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Paper Citation Record · LEDGER

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective

As of 9 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2602.09842.

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

pith.paper-citation-record.v1
2602.09842 v2

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:53:14.320880Z

measured 6 of 6 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9df65623-af29-44e3-ace8-0f58e199e396 · outbound

This paper cites Training Neural Networks for and by Interpolation.

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective Training Neural Networks for and by Interpolation

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T02:53:10.820684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:53:10.820684Z digest=sha256:59ef753b23c50093081d842ba5884e8e3f98393fc15d28e9bd2d6780ce0c0dd2

Observation a3b07f4c-9d8a-4e47-8df1-2676af991cdb · outbound

This paper cites Since Ψt =f(x t, st)−δ SPS t we have from the above thatδ SPS t =τ t[1− τt 2αt ]∥gt∥2.

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective Since Ψt =f(x t, st)−δ SPS t we have from the above thatδ SPS t =τ t[1− τt 2αt ]∥gt∥2

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T02:53:14.320880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:53:14.320880Z digest=sha256:e159b06ab1e73586cc9d9ed0f5cec4727ffc255e07f84c19f2cf4dc66625ef4d

Observation 3dd76a96-268b-4973-9066-a483d8cf05fc · outbound

This paper cites Tyrrell Rockafellar.

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective Tyrrell Rockafellar

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T02:53:14.198206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:53:14.198206Z digest=sha256:89bf374774c9f203c2edfab92c427de5af5749d2ffc95f6b712efa94c77c5412

Observation de1154c0-b454-4c04-90d2-9af8baf63ab0 · outbound

This paper cites an unresolved cited work.

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective Unresolved cited work

Reference 1983

Resolution
unresolved
no resolver link, observed 2026-08-03T02:53:13.859167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:53:13.859167Z digest=sha256:503fb27295d739dc61207ac56809dfd4ef44b083e9a3daac1453f7a2ca5d6ab6

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

This paper cites Optimal Linear Decay Learning Rate Schedules and Further Refinements.

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

Reference 2023

Resolution
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 56c3f6fe-b240-47c3-a073-bbb6020c755e · outbound

This paper cites Handbook of Convergence Theorems for (Stochastic) Gradient Methods.

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective Handbook of Convergence Theorems for (Stochastic) Gradient Methods

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-03T02:53:14.060774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:53:14.060774Z digest=sha256:d83606f158932d8c4899145ccfb31bb6aac1793d7b8c328e32f0d4f363068600

Pith citing papers

No inbound Pith citation observations are available.