Bauckhage , Bernd Kliem , Rafet Sifa

Coalition Structure Generation (CSG) is an NP-Hard problem in which agents are partitioned into mutually exclusive groups to maximize their social welfare. In this work, we propose QuACS, a novel hybrid quantum classical algorithm for…

Quantum Physics · Physics 2023-04-17 Supreeth Mysore Venkatesh , Antonio Macaluso , Matthias Klusch

In this paper we show how to implement in a simple way some complex real-life constraints on the portfolio optimization problem, so that it becomes amenable to quantum optimization algorithms. Specifically, first we explain how to obtain…

Portfolio Management · Quantitative Finance 2021-08-23 Samuel Palmer , Serkan Sahin , Rodrigo Hernandez , Samuel Mugel , Roman Orus

Portfolio optimization is a cornerstone of financial decision-making, traditionally relying on classical algorithms to balance risk and return. Recent advances in quantum computing offer a promising alternative, leveraging quantum…

Quantum Physics · Physics 2025-11-27 Vicente P. Soloviev , Michal Krompiec
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