Paper Citation Record · LEDGER

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2505.13582.

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

pith.paper-citation-record.v1
2505.13582 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:26:51.822108Z

measured 18 of 18 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

18 of 18 outbound references displayed

verified exact1
verified fuzzy14
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 175803ba-bf4f-40fc-a393-e72d658391ce · outbound

This paper cites Sun , author D.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Sun , author D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:52.049738Z

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.

Observation df104783-73ff-4dae-91d8-c7d22b7660db · outbound

This paper cites Zhang , author Y.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Zhang , author Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:52.038076Z

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.

Observation 17cae233-ae5a-4198-93bc-8e6eea89dc6c · outbound

This paper cites Zhang , author Z.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Zhang , author Z

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:52.026661Z

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.

Observation c6afe56e-58cd-48c1-b59d-09f84336327d · outbound

This paper cites Bai , author T.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Bai , author T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:52.014372Z

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.

Observation 181e17ca-1bcb-4107-b6c1-f70dabd43a29 · outbound

This paper cites Cooper , title Global minima of overparameterized neural networks , journal SIAM Journal on Mathematics of Data Science volume 3 ( year 2021 ) pages 676--691.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Cooper , title Global minima of overparameterized neural networks , journal SIAM Journal on Mathematics of Data Science volume 3 ( year 2021 ) pages 676--691

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:52.002230Z

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.

Observation be21ac24-4e66-4747-933e-b3b76c77dec7 · outbound

This paper cites Geometry and Local Recovery of Global Minima of Two-layer Neural Networks at Overparameterization.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Geometry and Local Recovery of Global Minima of Two-layer Neural Networks at Overparameterization

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:26:51.877708Z

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.

Observation edb85516-fe1a-4480-9d24-13e5664d0b2d · outbound

This paper cites Fukumizu , author S.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Fukumizu , author S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.989879Z

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.

Observation a38c8338-4335-4eac-bccb-62f5b9ee6ae7 · outbound

This paper cites Fukumizu , author S.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Fukumizu , author S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.979082Z

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.

Observation 99355e3f-e009-4e81-bc24-0b2751916dd4 · outbound

This paper cites Simsek , author F.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Simsek , author F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.968738Z

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.

Observation 83561a7f-f612-4a8e-9b0e-d7baa679b7f7 · outbound

This paper cites Simsek , author A.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Simsek , author A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.958281Z

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.

Observation aff3332f-ccb3-49cc-ad0a-c49c1bf8b27d · outbound

This paper cites First-order Methods Almost Always Avoid Saddle Points.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting First-order Methods Almost Always Avoid Saddle Points

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T20:26:51.797163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 853f164a-ff0e-4d3b-a89b-e5e3abe6daf2 · outbound

This paper cites Venturi , author A.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Venturi , author A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.947575Z

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.

Observation 145aaefa-706e-4f63-bdfc-1efe96cf5110 · outbound

This paper cites Li , author T.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Li , author T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.935748Z

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.

Observation fe1539e0-2292-4bad-a7f4-1ce991de7998 · outbound

This paper cites Nguyen , author M.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Nguyen , author M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.923613Z

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.

Observation 8d6241cd-2df7-4d48-b504-94e0ce28924e · outbound

This paper cites Nguyen , title On connected sublevel sets in deep learning , journal ICML ( year 2019 ) pages 4790–4799.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Nguyen , title On connected sublevel sets in deep learning , journal ICML ( year 2019 ) pages 4790–4799

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.912509Z

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.

Observation 4ccb5560-f661-4d37-9b4a-b1146fb9ea4c · outbound

This paper cites Kawaguchi , title Deep learning without poor local minima , journal NeurIPS ( year 2016 ).

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Kawaguchi , title Deep learning without poor local minima , journal NeurIPS ( year 2016 )

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:26:51.900708Z

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.

Observation 5f080e62-2875-4ffd-8ab3-c7366dee7134 · outbound

This paper cites an unresolved cited work.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:26:51.889377Z

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.

Observation e027b58e-6de1-4f44-a949-80e2e700085a · outbound

This paper cites The Zero Set of a Real Analytic Function.

Uncovering Critical Sets of Deep Neural Networks via Sample-Independent Critical Lifting The Zero Set of a Real Analytic Function

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T20:26:51.822108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.