Hamiltonian formulations of centroid-based clustering | Paper Citation Record

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This paper cites Image segmen- tation by clustering.

Hamiltonian formulations of centroid-based clustering Image segmen- tation by clustering

Reference 1

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This paper cites Therefore, by optimizing the combined objective function in Eq.

Hamiltonian formulations of centroid-based clustering Therefore, by optimizing the combined objective function in Eq

Reference 2

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This paper cites A survey of fuzzy clustering algorithms for pattern recognition.

Hamiltonian formulations of centroid-based clustering A survey of fuzzy clustering algorithms for pattern recognition

Reference 3

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This paper cites Data clus- tering: a review.

Hamiltonian formulations of centroid-based clustering Data clus- tering: a review

Reference 4

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This paper cites Biclustering algorithms for biological data analysis: a survey.

Hamiltonian formulations of centroid-based clustering Biclustering algorithms for biological data analysis: a survey

Reference 5

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This paper cites Research on customer segmentation model by clustering.

Hamiltonian formulations of centroid-based clustering Research on customer segmentation model by clustering

Reference 6

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This paper cites Model-based clustering for social networks.Journal of the Royal Statistical Society: Series A (Statistics in Society), 170(2):301– 354, 2007.

Hamiltonian formulations of centroid-based clustering Model-based clustering for social networks.Journal of the Royal Statistical Society: Series A (Statistics in Society), 170(2):301– 354, 2007

Reference 7

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This paper cites Survey on anomaly de- tection using data mining techniques.

Hamiltonian formulations of centroid-based clustering Survey on anomaly de- tection using data mining techniques

Reference 8

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This paper cites A review of clustering techniques and de- velopments.

Hamiltonian formulations of centroid-based clustering A review of clustering techniques and de- velopments

Reference 9

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This paper cites The rcdk and cluster r packages applied to drug candidate selection.

Hamiltonian formulations of centroid-based clustering The rcdk and cluster r packages applied to drug candidate selection

Reference 10

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This paper cites Machine learn- ing in drug discovery: a review.

Hamiltonian formulations of centroid-based clustering Machine learn- ing in drug discovery: a review

Reference 11

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This paper cites Artificial intelligence in drug discovery and development.Drug Discovery and Evaluation: Safety and Pharmacokinetic Assays, pages 1–38, 2023.

Hamiltonian formulations of centroid-based clustering Artificial intelligence in drug discovery and development.Drug Discovery and Evaluation: Safety and Pharmacokinetic Assays, pages 1–38, 2023

Reference 12

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This paper cites Data clustering: 50 years beyond k-means.

Hamiltonian formulations of centroid-based clustering Data clustering: 50 years beyond k-means

Reference 13

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This paper cites A comprehensive survey of clustering algorithms.

Hamiltonian formulations of centroid-based clustering A comprehensive survey of clustering algorithms

Reference 14

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This paper cites A comprehensive survey of clustering algorithms: State-of-the-art machine learning applications, tax- onomy, challenges, and future research prospects.

Hamiltonian formulations of centroid-based clustering A comprehensive survey of clustering algorithms: State-of-the-art machine learning applications, tax- onomy, challenges, and future research prospects

Reference 15

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This paper cites Ising formulations of many np problems.

Hamiltonian formulations of centroid-based clustering Ising formulations of many np problems

Reference 16

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Observation 1c068425-fc14-418c-826f-ec9ca4d3bdd3 · outbound

This paper cites Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices.

Hamiltonian formulations of centroid-based clustering Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices

Reference 17

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Observation 8270f7fe-bbb3-42ab-bb1b-197af85fe405 · outbound

This paper cites Preparing ground states of quantum many-body systems on a quantum computer.Physical Review Letters, 102(13):130503, 2009.

Hamiltonian formulations of centroid-based clustering Preparing ground states of quantum many-body systems on a quantum computer.Physical Review Letters, 102(13):130503, 2009

Reference 18

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This paper cites Faster ground state preparation and high-precision ground energy estimation with fewer qubits.

Hamiltonian formulations of centroid-based clustering Faster ground state preparation and high-precision ground energy estimation with fewer qubits

Reference 19

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This paper cites Near-optimal ground state preparation.

Hamiltonian formulations of centroid-based clustering Near-optimal ground state preparation

Reference 20

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This paper cites Universal quantum algorithmic cooling on a quantum computer.

Hamiltonian formulations of centroid-based clustering Universal quantum algorithmic cooling on a quantum computer

Reference 21

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This paper cites Love, Al ´an Aspuru-Guzik, and Jeremy L.

Hamiltonian formulations of centroid-based clustering Love, Al ´an Aspuru-Guzik, and Jeremy L

Reference 22

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This paper cites The theory of variational hybrid quantum- classical algorithms.

Hamiltonian formulations of centroid-based clustering The theory of variational hybrid quantum- classical algorithms

Reference 23

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This paper cites Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C.

Hamiltonian formulations of centroid-based clustering Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C

Reference 24

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This paper cites A Quantum Approximate Optimization Algorithm.

Hamiltonian formulations of centroid-based clustering A Quantum Approximate Optimization Algorithm

Reference 25

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This paper cites Quantum annealing with manufactured spins.

Hamiltonian formulations of centroid-based clustering Quantum annealing with manufactured spins

Reference 26

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This paper cites Effi- cient combinatorial optimization by quantum-inspired parallel annealing in analogue memristor crossbar.

Hamiltonian formulations of centroid-based clustering Effi- cient combinatorial optimization by quantum-inspired parallel annealing in analogue memristor crossbar

Reference 27

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This paper cites Silhouettes: a graphical aid to the interpreta- tion and validation of cluster analysis.Journal of Computational and Applied Mathematics, 20:53–65, 1987.

Hamiltonian formulations of centroid-based clustering Silhouettes: a graphical aid to the interpreta- tion and validation of cluster analysis.Journal of Computational and Applied Mathematics, 20:53–65, 1987

Reference 28

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Observation 5a8c4743-5c29-4741-b71f-963318d69b79 · outbound

This paper cites Objective criteria for the evaluation of clus- tering methods.

Hamiltonian formulations of centroid-based clustering Objective criteria for the evaluation of clus- tering methods

Reference 29

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This paper cites Scikit- learn: Machine learning in python.

Hamiltonian formulations of centroid-based clustering Scikit- learn: Machine learning in python

Reference 30

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This paper cites QPU-Specific Physical Properties: Ad- vantage System 6.4.

Hamiltonian formulations of centroid-based clustering QPU-Specific Physical Properties: Ad- vantage System 6.4

Reference 31

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Observation 631dceed-fc12-4bac-9398-75eae953fd6b · outbound

This paper cites Ising models for binary clustering via adiabatic quantum computing.

Hamiltonian formulations of centroid-based clustering Ising models for binary clustering via adiabatic quantum computing

Reference 32

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Observation 196513e3-8a30-4ce8-b974-7814000ac065 · outbound

This paper cites Balanced k-means cluster- ing on an adiabatic quantum computer.

Hamiltonian formulations of centroid-based clustering Balanced k-means cluster- ing on an adiabatic quantum computer

Reference 33

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This paper cites A qubo formulation of the k-medoids prob- lem.

Hamiltonian formulations of centroid-based clustering A qubo formulation of the k-medoids prob- lem

Reference 34

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Observation 7cf18b18-d32e-401c-bbea-16eef6a997d7 · outbound

This paper cites Distance-based clustering using qubo formula- tions.

Hamiltonian formulations of centroid-based clustering Distance-based clustering using qubo formula- tions

Reference 35

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This paper cites Quantum annealing for combinatorial clustering.

Hamiltonian formulations of centroid-based clustering Quantum annealing for combinatorial clustering

Reference 36

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Observation 66cca3a0-212a-476b-819f-8e68a14a9e99 · outbound

This paper cites Qubo formulations for training machine learning models.

Hamiltonian formulations of centroid-based clustering Qubo formulations for training machine learning models

Reference 37

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Observation 5104b9a3-4618-4b1d-bd5e-b3dd96593e2e · outbound

This paper cites Constrained clustering: Current and new trends.

Hamiltonian formulations of centroid-based clustering Constrained clustering: Current and new trends

Reference 38

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Observation 743d0246-7dcb-4ec2-b829-8051c5c21024 · outbound

This paper cites Flexible constrained spectral clustering.

Hamiltonian formulations of centroid-based clustering Flexible constrained spectral clustering

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.365902Z

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Observation 5ea5341c-caff-4267-8065-fb69d277560b · outbound

This paper cites Random search for hyper-parameter optimization.

Hamiltonian formulations of centroid-based clustering Random search for hyper-parameter optimization

Reference 40

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This paper cites Practi- cal bayesian optimization of machine learning algorithms.

Hamiltonian formulations of centroid-based clustering Practi- cal bayesian optimization of machine learning algorithms

Reference 41

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Observation 4657c6ca-bad7-4b6a-b45d-07af58c9687c · outbound

This paper cites King, and Aidan Roy.

Hamiltonian formulations of centroid-based clustering King, and Aidan Roy

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.332884Z

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Observation 3ac29183-909a-4377-a4dc-85f666665861 · outbound

This paper cites Next-Generation Topology of D-Wave Quantum Processors.

Hamiltonian formulations of centroid-based clustering Next-Generation Topology of D-Wave Quantum Processors

Reference 43

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Observation c03a979f-c237-436c-8580-1171b8a2e247 · outbound

This paper cites Experimental investigation of performance differences between coherent ising machines and a quantum annealer.

Hamiltonian formulations of centroid-based clustering Experimental investigation of performance differences between coherent ising machines and a quantum annealer

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.322944Z

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Observation 1736a91e-625b-4763-9c1f-ed2f513b1bba · outbound

This paper cites Benchmarking embedded chain breaking in quantum annealing.

Hamiltonian formulations of centroid-based clustering Benchmarking embedded chain breaking in quantum annealing

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.312604Z

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Observation a370962d-3f55-4ad3-bb6f-43071a81656f · outbound

This paper cites Benchmarking chain strength: An optimal approach for quantum annealing.

Hamiltonian formulations of centroid-based clustering Benchmarking chain strength: An optimal approach for quantum annealing

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.301921Z

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Observation 68952ec3-19c7-4254-8b35-c964c791aa69 · outbound

This paper cites Comparing Three Generations of D-Wave Quantum Annealers for Minor Embedded Combinatorial Optimization Problems.

Hamiltonian formulations of centroid-based clustering Comparing Three Generations of D-Wave Quantum Annealers for Minor Embedded Combinatorial Optimization Problems

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-08T15:15:52.207780Z

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Observation 5873b169-1fde-4aff-9fd0-8b9907cc7b81 · outbound

This paper cites Quantum annealers chain strengths: A simple heuristic to set them all.

Hamiltonian formulations of centroid-based clustering Quantum annealers chain strengths: A simple heuristic to set them all

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.291324Z

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Observation 22530bd7-f83a-46ae-91b0-fc730c2adca5 · outbound

This paper cites (A1) and (A2): 𝑑∑︁ 𝑗=1  𝑁∑︁ 𝑖=1 𝑥𝑖 𝑗 2− 𝑁+𝑁2 − 𝑁2 +𝑁2− 𝑁∑︁ 𝑖 𝑥𝑖 𝑗 1+𝑧𝑖 2 !2 − 𝑁2 +𝑁− 𝑁2 +𝑁2− 𝑁∑︁ 𝑖 𝑥𝑖 𝑗 1−𝑧𝑖 2 !2.

Hamiltonian formulations of centroid-based clustering (A1) and (A2): 𝑑∑︁ 𝑗=1  𝑁∑︁ 𝑖=1 𝑥𝑖 𝑗 2− 𝑁+𝑁2 − 𝑁2 +𝑁2− 𝑁∑︁ 𝑖 𝑥𝑖 𝑗 1+𝑧𝑖 2 !2 − 𝑁2 +𝑁− 𝑁2 +𝑁2− 𝑁∑︁ 𝑖 𝑥𝑖 𝑗 1−𝑧𝑖 2 !2

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.279558Z

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Observation fafe90bb-a3d5-44d2-8b22-c820b6f97971 · outbound

This paper cites (A3) and Eq.

Hamiltonian formulations of centroid-based clustering (A3) and Eq

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:52.268170Z

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This paper cites an unresolved cited work.

Hamiltonian formulations of centroid-based clustering Unresolved cited work

Reference 51

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