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Paper Citation Record · LEDGER

On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2005.13530.

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

pith.paper-citation-record.v1
2005.13530 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:13:00.129590Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

14
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d0b62bd6-ffdf-4dd8-850b-74bb7f353a30 · inbound

Gradient flow dynamics of shallow ReLU networks for square loss and orthogonal inputs cites this paper.

Gradient flow dynamics of shallow ReLU networks for square loss and orthogonal inputs On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-24T11:29:24.903532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-24T11:27:58.190151Z digest=sha256:24f0c048996f16f42e2c9213ee25bde6271cd2025b376de4d25fea4b2e2617e0

Observation 064d0a4b-9a0b-4ce9-a5ac-6bb0e04fee23 · inbound

Favorability of Loss Landscape with Weight Decay Requires Both Large Overparametrization and Initialization cites this paper.

Favorability of Loss Landscape with Weight Decay Requires Both Large Overparametrization and Initialization On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T13:13:00.129590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:13:00.129590Z digest=sha256:f7ae7b884fe6394570425c9607055eb20cfd5a2322ac3bc8eca8dab10ba393ff

Observation 42fc4b3e-d2e5-4091-8f20-2116a06a05f7 · inbound

Large Spikes in Stochastic Gradient Descent: A Large-Deviations View cites this paper.

Large Spikes in Stochastic Gradient Descent: A Large-Deviations View On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Reference 61

Resolution
verified exact
arxiv_id, observed 2026-05-15T13:30:51.060625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T13:30:04.366752Z digest=sha256:09d2a53e99811634ba162af39c8d051f54322e19e9fcafd413437cfb475575cf

Observation c8280f8c-efcd-4422-a42e-38f12a7dec69 · inbound

On the global convergence of gradient descent for wide shallow models with bounded nonlinearities cites this paper.

On the global convergence of gradient descent for wide shallow models with bounded nonlinearities On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-05-12T03:51:19.329483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-12T03:51:08.871267Z digest=sha256:cadee9a706a799c747a914206804761ce3cff32e040a0ae7d926a488cb47c1de

Observation b523a32e-8bda-4e75-8aa1-6142930be8b0 · inbound

Mildly Overparameterized ReLU Networks on Orthogonal Data: Incremental Learning and Implicit Bias cites this paper.

Mildly Overparameterized ReLU Networks on Orthogonal Data: Incremental Learning and Implicit Bias On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-29T18:53:51.164849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T18:51:45.506520Z digest=sha256:715b352d9d6f3524192994c4562edbfe97808cd349c23fa933112e3b4b534b8c

Observation cb3fdb8b-d009-4e40-8906-3fe3a00384c0 · inbound

Singular perturbations and hierarchical learning in two-layer neural networks cites this paper.

Singular perturbations and hierarchical learning in two-layer neural networks On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Reference 48

Resolution
unresolved
no resolver link, observed 2026-07-14T08:40:30.522134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T08:40:30.522134Z digest=sha256:0311534391b49d7e46d788ebf39b4e447543cc8142feb5981ca5b41cf1926fb2

Observation bfdbe00d-fccb-471e-abf3-1e1d2d311897 · inbound

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method cites this paper.

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-31T01:28:52.356953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T01:28:52.356953Z digest=sha256:d7d53df52743ad9de1325694cee4772203751b935b5e7db94b748b218d942e84