Paper Citation Record · LEDGER

Analysis of Schedule-Free Nonconvex Optimization

As of 7 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2508.06743.

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

pith.paper-citation-record.v1
2508.06743 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:42:10.459058Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-17T23:17:34.914457Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T23:20:27.667990Z

Reference resolution

25 of 25 outbound references displayed

verified exact1
verified fuzzy17
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c174d28-5204-429b-8e06-55475cc841e2 · outbound

This paper cites The Road Less Scheduled.

Analysis of Schedule-Free Nonconvex Optimization The Road Less Scheduled

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T22:42:10.351490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 204e771a-3955-4182-8db3-301375f53f8c · outbound

This paper cites Performance of First-Order Methods for Convex Optimization.

Analysis of Schedule-Free Nonconvex Optimization Performance of First-Order Methods for Convex Optimization

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.869449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation bf168f9e-13c9-43fb-b419-c652be9c1e35 · outbound

This paper cites Robust stochastic approximation approach to stochastic program- ming.

Analysis of Schedule-Free Nonconvex Optimization Robust stochastic approximation approach to stochastic program- ming

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.855544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 906d3922-b179-46f5-b835-4ad870015411 · outbound

This paper cites Stochastic first- and zeroth-order methods for nonconvex stochastic programming.

Analysis of Schedule-Free Nonconvex Optimization Stochastic first- and zeroth-order methods for nonconvex stochastic programming

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.841807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation eddac4b6-1d4d-4824-9c8c-b109e1b7f98d · outbound

This paper cites Stochastic gradient descent for nonconvex learning without variance reduction.

Analysis of Schedule-Free Nonconvex Optimization Stochastic gradient descent for nonconvex learning without variance reduction

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.827870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0bf5a05c-34dc-41ab-964b-56e3edb7e14a · outbound

This paper cites New Stochastic Approximation Type Procedures.

Analysis of Schedule-Free Nonconvex Optimization New Stochastic Approximation Type Procedures

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.813532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9e340d0e-8a6a-4226-b2c3-2477de25c85b · outbound

This paper cites Acceleration of Stochastic Approximation by Averaging.

Analysis of Schedule-Free Nonconvex Optimization Acceleration of Stochastic Approximation by Averaging

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.798575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 26b5e73a-756f-438c-b407-8cd4ba3499c0 · outbound

This paper cites Efficient Estimations from a Slowly Convergent Robbins-Monro Process.

Analysis of Schedule-Free Nonconvex Optimization Efficient Estimations from a Slowly Convergent Robbins-Monro Process

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.784777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3319ad9c-3986-4ebd-a358-a586468ca060 · outbound

This paper cites General framework for online-to-nonconvex conversion: Schedule-free SGD is also effective for nonconvex optimization.

Analysis of Schedule-Free Nonconvex Optimization General framework for online-to-nonconvex conversion: Schedule-free SGD is also effective for nonconvex optimization

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T22:42:10.388011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc9799cb-bcf8-4c22-a8fe-20fe0a3f376b · outbound

This paper cites Non-Asymptotic Analysis of Stochastic Approximation Algorithms for Machine Learning.

Analysis of Schedule-Free Nonconvex Optimization Non-Asymptotic Analysis of Stochastic Approximation Algorithms for Machine Learning

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.770956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 77b9272e-d2fc-45c4-affb-f6e6e601227c · outbound

This paper cites Making gradient descent optimal for strongly convex stochastic optimization.

Analysis of Schedule-Free Nonconvex Optimization Making gradient descent optimal for strongly convex stochastic optimization

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.756585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 79b7dd9b-f4a5-4457-a2c6-fbaf7ed5a75c · outbound

This paper cites Optimal Non-Asymptotic Bound of the Ruppert–Polyak Averaging without Strong Convexity.

Analysis of Schedule-Free Nonconvex Optimization Optimal Non-Asymptotic Bound of the Ruppert–Polyak Averaging without Strong Convexity

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.741461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 02e29999-abb2-4e8a-9ab1-67737833cc57 · outbound

This paper cites Momentum via Primal Averaging: Theoretical Insights and Learning Rate Schedules for Non-Convex Optimization.

Analysis of Schedule-Free Nonconvex Optimization Momentum via Primal Averaging: Theoretical Insights and Learning Rate Schedules for Non-Convex Optimization

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T22:42:10.405053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 722c7471-74f2-4ab3-9df0-45fd7e08450f · outbound

This paper cites An Improved Analysis of Stochastic Gradient Descent with Momentum.

Analysis of Schedule-Free Nonconvex Optimization An Improved Analysis of Stochastic Gradient Descent with Momentum

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T22:42:10.411689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aaef8263-9842-4fa4-ad36-f3674659166c · outbound

This paper cites Global convergence of the Heavy-ball method for convex optimization.

Analysis of Schedule-Free Nonconvex Optimization Global convergence of the Heavy-ball method for convex optimization

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:42:10.520468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d61405bf-8308-4047-af51-fc95021bc370 · outbound

This paper cites Exact Worst-Case Performance of First-Order Methods for Composite Convex Optimization.

Analysis of Schedule-Free Nonconvex Optimization Exact Worst-Case Performance of First-Order Methods for Composite Convex Optimization

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.725917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5be2d11e-2a6f-4adc-9a55-ecd5895c6ebc · outbound

This paper cites Exact Worst-case Performance of First-Order Methods for Smooth Convex Optimization.

Analysis of Schedule-Free Nonconvex Optimization Exact Worst-case Performance of First-Order Methods for Smooth Convex Optimization

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.710081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d3931d19-0e5a-495e-a158-f65bc455e346 · outbound

This paper cites Introductory Lectures on Convex Optimization: A Basic Course.

Analysis of Schedule-Free Nonconvex Optimization Introductory Lectures on Convex Optimization: A Basic Course

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.694530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 91604a6f-a82d-4428-9dad-7a19b3b2e96c · outbound

This paper cites Smooth Strongly Convex Interpolation and Exact Worst-case Perfor- mance of First-order Methods.

Analysis of Schedule-Free Nonconvex Optimization Smooth Strongly Convex Interpolation and Exact Worst-case Perfor- mance of First-order Methods

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.678461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9d689c9a-4c32-4724-8b0d-ddde1350bdfe · outbound

This paper cites Stochastic Performance Esti- mation Problem: Tight Convergence Guarantees for Stochastic Gradient Methods.

Analysis of Schedule-Free Nonconvex Optimization Stochastic Performance Esti- mation Problem: Tight Convergence Guarantees for Stochastic Gradient Methods

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.661525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0cebab8b-24e0-42b3-befc-7f23fe1342a1 · outbound

This paper cites On worst-case analyses for first-order optimization methods.

Analysis of Schedule-Free Nonconvex Optimization On worst-case analyses for first-order optimization methods

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.646197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 25ab7824-863b-428a-92a9-768cb60b62eb · outbound

This paper cites Scaling Laws and Compute-Optimal Training Beyond Fixed Training Durations.

Analysis of Schedule-Free Nonconvex Optimization Scaling Laws and Compute-Optimal Training Beyond Fixed Training Durations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T22:42:10.446190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51daeb0a-fad2-4d14-8c9d-e88444d878a7 · outbound

This paper cites an unresolved cited work.

Analysis of Schedule-Free Nonconvex Optimization Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:42:10.631185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation eb397e76-cf2f-4253-8034-6157e7e91859 · outbound

This paper cites an unresolved cited work.

Analysis of Schedule-Free Nonconvex Optimization Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:42:10.616121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 1d4dcff6-d1ad-4f01-bde6-b5aa4bff6e9e · outbound

This paper cites O M P _ N U M _ T H R E A D S.

Analysis of Schedule-Free Nonconvex Optimization O M P _ N U M _ T H R E A D S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:42:10.599414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

Observation 0cb2a3a8-a1f6-4130-a392-df937fbdb7af · inbound

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

Taking the Road Less Scheduled with Adaptive Polyak Steps Analysis of Schedule-Free Nonconvex Optimization

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-17T23:20:27.670616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.