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Paper Citation Record · LEDGER

Cluster-Aware Matching via Laplacian Optimal Transport

As of 9 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2607.16178.

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pith.paper-citation-record.v1
2607.16178 v1

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measured 53 of 53 reference resolution

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53 of 53 outbound references displayed

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Outbound references

Observation 215bcf7e-6a3b-4567-8957-a8cffc31f866 · outbound

This paper cites Gromov-Wasserstein Alignment of Word Embedding Spaces.

Cluster-Aware Matching via Laplacian Optimal Transport Gromov-Wasserstein Alignment of Word Embedding Spaces

Reference 1

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Observation d7662676-4d43-439c-bff3-d9a37afe0bd9 · outbound

This paper cites Laplacian eigenmaps and spectral techniques for embedding and clustering.

Cluster-Aware Matching via Laplacian Optimal Transport Laplacian eigenmaps and spectral techniques for embedding and clustering

Reference 2

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This paper cites A sober look at clustering stability.

Cluster-Aware Matching via Laplacian Optimal Transport A sober look at clustering stability

Reference 3

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This paper cites A method for registration of 3-D shapes.IEEE Transactions on Pattern Analysis and Machine Intelligence, 14(2):239–256, 1992.

Cluster-Aware Matching via Laplacian Optimal Transport A method for registration of 3-D shapes.IEEE Transactions on Pattern Analysis and Machine Intelligence, 14(2):239–256, 1992

Reference 4

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This paper cites MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data.

Cluster-Aware Matching via Laplacian Optimal Transport MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data

Reference 5

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This paper cites McGraw Hill, 2011.

Cluster-Aware Matching via Laplacian Optimal Transport McGraw Hill, 2011

Reference 6

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This paper cites Learning generative models across incomparable spaces.

Cluster-Aware Matching via Laplacian Optimal Transport Learning generative models across incomparable spaces

Reference 7

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Observation 2a6e1729-ae04-4e81-990c-cab787e81101 · outbound

This paper cites Diffusion maps.Applied and Computational Harmonic Analysis, 21(1):5–30, 2006.

Cluster-Aware Matching via Laplacian Optimal Transport Diffusion maps.Applied and Computational Harmonic Analysis, 21(1):5–30, 2006

Reference 8

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This paper cites Optimal transport for domain adaptation.IEEE Transactions on Pattern Analysis and Machine Intelligence, 39(9):1853–1865, 2017.

Cluster-Aware Matching via Laplacian Optimal Transport Optimal transport for domain adaptation.IEEE Transactions on Pattern Analysis and Machine Intelligence, 39(9):1853–1865, 2017

Reference 9

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This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.

Cluster-Aware Matching via Laplacian Optimal Transport Sinkhorn distances: Lightspeed computation of optimal transport

Reference 10

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This paper cites Efficient random graph matching via degree profiles.Probability Theory and Related Fields, 179(1):29–115, 2021.

Cluster-Aware Matching via Laplacian Optimal Transport Efficient random graph matching via degree profiles.Probability Theory and Related Fields, 179(1):29–115, 2021

Reference 11

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This paper cites On the existence of Monge maps for the Gromov-Wasserstein problem.Foundations of Computational Mathematics, 25(2):463–510, 2025.

Cluster-Aware Matching via Laplacian Optimal Transport On the existence of Monge maps for the Gromov-Wasserstein problem.Foundations of Computational Mathematics, 25(2):463–510, 2025

Reference 12

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This paper cites An algorithm for restricted least squares regression.Journal of the American Statistical Association, 78(384):837–842, 1983.

Cluster-Aware Matching via Laplacian Optimal Transport An algorithm for restricted least squares regression.Journal of the American Statistical Association, 78(384):837–842, 1983

Reference 13

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This paper cites Regularized discrete optimal transport.SIAM Journal on Imaging Sciences, 7(3):1853–1882, 2014.

Cluster-Aware Matching via Laplacian Optimal Transport Regularized discrete optimal transport.SIAM Journal on Imaging Sciences, 7(3):1853–1882, 2014

Reference 14

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This paper cites Statistical optimal transport via factored couplings.

Cluster-Aware Matching via Laplacian Optimal Transport Statistical optimal transport via factored couplings

Reference 15

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Observation af4a6b50-2a64-4f13-b67c-4caa7c29d08d · outbound

This paper cites Unsupervised alignment of embeddings with Wasserstein procrustes.

Cluster-Aware Matching via Laplacian Optimal Transport Unsupervised alignment of embeddings with Wasserstein procrustes

Reference 16

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This paper cites On the added value of bootstrap analysis for K-means clustering.Journal of Classification, 32(2):268–284, 2015.

Cluster-Aware Matching via Laplacian Optimal Transport On the added value of bootstrap analysis for K-means clustering.Journal of Classification, 32(2):268–284, 2015

Reference 17

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This paper cites Statistical significance of clustering using soft thresholding.Journal of Computational and Graphical Statistics, 24(4):975–993, 2015.

Cluster-Aware Matching via Laplacian Optimal Transport Statistical significance of clustering using soft thresholding.Journal of Computational and Graphical Statistics, 24(4):975–993, 2015

Reference 18

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This paper cites Reversible Gromov–Monge sampler for simulation-based inference.SIAM Journal on Mathematics of Data Science, 6(2):283–310, 2024.

Cluster-Aware Matching via Laplacian Optimal Transport Reversible Gromov–Monge sampler for simulation-based inference.SIAM Journal on Mathematics of Data Science, 6(2):283–310, 2024

Reference 19

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This paper cites Robust point matching with distance profiles.Journal of Machine Learning Research, 26(205):1–38, 2025.

Cluster-Aware Matching via Laplacian Optimal Transport Robust point matching with distance profiles.Journal of Machine Learning Research, 26(205):1–38, 2025

Reference 20

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This paper cites A Convexified Matching Approach to Imputation and Individualized Inference.

Cluster-Aware Matching via Laplacian Optimal Transport A Convexified Matching Approach to Imputation and Individualized Inference

Reference 21

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This paper cites Inference for Clustering: Conformal Sets for Cluster Labels.

Cluster-Aware Matching via Laplacian Optimal Transport Inference for Clustering: Conformal Sets for Cluster Labels

Reference 22

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Cluster-Aware Matching via Laplacian Optimal Transport Unresolved cited work

Reference 23

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Observation 160b23ad-b5ae-45a7-82a4-9067d773a8c0 · outbound

This paper cites Assignment problems and the location of economic activities.Econometrica, pages 53–76, 1957.

Cluster-Aware Matching via Laplacian Optimal Transport Assignment problems and the location of economic activities.Econometrica, pages 53–76, 1957

Reference 24

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This paper cites Mechanisms to improve clustering uncertain data with UKmeans.Data & Knowledge Engineering, 116:1–18, 2018.

Cluster-Aware Matching via Laplacian Optimal Transport Mechanisms to improve clustering uncertain data with UKmeans.Data & Knowledge Engineering, 116:1–18, 2018

Reference 25

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This paper cites A survey for the quadratic assignment problem.European Journal of Operational Research, 176(2):657–690, 2007.

Cluster-Aware Matching via Laplacian Optimal Transport A survey for the quadratic assignment problem.European Journal of Operational Research, 176(2):657–690, 2007

Reference 26

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This paper cites Gromov-Wasserstein distances and the metric approach to object matching.Founda- tions of Computational Mathematics, 11(4):417–487, 2011.

Cluster-Aware Matching via Laplacian Optimal Transport Gromov-Wasserstein distances and the metric approach to object matching.Founda- tions of Computational Mathematics, 11(4):417–487, 2011

Reference 27

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This paper cites Comparison results for Gromov-Wasserstein and Gromov-Monge distances.ESAIM: Control, Optimisation and Calculus of Variations, 30:78, 2024.

Cluster-Aware Matching via Laplacian Optimal Transport Comparison results for Gromov-Wasserstein and Gromov-Monge distances.ESAIM: Control, Optimisation and Calculus of Variations, 30:78, 2024

Reference 28

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This paper cites Point set registration: Coherent point drift.IEEE Transactions on Pattern Analysis and Machine Intelligence, 32(12):2262–2275, 2010.

Cluster-Aware Matching via Laplacian Optimal Transport Point set registration: Coherent point drift.IEEE Transactions on Pattern Analysis and Machine Intelligence, 32(12):2262–2275, 2010

Reference 29

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Cluster-Aware Matching via Laplacian Optimal Transport Weighted Conformal Clustering

Reference 30

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Cluster-Aware Matching via Laplacian Optimal Transport The canonically posed 3d objects dataset

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This paper cites Computational optimal transport: With applications to data science.

Cluster-Aware Matching via Laplacian Optimal Transport Computational optimal transport: With applications to data science

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Cluster-Aware Matching via Laplacian Optimal Transport Gromov-Wasserstein averaging of kernel and distance matrices

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Cluster-Aware Matching via Laplacian Optimal Transport Stability k-means clustering

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Cluster-Aware Matching via Laplacian Optimal Transport Unresolved cited work

Reference 35

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This paper cites Fast point feature histograms (FPFH) for 3d registration.IEEE International Conference on Robotics and Automation, pages 3212–3217, 2009.

Cluster-Aware Matching via Laplacian Optimal Transport Fast point feature histograms (FPFH) for 3d registration.IEEE International Conference on Robotics and Automation, pages 3212–3217, 2009

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This paper cites Recent advances in shape correspondence.The Visual Computer, 36(8):1705–1721, 2020.

Cluster-Aware Matching via Laplacian Optimal Transport Recent advances in shape correspondence.The Visual Computer, 36(8):1705–1721, 2020

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This paper cites Low-rank optimal transport: Approximation, statistics and debiasing.

Cluster-Aware Matching via Laplacian Optimal Transport Low-rank optimal transport: Approximation, statistics and debiasing

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Cluster-Aware Matching via Laplacian Optimal Transport Low-rank Sinkhorn factorization

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Observation a2743b34-43f9-423d-9095-677b0834b06f · outbound

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Cluster-Aware Matching via Laplacian Optimal Transport Unresolved cited work

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Cluster-Aware Matching via Laplacian Optimal Transport Generalized-ICP

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Observation 5a4ec3fd-dcb3-469c-b6f1-f6df1e38f554 · outbound

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Cluster-Aware Matching via Laplacian Optimal Transport Critical limitations of consensus clustering in class discovery.Scientific Reports, 4(1):6207, 2014

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Observation 39136c2c-4875-4bff-853f-2d0c4f38f316 · outbound

This paper cites Alignment of density maps in Wasserstein distance.Biological Imaging, 4:e5, 2024.

Cluster-Aware Matching via Laplacian Optimal Transport Alignment of density maps in Wasserstein distance.Biological Imaging, 4:e5, 2024

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Observation c88d65c6-c5b6-4433-9696-f24b39708ad8 · outbound

This paper cites Lack of evidence for the transitional cerebellar progenitor.Nature, 643(8071):E1–E8, 2025.

Cluster-Aware Matching via Laplacian Optimal Transport Lack of evidence for the transitional cerebellar progenitor.Nature, 643(8071):E1–E8, 2025

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Observation 4f9a24e7-d9f9-4bdf-9ffa-1b2fa5a7f582 · outbound

This paper cites Entropic metric alignment for corre- spondence problems.ACM Transactions on Graphics, 35(4):1–13, 2016.

Cluster-Aware Matching via Laplacian Optimal Transport Entropic metric alignment for corre- spondence problems.ACM Transactions on Graphics, 35(4):1–13, 2016

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Observation a7f6a152-18d8-4489-9efa-9d9eae3395d1 · outbound

This paper cites A survey on shape corre- spondence.Computer Graphics Forum, 30(6):1681–1707, 2011.

Cluster-Aware Matching via Laplacian Optimal Transport A survey on shape corre- spondence.Computer Graphics Forum, 30(6):1681–1707, 2011

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Observation 4ce4acb2-4e9b-427e-a04b-09dabdfcdd07 · outbound

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Cluster-Aware Matching via Laplacian Optimal Transport American Mathematical Society, 2003

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Observation 9620e8d3-3448-421b-bf0c-bd3d7d8f36d4 · outbound

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Cluster-Aware Matching via Laplacian Optimal Transport A tutorial on spectral clustering.Statistics and Computing, 17(4):395–416, 2007

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Observation 71cdb0d6-c807-49d3-babb-d67a4aa19973 · outbound

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Cluster-Aware Matching via Laplacian Optimal Transport Clustering stability: An overview.Foundations and Trends®in Machine Learning, 2(3):235–274, 2010

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Observation aad866c6-7a60-4365-92eb-f8cde4d18fc8 · outbound

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Cluster-Aware Matching via Laplacian Optimal Transport Bayesian cluster analysis: Point estimation and credible balls (with discussion).Bayesian Analysis, 13(2):559–626, 2018

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Observation 6ba7a700-f37f-423d-a80e-230a741814f0 · outbound

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Cluster-Aware Matching via Laplacian Optimal Transport The use of entropy maximising models, in the theory of trip distribution, mode split and route split.Journal of Transport Economics and Policy, pages 108–126, 1969

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Observation 8ccda70e-41f3-47a2-89ee-1d672d6dded3 · outbound

This paper cites Optimal transport for brain-image alignment: Unveiling redundancy and synergy in neural information processing.

Cluster-Aware Matching via Laplacian Optimal Transport Optimal transport for brain-image alignment: Unveiling redundancy and synergy in neural information processing

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Observation a7aacc24-841c-46c9-beef-b62bab39a4fc · outbound

This paper cites Gromov-Wasserstein learning for graph matching and node embedding.

Cluster-Aware Matching via Laplacian Optimal Transport Gromov-Wasserstein learning for graph matching and node embedding

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