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Paper Citation Record · LEDGER

On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1902.04811.

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

pith.paper-citation-record.v1
1902.04811 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:47:24.843115Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T07:36:45.174590Z

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 1dd7419e-d602-486b-91bf-1021caae4a54 · inbound

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate cites this paper.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-25T10:25:38.607286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-25T10:24:33.527480Z digest=sha256:00081fd9da434770234198fc6e5f375bdfaf88b500d9d54bcc43578d815ab8dd

Observation 2f123d49-9a9a-4cf4-9cc6-d8625eafd6d8 · inbound

Distributed Learning in Non-Convex Environments -- Part II: Polynomial Escape from Saddle-Points cites this paper.

Distributed Learning in Non-Convex Environments -- Part II: Polynomial Escape from Saddle-Points On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-25T09:55:36.558456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-25T09:52:34.427619Z digest=sha256:0b0f6f0a1471230178f74288d6998e1ac720f7fcd68b0ac19d99545e4bbfd097

Observation 0ba4b784-de7f-4123-84e1-5d03894fab8a · inbound

Distributed Stochastic Gradient Method for Non-Convex Problems with Applications in Supervised Learning cites this paper.

Distributed Stochastic Gradient Method for Non-Convex Problems with Applications in Supervised Learning On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-14T12:47:24.843115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:47:24.843115Z digest=sha256:1e661ba28e3d9e2b7e4084c066fa84417eeefa91dc6909b5be1d0daa9c0021a4

Observation 225efb58-aadc-4cae-98ad-130710dfabd3 · inbound

Second-Order Guarantees of Stochastic Gradient Descent in Non-Convex Optimization cites this paper.

Second-Order Guarantees of Stochastic Gradient Descent in Non-Convex Optimization On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T12:38:57.556595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:38:57.556595Z digest=sha256:3ba84f8939bc6324d431b52423cd449f556bb18da7c495a86064ae2c0510d47b

Observation 28ebbe59-f608-4d49-b083-eabef028782a · inbound

Learning from Limited and Imperfect Data cites this paper.

Learning from Limited and Imperfect Data On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 123

Resolution
unresolved
no resolver link, observed 2026-08-06T13:09:59.968238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:09:59.968238Z digest=sha256:6a882e7d264438ff8600493e7701974d41755fb1dd02f0b5637c1e07a75b292d

Observation 251df33f-3283-40a0-903c-faf888aaccea · inbound

Globally aware optimization with resurgence cites this paper.

Globally aware optimization with resurgence On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-05T12:46:30.602557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:46:30.602557Z digest=sha256:0396f85478e63ee81b3b6ecc618d4cd6a535a1a554af34c724403f7963dc6dcb

Observation 824e1e3a-0fd3-407f-acec-4679c98c48a6 · inbound

Convergence of difference inclusions: a diameter criterion and step-size conditions cites this paper.

Convergence of difference inclusions: a diameter criterion and step-size conditions On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 291

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T02:23:31.781196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-15T02:21:30.228735Z digest=sha256:d0c5717a9792c1b03e77916c876541b10a7fb49459d519ecf0ea30ca03cd1a57

Observation c25847ea-ec12-4c43-ab3d-d04b28236c62 · inbound

Sharp First-Order Lower Bounds for Higher-Order Smooth Nonconvex Optimization cites this paper.

Sharp First-Order Lower Bounds for Higher-Order Smooth Nonconvex Optimization On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-07-02T07:36:45.176067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-28T06:50:05.151386Z digest=sha256:55a2d15c1a4caf6d181d62b7a0c3068194b28c1a86e60470621408f0ad23e8a9

Observation c5d90958-7f30-458b-9759-e8ee34f882d9 · inbound

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework cites this paper.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-08T04:30:36.947932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T04:30:36.947932Z digest=sha256:e0127cb3a5e60d34553105fd0b54f0ed5a51cdaed64ac5e680af03f269b61c55