Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T20:34:16.996302Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T20:34:16.996302Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T20:47:10.470533Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T20:20:14.111520Z
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation be057036-e984-4699-bb58-d0c2e7cdfd36 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Acceleration via fractal learning rate schedules
Reference 1
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.
Observation 736cfe16-211b-4212-8f50-77dc1f8f388e · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Altschuler
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 230ed3d8-fd9c-4b25-a546-7a820f36d383 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8db47f2-fdf5-404e-a443-46f47b88f71b · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Acceleration by Stepsize Hedging: Silver Stepsize Schedule for Smooth Convex Optimization
Reference 4
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.
Observation a4f82f52-fbf5-4fa7-ad97-eda6f3641b99 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Two-point step size gradient methods
Reference 5
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.
Observation 1ffe8f28-63f2-4772-8c7b-2896eff6d509 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Bertsekas
Reference 6
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.
Observation 00c0d1ac-66a2-4001-b222-6d92a7919d65 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Matrix analysis , volume 169
Reference 7
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.
Observation f21a5e48-9882-46f3-adba-536ec5413229 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Altschuler
Reference 8
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.
Observation 3b82ef02-8b2d-4a00-9c85-9ee394b4330f · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convex optimization
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d5ca98d-7da8-4b9a-85f5-31024cee098f · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convex optimization: Algorithms and complexity
Reference 10
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.
Observation e01cadef-f6eb-49b3-a739-6283cc59e36d · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule A geometric alternative to Nesterov's accelerated gradient descent
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4958ff8e-6475-4d30-bc9e-99efea4d1fdf · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Performance estimation of the gradient method with fixed arbitrary step sizes
Reference 12
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.
Observation cd328317-a09d-4977-bc23-5de4ddca48b0 · outbound
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
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.
Observation c5d54edf-57bb-4033-a259-498110414f4c · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Smooth optimization with approximate gradient
Reference 14
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.
Observation 2810a660-c5aa-4f03-bdbd-cd66e2be3475 · outbound
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
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.
Observation 1b452e84-038d-42b1-a6da-8c59e6170864 · outbound
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
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.
Observation 026aef0c-e0f1-4a84-a01c-28ecd6e6d265 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Large deviations techniques and applications
Reference 17
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.
Observation afc705cf-4060-4eba-bc75-5c87bcf6d072 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule First-order methods of smooth convex opti- mization with inexact oracle
Reference 18
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.
Observation 4b2001ce-58ff-4a5c-b2ad-ac179f30d097 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule From potential theory to matrix iterations in six steps
Reference 19
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.
Observation 66eee1d3-d730-47a6-9bf7-61ee4a1f7c2f · outbound
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
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.
Observation e76f824c-15a7-4a3c-aa16-ac2563e2080f · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule An optimal first order method based on optimal quadratic averaging
Reference 21
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.
Observation 32b06176-26c2-46ce-9ef3-5b885847f83e · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Acceleration methods
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7612cb85-d66c-4551-9743-9e199a65d0c1 · outbound
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
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.
Observation e922e9d9-8bcc-48e2-8422-970e8700c4a0 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Super- acceleration with cyclical step-sizes
Reference 24
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.
Observation a6d9978b-a9ce-4fbe-be98-452059734918 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Table of integrals, series, and products
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 705423d3-5639-4af9-9673-3a51305c8d7d · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Provably faster gradient descent via long steps
Reference 26
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.
Observation c5a216e2-315f-4d90-affe-c46e7e975587 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Accelerated Gradient Descent via Long Steps
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13b6b41d-f75a-4f22-aa3a-f15c566f861d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0dd8883-d30f-4111-81bf-6b7811c0e4dc · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Composing optimized stepsize schedules for gradient descent
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91139da1-b9db-4ef7-83bb-ff31be9cbcfc · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Introduction to online convex optimization
Reference 30
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.
Observation 3f6e0795-2dbe-491f-ae69-641cd40c9572 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Methods of conjugate gradients for solving linear systems
Reference 31
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.
Observation 3926b9d7-e1d7-4e93-910e-45e5568f2dd5 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Steepest descent method with random step lengths
Reference 32
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.
Observation c97b78d2-53ba-4828-a940-6f961599bc3f · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Iterative methods for optimization
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e9423ca-ea14-48ec-bf64-4c04b3da0f5a · outbound
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
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.
Observation f2c9373f-692f-47ae-99ad-27be7015b9f3 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule First-order and stochastic optimization methods for machine learning , volume 1
Reference 35
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.
Observation 7a902aa8-a8fe-45eb-af37-514be9febb48 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Ordering of the iterative parameters in the cyclical Chebyshev iterative method
Reference 36
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.
Observation bfe617ac-19d3-4273-b4c7-c678e0640b3c · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Analysis and design of optimization algorithms via integral quadratic constraints
Reference 37
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.
Observation 1912af0b-6e67-4e0c-a5d2-fcc4ad45abfe · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Linear and nonlinear programming, volume 2
Reference 38
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.
Observation 4038f06b-0e7d-4da5-a77d-c4816077cdb2 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Problem complexity and method efficiency in opti- mization
Reference 39
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.
Observation e85c2a8d-a43d-4bc4-ab13-52366986aa1a · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Introductory lectures on convex optimization: A basic course , volume 87
Reference 40
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.
Observation f9c15ca6-2b86-40ed-bd2f-f0fe7f3cf770 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Nesterov
Reference 41
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.
Observation ef2c3723-76de-4a5b-96f8-1591e25fcb2a · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Nocedal and S
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 790e69ad-7200-446c-bfa3-8da684594179 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Provable super-convergence with a large cyclical learning rate
Reference 43
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.
Observation ea2a0286-4510-43f7-8966-84376a399b60 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Some methods of speeding up the convergence of iteration methods
Reference 44
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.
Observation 74c501e6-d508-4276-aad5-50f7973b6443 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Unresolved cited work
Reference 45
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.
Observation 3f64e36e-2bb0-4c3c-b589-343347d836b5 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convergence of methods of feasible directions in extremal problems
Reference 46
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.
Observation 5f26c68d-77c8-42bd-b5e5-5c2827dd1a2d · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Gradient algorithms for quadratic optimization with fast con- vergence rates
Reference 47
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.
Observation 49ca0eb0-d8ed-445b-978b-5dbc8db68614 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Potential theory in the complex plane , volume 28
Reference 48
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.
Observation acc67512-1543-4bb1-9147-f743ead55aad · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Logarithmic potential theory with applications to approximation theory
Reference 49
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.
Observation 620d4bf2-459b-43b4-90e3-fe8c34f231b4 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Logarithmic potentials with external fields , volume 316
Reference 50
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.
Observation 6c1afe1a-55f6-4332-be44-634f38267a15 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Convergence rates of inexact proximal-gradient meth- ods for convex optimization
Reference 51
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.
Observation c7be2359-b031-4cfb-b8ad-40a0abe08bdf · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule An optimal gradient method for smooth strongly convex minimization
Reference 52
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.
Observation bf83f799-e1df-45ea-8766-9db85c6f09fe · outbound
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
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.
Observation 8c62c02e-9d29-4194-863a-2c5e01470564 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Potential theory in modern function theory
Reference 54
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.
Observation 964d6f56-7f46-4262-8461-06a6414782fa · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Probability in high dimension
Reference 55
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.
Observation f5e90cd5-c767-4880-86af-1142edbea6ac · outbound
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
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.
Observation dfcc1dc6-0899-4b63-97aa-77cedddf8704 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c8681e8-1b19-4e83-bc67-86e983902afc · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Relaxed Proximal Point Algorithm: Tight Complexity Bounds and Acceleration without Momentum
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39238a46-f877-4b02-8e50-69f4aab0d209 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Probability with martingales
Reference 59
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.
Observation 538255ec-f16d-44f2-9f72-a9f4c7f98473 · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Probabilistic computations: Toward a unified measure of complexity
Reference 60
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.
Observation 0b41eea1-a5a8-495e-8be3-5b5329d00230 · outbound
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
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.
Observation 6dc5ebbf-308c-425a-bca4-c256727ae25d · outbound
Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule Accelerated gradient descent by concatenation of stepsize schedules
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bcf8acf9-a77e-43c2-bbb5-bca63e96e08f · outbound
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
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.
Observation 649ede97-f7bf-4b2e-a34c-0c62e9e3b428 · inbound
Accelerating Proximal Gradient Descent via Silver Stepsizes Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule
Reference 2018
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0b87df2-7bd5-49a5-80b9-968280f25db9 · inbound
Secant Line Search for Frank-Wolfe Algorithms Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule
Reference 2023
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a321460f-5cc4-4e5a-9855-7d3abfe6386f · inbound
On the Effectiveness of the z-Transform Method in Quadratic Optimization Acceleration by Random Stepsizes: Hedging, Equalization, and the Arcsine Stepsize Schedule
Reference 2
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.