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Paper Citation Record · LEDGER

Optimal Linear Decay Learning Rate Schedules and Further Refinements

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2310.07831.

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

pith.paper-citation-record.v1
2310.07831 v2

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 2026-08-06T14:49:40.192955Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T07:14:21.713475Z

Reference resolution

0 of 0 outbound references displayed

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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 9f23933e-377f-4d5a-812e-ac93845b4613 · inbound

WSM: Decay-Free Learning Rate Schedule via Checkpoint Merging for LLM Pre-training cites this paper.

WSM: Decay-Free Learning Rate Schedule via Checkpoint Merging for LLM Pre-training Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T14:49:40.192955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T14:49:40.192955Z digest=sha256:94f50a26ac1343d81faa825b04b1a82ac319a23dd41a3c4c28146db48d26adf2

Observation e1bde069-6bd4-47e7-9f02-85ea680d3b84 · inbound

Why Do We Need Warm-up? A Theoretical Perspective cites this paper.

Why Do We Need Warm-up? A Theoretical Perspective Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T12:38:53.947945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T12:38:53.947945Z digest=sha256:9de83b4960c2fec7cf6a1cd328a0d269f4fda18af54a19f6ffd5568555478fbc

Observation 40131a86-20e5-4a41-9aeb-9c4b91d16687 · inbound

Taking the Road Less Scheduled with Adaptive Polyak Steps cites this paper.

Taking the Road Less Scheduled with Adaptive Polyak Steps Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-17T23:20:27.656986Z

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=2026-05-17T23:17:34.914457Z digest=sha256:046e4c9bc9e17b46db44b52f2b68cc27770977275f51352e4210cfee14585303

Observation f60ddd8b-d932-4e81-a9ec-c3c47d29622a · inbound

Theory of Optimal Learning Rate Schedules and Scaling Laws for a Random Feature Model cites this paper.

Theory of Optimal Learning Rate Schedules and Scaling Laws for a Random Feature Model Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 5

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verified exact
arxiv_id, observed 2026-05-16T07:00:43.262655Z

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=2026-05-16T06:58:38.927268Z digest=sha256:bb4d57e81bdb9cddfed0fc3602233ab7d1b432112de355c83281e5cba0f5754d

Observation d549f276-269b-45cf-8ffb-36afbc859bcf · inbound

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective cites this paper.

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 2023

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unresolved
no resolver link, observed 2026-08-03T02:53:13.970167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:53:13.970167Z digest=sha256:97c50b1d0264b28896845cd00eecee70d05d26af2b21732465d38d0bdfc3adc6

Observation f0041dc8-2c60-4c68-8c1b-e41d9ea4bf8c · inbound

Sharp asymptotic theory for Q-learning with LDTZ learning rate and its generalization cites this paper.

Sharp asymptotic theory for Q-learning with LDTZ learning rate and its generalization Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-13T10:46:25.335756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T10:46:25.335756Z digest=sha256:142afa27f46c1b6591779fa40ec6330c5bf5433177bb8794d7dafae56707dbc6

Observation 82f4e79e-7779-4d0c-b7c1-9e55dab96168 · inbound

Last Iterate Convergence of AdaGrad-Norm for Convex Non-Smooth Optimization cites this paper.

Last Iterate Convergence of AdaGrad-Norm for Convex Non-Smooth Optimization Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:56:03.779246Z

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=2026-05-10T15:44:30.926534Z digest=sha256:1372d888aa05c78df6dc47667fc71bb4c3062a6a53d0078e07c547a959918ac8

Observation 4adff2a0-c155-4c90-ade2-2dcebe730663 · inbound

A Closed-Form Upper Bound for Admissible Learning-Rate Steps in Belief-Space Dynamics cites this paper.

A Closed-Form Upper Bound for Admissible Learning-Rate Steps in Belief-Space Dynamics Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-11T04:35:58.426025Z

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=2026-05-11T01:13:56.995359Z digest=sha256:1a730b3dd3d3a1c7562c3f6a8a2c6039df35b79e51b03cde1e971187e2aae70f

Observation cc136043-ff94-48e6-9731-ae2c3cc8bc53 · inbound

Convergence of Continual Learning in Homogeneous Deep Networks cites this paper.

Convergence of Continual Learning in Homogeneous Deep Networks Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-06-30T07:14:21.715842Z

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=2026-06-30T07:05:09.767632Z digest=sha256:eab7881e9f991ab8ab3145d3405001419981ce16edd1836f71f8595c66245b5b

Observation 60eb9750-6b4d-457b-8c2b-930d7bb930a8 · inbound

WSqD: A Horizon-Free Learning Rate Schedule for Large Model Training cites this paper.

WSqD: A Horizon-Free Learning Rate Schedule for Large Model Training Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-14T08:04:06.432613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T08:04:06.432613Z digest=sha256:df8362cbec4ef843df3de45f1953e0d813b9bfc9a477a9adacce0bb0a56e3bad

Observation f4858053-ce37-48fa-b1b5-459c374f517f · inbound

A Defense of the Quadratic Model cites this paper.

A Defense of the Quadratic Model Optimal Linear Decay Learning Rate Schedules and Further Refinements

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-01T06:58:10.540455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:58:10.540455Z digest=sha256:2d55beffda36e8cde9720629bf8ab68683c7acde66c5acfb5a652d9ffcd2c89f