Paper Citation Record · LEDGER

Accelerating Proximal Gradient Descent via Silver Stepsizes

As of 14 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2412.05497.

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

pith.paper-citation-record.v1
2412.05497 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:47:10.824909Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:12:21.366099Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:42:49.076703Z

Reference resolution

18 of 18 outbound references displayed

verified exact2
verified fuzzy4
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2dcc94d7-eaf8-4746-9eea-8fa78ef87e72 · outbound

This paper cites 22 ACCELERATINGPROXIMALGRADIENTDESCENT VIASILVERSTEPSIZES ProofThe first equality was proved in Wang et al.

Accelerating Proximal Gradient Descent via Silver Stepsizes 22 ACCELERATINGPROXIMALGRADIENTDESCENT VIASILVERSTEPSIZES ProofThe first equality was proved in Wang et al

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:47:11.917035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c1e0c3c9-312b-4505-95d4-359416f563c9 · outbound

This paper cites The large learning rate phase of deep learning: the catapult mechanism.

Accelerating Proximal Gradient Descent via Silver Stepsizes The large learning rate phase of deep learning: the catapult mechanism

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.553227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5aac3f5-7ab6-4db7-9822-c673fa4e3c85 · outbound

This paper cites Learning Algorithm Hyperparameters for Fast Parametric Convex Optimization.

Accelerating Proximal Gradient Descent via Silver Stepsizes Learning Algorithm Hyperparameters for Fast Parametric Convex Optimization

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.592963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6feb4f10-6f35-4f79-a0a9-b6331406f5ab · outbound

This paper cites Negative Stepsizes Make Gradient-Descent-Ascent Converge.

Accelerating Proximal Gradient Descent via Silver Stepsizes Negative Stepsizes Make Gradient-Descent-Ascent Converge

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.608314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f618102a-2c59-47df-bf8d-7fe0006510e4 · outbound

This paper cites Good regularity creates large learning rate implicit biases: edge of stability, balancing, and catapult.

Accelerating Proximal Gradient Descent via Silver Stepsizes Good regularity creates large learning rate implicit biases: edge of stability, balancing, and catapult

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.657401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 484ca454-bb3d-4bdf-a166-6355a664d228 · outbound

This paper cites Accelerated gradient descent by concatenation of stepsize schedules.

Accelerating Proximal Gradient Descent via Silver Stepsizes Accelerated gradient descent by concatenation of stepsize schedules

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.704808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 215c7906-9322-477f-8824-93b45777a5ea · outbound

This paper cites Anytime Acceleration of Gradient Descent.

Accelerating Proximal Gradient Descent via Silver Stepsizes Anytime Acceleration of Gradient Descent

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.723782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e61a0d3-94f7-40d8-94a9-0775fdc018c0 · outbound

This paper cites Deferred details A.1.

Accelerating Proximal Gradient Descent via Silver Stepsizes Deferred details A.1

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:47:11.986607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a0686457-91d6-4e3c-96a7-664764ae847d · outbound

This paper cites Quadratic form: verification After the preprocessing steps in Appendix B.4, we are ready to prove that the coefficients of the quadratic form match in (6).

Accelerating Proximal Gradient Descent via Silver Stepsizes Quadratic form: verification After the preprocessing steps in Appendix B.4, we are ready to prove that the coefficients of the quadratic form match in (6)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:47:11.882863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation af4ccd6d-6f9e-489f-86dd-3dcb01938e36 · outbound

This paper cites (5) The induction step fromktok+ 1that we prove can be formally stated as follows.

Accelerating Proximal Gradient Descent via Silver Stepsizes (5) The induction step fromktok+ 1that we prove can be formally stated as follows

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:47:11.952917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1bc4c72b-9dd5-4f14-89f4-401b28292ebd · outbound

This paper cites Exact convergence rate of the last iterate in subgradient methods.

Accelerating Proximal Gradient Descent via Silver Stepsizes Exact convergence rate of the last iterate in subgradient methods

Reference 1953

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.686709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81e2add1-7ba1-4c7e-b198-de176ffeb439 · outbound

This paper cites Verification of First-Order Methods for Parametric Quadratic Optimization.

Accelerating Proximal Gradient Descent via Silver Stepsizes Verification of First-Order Methods for Parametric Quadratic Optimization

Reference 1987

Resolution: verified exact; local_arxiv, observed 2026-08-11T20:47:11.302713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 49f8d6d7-23be-4a0e-bf5e-0df99f724b0a · outbound

This paper cites Gradient descent with adaptive stepsize converges (nearly) linearly under fourth-order growth.arXiv preprint arXiv:2409.19791,.

Accelerating Proximal Gradient Descent via Silver Stepsizes Gradient descent with adaptive stepsize converges (nearly) linearly under fourth-order growth.arXiv preprint arXiv:2409.19791,

Reference 2004

Resolution: verified exact; raw_fallback, observed 2026-08-11T20:47:11.806233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b9763b1b-47b1-4cb8-a3c1-d7679503339f · outbound

This paper cites Relaxed Proximal Point Algorithm: Tight Complexity Bounds and Acceleration without Momentum.

Accelerating Proximal Gradient Descent via Silver Stepsizes Relaxed Proximal Point Algorithm: Tight Complexity Bounds and Acceleration without Momentum

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.629904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94a60ab8-3d89-4b85-a08e-4d9cd8633081 · outbound

This paper cites an unresolved cited work.

Accelerating Proximal Gradient Descent via Silver Stepsizes Unresolved cited work

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.530804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 649ede97-f7bf-4b2e-a34c-0c62e9e3b428 · outbound

This paper cites Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule.

Accelerating Proximal Gradient Descent via Silver Stepsizes Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.470533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75d545a3-2b0f-43dc-88ec-8a43855d351e · outbound

This paper cites an unresolved cited work.

Accelerating Proximal Gradient Descent via Silver Stepsizes Unresolved cited work

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.518333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd7fcb9d-78a9-4c5b-a3de-ecbdc1818b4c · outbound

This paper cites Accelerated Gradient Descent via Long Steps.

Accelerating Proximal Gradient Descent via Silver Stepsizes Accelerated Gradient Descent via Long Steps

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-11T20:47:10.509472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 1991d30f-5f2d-4f65-aa93-e785403edb00 · inbound

Finite Horizon Optimization: Framework and Applications cites this paper.

Finite Horizon Optimization: Framework and Applications Accelerating Proximal Gradient Descent via Silver Stepsizes

Reference 2008

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:21.366099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 625a377f-86a5-41ea-b0dd-e7e1eefcc10a · inbound

Optimized methods for composite optimization: a reduction perspective cites this paper.

Optimized methods for composite optimization: a reduction perspective Accelerating Proximal Gradient Descent via Silver Stepsizes

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:42:49.130869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.