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Paper Citation Record · LEDGER

Understanding How Dimension Reduction Tools Work: An Empirical Approach to Deciphering t-SNE, UMAP, TriMAP, and PaCMAP for Data Visualization

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2012.04456.

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

pith.paper-citation-record.v1
2012.04456 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:25:20.847841Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T14:24:44.870962Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 90c6ffa1-3e2f-47a7-b23b-fba62e8fa396 · inbound

Scaling to Multimodal and Multichannel Heart Sound Classification with Synthetic and Augmented Biosignals cites this paper.

Scaling to Multimodal and Multichannel Heart Sound Classification with Synthetic and Augmented Biosignals Understanding How Dimension Reduction Tools Work: An Empirical Approach to Deciphering t-SNE, UMAP, TriMAP, and PaCMAP for Data Visualization

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-04T16:51:36.388842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T16:51:36.388842Z digest=sha256:79fabff6766c5df4f35f68d32b5075b616ec0d4586ca4d0dd95752b2e02e7057

Observation c7f87f5b-3c08-4f35-9a7b-85d0ef7236f3 · inbound

Explainable Iterative Data Visualisation Refinement via an LLM Agent cites this paper.

Explainable Iterative Data Visualisation Refinement via an LLM Agent Understanding How Dimension Reduction Tools Work: An Empirical Approach to Deciphering t-SNE, UMAP, TriMAP, and PaCMAP for Data Visualization

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-15T17:56:24.957616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-15T17:54:03.022335Z digest=sha256:7fa72734d1e562bf98f5de8385c9525364c7b3a34185ffd77507b2e9e5445b19

Observation 9a6287af-add2-41fc-bce8-fecc10b858a5 · inbound

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

MEDAL: Manifold Embedding Distillation via Autoencoder Learning Understanding How Dimension Reduction Tools Work: An Empirical Approach to Deciphering t-SNE, UMAP, TriMAP, and PaCMAP for Data Visualization

Reference 112

Resolution
verified exact
arxiv_id, observed 2026-06-30T14:24:44.873000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T14:22:39.302334Z digest=sha256:643c26acdd66b7fc79081d86f1077eadd45f78f78e77b3499b8eccf3f4b8a85c

Observation 1e1b1381-d279-4907-a013-a7c6fbda92f7 · inbound

CosMAP: Contrastive Manifold Approximation and Projection for Dimensionality Reduction of Omics and Genealogical Data cites this paper.

CosMAP: Contrastive Manifold Approximation and Projection for Dimensionality Reduction of Omics and Genealogical Data Understanding How Dimension Reduction Tools Work: An Empirical Approach to Deciphering t-SNE, UMAP, TriMAP, and PaCMAP for Data Visualization

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-15T14:25:20.847841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:25:20.847841Z digest=sha256:c6abadade18914a31b363879fbff285cda4bb13b2355d481342f102b2136c51d