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Paper Citation Record · LEDGER

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule

As of 12 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 3 inbound Pith citation observations for arXiv:2412.05790.

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

pith.paper-citation-record.v1
2412.05790 v2

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:34:16.996302Z

measured 66 of 66 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:47:10.470533Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:20:14.111520Z

Reference resolution

63 of 63 outbound references displayed

  • verified exact0
  • verified fuzzy48
  • unresolved15
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation be057036-e984-4699-bb58-d0c2e7cdfd36 · outbound

This paper cites Acceleration via fractal learning rate schedules.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Acceleration via fractal learning rate schedules

Reference 1

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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.

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Observation 736cfe16-211b-4212-8f50-77dc1f8f388e · outbound

This paper cites Altschuler.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Altschuler

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.678859Z digest=sha256:2ef271f1dbfe9c4e118cf38eb746465340afe229b23ac6e0650311ab48d9355c

Observation 230ed3d8-fd9c-4b25-a546-7a820f36d383 · outbound

This paper cites Acceleration by Stepsize Hedging I: Multi-Step Descent and the Silver Stepsize Schedule.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Acceleration by Stepsize Hedging I: Multi-Step Descent and the Silver Stepsize Schedule

Reference 3

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no resolver link, observed 2026-08-11T20:34:16.683221Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T20:34:16.683221Z digest=sha256:4502e15e3f29112090553dfb0a30dbe6ae867b32c7c0b3cc2c308472489c92c4

Observation c8db47f2-fdf5-404e-a443-46f47b88f71b · outbound

This paper cites Acceleration by Stepsize Hedging: Silver Stepsize Schedule for Smooth Convex Optimization.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Acceleration by Stepsize Hedging: Silver Stepsize Schedule for Smooth Convex Optimization

Reference 4

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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.

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Observation a4f82f52-fbf5-4fa7-ad97-eda6f3641b99 · outbound

This paper cites Two-point step size gradient methods.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Two-point step size gradient methods

Reference 5

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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.

source=pdf_text observed=2026-08-11T20:34:16.697913Z digest=sha256:6910451a4d5269eeda1e74b19152de39bb32d27ad2776f407716ca9812c2450f

Observation 1ffe8f28-63f2-4772-8c7b-2896eff6d509 · outbound

This paper cites Bertsekas.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Bertsekas

Reference 6

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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.

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Observation 00c0d1ac-66a2-4001-b222-6d92a7919d65 · outbound

This paper cites Matrix analysis , volume 169.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Matrix analysis , volume 169

Reference 7

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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.

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Observation f21a5e48-9882-46f3-adba-536ec5413229 · outbound

This paper cites Altschuler.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Altschuler

Reference 8

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raw_fallback, observed 2026-08-11T20:34:18.070260Z

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.

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Observation 3b82ef02-8b2d-4a00-9c85-9ee394b4330f · outbound

This paper cites Convex optimization.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convex optimization

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.715720Z digest=sha256:991947265e35adc970fff6ab739661159e3ec04be1a32823cf4f2bcdc954e717

Observation 6d5ca98d-7da8-4b9a-85f5-31024cee098f · outbound

This paper cites Convex optimization: Algorithms and complexity.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convex optimization: Algorithms and complexity

Reference 10

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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.

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Observation e01cadef-f6eb-49b3-a739-6283cc59e36d · outbound

This paper cites A geometric alternative to Nesterov's accelerated gradient descent.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule A geometric alternative to Nesterov's accelerated gradient descent

Reference 11

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Unavailable: canonical work link unavailable.

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Observation 4958ff8e-6475-4d30-bc9e-99efea4d1fdf · outbound

This paper cites Performance estimation of the gradient method with fixed arbitrary step sizes.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Performance estimation of the gradient method with fixed arbitrary step sizes

Reference 12

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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.

source=pdf_text observed=2026-08-11T20:34:16.734001Z digest=sha256:b0819c7025169f5cab6307ca3a8f0fcb8f14e02b1fce590742ec8320c1fff5cc

Observation cd328317-a09d-4977-bc23-5de4ddca48b0 · outbound

This paper cites Branch-and-bound performance estima- tion programming: a unified methodology for constructing optimal optimization methods.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Branch-and-bound performance estima- tion programming: a unified methodology for constructing optimal optimization methods

Reference 13

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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.

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Observation c5d54edf-57bb-4033-a259-498110414f4c · outbound

This paper cites Smooth optimization with approximate gradient.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Smooth optimization with approximate gradient

Reference 14

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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.

source=pdf_text observed=2026-08-11T20:34:16.743199Z digest=sha256:012e01ee5ccc14c8b87bddd617c202fb3dc45d7b3358a6f2a5138a0919d9e884

Observation 2810a660-c5aa-4f03-bdbd-cd66e2be3475 · outbound

This paper cites On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions.Optimization Letters, 11:1185–1199, 2017.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions.Optimization Letters, 11:1185–1199, 2017

Reference 15

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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.

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Observation 1b452e84-038d-42b1-a6da-8c59e6170864 · outbound

This paper cites Worst-case convergence analysis of inex- act gradient and Newton methods through semidefinite programming performance estimation.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Worst-case convergence analysis of inex- act gradient and Newton methods through semidefinite programming performance estimation

Reference 16

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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.

source=pdf_text observed=2026-08-11T20:34:16.752654Z digest=sha256:d81b3de8cb29a5ed4de2a931cd9481100d8df6d75046289b19c68d24c965291f

Observation 026aef0c-e0f1-4a84-a01c-28ecd6e6d265 · outbound

This paper cites Large deviations techniques and applications.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Large deviations techniques and applications

Reference 17

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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.

source=pdf_text observed=2026-08-11T20:34:16.760644Z digest=sha256:ce378255c6a3efa8bd6599a41c7f567a6aa211340d7236dd41eaae54f486ddaf

Observation afc705cf-4060-4eba-bc75-5c87bcf6d072 · outbound

This paper cites First-order methods of smooth convex opti- mization with inexact oracle.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule First-order methods of smooth convex opti- mization with inexact oracle

Reference 18

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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.

source=pdf_text observed=2026-08-11T20:34:16.763960Z digest=sha256:2209eb9952151da9c76a2810ab0a2f291c3c1c4c598fefe4679bd2062b68d8ca

Observation 4b2001ce-58ff-4a5c-b2ad-ac179f30d097 · outbound

This paper cites From potential theory to matrix iterations in six steps.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule From potential theory to matrix iterations in six steps

Reference 19

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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.

source=pdf_text observed=2026-08-11T20:34:16.769216Z digest=sha256:1a0a238846b87a7b4e2bd5ed8e7e29631d306fc618f5107a9e2329beb9785817

Observation 66eee1d3-d730-47a6-9bf7-61ee4a1f7c2f · outbound

This paper cites Performance of first-order methods for smooth convex minimization: a novel approach.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Performance of first-order methods for smooth convex minimization: a novel approach

Reference 20

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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.

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Observation e76f824c-15a7-4a3c-aa16-ac2563e2080f · outbound

This paper cites An optimal first order method based on optimal quadratic averaging.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule An optimal first order method based on optimal quadratic averaging

Reference 21

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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.

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Observation 32b06176-26c2-46ce-9ef3-5b885847f83e · outbound

This paper cites Acceleration methods.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Acceleration methods

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.782112Z digest=sha256:3a9fa9782feb07000fcd8a2f5c83f6fe85865adbe05fddc829825b594a2c5aa2

Observation 7612cb85-d66c-4551-9743-9e199a65d0c1 · outbound

This paper cites Worst-case functions for the gradient method with fixed variable step sizes.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Worst-case functions for the gradient method with fixed variable step sizes

Reference 23

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

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Observation e922e9d9-8bcc-48e2-8422-970e8700c4a0 · outbound

This paper cites Super- acceleration with cyclical step-sizes.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Super- acceleration with cyclical step-sizes

Reference 24

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

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Observation a6d9978b-a9ce-4fbe-be98-452059734918 · outbound

This paper cites Table of integrals, series, and products.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Table of integrals, series, and products

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.795460Z digest=sha256:2f3abb526c752683366b9378bf3241b9a4455da7ad733c84fc4d6c2b64708bae

Observation 705423d3-5639-4af9-9673-3a51305c8d7d · outbound

This paper cites Provably faster gradient descent via long steps.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Provably faster gradient descent via long steps

Reference 26

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raw_fallback, observed 2026-08-11T20:34:17.838319Z

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.

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Observation c5a216e2-315f-4d90-affe-c46e7e975587 · outbound

This paper cites Accelerated Gradient Descent via Long Steps.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Accelerated Gradient Descent via Long Steps

Reference 27

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no resolver link, observed 2026-08-11T20:34:16.802834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.802834Z digest=sha256:dd315b4b2392871820a9e9bb779a528b526c7e7bacc68f55a3a62ee0f29db3fc

Observation 13b6b41d-f75a-4f22-aa3a-f15c566f861d · outbound

This paper cites Accelerated Objective Gap and Gradient Norm Convergence for Gradient Descent via Long Steps.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Accelerated Objective Gap and Gradient Norm Convergence for Gradient Descent via Long Steps

Reference 28

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.810729Z digest=sha256:c9c3d028d6f10b0fbf5c2fddb6a70cbf261eb2cc6a65bee9cc8fb8a4f36d5418

Observation c0dd8883-d30f-4111-81bf-6b7811c0e4dc · outbound

This paper cites Composing optimized stepsize schedules for gradient descent.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Composing optimized stepsize schedules for gradient descent

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.816636Z digest=sha256:f3d6dcec7ced49e97bc26669346dc7210c45ba41d0e56445b13392a132ed0624

Observation 91139da1-b9db-4ef7-83bb-ff31be9cbcfc · outbound

This paper cites Introduction to online convex optimization.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Introduction to online convex optimization

Reference 30

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raw_fallback, observed 2026-08-11T20:34:17.822980Z

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.

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Observation 3f6e0795-2dbe-491f-ae69-641cd40c9572 · outbound

This paper cites Methods of conjugate gradients for solving linear systems.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Methods of conjugate gradients for solving linear systems

Reference 31

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raw_fallback, observed 2026-08-11T20:34:17.809389Z

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.

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Observation 3926b9d7-e1d7-4e93-910e-45e5568f2dd5 · outbound

This paper cites Steepest descent method with random step lengths.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Steepest descent method with random step lengths

Reference 32

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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.

source=pdf_text observed=2026-08-11T20:34:16.830870Z digest=sha256:0e2460d5c425f25880c0a8eeee31113f4761268082f15eaa8617c4507076d65f

Observation c97b78d2-53ba-4828-a940-6f961599bc3f · outbound

This paper cites Iterative methods for optimization.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Iterative methods for optimization

Reference 33

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no resolver link, observed 2026-08-11T20:34:16.835531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.835531Z digest=sha256:b2a53c5c57e0156ce950823c4a6f90c9902c1d246746ae55a09ed51a3a38ec68

Observation 7e9423ca-ea14-48ec-bf64-4c04b3da0f5a · outbound

This paper cites Big-step-little-step: Efficient gradient methods for objectives with multiple scales.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Big-step-little-step: Efficient gradient methods for objectives with multiple scales

Reference 34

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raw_fallback, observed 2026-08-11T20:34:17.769400Z

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.

source=pdf_text observed=2026-08-11T20:34:16.839031Z digest=sha256:41a8a9ab83712b63e0cef0c2147140ba2ab4e7a980c93f44c8a3fccff3688f95

Observation f2c9373f-692f-47ae-99ad-27be7015b9f3 · outbound

This paper cites First-order and stochastic optimization methods for machine learning , volume 1.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule First-order and stochastic optimization methods for machine learning , volume 1

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.751853Z

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.

source=pdf_text observed=2026-08-11T20:34:16.843821Z digest=sha256:6ff75cd76d55a10c2f0cc138e5ef05eadc20933c6366042fee4042cc14a0bd97

Observation 7a902aa8-a8fe-45eb-af37-514be9febb48 · outbound

This paper cites Ordering of the iterative parameters in the cyclical Chebyshev iterative method.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Ordering of the iterative parameters in the cyclical Chebyshev iterative method

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.738486Z

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.

source=pdf_text observed=2026-08-11T20:34:16.850448Z digest=sha256:c10ab4d1140ca71c9749420a27c6732325c0aaa479ce841ae03be1d5164ea16e

Observation bfe617ac-19d3-4273-b4c7-c678e0640b3c · outbound

This paper cites Analysis and design of optimization algorithms via integral quadratic constraints.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Analysis and design of optimization algorithms via integral quadratic constraints

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.720613Z

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.

source=pdf_text observed=2026-08-11T20:34:16.857803Z digest=sha256:e02b132ba2b0dcf06592412130e088fb46201843727bd61cd51b468efc33c04d

Observation 1912af0b-6e67-4e0c-a5d2-fcc4ad45abfe · outbound

This paper cites Linear and nonlinear programming, volume 2.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Linear and nonlinear programming, volume 2

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.706043Z

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.

source=pdf_text observed=2026-08-11T20:34:16.862341Z digest=sha256:e3b67ddf5f21d5f5f0c38142284954cb16914438a5028859b3f9107ed7751e70

Observation 4038f06b-0e7d-4da5-a77d-c4816077cdb2 · outbound

This paper cites Problem complexity and method efficiency in opti- mization.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Problem complexity and method efficiency in opti- mization

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.690870Z

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.

source=pdf_text observed=2026-08-11T20:34:16.866818Z digest=sha256:f6f22911acb549202039b824e33059503797d97d2983076c9e0ebc2affcebc5f

Observation e85c2a8d-a43d-4bc4-ab13-52366986aa1a · outbound

This paper cites Introductory lectures on convex optimization: A basic course , volume 87.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Introductory lectures on convex optimization: A basic course , volume 87

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.675239Z

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.

source=pdf_text observed=2026-08-11T20:34:16.872832Z digest=sha256:d835cbb924f3895e396aec0b9dccd2730f73fcf2485dfef779f131a7cfebabea

Observation f9c15ca6-2b86-40ed-bd2f-f0fe7f3cf770 · outbound

This paper cites Nesterov.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Nesterov

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.657662Z

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.

source=pdf_text observed=2026-08-11T20:34:16.877430Z digest=sha256:05399b475ba8463f956efe789d078bbef8bbeaaf85085d0f966243ca82b7ab00

Observation ef2c3723-76de-4a5b-96f8-1591e25fcb2a · outbound

This paper cites Nocedal and S.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Nocedal and S

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T20:34:16.883195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.883195Z digest=sha256:f337bfcf205ef3809c788d0591576bd07e1f7f231679eb3f02635b862c8f4727

Observation 790e69ad-7200-446c-bfa3-8da684594179 · outbound

This paper cites Provable super-convergence with a large cyclical learning rate.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Provable super-convergence with a large cyclical learning rate

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.631580Z

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.

source=pdf_text observed=2026-08-11T20:34:16.888595Z digest=sha256:85554a256b6c6f6e286b82ccba422f6d9fd93228f4aad41bda158ea609ef772b

Observation ea2a0286-4510-43f7-8966-84376a399b60 · outbound

This paper cites Some methods of speeding up the convergence of iteration methods.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Some methods of speeding up the convergence of iteration methods

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.615498Z

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.

source=pdf_text observed=2026-08-11T20:34:16.893782Z digest=sha256:24d15fd8e45099b08b22c0fce07ea4ef464a2c26045a20bb8fbc513b98ac6262

Observation 74c501e6-d508-4276-aad5-50f7973b6443 · outbound

This paper cites an unresolved cited work.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:34:17.603009Z

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.

source=pdf_text observed=2026-08-11T20:34:16.900011Z digest=sha256:bdf7418f4b822d63909e435628c2984a9aeabd18acc37fde91cf98b4ae11cc66

Observation 3f64e36e-2bb0-4c3c-b589-343347d836b5 · outbound

This paper cites Convergence of methods of feasible directions in extremal problems.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convergence of methods of feasible directions in extremal problems

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.591124Z

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.

source=pdf_text observed=2026-08-11T20:34:16.906748Z digest=sha256:967cef44cad52a4ed16c303f42d4b35930288d5e15963230b5867b1fc1ee713a

Observation 5f26c68d-77c8-42bd-b5e5-5c2827dd1a2d · outbound

This paper cites Gradient algorithms for quadratic optimization with fast con- vergence rates.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Gradient algorithms for quadratic optimization with fast con- vergence rates

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.578120Z

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.

source=pdf_text observed=2026-08-11T20:34:16.913555Z digest=sha256:603a40be62c6d552503c61f84bcfb5ded4dd6bad91d0c756eace11195c8ba87b

Observation 49ca0eb0-d8ed-445b-978b-5dbc8db68614 · outbound

This paper cites Potential theory in the complex plane , volume 28.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Potential theory in the complex plane , volume 28

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.567400Z

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.

source=pdf_text observed=2026-08-11T20:34:16.919677Z digest=sha256:a1d7ef18cf5697cb4df7f633bf030664479f5e79c8cd923674dbb47083501625

Observation acc67512-1543-4bb1-9147-f743ead55aad · outbound

This paper cites Logarithmic potential theory with applications to approximation theory.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Logarithmic potential theory with applications to approximation theory

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.551306Z

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.

source=pdf_text observed=2026-08-11T20:34:16.923865Z digest=sha256:7ea4e71787b397b4a97ca566d534b0a9f22e813cd4b0e28eefeaf91ad7c63c4b

Observation 620d4bf2-459b-43b4-90e3-fe8c34f231b4 · outbound

This paper cites Logarithmic potentials with external fields , volume 316.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Logarithmic potentials with external fields , volume 316

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.534720Z

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.

source=pdf_text observed=2026-08-11T20:34:16.928313Z digest=sha256:102169a277a57f56410e0047f5a61ad9c68d6c9e9ab8c930e06d9dcbe91e92c3

Observation 6c1afe1a-55f6-4332-be44-634f38267a15 · outbound

This paper cites Convergence rates of inexact proximal-gradient meth- ods for convex optimization.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convergence rates of inexact proximal-gradient meth- ods for convex optimization

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.506807Z

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.

source=pdf_text observed=2026-08-11T20:34:16.932660Z digest=sha256:decd46a4d5b3dc796b6ae25e8bb90fcb2cf1631023293d62585319e2795af61e

Observation c7be2359-b031-4cfb-b8ad-40a0abe08bdf · outbound

This paper cites An optimal gradient method for smooth strongly convex minimization.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule An optimal gradient method for smooth strongly convex minimization

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.488783Z

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.

source=pdf_text observed=2026-08-11T20:34:16.937740Z digest=sha256:2e8985da3659289028bd026293d2d9c13e978ff9c4fcb012672e6e352b1548ba

Observation bf83f799-e1df-45ea-8766-9db85c6f09fe · outbound

This paper cites Smooth strongly convex interpolation and exact worst-case performance of first-order methods.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Smooth strongly convex interpolation and exact worst-case performance of first-order methods

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.469095Z

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.

source=pdf_text observed=2026-08-11T20:34:16.941495Z digest=sha256:d64d8e4eefed5d40d854c8d9822b5e754e5616c01da5401a4cc6f0802af33b6b

Observation 8c62c02e-9d29-4194-863a-2c5e01470564 · outbound

This paper cites Potential theory in modern function theory.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Potential theory in modern function theory

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.453687Z

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.

source=pdf_text observed=2026-08-11T20:34:16.945973Z digest=sha256:2b2b93424b76c600866d8d20e5466b7298a973d1da1b51d0de6367bd76e12c20

Observation 964d6f56-7f46-4262-8461-06a6414782fa · outbound

This paper cites Probability in high dimension.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Probability in high dimension

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.436311Z

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.

source=pdf_text observed=2026-08-11T20:34:16.950004Z digest=sha256:58be03dcf3534e178e5b2df190d03209a7a98e244ff935595f6cc3da27070c97

Observation f5e90cd5-c767-4880-86af-1142edbea6ac · outbound

This paper cites The fastest known globally convergent first- order method for minimizing strongly convex functions.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule The fastest known globally convergent first- order method for minimizing strongly convex functions

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.421991Z

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.

source=pdf_text observed=2026-08-11T20:34:16.957176Z digest=sha256:460b6f80ba3606c197c534b19a13655633ac20b80f4360524bed6d41797fc2b5

Observation dfcc1dc6-0899-4b63-97aa-77cedddf8704 · outbound

This paper cites High-dimensional probability: An introduction with applications in data science , volume 47.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule High-dimensional probability: An introduction with applications in data science , volume 47

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-11T20:34:16.961702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.961702Z digest=sha256:aa60fbae8d670a0a8d190a649159a1c935ecd2d2d715c7263e3c7b45c6f60542

Observation 6c8681e8-1b19-4e83-bc67-86e983902afc · outbound

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

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Relaxed Proximal Point Algorithm: Tight Complexity Bounds and Acceleration without Momentum

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-11T20:34:16.967469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.967469Z digest=sha256:865c7eddf9b5888e54426f77464219e2148054f9aabff9ce234442632852a03e

Observation 39238a46-f877-4b02-8e50-69f4aab0d209 · outbound

This paper cites Probability with martingales.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Probability with martingales

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.394327Z

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.

source=pdf_text observed=2026-08-11T20:34:16.974990Z digest=sha256:0d765af020dfb2b664064e37a63741a6472453fea35add8f704df7fa6a7a7685

Observation 538255ec-f16d-44f2-9f72-a9f4c7f98473 · outbound

This paper cites Probabilistic computations: Toward a unified measure of complexity.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Probabilistic computations: Toward a unified measure of complexity

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.367827Z

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.

source=pdf_text observed=2026-08-11T20:34:16.979360Z digest=sha256:0a0dd8fe2af611968a9da6d1a4ad9510b673916ba409978fe835b17e0869d1f6

Observation 0b41eea1-a5a8-495e-8be3-5b5329d00230 · outbound

This paper cites On Richardson’s method for solving linear systems with positive definite matrices.Journal of Mathematics and Physics , 32(1-4):243–255, 1953.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule On Richardson’s method for solving linear systems with positive definite matrices.Journal of Mathematics and Physics , 32(1-4):243–255, 1953

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.346177Z

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.

source=pdf_text observed=2026-08-11T20:34:16.985236Z digest=sha256:805a396dd2e5fbfed2d7495f8f03eecdc565a9867ae6cc61ec32dabebfe2695a

Observation 6dc5ebbf-308c-425a-bca4-c256727ae25d · outbound

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

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Accelerated gradient descent by concatenation of stepsize schedules

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-11T20:34:16.990765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:34:16.990765Z digest=sha256:a57177024552d7159f3edc6baffe5636123331eedb51982ffce871ef89182fbc

Observation bcf8acf9-a77e-43c2-bbb5-bca63e96e08f · outbound

This paper cites An asymptotically optimal gradient algorithm for quadratic optimization with low computational cost.

Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule An asymptotically optimal gradient algorithm for quadratic optimization with low computational cost

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:34:17.324752Z

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.

source=pdf_text observed=2026-08-11T20:34:16.996302Z digest=sha256:27dff1ef2cdb5cb76e5bab29858fc57f6370cb1db3d9d08894f1d1ef8826a126

Pith citing papers

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

Accelerating Proximal Gradient Descent via Silver Stepsizes cites this paper.

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.

source=pdf_text observed=2026-08-11T20:47:10.470533Z digest=sha256:3648e137659e0ce69e446d657a07f97758a99ad25d39492b38be07d0a98aa6ad

Observation e0b87df2-7bd5-49a5-80b9-968280f25db9 · inbound

Secant Line Search for Frank-Wolfe Algorithms cites this paper.

Secant Line Search for Frank-Wolfe Algorithms Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-09T22:38:03.370932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T22:38:03.370932Z digest=sha256:02cc678f88033f6ee3631f701765cb5bd10cf49109045927f88ad88b12c4f266

Observation a321460f-5cc4-4e5a-9855-7d3abfe6386f · inbound

On the Effectiveness of the z-Transform Method in Quadratic Optimization cites this paper.

On the Effectiveness of the z-Transform Method in Quadratic Optimization Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T20:20:14.271755Z

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.

source=arxiv_source observed=2026-08-06T20:20:07.553303Z digest=sha256:4edb0bf185f9e3eeab24aff07a73cb1679ef389f239a4067af2bb34601696c47