Paper Citation Record · LEDGER

Learning manifold diffusion semigroups from graph transition matrices

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2605.25383.

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pith.paper-citation-record.v1
2605.25383 v1

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-29T21:06:04.205742Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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Outbound references

Observation d9c36b2d-c24b-45d7-9da0-994d58aa024e · outbound

This paper cites Laplacian eigenmaps for dimensionality reduction and data rep- resentation.Neural Computation, 15(6):1373–1396, 2003.

Learning manifold diffusion semigroups from graph transition matrices Laplacian eigenmaps for dimensionality reduction and data rep- resentation.Neural Computation, 15(6):1373–1396, 2003

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 3eef0b28-4d2a-4930-a0e1-6df7cfc2a19a · outbound

This paper cites Towards a theoretical foundation for Laplacian-based manifold methods.Journal of Computer and System Sciences, 74(8):1289–1308, 2008.

Learning manifold diffusion semigroups from graph transition matrices Towards a theoretical foundation for Laplacian-based manifold methods.Journal of Computer and System Sciences, 74(8):1289–1308, 2008

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation e8335ad4-6a8f-4a6a-b6dd-5c4f53e57c5f · outbound

This paper cites Measure-based diffusion grid con- struction and high-dimensional data discretization.Applied and Computational Harmonic Analysis, 40(2):207–228, 2016.

Learning manifold diffusion semigroups from graph transition matrices Measure-based diffusion grid con- struction and high-dimensional data discretization.Applied and Computational Harmonic Analysis, 40(2):207–228, 2016

Reference 3

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Observation 966ed108-4b6a-4a50-9049-4b5fbfb05af0 · outbound

This paper cites Local kernels and the geometric structure of data.Applied and Computational Harmonic Analysis, 40(3):439–469, 2016.

Learning manifold diffusion semigroups from graph transition matrices Local kernels and the geometric structure of data.Applied and Computational Harmonic Analysis, 40(3):439–469, 2016

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 73e75437-e0d0-44d6-bef0-3ca3ee7f3742 · outbound

This paper cites Lipschitz regularity of graph Laplacians on random data clouds.SIAM Journal on Mathematical Analysis, 54(1):1169–1222, 2022.

Learning manifold diffusion semigroups from graph transition matrices Lipschitz regularity of graph Laplacians on random data clouds.SIAM Journal on Mathematical Analysis, 54(1):1169–1222, 2022

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 10d5943d-12e9-4809-9fca-bae13eba7e51 · outbound

This paper cites Improved spectral convergence rates for graph Laplacians on ε-graphs andk-NN graphs.Applied and Computational Harmonic Analysis, 60:123–175, 2022.

Learning manifold diffusion semigroups from graph transition matrices Improved spectral convergence rates for graph Laplacians on ε-graphs andk-NN graphs.Applied and Computational Harmonic Analysis, 60:123–175, 2022

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 0977c300-eb1f-4f4a-8c28-8dd8dec1cd0c · outbound

This paper cites an unresolved cited work.

Learning manifold diffusion semigroups from graph transition matrices Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 15fdea73-fa9f-4995-be5e-58ed64b92137 · outbound

This paper cites Improved convergence rate of kNN graph Laplacians: differentiable self-tuned affinity.

Learning manifold diffusion semigroups from graph transition matrices Improved convergence rate of kNN graph Laplacians: differentiable self-tuned affinity

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-06-29T22:44:02.183176Z

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Observation 186fe656-25d7-4e6f-ad50-6eb4372cd6ab · outbound

This paper cites Convergence of graph Laplacian with kNN self-tuned kernels.

Learning manifold diffusion semigroups from graph transition matrices Convergence of graph Laplacian with kNN self-tuned kernels

Reference 9

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Observation f38719b4-eeb0-49b9-959c-c19c84be8689 · outbound

This paper cites Eigen-convergence of gaussian kernelized graph laplacian by manifold heat interpolation.Applied and Computational Harmonic Analysis, 61:132–190, 2022.

Learning manifold diffusion semigroups from graph transition matrices Eigen-convergence of gaussian kernelized graph laplacian by manifold heat interpolation.Applied and Computational Harmonic Analysis, 61:132–190, 2022

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation bdf0f513-2f5e-4afe-ab65-fbf132f68735 · outbound

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

Learning manifold diffusion semigroups from graph transition matrices Diffusion maps.Applied and Computational Harmonic Analysis, 21(1):5–30, 2006

Reference 11

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Observation a542c0de-1e1a-491b-aea7-c21cf3c5c7f8 · outbound

This paper cites Eigenfunctions of the Laplacian on compact Riemannian manifolds.Asian Journal of Mathematics, 10(1):115–126, 2006.

Learning manifold diffusion semigroups from graph transition matrices Eigenfunctions of the Laplacian on compact Riemannian manifolds.Asian Journal of Mathematics, 10(1):115–126, 2006

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation c506ea7d-d0ab-4a9b-ab98-db4c1da6eaab · outbound

This paper cites Spectral convergence of graph Laplacian and heat kernel reconstruction inL ∞ from random samples.Applied and Computational Harmonic Analysis, 55:282–336, 2021.

Learning manifold diffusion semigroups from graph transition matrices Spectral convergence of graph Laplacian and heat kernel reconstruction inL ∞ from random samples.Applied and Computational Harmonic Analysis, 55:282–336, 2021

Reference 13

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Observation 25dffa4f-7052-4695-9a93-f4de5f88bcd6 · outbound

This paper cites Springer, 1998.

Learning manifold diffusion semigroups from graph transition matrices Springer, 1998

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 50c146cf-1200-4af6-be81-a187df97a48f · outbound

This paper cites Gaussian upper bounds for the heat kernel on arbitrary manifolds.Journal of Differential Geometry, 45:33–52, 1997.

Learning manifold diffusion semigroups from graph transition matrices Gaussian upper bounds for the heat kernel on arbitrary manifolds.Journal of Differential Geometry, 45:33–52, 1997

Reference 15

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Observation e13a17ef-7989-4762-ab74-d0f847c28477 · outbound

This paper cites Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound.Journal of Spectral Theory, 6(4):807–835, 2016.

Learning manifold diffusion semigroups from graph transition matrices Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound.Journal of Spectral Theory, 6(4):807–835, 2016

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 02d79e08-d41d-4ce6-aa05-96c47e17227b · outbound

This paper cites Graph Laplacians and their convergence on random neighborhood graphs.Journal of Machine Learning Research, 8(6), 2007.

Learning manifold diffusion semigroups from graph transition matrices Graph Laplacians and their convergence on random neighborhood graphs.Journal of Machine Learning Research, 8(6), 2007

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 0e0ded01-ebc8-40e9-80d0-e5ed57343ac6 · outbound

This paper cites The spectral function of an elliptic operator.Acta mathematica, 121(1):193–218, 1968.

Learning manifold diffusion semigroups from graph transition matrices The spectral function of an elliptic operator.Acta mathematica, 121(1):193–218, 1968

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation fb8301b3-3530-48e3-bb79-3eb3d254e99f · outbound

This paper cites Estimates of derivatives of the heat kernel on a compact riemannian manifold.Proceedings of the american mathematical society, 127(12):3739–3744, 1999.

Learning manifold diffusion semigroups from graph transition matrices Estimates of derivatives of the heat kernel on a compact riemannian manifold.Proceedings of the american mathematical society, 127(12):3739–3744, 1999

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation eb25e9f5-f106-4e29-bc34-90b65ab8543f · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.Journal of Machine Learning Research, 24(89):1–97, 2023.

Learning manifold diffusion semigroups from graph transition matrices Neural operator: Learning maps between function spaces with applications to pdes.Journal of Machine Learning Research, 24(89):1–97, 2023

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation b8887324-7204-4528-ae1c-6188f448f138 · outbound

This paper cites Fourier neural operator for parametric partial differential equations.

Learning manifold diffusion semigroups from graph transition matrices Fourier neural operator for parametric partial differential equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation b4349fc9-d994-4cc1-8157-93a69ba86c7e · outbound

This paper cites Landmark diffusion maps (l-dmaps): Accelerated manifold learning out-of-sample extension.Applied and Computational Harmonic Analysis, 2017.

Learning manifold diffusion semigroups from graph transition matrices Landmark diffusion maps (l-dmaps): Accelerated manifold learning out-of-sample extension.Applied and Computational Harmonic Analysis, 2017

Reference 22

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Observation cbd40793-caa1-4c4a-bbac-f14a05fbafbf · outbound

This paper cites Springer Science & Business Media, 2012.

Learning manifold diffusion semigroups from graph transition matrices Springer Science & Business Media, 2012

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation f1b57ae1-f79b-4a48-b723-92d9afd321eb · outbound

This paper cites Manifold learning with bi-stochastic kernels.IMA Journal of Applied Mathematics, 84(3):455–482, 2019.

Learning manifold diffusion semigroups from graph transition matrices Manifold learning with bi-stochastic kernels.IMA Journal of Applied Mathematics, 84(3):455–482, 2019

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation fe509406-f8ab-4819-9195-0254e90dae55 · outbound

This paper cites Number 31.

Learning manifold diffusion semigroups from graph transition matrices Number 31

Reference 25

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Observation 1ceddd71-832e-4aa3-99a0-45c55d914c2b · outbound

This paper cites Scalability and robustness of spectral embedding: landmark diffusion is all you need.Information and Inference: A Journal of the IMA, 11(4):1527–1595, 2022.

Learning manifold diffusion semigroups from graph transition matrices Scalability and robustness of spectral embedding: landmark diffusion is all you need.Information and Inference: A Journal of the IMA, 11(4):1527–1595, 2022

Reference 26

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Observation 7cc5074a-b55c-41fd-9d01-4a2754b431cd · outbound

This paper cites From graph to manifold Laplacian: The convergence rate.Applied and Computational Harmonic Analysis, 21(1):128–134, 2006.

Learning manifold diffusion semigroups from graph transition matrices From graph to manifold Laplacian: The convergence rate.Applied and Computational Harmonic Analysis, 21(1):128–134, 2006

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation a1bb37d7-5fe9-4098-b213-e4584141b7a3 · outbound

This paper cites Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps.Proceedings of the National Academy of Sciences, 106(38):16090–16095, 2009.

Learning manifold diffusion semigroups from graph transition matrices Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps.Proceedings of the National Academy of Sciences, 106(38):16090–16095, 2009

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 6cdee2d5-8936-4494-88e4-d66a5ec20ca1 · outbound

This paper cites Spectral convergence of the connection Laplacian from random samples.Information and Inference: A Journal of the IMA, 6(1):58–123, 2017.

Learning manifold diffusion semigroups from graph transition matrices Spectral convergence of the connection Laplacian from random samples.Information and Inference: A Journal of the IMA, 6(1):58–123, 2017

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 80563783-04a1-453b-abeb-63e281438645 · outbound

This paper cites Empirical intrinsic geometry for nonlinear modeling and time series filtering.Proceedings of the National Academy of Sciences, 110(31):12535–12540, 2013.

Learning manifold diffusion semigroups from graph transition matrices Empirical intrinsic geometry for nonlinear modeling and time series filtering.Proceedings of the National Academy of Sciences, 110(31):12535–12540, 2013

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 223b4224-6376-480b-9950-cf7bcb740258 · outbound

This paper cites Adaptive bayesian regression on data with low intrinsic dimensionality.The Annals of Statistics, 54(2):1080–1099, 2026.

Learning manifold diffusion semigroups from graph transition matrices Adaptive bayesian regression on data with low intrinsic dimensionality.The Annals of Statistics, 54(2):1080–1099, 2026

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T21:06:04.205742Z

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Observation 606604c3-d245-49bb-b19e-ab7f89e5e116 · outbound

This paper cites An analysis of the convergence of graph Laplacians.

Learning manifold diffusion semigroups from graph transition matrices An analysis of the convergence of graph Laplacians

Reference 32

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Observation a58a8efc-0e37-4f66-94dd-f0550a3a3085 · outbound

This paper cites an unresolved cited work.

Learning manifold diffusion semigroups from graph transition matrices Unresolved cited work

Reference 33

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Observation bfd9a394-09bf-4b97-8046-4a119df1d1c9 · outbound

This paper cites Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds.

Learning manifold diffusion semigroups from graph transition matrices Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-06-29T22:44:02.186962Z

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Observation f1c2176d-7e61-48ce-87fe-3f0e5fd58f72 · outbound

This paper cites Wormell and Sebastian Reich.

Learning manifold diffusion semigroups from graph transition matrices Wormell and Sebastian Reich

Reference 35

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