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Paper Citation Record · LEDGER

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions

As of 17 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2507.21429.

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

pith.paper-citation-record.v1
2507.21429 v3

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:54:27.250266Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy1
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7bd1421d-425e-4fe9-a3eb-02271b6789df · outbound

This paper cites Convergence of stochastic gradient descent under a local Lojasiewicz condition for deep neural networks.

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions Convergence of stochastic gradient descent under a local Lojasiewicz condition for deep neural networks

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T12:54:27.745138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:54:26.833128Z digest=sha256:809c473ccde38d0437f2bdf0213859c4214fbe61e812cd4543a537c949df9fdd

Observation 4cfd6cda-7d1f-4e0a-8101-2706abd67d91 · outbound

This paper cites Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs.

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs

Reference 2015

Resolution
unresolved
no resolver link, observed 2026-08-06T12:54:27.036188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:54:27.036188Z digest=sha256:83fb0d0f44442dbe1c5d8a5cc4e11bba0a223cc14c02163bb30918721d3f80a3

Observation 3b98e063-c750-4aa8-8b13-bd1c61a89abd · outbound

This paper cites The loss surfaces of multilayer networks.

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions The loss surfaces of multilayer networks

Reference 2019

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:54:27.954095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:54:26.941273Z digest=sha256:6d194123163a6eda92ee9828a7da11fe2a009fd40fa26bf1c1d57796ff0ce2fe

Observation 2417a37b-c515-41b6-8309-b566c4d6ce47 · outbound

This paper cites Henning Petzka and Cristian Sminchisescu.

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions Henning Petzka and Cristian Sminchisescu

Reference 2020

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T12:54:27.508902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:54:27.250266Z digest=sha256:1fc2aba69e8506913b9ce7b545ab3a97ac91bb7b14489c3d5d4e6971720f9b00

Observation 683d7d39-c335-4783-a430-06c21377307e · outbound

This paper cites Loss landscapes and optimization in over-parameterized non-linear systems and neural networks.

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions Loss landscapes and optimization in over-parameterized non-linear systems and neural networks

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-06T12:54:27.132187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:54:27.132187Z digest=sha256:88b4943ce2e12552637f452ecd971f9f559e0459ba3f703cf88523cdb8dc1388

Observation 2a042ffd-a905-467b-99f1-12bb78a9427f · outbound

This paper cites Zeyuan Allen-Zhu, Yuanzhi Li, and Zhao Song.

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions Zeyuan Allen-Zhu, Yuanzhi Li, and Zhao Song

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-06T12:54:26.772708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:54:26.772708Z digest=sha256:c091bd7c4a07cd3b0a05a67d1a75c7c4909ebe443fe7504eb2097069b0a0b7ca

Pith citing papers

No inbound Pith citation observations are available.