Paper Citation Record · LEDGER

The Break-Even Point on Optimization Trajectories of Deep Neural Networks

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2002.09572.

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

pith.paper-citation-record.v1
2002.09572 v1

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 2026-08-12T06:34:41.77262+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:26:43.454094Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T02:56:29.475038Z

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 836d0d80-4c5a-441e-ba53-19e71e36882a · inbound

Gradient Descent Converges Linearly to Flatter Minima than Gradient Flow in Shallow Linear Networks cites this paper.

Gradient Descent Converges Linearly to Flatter Minima than Gradient Flow in Shallow Linear Networks The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T20:26:43.454094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cf84440-425f-4b07-9ebf-96c81e38221a · inbound

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability cites this paper.

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-10T13:20:26.375256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ae0a759a-e3d1-4286-b518-e006e3b8598c · inbound

Generalization at the Edge of Stability cites this paper.

Generalization at the Edge of Stability The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-10T02:38:17.394321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 97bd1e6f-cd99-4618-abe9-eb424b44922d · inbound

There Will Be a Scientific Theory of Deep Learning cites this paper.

There Will Be a Scientific Theory of Deep Learning The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 113

Resolution: verified exact; arxiv_id, observed 2026-05-11T15:21:09.127698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f7516ce2-91eb-4742-9f20-7476e596311b · inbound

The Spectral Lifecycle of Transformer Training: Transient Compression Waves, Persistent Spectral Gradients, and the Q/K--V Asymmetry cites this paper.

The Spectral Lifecycle of Transformer Training: Transient Compression Waves, Persistent Spectral Gradients, and the Q/K--V Asymmetry The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-13T20:58:15.679799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 224e3133-eb4b-470f-b08a-b74405f67348 · inbound

Does Weight Decay Enhance Training Stability? cites this paper.

Does Weight Decay Enhance Training Stability? The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-20T19:53:42.954328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 22c3a08f-5f3e-4c5c-8d7e-7d96d717b208 · inbound

Edge of Stability Selectively Shapes Learning Across the Data Distribution cites this paper.

Edge of Stability Selectively Shapes Learning Across the Data Distribution The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-02T02:56:29.476938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ff1d4b52-464e-4c3c-a238-677888512589 · inbound

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay cites this paper.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T08:50:41.552689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5a819b3-65cf-4b6b-914e-3f3421486652 · inbound

A Defense of the Quadratic Model cites this paper.

A Defense of the Quadratic Model The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:09.738474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.