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Paper Citation Record · LEDGER

On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:1808.05671.

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

pith.paper-citation-record.v1
1808.05671 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:47:36.321431Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T20:18:56.227441Z

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 bccefbbd-be4d-4c98-8b61-1ba210c4253f · inbound

Adaptive Federated Optimization cites this paper.

Adaptive Federated Optimization On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 196

Resolution
verified exact
arxiv_id, observed 2026-05-21T10:30:58.754320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T10:30:58.601351Z digest=sha256:110860014b9f93b22cf387bc445331b739e182ddf00e577af359d1a8d63cd178

Observation 08d1e229-8927-4b87-8566-90672bbda644 · inbound

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization cites this paper.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T13:47:36.321431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:47:36.321431Z digest=sha256:1f8590b8e61e3c66338e8165c4d0247730e0e037862d068cfd644600c6f7b94b

Observation 3f164c29-be32-4d24-9a0b-52ed3180529c · inbound

LightSAM: Parameter-Agnostic Sharpness-Aware Minimization cites this paper.

LightSAM: Parameter-Agnostic Sharpness-Aware Minimization On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-07T12:32:07.720112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:32:07.720112Z digest=sha256:cc94936cfc8890e2e5a0dbdd37761b854a5436a6ffd6efc4c89cf37fb6145596

Observation 87c234ca-22bf-4fd3-9933-f7575c503978 · inbound

Unified Scaling Laws for Compressed Representations cites this paper.

Unified Scaling Laws for Compressed Representations On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T11:40:11.956311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:40:11.956311Z digest=sha256:ad3c9722db34b2240f171b9e29151b086fd61991a3141e05d174a6165e8fa22f

Observation 450a164b-d7cd-4752-8a10-00037206b6d5 · inbound

AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates cites this paper.

AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-05T11:25:45.073914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:25:45.073914Z digest=sha256:dacfb1180d0df7ccb4a0d747ff0ee781a674edf0ecaa95107ada04e106622348

Observation d3816d0f-3c14-4be1-a3be-b3d9ca3484b9 · inbound

On the Convergence of Muon and Beyond cites this paper.

On the Convergence of Muon and Beyond On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 54

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T15:56:34.125799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-18T15:56:30.602824Z digest=sha256:3007f9266121549a779e0652cf479f88dca9cabaeb79f530c8cb05ff11ebc005

Observation 99e3d395-1878-45e9-9a30-e3f728ead727 · inbound

Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate cites this paper.

Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:16:00.264734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T16:45:24.402328Z digest=sha256:3ea5d2128e7a97ba1ed512d2d8d3b1f8b878abe9bcb4d890291afc627c976293

Observation 2a3d186c-4a3d-418c-a054-8b6a9f3313a5 · inbound

Why Muon Outperforms Adam: A Curvature Perspective cites this paper.

Why Muon Outperforms Adam: A Curvature Perspective On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 200

Resolution
verified exact
arxiv_id, observed 2026-07-02T07:06:44.983118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-28T07:04:21.012269Z digest=sha256:5aeca1ac8e595d8999a0fa457f8276a5e2c92ed0f6d6597436b684969baa2aae

Observation ec4e2980-1b78-422f-abd2-a03388884ca0 · inbound

Muon Learns More Robust and Transferable Features than Adam cites this paper.

Muon Learns More Robust and Transferable Features than Adam On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-07-03T00:27:30.171233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-27T17:08:30.717799Z digest=sha256:1852f6b09117751cc0b810bf2cb3ec93e0ed6e68d8d7787628e57061ad486faf

Observation 932d527f-7689-4bfb-bd0d-c7d83dabc482 · inbound

MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization cites this paper.

MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 28

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T20:18:56.228895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T01:31:53.550342Z digest=sha256:36fcbff6825e08456bac318df6eea15450b2312b076df2651f7f0275192e62d8

Observation 1b01ec68-af3b-433f-9650-6f3a773a9610 · inbound

FedACT: Federated Adaptive Coordinate Trust Modulation for Robust Transformer Training under Data Heterogeneity cites this paper.

FedACT: Federated Adaptive Coordinate Trust Modulation for Robust Transformer Training under Data Heterogeneity On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 94

Resolution
unresolved
no resolver link, observed 2026-07-12T00:07:55.485589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T00:07:55.485589Z digest=sha256:2f9c39b9470c6209b3425ab1e4a7767ca48fd348336455afc84ca139d9b582b6