Paper Citation Record · LEDGER

Automated Manifold Learning for Reduced Order Modeling

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2506.01741.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.01741 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:41:20.907579Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T14:22:39.302334Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-30T14:24:44.898475Z

Reference resolution

42 of 42 outbound references displayed

verified exact2
verified fuzzy30
unresolved10
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a3dfa830-3cd3-4f22-a11f-10f4fe54906b · outbound

This paper cites Discovering governing equations from partial measurements with deep delay autoencoders.

Automated Manifold Learning for Reduced Order Modeling Discovering governing equations from partial measurements with deep delay autoencoders

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.531824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 79976452-53e3-42cb-a9c5-f757d05c8d13 · outbound

This paper cites Laplacian eigenmaps for dimensionality reduction and data representation.

Automated Manifold Learning for Reduced Order Modeling Laplacian eigenmaps for dimensionality reduction and data representation

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.516408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8b711454-b069-49eb-9cb1-f8986340f608 · outbound

This paper cites Random search for hyper-parameter optimization.

Automated Manifold Learning for Reduced Order Modeling Random search for hyper-parameter optimization

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.502407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 09151efb-45a9-4c6f-8f33-ce719a178d2b · outbound

This paper cites an unresolved cited work.

Automated Manifold Learning for Reduced Order Modeling Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T11:41:20.972217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5dd2d7fc-c88f-44a9-a16b-e4ed3caf6276 · outbound

This paper cites Free surface flows past surfboards and sluice gates.

Automated Manifold Learning for Reduced Order Modeling Free surface flows past surfboards and sluice gates

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.486919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 65950411-c2a0-4e7b-bd45-1fdba2425dcb · outbound

This paper cites Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching.

Automated Manifold Learning for Reduced Order Modeling Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.472453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b2b37a6a-12bb-49e7-8815-38f10f7651ea · outbound

This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems.

Automated Manifold Learning for Reduced Order Modeling Discovering governing equations from data by sparse identification of nonlinear dynamical systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:20.570493Z

Source-reported events for the cited work

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Observation 79ce96bb-b4a5-41fe-b2e1-401c9b397ab4 · outbound

This paper cites Data-driven discovery of coordinates and governing equations.

Automated Manifold Learning for Reduced Order Modeling Data-driven discovery of coordinates and governing equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.448773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e224f2f1-79d4-4ad6-aee9-0cd556c24672 · outbound

This paper cites An introduction to topological data analysis: Fundamental and practical aspects for data scientists.

Automated Manifold Learning for Reduced Order Modeling An introduction to topological data analysis: Fundamental and practical aspects for data scientists

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.431354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d3925feb-aa2d-4443-8daa-f904a48562eb · outbound

This paper cites Geometric NeuralPDE ( GNPnet ) Models for Learning Dynamics.

Automated Manifold Learning for Reduced Order Modeling Geometric NeuralPDE ( GNPnet ) Models for Learning Dynamics

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.417329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6eb50ed8-a864-4e4e-99f7-e66677030057 · outbound

This paper cites Dynamics from noisy data with extreme timing uncertainty.

Automated Manifold Learning for Reduced Order Modeling Dynamics from noisy data with extreme timing uncertainty

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.402807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7ed81435-6905-4c71-9b91-5ffda7e929e9 · outbound

This paper cites node2vec: Scalable feature learning for networks.

Automated Manifold Learning for Reduced Order Modeling node2vec: Scalable feature learning for networks

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.387799Z

Source-reported events for the cited work

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Observation 7be24101-de77-45c0-8579-6597b73dae68 · outbound

This paper cites Inductive representation learning on large graphs.

Automated Manifold Learning for Reduced Order Modeling Inductive representation learning on large graphs

Reference 13

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Source-reported events for the cited work

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Observation 6a4bd3a3-4396-4be1-b961-4acdaf838fce · outbound

This paper cites Exact solution of the sine-gordon equation for multiple collisions of solitons.

Automated Manifold Learning for Reduced Order Modeling Exact solution of the sine-gordon equation for multiple collisions of solitons

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.362474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7bb1ee11-f5ea-4d7c-8395-dfc8c0ecfbfe · outbound

This paper cites Sequential model-based optimization for general algorithm configuration.

Automated Manifold Learning for Reduced Order Modeling Sequential model-based optimization for general algorithm configuration

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.346729Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f64acba-1acd-436a-aa4e-4435e1820f14 · outbound

This paper cites Kipf and Max Welling.

Automated Manifold Learning for Reduced Order Modeling Kipf and Max Welling

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.329096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa11918b-a45d-4f39-bb8a-31541755b5da · outbound

This paper cites Reconstructing phase space from pde simulations.

Automated Manifold Learning for Reduced Order Modeling Reconstructing phase space from pde simulations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.314999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c253724e-0353-4c04-bcaf-b75c86208296 · outbound

This paper cites Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis.

Automated Manifold Learning for Reduced Order Modeling Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.298593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc7a13bc-a490-47f5-9357-778ead8d318e · outbound

This paper cites Diffusion-Induced Chaos in Reaction Systems.

Automated Manifold Learning for Reduced Order Modeling Diffusion-Induced Chaos in Reaction Systems

Reference 19

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Source-reported events for the cited work

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Observation d4b58cdd-41f0-48b2-a994-0f4f38104320 · outbound

This paper cites Lee and Michel Verleysen.

Automated Manifold Learning for Reduced Order Modeling Lee and Michel Verleysen

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.282647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1b1adc9b-cd3c-4aed-a656-350e9634071a · outbound

This paper cites Identifying the latent space geometry of network models through analysis of curvature.

Automated Manifold Learning for Reduced Order Modeling Identifying the latent space geometry of network models through analysis of curvature

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.268948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4f3d141e-d7f8-4847-a4b4-0ccec4558027 · outbound

This paper cites Deep learning for universal linear embeddings of nonlinear dynamics.

Automated Manifold Learning for Reduced Order Modeling Deep learning for universal linear embeddings of nonlinear dynamics

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:20.795694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dca6912-d47f-44a0-9f03-d804dd6fa90d · outbound

This paper cites Muñoz Sabater.

Automated Manifold Learning for Reduced Order Modeling Muñoz Sabater

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:20.801128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22df9e7e-89f2-4305-a4d0-e1f9c4db3672 · outbound

This paper cites Using neural implicit flow to represent latent dynamics of canonical systems.

Automated Manifold Learning for Reduced Order Modeling Using neural implicit flow to represent latent dynamics of canonical systems

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.243816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1145337c-94e1-4db7-985a-0d49d31c98fc · outbound

This paper cites Dynamically meaningful latent representations of dynamical systems.

Automated Manifold Learning for Reduced Order Modeling Dynamically meaningful latent representations of dynamical systems

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.229935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 037552a1-833a-4006-a65c-066ae33fc4b6 · outbound

This paper cites Learning reduced order dynamics via geometric representations.

Automated Manifold Learning for Reduced Order Modeling Learning reduced order dynamics via geometric representations

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.215245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e07569b3-8e75-4c60-8f76-adfbf7f11bc2 · outbound

This paper cites Otto and Clarence W.

Automated Manifold Learning for Reduced Order Modeling Otto and Clarence W

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.200827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4f545fe3-4706-464e-8da1-8617560c3dc4 · outbound

This paper cites Pedregosa, G.

Automated Manifold Learning for Reduced Order Modeling Pedregosa, G

Reference 28

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Source-reported events for the cited work

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Observation 217815ce-6cd7-45fb-b570-6df124984970 · outbound

This paper cites Deepwalk: Online learning of social representations.

Automated Manifold Learning for Reduced Order Modeling Deepwalk: Online learning of social representations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.174587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b0473d06-6a6f-49b2-a22e-57c9931a04cb · outbound

This paper cites Nonlinear dimensionality reduction by locally linear embedding.

Automated Manifold Learning for Reduced Order Modeling Nonlinear dimensionality reduction by locally linear embedding

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:20.839603Z

Source-reported events for the cited work

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Observation f2e6e319-cee4-4102-a988-85e6e8603fff · outbound

This paper cites Karate Club: An API Oriented Open-source Python Framework for Unsupervised Learning on Graphs.

Automated Manifold Learning for Reduced Order Modeling Karate Club: An API Oriented Open-source Python Framework for Unsupervised Learning on Graphs

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.151558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe1580cd-7e6b-4a93-a748-72fe1969854f · outbound

This paper cites Normalized cuts and image segmentation.

Automated Manifold Learning for Reduced Order Modeling Normalized cuts and image segmentation

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.135072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c24bf8a-3bf1-4ab4-8b97-e6a6b1cc642c · outbound

This paper cites Practical bayesian optimization of machine learning algorithms.

Automated Manifold Learning for Reduced Order Modeling Practical bayesian optimization of machine learning algorithms

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:20.856014Z

Source-reported events for the cited work

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Observation 74494b25-30bf-4491-bc02-611389d35f38 · outbound

This paper cites A global geometric framework for nonlinear dimensionality reduction.

Automated Manifold Learning for Reduced Order Modeling A global geometric framework for nonlinear dimensionality reduction

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:20.860836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1136a91-f2d1-4281-b447-6ba45a5faa2b · outbound

This paper cites Autone: Hyperparameter optimization for massive network embedding.

Automated Manifold Learning for Reduced Order Modeling Autone: Hyperparameter optimization for massive network embedding

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.102030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e6649024-7805-494a-b8ab-1820988ffdfb · outbound

This paper cites Graph attention networks.

Automated Manifold Learning for Reduced Order Modeling Graph attention networks

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.087669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63ca8ae4-8ede-4e52-a9f9-1a9b409e9a97 · outbound

This paper cites Dynamic graph cnn for learning on point clouds.

Automated Manifold Learning for Reduced Order Modeling Dynamic graph cnn for learning on point clouds

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.073408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5a375a08-a4bc-4349-9d22-54c46000c1b5 · outbound

This paper cites Neighborhood growth determines geometric priors for relational representation learning.

Automated Manifold Learning for Reduced Order Modeling Neighborhood growth determines geometric priors for relational representation learning

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.059503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9dd304e8-394d-4468-b898-162a778dca21 · outbound

This paper cites Exponential time-differencing with embedded runge--kutta adaptive step control.

Automated Manifold Learning for Reduced Order Modeling Exponential time-differencing with embedded runge--kutta adaptive step control

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.044371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8627097f-5490-4cd0-b116-42bd0f592a25 · outbound

This paper cites Efficient AutoML Pipeline Search with Matrix and Tensor Factorization.

Automated Manifold Learning for Reduced Order Modeling Efficient AutoML Pipeline Search with Matrix and Tensor Factorization

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:41:21.011176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bfb1f52f-1f1d-4252-9f62-3dc7f0d24237 · outbound

This paper cites Tabnas: Rejection sampling for neural architecture search on tabular datasets.

Automated Manifold Learning for Reduced Order Modeling Tabnas: Rejection sampling for neural architecture search on tabular datasets

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:21.027158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e46ad19c-e018-430b-b961-b22ebc310c2e · outbound

This paper cites Automated Machine Learning on Graphs: A Survey.

Automated Manifold Learning for Reduced Order Modeling Automated Machine Learning on Graphs: A Survey

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:20.907579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7c385973-1202-4983-87e5-64eeeb58259f · inbound

MEDAL: Manifold Embedding Distillation via Autoencoder Learning cites this paper.

MEDAL: Manifold Embedding Distillation via Autoencoder Learning Automated Manifold Learning for Reduced Order Modeling

Reference 86

Resolution: verified exact; arxiv_id, observed 2026-06-30T14:24:44.900000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.