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Paper Citation Record · LEDGER

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning

As of 22 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2505.08497.

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

pith.paper-citation-record.v1
2505.08497 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:57:36.306720Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c63cc2e-cc3c-4ab5-bae3-9f2ef6673a2b · outbound

This paper cites Hierarchical mixtures of experts and the em algorithm.Neural computation, 6(2):181–214, 1994.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning Hierarchical mixtures of experts and the em algorithm.Neural computation, 6(2):181–214, 1994

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T21:57:36.266543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 525ff378-0c79-47c0-969d-ee6bffdaaf5a · outbound

This paper cites A domain decomposition method for fast manifold learning.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning A domain decomposition method for fast manifold learning

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.447070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.270744Z digest=sha256:e874094d2b2cfee94bdca1154e7886187f8e8623c310ace7e66ac72893ed7903

Observation 25bfd4f7-16d3-4982-aff1-476ff3cb69b8 · outbound

This paper cites Acceleration techniques for reduced-order models based on proper orthogonal decomposition.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning Acceleration techniques for reduced-order models based on proper orthogonal decomposition

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.436972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.274039Z digest=sha256:4ad4fa91612dec6027b64801e0782fc4871dcf2b3df77a817ace078da14ab509

Observation bb9293ec-f413-45e6-9b31-6e80d8bd902c · outbound

This paper cites Efficient domain decomposition for a neural network learning algorithm, used for the dose evaluation in external radiotherapy.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning Efficient domain decomposition for a neural network learning algorithm, used for the dose evaluation in external radiotherapy

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.426446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.277432Z digest=sha256:c087f8fb1c6950faa90a14d1696093a3e1825dc140890cc3139c668e8035edcc

Observation 76e8d0c6-8367-428c-aaf8-115f42f8de77 · outbound

This paper cites A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.415881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.280690Z digest=sha256:615654a41e16895761a0b74c4af044d899e04b88a0bc8b0d40db10065e7a18ee

Observation 01a88c0d-c6cf-4ea1-b31c-e1a4d0109b62 · outbound

This paper cites Domain-decomposed bayesian inversion based on local karhunen-loève expansions.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning Domain-decomposed bayesian inversion based on local karhunen-loève expansions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.404692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.284451Z digest=sha256:86a643e5d33df1f30f81dc8e826d271541f81ffd829e0f28d84664faec6fced0

Observation 5390f6cc-81ab-4a09-a001-bad0ee7277e1 · outbound

This paper cites Principal components analysis (pca).

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning Principal components analysis (pca)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.394608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.287875Z digest=sha256:d318906201247ef4e0db6fb1e6a2b29a1ee43adfaaecf5975e93d697af5da8d1

Observation c5a08e3b-1b9a-499f-b03d-16fc9e0a1699 · outbound

This paper cites The moore–penrose pseudoinverse: A tutorial review of the theory.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning The moore–penrose pseudoinverse: A tutorial review of the theory

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T21:57:36.290876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:57:36.290876Z digest=sha256:7aaf036a6260b3af268677b16f7d9270796b2ecf3ae6c4201e3a9c33bb63d1c5

Observation 5368b5b8-77d8-4b1c-a6ec-7e6834733d89 · outbound

This paper cites The ball-pivoting algorithm for surface reconstruction.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning The ball-pivoting algorithm for surface reconstruction

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.378935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.293874Z digest=sha256:8e574a3b255a17e44ee9224e3c1f721d2e3afebfe4f39531790982693f05c5c5

Observation 8ade8baa-7a99-46cf-b70f-fff5074f666f · outbound

This paper cites Mathematical analysis of goldstein’s model for time-harmonic acoustics in flows.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning Mathematical analysis of goldstein’s model for time-harmonic acoustics in flows

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.368134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.297052Z digest=sha256:5c52fd993e3d3fcf4a1dc6ca70ffd05e15120f29510690f883c43c622a7fa83b

Observation 34f5d09e-f6ee-4635-866e-7202406d0080 · outbound

This paper cites An adaptive sampling strategy for kriging metamodel based on delaunay triangulation and topsis.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning An adaptive sampling strategy for kriging metamodel based on delaunay triangulation and topsis

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.357933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.300173Z digest=sha256:38c8f1723e96cc0283cdbe4fb9b7ebabba04ec3845b31f68c9883354cec796d3

Observation 448c305d-5958-42b0-bb2f-ae42d2f4f17d · outbound

This paper cites UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T21:57:36.303306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:57:36.303306Z digest=sha256:436f2d2fdd9b28d3019021560dd93e59a827c2b7ce08479b10bf3267605034c7

Observation 9290f9fd-3ba3-4da6-9019-9844492b1996 · outbound

This paper cites https://www.irt-systemx.fr/projets/hsa/.

A new methodology to decompose a parametric domain using reduced order data manifold in machine learning https://www.irt-systemx.fr/projets/hsa/

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:36.345980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:57:36.306720Z digest=sha256:f610e75248361f9e0440d6ea25b6da05e25f5c0431ef71668eedfc194e2810e9

Pith citing papers

No inbound Pith citation observations are available.