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Paper Citation Record · LEDGER

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization

As of 22 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2505.04412.

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

pith.paper-citation-record.v1
2505.04412 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:34:54.310219Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b2282bdd-911e-48c7-a8c2-3a424c594487 · outbound

This paper cites Meila and H.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Meila and H

Reference 1

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Observation b4cb7b10-a516-4e70-ae6d-bf0e32714db7 · outbound

This paper cites Fefferman, S.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Fefferman, S

Reference 2

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Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 3

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Observation c0140bfb-0b33-47b1-8524-708b3be5f802 · outbound

This paper cites van der Maaten and G.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization van der Maaten and G

Reference 4

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Observation 3c6e8544-c00f-4bc7-a16d-b0d6f130086c · outbound

This paper cites McInnes, J.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization McInnes, J

Reference 5

Resolution
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Observation 680c915f-15fb-4261-99c6-bb0748237561 · outbound

This paper cites Topologicalautoencoders.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Topologicalautoencoders

Reference 6

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Observation 00061a1d-db69-47ad-aa01-7a71d4fd6317 · outbound

This paper cites Goodfellow, Y.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Goodfellow, Y

Reference 7

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Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 8

Resolution
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This paper cites Persistenthomology—asurvey.Discrete&ComputationalGeom- etry, 453, 01 2008.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Persistenthomology—asurvey.Discrete&ComputationalGeom- etry, 453, 01 2008

Reference 9

Resolution
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Observation 9aa7f774-e98f-4762-8367-0de52106536d · outbound

This paper cites Measuresofdistortionformachinelearning.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Measuresofdistortionformachinelearning

Reference 10

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Observation 4e8a0c75-a784-4bca-93ba-b9df8f30008c · outbound

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Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 11

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Observation b6a22545-ed80-4345-84ff-5a7075db5865 · outbound

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Reference 12

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Observation 16ada4e5-cba2-4c60-a006-0928eb8a4ee4 · outbound

This paper cites Lee and B.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Lee and B

Reference 13

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This paper cites Fefferman, S.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Fefferman, S

Reference 14

Resolution
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Observation 53b995bf-f841-4da3-beba-59cfe2f0d5d1 · outbound

This paper cites Reconstructionandinterpolation of manifolds.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Reconstructionandinterpolation of manifolds

Reference 15

Resolution
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Observation aaa1381f-917b-42aa-82de-449d40ca1068 · outbound

This paper cites Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel

Reference 16

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Source-reported events for the cited work

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Observation 4c30208b-81c2-4c9e-9bf1-04edde0b5557 · outbound

This paper cites Fefferman, S.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Fefferman, S

Reference 17

Resolution
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Observation d7f5271b-0f6c-4407-b6c2-1e54b9607caa · outbound

This paper cites Genovese, M.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Genovese, M

Reference 18

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Observation 70234faf-f477-45c0-9cd4-bec044adc76f · outbound

This paper cites Genovese, M.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Genovese, M

Reference 19

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Observation a908811f-49d0-4243-95f4-be14022ee23a · outbound

This paper cites Psenka, D.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Psenka, D

Reference 20

Resolution
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Observation a75e6b97-e612-410d-b8ac-5c8976f4e9df · outbound

This paper cites Representationtopologydivergence: A method for comparing neural network representations.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Representationtopologydivergence: A method for comparing neural network representations

Reference 21

Resolution
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Observation 5d70ab01-2556-4d85-a50c-a615abd4c10e · outbound

This paper cites Trofimov, D.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Trofimov, D

Reference 22

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Observation 0f147627-5d0e-4743-a104-d3f030e0aa02 · outbound

This paper cites An Invitation to the Euler Characteristic Transform.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization An Invitation to the Euler Characteristic Transform

Reference 23

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Source-reported events for the cited work

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Observation eef72db6-d976-494d-a27b-e89c6b90ad1f · outbound

This paper cites Röell and B.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Röell and B

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 18f780b6-145f-49b5-86e3-dc5d386a42d7 · outbound

This paper cites Geometricautoencoders-whatyouseeiswhat you decode.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Geometricautoencoders-whatyouseeiswhat you decode

Reference 25

Resolution
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Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 26

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Observation 0c3ea8c8-fb9b-4756-a37a-08b51b410d7c · outbound

This paper cites Isometric Representation Learning for Disentangled Latent Space of Diffusion Models.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Isometric Representation Learning for Disentangled Latent Space of Diffusion Models

Reference 27

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6c2b27dc-67f8-468a-8daf-72f74e9cd738 · outbound

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Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a4e477b1-229c-4cbc-aedf-24371fafbf30 · outbound

This paper cites Federer.Geometric Measure Theory.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Federer.Geometric Measure Theory

Reference 29

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Observation 33023b55-99ba-48a6-8f7c-48aae5f29298 · outbound

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Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Pedregosa, G

Reference 30

Resolution
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Observation 092ea4d6-7992-4bdf-b0f7-d4d62c32b1de · outbound

This paper cites Coenen and A.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Coenen and A

Reference 31

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Source-reported events for the cited work

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Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 32

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d3b862f0-3eaf-4498-b47f-a36a02244814 · outbound

This paper cites Dan and G.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Dan and G

Reference 33

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Observation da16ec51-4d3e-4cc5-b0bf-2307d75c74d5 · outbound

This paper cites Sainburg, L.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Sainburg, L

Reference 34

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 55695cab-b801-4078-8832-ff87816bf910 · outbound

This paper cites InThe 14th European Symposium on Artificial Neural Networks, pages 557–562, 01 2006.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization InThe 14th European Symposium on Artificial Neural Networks, pages 557–562, 01 2006

Reference 35

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Source-reported events for the cited work

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Observation 08619950-933f-4765-a971-c13a99d39216 · outbound

This paper cites Theartofusingt-sneforsinglecelltranscriptomics.NatureCommuni- cations, 10:1–14, 2019.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Theartofusingt-sneforsinglecelltranscriptomics.NatureCommuni- cations, 10:1–14, 2019

Reference 36

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2ee84ca8-9c2e-4fd6-a3a5-8c0559e4b486 · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 37

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T23:34:54.617753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.246031Z digest=sha256:d0077aab57bd2fde9d54bb1d704446e2ff97cbf93d5479460e3b103efde09a88

Observation ba00fc37-037d-4042-8184-83b2148106dd · outbound

This paper cites Tune: A Research Platform for Distributed Model Selection and Training.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Tune: A Research Platform for Distributed Model Selection and Training

Reference 38

Resolution
malformed identifier
no resolver link, observed 2026-08-15T23:34:54.250466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:34:54.250466Z digest=sha256:a65d33e854c8c573eb6c7e568b29d1852940fe64713d33b3b0397fd443c5709d

Observation 3e5f45dd-d761-46ee-b100-761bc79d0288 · outbound

This paper cites Final model.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Final model

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:34:54.603781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ecc7ee67-d6d9-4246-ab13-81994674388c · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 40

Resolution
parse uncertain
raw_fallback, observed 2026-08-15T23:34:54.587604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.259993Z digest=sha256:ca2e3e2273ad48f9209f990e162775475ae096874a4ff7511dac5dab05138413

Observation 8a405d47-851e-432a-85ff-60d5019247eb · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 41

Resolution
parse uncertain
raw_fallback, observed 2026-08-15T23:34:54.572394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 3fc3132e-1c42-4387-9033-e192e92e4448 · outbound

This paper cites Topo-geom AE.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Topo-geom AE

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:34:54.557371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.268910Z digest=sha256:fac9a46625debff1c4cb862f185d5f313e05896e534afba6a1ed98f7941a14f3

Observation 605e4a2e-0df3-4f20-8668-1931dca6d9a6 · outbound

This paper cites MR AE" = MRL + AE. Aboutthe.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization MR AE" = MRL + AE. Aboutthe

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:34:54.543644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.273839Z digest=sha256:998f2e0fe8c08d9d37fca47208916a03fcef5f746b54f53d94ce6386edfeb382

Observation 576b4c0f-b4a0-4f42-a6ae-3b0a1ed733ca · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:34:54.529468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.279160Z digest=sha256:2c50ca80a92c0fc29306e19d31d0d19e179e94732c490f78a29e3f4ca94f4b10

Observation bd019ac8-4397-4e3f-8a0f-8f088608876c · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:34:54.515154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.284060Z digest=sha256:19e0ca53fe9f3eb43ceb77383164d54fa31403f690ecc9f7e7fe6560d5ad2afa

Observation 5a50ee15-3654-4446-a9cd-059f9b79c246 · outbound

This paper cites mathematicians cannot tell the difference between a doughnut and a coffee mug.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization mathematicians cannot tell the difference between a doughnut and a coffee mug

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:34:54.500260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.288387Z digest=sha256:e7f483a81830c507e4638fd21827d8bec9b3010af30cf8360d4a8d8997e61f26

Observation 92f9f65e-5eb5-41c3-8565-c3d7deb19061 · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:34:54.485213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.293051Z digest=sha256:730f6d58c89ba52b410385dbe11f0f66f96ca41069729f0b081bd1616c00786f

Observation 16826c17-e7df-4215-8472-fc2f3a85ed3c · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:34:54.470973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.297388Z digest=sha256:f35cd83ff3fbb49f84d94e3c8d385a09427b304afa67c9814d356322dfba70c5

Observation f5bc4004-ab02-44e4-8c09-b860111b411b · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:34:54.456832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.301758Z digest=sha256:5fd254b47e4808f7affbf037471de1137635c7ec6dcea220670f4436d3947604

Observation 3b5996ef-65c8-4236-be5e-cd612d01e51e · outbound

This paper cites an unresolved cited work.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:34:54.442517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.306087Z digest=sha256:5ac42e6d42c291af26579c971f67dc530d38f174180f81b8d4516b21b409b29e

Observation e837944b-46b1-47c2-8650-749aaab2cae9 · outbound

This paper cites loss"isthedifferencebetweenthecurrentdataandthe noisy input, and the.

Latent Manifold Reconstruction and Representation with Topological and Geometrical Regularization loss"isthedifferencebetweenthecurrentdataandthe noisy input, and the

Reference 51

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T23:34:54.427459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:34:54.310219Z digest=sha256:835772c8dcb238e14555b1bab452554a457351f1ec5faadc71f8dfa42c727ba2

Pith citing papers

No inbound Pith citation observations are available.