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Paper Citation Record · LEDGER

On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-21T10:30:58.601351Z digest=sha256:fd74f290fcd9bb09cf41060b50e3560c17d1c775f85457d3a4c48d73929e71c6

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=sha256:3f954ba5fee20f4e07c825614eec21d0d5e982c1f788dd3030577ae293fbb643

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=sha256:7e2f39e470162229f6cdac61dcd2ae7aca0cd16c5ea7093c32d42718e72feb06

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-18T15:56:30.602824Z digest=sha256:8057f3807a434c3c516f080aa0a56d318c7608e16d666f96cade8ae706d5c137

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T16:45:24.402328Z digest=sha256:b7b797296fd9995de7a4e95770a87d2cc822fe588b58445237c10dfbb2fcba3e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-28T07:04:21.012269Z digest=sha256:9e89872273d453a2a02359584c7d868515ea79b080b3fe999eb170c36cd5979c

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-27T17:08:30.717799Z digest=sha256:203c6df20a5857d8f76c386874a02ecbe61ace5b9fc2c1b9ce5ef728be710326

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-27T01:31:53.550342Z digest=sha256:0d94dc3d3dc7e2fedbbe165c45a2b793ce7ecf28d618a6f5019335a2d7a47256

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