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Paper Citation Record · LEDGER

Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2309.09725.

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

pith.paper-citation-record.v1
2309.09725 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:42:05.577201Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T05:26:38.888761Z

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 0b316574-b2dd-4b7e-a433-fed97b26bb04 · inbound

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension cites this paper.

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-18T10:22:33.173090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-18T10:22:28.096542Z digest=sha256:274b10aca95731e527958690bdea2afcfba2cf6ac120cf59d014e497ced60db2

Observation 36f14d7e-6d4b-4d2d-8ad6-c860055d782e · inbound

How Label Imbalance Shapes Geometry: A General Spectral Analysis of Multi-Label Neural Collapse cites this paper.

How Label Imbalance Shapes Geometry: A General Spectral Analysis of Multi-Label Neural Collapse Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-09T05:50:26.816361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-08T19:29:49.018621Z digest=sha256:daab737fd0250e3227e8020df385586f4966f7f2caf561b99f86508e172c2b27

Observation 2b763c36-431b-4ec6-b9ab-4ce6e42cf5a1 · inbound

Rethinking Loss Reweighting for Imbalance Learning as an Inverse Problem: A Neural Collapse Point of View cites this paper.

Rethinking Loss Reweighting for Imbalance Learning as an Inverse Problem: A Neural Collapse Point of View Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-12T02:21:16.689155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-12T02:19:25.805509Z digest=sha256:49dbfadbf2ad36461b6f6addc423f955af99854514a5cb4e00330d7d19eaaec5

Observation 836ff13b-01f8-4c6b-b381-c09e0a521ff6 · inbound

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes cites this paper.

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

Reference 87

Resolution
verified exact
arxiv_id, observed 2026-05-25T05:26:38.891799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-25T05:26:15.556205Z digest=sha256:16a8c8aff2239e6d5d5285f5a4f999b6dd99636afb1180eb3d641625a4fd25ac

Observation ca671ba4-908d-4b50-82b8-67e79836434e · inbound

Neural Collapse Is Forbidden: Information Floors in Language Models cites this paper.

Neural Collapse Is Forbidden: Information Floors in Language Models Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:7e5ceb40634050f2f0c81a81acd9ebff57b3607f793e41a1ab9e0521162e5ed7