Quantum Annealing for Machine Learning: Applications in Feature Selection, Instance Selection, and Clustering

Fuente: arXiv
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Hauptverfasser: Pomeroy, Chloe, Pramov, Aleksandar, Thakrar, Karishma, Yendapalli, Lakshmi
Format: Preprint
Veröffentlicht: 2025
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author Pomeroy, Chloe
Pramov, Aleksandar
Thakrar, Karishma
Yendapalli, Lakshmi
author_facet Pomeroy, Chloe
Pramov, Aleksandar
Thakrar, Karishma
Yendapalli, Lakshmi
contents This paper explores the applications of quantum annealing (QA) and classical simulated annealing (SA) to a suite of combinatorial optimization problems in machine learning, namely feature selection, instance selection, and clustering. We formulate each task as a Quadratic Unconstrained Binary Optimization (QUBO) problem and implement both quantum and classical solvers to compare their effectiveness. For feature selection, we propose several QUBO configurations that balance feature importance and redundancy, showing that quantum annealing (QA) produces solutions that are computationally more efficient. In instance selection, we propose a few novel heuristics for instance-level importance measures that extend existing methods. For clustering, we embed a classical-to-quantum pipeline, using classical clustering followed by QUBO-based medoid refinement, and demonstrate consistent improvements in cluster compactness and retrieval metrics. Our results suggest that QA can be a competitive and efficient tool for discrete machine learning optimization, even within the constraints of current quantum hardware.
format Preprint
id arxiv_https___arxiv_org_abs_2507_15063
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Annealing for Machine Learning: Applications in Feature Selection, Instance Selection, and Clustering
Pomeroy, Chloe
Pramov, Aleksandar
Thakrar, Karishma
Yendapalli, Lakshmi
Quantum Physics
Emerging Technologies
Machine Learning
This paper explores the applications of quantum annealing (QA) and classical simulated annealing (SA) to a suite of combinatorial optimization problems in machine learning, namely feature selection, instance selection, and clustering. We formulate each task as a Quadratic Unconstrained Binary Optimization (QUBO) problem and implement both quantum and classical solvers to compare their effectiveness. For feature selection, we propose several QUBO configurations that balance feature importance and redundancy, showing that quantum annealing (QA) produces solutions that are computationally more efficient. In instance selection, we propose a few novel heuristics for instance-level importance measures that extend existing methods. For clustering, we embed a classical-to-quantum pipeline, using classical clustering followed by QUBO-based medoid refinement, and demonstrate consistent improvements in cluster compactness and retrieval metrics. Our results suggest that QA can be a competitive and efficient tool for discrete machine learning optimization, even within the constraints of current quantum hardware.
title Quantum Annealing for Machine Learning: Applications in Feature Selection, Instance Selection, and Clustering
topic Quantum Physics
Emerging Technologies
Machine Learning
url https://arxiv.org/abs/2507.15063