Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:12:15.164885Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 100 of 138 outbound references and 5 inbound Pith citation observations for arXiv:2505.16098.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: paper_references, paper_reference_links, observed 2026-08-07T15:12:15.164885Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:20:10.337814Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T23:59:07.503096Z
100 of 138 outbound references displayed
External citation measurements
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Observation 135d7407-2e46-4b23-95ae-82ae0c12539f · outbound
Dimension-adapted Momentum Outscales SGD Unresolved cited work
Reference 1
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Observation 4b3083f2-db48-4dc8-a915-e94f9f8a4526 · outbound
Dimension-adapted Momentum Outscales SGD Katyusha: The first direct acceleration of stochastic gradient methods.The Journal of Machine Learning Research, 18(1):8194–8244, 2017
Reference 2
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Observation cd054e22-f13c-4563-b0b7-1aace20353dd · outbound
Dimension-adapted Momentum Outscales SGD Linear Coupling: An Ultimate Unification of Gradient and Mirror Descent
Reference 3
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Observation 9f972708-9958-4532-961e-931db2e1ccf0 · outbound
Dimension-adapted Momentum Outscales SGD From high-dimensional & mean-field dynamics to dimensionless odes: A unifying approach to sgd in two-layers networks
Reference 4
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Observation a3f8aae9-6e33-4e9f-8243-142f6d0d7755 · outbound
Dimension-adapted Momentum Outscales SGD Springer, 2003
Reference 5
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Observation 8c03353e-8ee7-4b72-8f47-120441cdf4a6 · outbound
Dimension-adapted Momentum Outscales SGD On the Convergence of Nesterov’s Accelerated Gradient Method in Stochastic Settings
Reference 6
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Observation 526148f6-bb78-4f65-b3de-8afaf67c239f · outbound
Dimension-adapted Momentum Outscales SGD Two-Point Deterministic Equivalence for Stochastic Gradient Dynamics in Linear Models
Reference 7
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Observation e4cc7151-1178-42a3-8677-d51be66258a4 · outbound
Dimension-adapted Momentum Outscales SGD Courier Corporation, 2004
Reference 8
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Observation 462a3f89-3288-4fb6-87fc-4a29acc82343 · outbound
Dimension-adapted Momentum Outscales SGD Robust Accelerated Gradient Methods for Smooth Strongly Convex Functions.SIAM Journal on Optimization, 30(1):717– 751, 2020
Reference 9
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Observation 650080e0-5667-4d06-9503-018e49422a33 · outbound
Dimension-adapted Momentum Outscales SGD High-dimensional analysis of double descent for linear regression with random projections
Reference 10
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Observation 1f55e450-1b5b-418e-b8dc-222f45f8412a · outbound
Dimension-adapted Momentum Outscales SGD Explaining neural scaling laws.Proc
Reference 11
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Observation 77e74779-7a35-47b5-a7f7-2bd72e9e8398 · outbound
Dimension-adapted Momentum Outscales SGD Springer, 2010
Reference 12
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Observation 44a1d67d-5c64-4366-9fea-478d1d18c20d · outbound
Dimension-adapted Momentum Outscales SGD Crowdsourcing with enhanced data quality assurance: An efficient approach to mitigate resource scarcity challenges in training large language models for healthcare
Reference 13
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Observation 9e19fb14-41e6-4611-a6ca-3176d1904428 · outbound
Dimension-adapted Momentum Outscales SGD Bartlett, Philip M
Reference 14
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Observation a2385f8f-3166-4e02-83ca-6c2623cf1d67 · outbound
Dimension-adapted Momentum Outscales SGD On the fast convergence of minibatch heavy ball momentum.IMA Journal of Numerical Analysis, page drae033, 08 2024
Reference 15
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Observation 1819c13f-b5d5-425e-b31f-754e6daa4334 · outbound
Dimension-adapted Momentum Outscales SGD A Dynamical Model of Neural Scaling Laws
Reference 16
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Observation 10a4aa30-3857-4a5f-bf1c-0938f3b93a6d · outbound
Dimension-adapted Momentum Outscales SGD How Feature Learning Can Improve Neural Scaling Laws .International Conference on Learning Representations (ICLR), 2025
Reference 17
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Observation 2b87434e-c18b-41af-a5fb-a759f34c540e · outbound
Dimension-adapted Momentum Outscales SGD On ill-posed problems and the method of conjugate gradients
Reference 18
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Observation aea1b5b3-5a87-4445-982f-2370de10eb40 · outbound
Dimension-adapted Momentum Outscales SGD Language models are few-shot learners.Advances in neural information processing systems, 33:1877–1901, 2020
Reference 19
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Observation 7000e894-ed7b-40f7-aae5-5fad5c4ae2d3 · outbound
Dimension-adapted Momentum Outscales SGD Accelerated Linear Convergence of Stochastic Momentum Methods in Wasserstein Distances
Reference 20
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Observation 7e3d9de1-ae97-494e-bda8-6b3e69108bf5 · outbound
Dimension-adapted Momentum Outscales SGD Optimal rates for the regularized least-squares algorithm
Reference 21
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Observation de3d30bf-5114-4c5f-a072-52ee848a8a01 · outbound
Dimension-adapted Momentum Outscales SGD Learning with sgd and random features
Reference 22
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Observation c7787e8a-a1e4-4778-b4e4-08c33044e72e · outbound
Dimension-adapted Momentum Outscales SGD Dimension free ridge regression
Reference 23
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Observation a41fc781-f9d5-409c-a1a2-f831ff7bc930 · outbound
Dimension-adapted Momentum Outscales SGD Coddington and Norman Levinson.Theory of ordinary differential equations
Reference 24
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Observation ac9b2793-f9a0-4e7a-b954-6bd20fd7f1c7 · outbound
Dimension-adapted Momentum Outscales SGD Hitting the high-dimensional notes: an ODE for SGD learning dynamics on GLMs and multi-index models.Inf
Reference 25
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Observation 790518d9-d364-449e-88da-93c67eb14a99 · outbound
Dimension-adapted Momentum Outscales SGD The High Line: Exact Risk and Learning Rate Curves of Stochastic Adaptive Learning Rate Algorithms
Reference 26
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Observation f7c0427a-6e67-4d3d-b310-bf1cbc3046a6 · outbound
Dimension-adapted Momentum Outscales SGD Cambridge University Press, 2022
Reference 27
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Observation 90b77e17-5eb8-41a6-8aa7-2cc1ae107f05 · outbound
Dimension-adapted Momentum Outscales SGD Generalization Error Rates in Kernel Regression: The Crossover from the Noiseless to Noisy Regime.Advances in Neural Information Processing Systems (NeurIPS), 34, 2021
Reference 28
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Observation 87444500-5974-48eb-ac00-467802c81d47 · outbound
Dimension-adapted Momentum Outscales SGD (Accelerated) Noise-adaptive Stochastic Heavy-Ball Momentum.Transactions on Machine Learning Research (TMLR), 2025
Reference 29
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Observation f00fa926-2e61-4409-903f-5bce04aedc06 · outbound
Dimension-adapted Momentum Outscales SGD On the interplay between data structure and loss function in classification problems.Advances in Neural Information Processing Systems (NeurIPS), 34:8506–8517, 2021
Reference 30
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Observation 348f4f41-1af2-4b44-98c2-da15f3a1eff7 · outbound
Dimension-adapted Momentum Outscales SGD The DeepMind JAX Ecosystem.http://github.com/google-deepmind, 2020
Reference 31
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Observation e0f9cfc1-ed8f-4e5e-90dc-4799a4aa70f9 · outbound
Dimension-adapted Momentum Outscales SGD The Road Less Scheduled
Reference 32
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Observation 92442c35-2fa5-4657-ab2b-994eca8d95c4 · outbound
Dimension-adapted Momentum Outscales SGD Dimension-free deterministic equiva- lents and scaling laws for random feature regression
Reference 33
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Observation 58af36ce-541e-4f04-b485-99986b505d88 · outbound
Dimension-adapted Momentum Outscales SGD Optimal Distributed Online Prediction Using Mini-Batches.Journal of Machine Learning Research (JMLR), 13(1), 2012
Reference 34
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Observation a87f1d43-518a-4ed4-9935-8f9b44edd404 · outbound
Dimension-adapted Momentum Outscales SGD Nonparametric stochastic approximation with large step-sizes
Reference 35
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Observation 21249281-31f1-444b-b491-55a492c5b1fb · outbound
Dimension-adapted Momentum Outscales SGD Unresolved cited work
Reference 36
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Observation 74af29cc-1f9f-4140-b092-7a5de1bd12a4 · outbound
Dimension-adapted Momentum Outscales SGD Unresolved cited work
Reference 37
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Observation d166a2d0-48fc-4837-a036-9193b156bb76 · outbound
Dimension-adapted Momentum Outscales SGD Continuized Accelerations of Deterministic and Stochastic Gradient Descents, and of Gossip Algorithms
Reference 38
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Observation 8924603d-bb9f-40c8-af38-93258402db7c · outbound
Dimension-adapted Momentum Outscales SGD Scaling Exponents Across Parameterizations and Optimizers
Reference 39
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Observation 93452301-bea5-44a9-bc7f-c061c3da20ed · outbound
Dimension-adapted Momentum Outscales SGD From Averaging to Acceleration, There is Only a Step-size
Reference 40
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Observation d1d87dba-f7a8-4a31-a705-74e48f03bfc5 · outbound
Dimension-adapted Momentum Outscales SGD Stochastic Heavy Ball
Reference 41
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Observation 50c41e64-a2f8-49cb-8e95-025f260656cb · outbound
Dimension-adapted Momentum Outscales SGD Rigorous dynamical mean-field theory for stochastic gradient descent methods.SIAM Journal on Mathematics of Data Science, 6(2):400–427, 2024
Reference 42
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Observation 0d2727dc-b4d1-4586-b0b9-dbd08e96a619 · outbound
Dimension-adapted Momentum Outscales SGD Optimal stochastic approximation algorithms for strongly convex stochastic composite optimization I: A generic algorithmic framework.SIAM J
Reference 43
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Observation fdbe9b44-19ee-4ba2-8b10-7f80e28d118e · outbound
Dimension-adapted Momentum Outscales SGD Optimal stochastic approximation algorithms for strongly convex stochastic composite optimization, II: Shrinking procedures and optimal algorithms.SIAM J
Reference 44
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Observation f5dd253b-ad3f-4f1b-ac87-bda8888def06 · outbound
Dimension-adapted Momentum Outscales SGD On the resolvents of nonconvolution Volterra kernels.Funkcial
Reference 45
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Observation 7e2d3e58-0686-40e9-8ad9-b2419e1308a3 · outbound
Dimension-adapted Momentum Outscales SGD Siegel, and Stephan Wojtowytsch
Reference 46
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Observation 917ab0be-184d-4a63-ae8e-6b06198a0975 · outbound
Dimension-adapted Momentum Outscales SGD Deterministic equivalents for certain functionals of large random matrices.Ann
Reference 47
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Observation a4ed0afd-719f-41f5-89ac-e0ad58ac7675 · outbound
Dimension-adapted Momentum Outscales SGD Deep Learning Scaling is Predictable, Empirically
Reference 48
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Observation a5df0178-1a81-4547-94e9-507b09eb407a · outbound
Dimension-adapted Momentum Outscales SGD Long short-term memory.Neural computation, 9(8):1735– 1780, 1997
Reference 49
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Observation 09a72713-82a4-4a73-b826-0d02955031ea · outbound
Dimension-adapted Momentum Outscales SGD An empirical analysis of compute-optimal large language model training
Reference 50
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Observation c3d20e83-e61e-4c22-b254-495fdcce2470 · outbound
Dimension-adapted Momentum Outscales SGD Asymptotics of Random Feature Regression Beyond the Linear Scaling Regime
Reference 51
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Observation b9ca4e24-e1ec-4fbc-bd40-01b2b1fd814b · outbound
Dimension-adapted Momentum Outscales SGD Accelerating Stochastic Gradient Descent for Least Squares Regression
Reference 52
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Observation 27aaf3e1-a0fe-48c2-a9c6-31b6fa71ae0c · outbound
Dimension-adapted Momentum Outscales SGD Exploring the Limits of Language Modeling
Reference 53
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Observation f48f75ad-cd49-42ec-bdfd-e016d1531285 · outbound
Dimension-adapted Momentum Outscales SGD Scaling Laws for Neural Language Models
Reference 54
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Observation 44ca49ad-4458-4678-a80c-40aa0f5b67d6 · outbound
Dimension-adapted Momentum Outscales SGD On the Insufficiency of Existing Momentum Schemes for Stochastic Optimization
Reference 55
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Observation d1c0c5a0-cde5-4c46-8efa-b7483f067e54 · outbound
Dimension-adapted Momentum Outscales SGD Adam: A method for stochastic optimization.International Conference on Learning Representations (ICLR), 2015
Reference 56
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Observation a8653e32-f538-4173-aeeb-1fecf1bfae3c · outbound
Dimension-adapted Momentum Outscales SGD SentencePiece: A simple and language independent subword tokenizer and detokenizer for Neural Text Processing
Reference 57
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Observation 9c76b7e3-52eb-40cd-af19-d71941e38dd4 · outbound
Dimension-adapted Momentum Outscales SGD A Generic Acceleration Framework for Stochastic Composite Optimization
Reference 58
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Observation e1fb9b7c-1016-4c56-8781-2c078332e103 · outbound
Dimension-adapted Momentum Outscales SGD A Lyapunov analysis for accelerated gradient methods: from deterministic to stochastic case
Reference 59
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Observation 5159dc25-5322-41be-a2c4-5b5d25608b1f · outbound
Dimension-adapted Momentum Outscales SGD Trajectory of mini-batch momentum: batch size saturation and convergence in high dimensions.Advances in Neural Information Processing Systems (NeurIPS), 35:36944–36957, 2022
Reference 60
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Observation ddb9b113-f8f5-4485-af76-c1c6b863ce7b · outbound
Dimension-adapted Momentum Outscales SGD Risk Bounds of Accelerated SGD for Overparameterized Linear Regression
Reference 61
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Observation 852ad403-c7e9-4df9-81d7-649f7e54efc6 · outbound
Dimension-adapted Momentum Outscales SGD A Random Matrix Analysis of Random Fourier Features: Beyond the Gaussian Kernel, a Precise Phase Transition, and the Corresponding Double Descent
Reference 62
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Observation 053ca2cf-fcc8-4ea1-aa0f-45b7e3a37dac · outbound
Dimension-adapted Momentum Outscales SGD Kakade, Peter L
Reference 63
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Observation 9a357859-210e-41cf-842c-84b57ef82f5d · outbound
Dimension-adapted Momentum Outscales SGD Accelerating SGD with momentum for over-parameterized learning
Reference 64
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Observation ec817234-2db1-430c-b069-b3f92cd2387c · outbound
Dimension-adapted Momentum Outscales SGD Liu, Roman Novak, Jaehoon Lee, Mitchell Wortsman, Lechao Xiao, Katie Everett, Alexander A
Reference 65
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Observation 7fbbc842-53b4-430d-9c47-7e925129935c · outbound
Dimension-adapted Momentum Outscales SGD Optimal Algorithms in Linear Regression under Covariate Shift: On the Importance of Precondition
Reference 66
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Observation d5c9818a-74f5-4015-a8fa-0ef5e3521dc9 · outbound
Dimension-adapted Momentum Outscales SGD Momentum and stochastic momentum for stochastic gradient, Newton, proximal point and subspace descent methods.Comput
Reference 67
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Observation 0b454634-09f7-43e0-a13a-46ef805a4678 · outbound
Dimension-adapted Momentum Outscales SGD Learning curves of generic features maps for realistic datasets with a teacher-student model.Advances in Neural Information Processing Systems (NeurIPS), 34:18137–18151, 2021
Reference 68
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Observation f0eff303-0a79-4b5f-8810-45bc0ad8a5f2 · outbound
Dimension-adapted Momentum Outscales SGD A Solvable Model of Neural Scaling Laws
Reference 69
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Observation 0564592b-6aeb-4422-a246-903804105d8e · outbound
Dimension-adapted Momentum Outscales SGD An Empirical Model of Large-Batch Training
Reference 70
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Observation 1fa36a36-80c2-4131-aa76-98d55d5d16e8 · outbound
Dimension-adapted Momentum Outscales SGD The generalization error of random features regression: Precise asymptotics and the double descent curve.Communications on Pure and Applied Mathematics, 75(4):667–766, 2022
Reference 71
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Observation a3cf97ad-e2d2-4aa4-8540-793666d902a5 · outbound
Dimension-adapted Momentum Outscales SGD Anisotropic random feature regression in high dimensions
Reference 72
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Observation 6f9e2bb9-eab8-45bf-99ca-c4ae33ed39ad · outbound
Dimension-adapted Momentum Outscales SGD Connections between Schedule-Free Optimizers, AdEMAMix, and Accelerated SGD Variants
Reference 73
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Observation f1acd3e5-95d2-4e0d-be42-e42c917f542f · outbound
Dimension-adapted Momentum Outscales SGD Unresolved cited work
Reference 74
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Observation 8f40a6a2-8f2f-4f2f-a624-4762c0f8e9ad · outbound
Dimension-adapted Momentum Outscales SGD Springer, 2004
Reference 75
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Observation 17281a23-901b-431b-9b98-601a6c53c8b0 · outbound
Dimension-adapted Momentum Outscales SGD The Role of Memory in Stochastic Optimization
Reference 76
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Observation 1b5b3379-0054-4b11-a828-1934b8148ae4 · outbound
Dimension-adapted Momentum Outscales SGD SGD in the Large: Average-case Analysis, Asymptotics, and Stepsize Criticality
Reference 77
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Observation 40dd3cbe-f1e1-4cb5-b94c-1215bf77e574 · outbound
Dimension-adapted Momentum Outscales SGD Dynamics of stochastic momentum methods on large-scale, quadratic models.Advances in Neural Information Processing Systems (NeurIPS), 34:9229–9240, 2021
Reference 78
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Observation 5a90cde5-1b9b-43b0-bb7b-8309618bf4c7 · outbound
Dimension-adapted Momentum Outscales SGD Homogenization of SGD in high-dimensions: Exact dynamics and generalization properties
Reference 79
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Observation f0ff3332-5124-4878-b902-c01cf276292e · outbound
Dimension-adapted Momentum Outscales SGD 4+3 Phases of Compute- Optimal Neural Scaling Laws
Reference 80
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Observation 737976b7-4bf5-4059-bbcb-55ed4fb19100 · outbound
Dimension-adapted Momentum Outscales SGD Statistical optimality of stochastic gradient descent on hard learning problems through multiple passes.Advances in Neural Information Processing Systems (NeurIPS), 31, 2018
Reference 81
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Observation 004d037a-1373-4d55-9a63-488ea162624e · outbound
Dimension-adapted Momentum Outscales SGD Unresolved cited work
Reference 82
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Observation 44f3b326-0904-4cd7-89d8-fb0b1f9453d8 · outbound
Dimension-adapted Momentum Outscales SGD Resolving Discrepancies in Compute-Optimal Scaling of Language Models
Reference 83
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Observation bca4adeb-9671-435b-b112-fa47a97f5fa2 · outbound
Dimension-adapted Momentum Outscales SGD Exploring the limits of transfer learning with a unified text-to-text transformer.Journal of machine learning research, 21(140):1–67, 2020
Reference 84
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Observation 2ff89abe-ac04-4103-96ae-0b8d61779263 · outbound
Dimension-adapted Momentum Outscales SGD Generalization properties of learning with random features
Reference 85
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Observation da9a3bf2-2b7b-4c54-a4cf-ae3d2b390b60 · outbound
Dimension-adapted Momentum Outscales SGD Almost sure convergence rates for Stochastic Gradient Descent and Stochastic Heavy Ball
Reference 86
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Observation c7476da7-977f-4d7a-80f9-eb68268aaa3b · outbound
Dimension-adapted Momentum Outscales SGD Shallue, J
Reference 87
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Observation 04779a5a-4676-4426-b882-3889dc35c8ea · outbound
Dimension-adapted Momentum Outscales SGD Stochastic gradient descent for non-smooth optimization: Convergence results and optimal averaging schemes
Reference 88
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Observation f1c1bf81-5dc2-46bc-9fd5-1c3f213da4b7 · outbound
Dimension-adapted Momentum Outscales SGD Scaling Laws from the Data Manifold Dimension.Journal of Machine Learning Research (JMLR), 23(9):1–34, 2022
Reference 89
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Observation 924cc582-c9b3-413e-bde0-820d311f6044 · outbound
Dimension-adapted Momentum Outscales SGD On the empirical distribution of eigenvalues of a class of large dimensional random matrices.Journal of Multivariate analysis, 54(2):175–192, 1995
Reference 90
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Observation 3eea8b76-a2cd-4b0e-add9-05caa17752ba · outbound
Dimension-adapted Momentum Outscales SGD Simon, Dhruva Karkada, Nikhil Ghosh, and Mikhail Belkin
Reference 91
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Observation dd0133e4-f898-4aba-b79a-ba895ba901ba · outbound
Dimension-adapted Momentum Outscales SGD Unresolved cited work
Reference 92
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Observation 9ccf918c-11fa-4acc-80cc-78ec84093e4b · outbound
Dimension-adapted Momentum Outscales SGD On the importance of initialization and momentum in deep learning
Reference 93
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Observation 07a5a365-add0-4146-9573-b58485d9b9bb · outbound
Dimension-adapted Momentum Outscales SGD Accelerated sgd for non-strongly-convex least squares
Reference 94
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Observation 946bd2b3-490b-42d0-a693-83bce87abccb · outbound
Dimension-adapted Momentum Outscales SGD Last iterate convergence of SGD for Least-Squares in the Interpolation regime
Reference 95
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 56854e95-7532-46c1-b2a4-5a93d425c62f · outbound
Dimension-adapted Momentum Outscales SGD Fast and Faster Convergence of SGD for Over- Parameterized Models and an Accelerated Perceptron
Reference 96
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4612b370-df80-40a7-9d47-d1e2a4e3af3a · outbound
Dimension-adapted Momentum Outscales SGD Will we run out of data? Limits of LLM scaling based on human-generated data
Reference 97
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Observation 01a48e64-08ec-4a3a-af88-c318190e731b · outbound
Dimension-adapted Momentum Outscales SGD Re-examining Double Descent and Scal- ing Laws under Norm-based Capacity via Deterministic Equivalence.arXiv preprint arXiv:2502.01585, 2025
Reference 98
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Observation b6b2e15e-b637-493a-8a6f-0431bb7db6d5 · outbound
Dimension-adapted Momentum Outscales SGD A variational perspective on accelerated methods in optimization.proceedings of the National Academy of Sciences, 113(47):E7351–E7358, 2016
Reference 99
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Observation 689c7404-5308-42fd-b8be-6aa24e82590a · outbound
Dimension-adapted Momentum Outscales SGD Small-scale proxies for large-scale Transformer training instabilities
Reference 100
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Observation 44912105-8972-45f5-bd1a-3dea9a2c6d61 · inbound
On the Effectiveness of the z-Transform Method in Quadratic Optimization Dimension-adapted Momentum Outscales SGD
Reference 26
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Observation 31c32ee6-facb-4999-9ef6-63415c928577 · inbound
Theory of Optimal Learning Rate Schedules and Scaling Laws for a Random Feature Model Dimension-adapted Momentum Outscales SGD
Reference 8
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Observation df47034a-be6e-4c53-afd9-564ee5c509b1 · inbound
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Dimension-adapted Momentum Outscales SGD
Reference 13
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Observation d37d3a63-dce6-4d09-9013-0ab343d350ce · inbound
Phases of Muon: When Muon Eclipses SignSGD Dimension-adapted Momentum Outscales SGD
Reference 27
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Observation fffdd257-1a9c-455d-a040-f492590a1944 · inbound
Compute Efficiency and Serial Runtime Tradeoffs for Stochastic Momentum Methods Dimension-adapted Momentum Outscales SGD
Reference 5
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