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Paper Citation Record · LEDGER

SGD Converges to Global Minimum in Deep Learning via Star-convex Path

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1901.00451.

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

pith.paper-citation-record.v1
1901.00451 v1

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 2026-08-06T06:34:29.942622+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T04:33:10.554853Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T17:08:43.656388Z

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 23fc618c-3eb2-4735-88f4-68569a925af2 · inbound

Path Regularization: A Near-Complete and Optimal Nonasymptotic Generalization Theory for Multilayer Neural Networks and Double Descent Phenomenon cites this paper.

Path Regularization: A Near-Complete and Optimal Nonasymptotic Generalization Theory for Multilayer Neural Networks and Double Descent Phenomenon SGD Converges to Global Minimum in Deep Learning via Star-convex Path

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-05-23T01:05:16.097192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T01:03:39.897679Z digest=sha256:106774e135f8d8d2abde80928f3caa11cb542221245552b3c7b3a90aba7806ce

Observation d8414747-005b-4e89-85b0-5e966fccb4c2 · inbound

On the Convergence Analysis of Muon cites this paper.

On the Convergence Analysis of Muon SGD Converges to Global Minimum in Deep Learning via Star-convex Path

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-05-19T13:22:19.100758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T13:19:37.035526Z digest=sha256:0fbb331bac6d83ce68f00196edc046108b3482f5731abf2795abdb62394514a6

Observation 0e0584b0-1d76-4bdb-81f9-1890ccd448a9 · inbound

Stochastic Trust-Region Methods for Over-parameterized Models cites this paper.

Stochastic Trust-Region Methods for Over-parameterized Models SGD Converges to Global Minimum in Deep Learning via Star-convex Path

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-11T11:51:00.897853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T12:32:32.628692Z digest=sha256:35b7513ca76c9667aaefe25738676b59b3e9d4a04764958d2b14d7c1ad325eb5

Observation 12a50de9-a4b4-4d02-8195-77d554d981aa · inbound

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients cites this paper.

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients SGD Converges to Global Minimum in Deep Learning via Star-convex Path

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-05-19T15:17:39.232168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T15:17:01.028675Z digest=sha256:00d63bda69450a5ac039e9c760b3d311c07031baa0f1be8fc03742cac4403f1c

Observation fa4142f4-1264-4abf-b1dc-27d5133953ce · inbound

Zero-order Parameter-free Optimization for LMO-based Methods: Novel Approach for Efficient Fine-tuning cites this paper.

Zero-order Parameter-free Optimization for LMO-based Methods: Novel Approach for Efficient Fine-tuning SGD Converges to Global Minimum in Deep Learning via Star-convex Path

Reference 86

Resolution
verified exact
local_arxiv, observed 2026-07-03T17:08:43.657832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T04:33:10.554853Z digest=sha256:f1ab3a47fbfbc51a8d8fc65eca8e29c33083d91cbc26aad7e3fa6e5bf65d118d