Paper Citation Record · LEDGER

Adaptive Momentum and Nonlinear Damping for Neural Network Training

As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 3 inbound Pith citation observations for arXiv:2602.00334.

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

pith.paper-citation-record.v1
2602.00334 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T06:11:29.730991Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T16:04:03.659837Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T14:19:53.595449Z

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy0
unresolved36
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External citation measurements

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Outbound references

Observation 2f0c6035-00f9-4c95-9be7-34e48281ff2e · outbound

This paper cites Babister.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Babister

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.592986Z

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Observation 6a84bdaa-253c-45fe-ae89-ca0acc9bb4f0 · outbound

This paper cites Shallue, Zachary Nado, Jaehoon Lee, Chris J.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Shallue, Zachary Nado, Jaehoon Lee, Chris J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.598487Z

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Observation 597268a4-c664-4755-93d8-a88646b627d7 · outbound

This paper cites The Loss Surfaces of Multilayer Networks.

Adaptive Momentum and Nonlinear Damping for Neural Network Training The Loss Surfaces of Multilayer Networks

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.602279Z

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Observation 31f4efd1-e758-48a4-8eaf-321c926e13a6 · outbound

This paper cites A general system of differential equations to model first-order adaptive algorithms.The Journal of Machine Learning Research, 21(1):5072–5113, 2020.

Adaptive Momentum and Nonlinear Damping for Neural Network Training A general system of differential equations to model first-order adaptive algorithms.The Journal of Machine Learning Research, 21(1):5072–5113, 2020

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.606013Z

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Observation cb46836d-1686-43e3-a44c-0d2d3343a5c4 · outbound

This paper cites Skeel, and Hartmut Neven.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Skeel, and Hartmut Neven

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.609393Z

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Observation 7c76e864-a014-44e8-beff-6c62150cd4cf · outbound

This paper cites On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights.

Adaptive Momentum and Nonlinear Damping for Neural Network Training On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.613412Z

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Observation 42ffdc63-1221-4cb6-9304-54b1e49c24d8 · outbound

This paper cites an unresolved cited work.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.619445Z

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Observation 60156c92-b602-416a-8497-3f24f36a0648 · outbound

This paper cites PhD thesis, The University of Edinburgh, 2024.

Adaptive Momentum and Nonlinear Damping for Neural Network Training PhD thesis, The University of Edinburgh, 2024

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.622864Z

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Observation 989dcf78-4e79-4859-b6f0-31bd854e8045 · outbound

This paper cites Friction-adaptive descent: A family of dynamics- based optimization methods.Journal of Computational Dynamics, 2023.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Friction-adaptive descent: A family of dynamics- based optimization methods.Journal of Computational Dynamics, 2023

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.626073Z

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Observation 979d6269-7061-41da-9717-46941a9374dd · outbound

This paper cites nanogpt: The simplest, fastest repository for training/finetuning medium-sized gpts.

Adaptive Momentum and Nonlinear Damping for Neural Network Training nanogpt: The simplest, fastest repository for training/finetuning medium-sized gpts

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.629454Z

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Observation aca7b679-9af8-4154-851e-4e6c13d33a78 · outbound

This paper cites Kingma and Jimmy Ba.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Kingma and Jimmy Ba

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.632805Z

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Observation 7628a4d8-b3fd-462a-bdf7-24fa093ed350 · outbound

This paper cites Learning multiple layers of features from tiny images.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Learning multiple layers of features from tiny images

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.636657Z

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Observation e9ce34c1-f83e-49e6-bccc-c494205e3a2b · outbound

This paper cites Noise Is Not the Main Factor Behind the Gap Between SGD and Adam on Transformers, but Sign Descent Might Be.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Noise Is Not the Main Factor Behind the Gap Between SGD and Adam on Transformers, but Sign Descent Might Be

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.640167Z

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Observation fa31be18-bd17-4b5b-bff8-8d2439163b1f · outbound

This paper cites Cambridge Monographs on Applied and Computational Mathematics.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Cambridge Monographs on Applied and Computational Mathematics

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.643972Z

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Observation cc94bf1f-ad23-46ea-837b-a61c82b58945 · outbound

This paper cites Visualizing the loss landscape of neural nets.Advances in neural information processing systems, 31, 2018.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Visualizing the loss landscape of neural nets.Advances in neural information processing systems, 31, 2018

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.648521Z

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Observation 960dec9c-15fb-41b1-bfaf-83ca10712a24 · outbound

This paper cites Hamiltonian Descent Methods.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Hamiltonian Descent Methods

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.653044Z

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Observation 0af9ca39-85c2-4a47-afa5-7c2c06c164c6 · outbound

This paper cites Small batch size training for language models: When vanilla SGD works, and why gradient accumulation is wasteful.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Small batch size training for language models: When vanilla SGD works, and why gradient accumulation is wasteful

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.657818Z

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Observation 06e89cca-4bc2-4705-a479-ba3d86eb1f7f · outbound

This paper cites Mattingly, A.M.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Mattingly, A.M

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.661515Z

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Observation 68bdde7a-164a-495a-ab3b-c01d1a571320 · outbound

This paper cites A systematic approach to Lyapunov analyses of continuous-time models in convex optimization.SIAM Journal on Optimization, 33(3):1558–1586, 2023.

Adaptive Momentum and Nonlinear Damping for Neural Network Training A systematic approach to Lyapunov analyses of continuous-time models in convex optimization.SIAM Journal on Optimization, 33(3):1558–1586, 2023

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.665621Z

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Observation 97851a62-e045-492c-943f-639e9cf15731 · outbound

This paper cites A method of solving a convex programming problem with convergence rate o( 1 k2 ).Doklady Akademii Nauk SSSR, 269(3):543, 1983.

Adaptive Momentum and Nonlinear Damping for Neural Network Training A method of solving a convex programming problem with convergence rate o( 1 k2 ).Doklady Akademii Nauk SSSR, 269(3):543, 1983

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.670210Z

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Observation 9fa46088-cc97-489a-9746-ecd2372b0931 · outbound

This paper cites Springer Science & Business Media, 2013.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Springer Science & Business Media, 2013

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.674273Z

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Observation 5450dca8-5bf9-4fc2-8d0e-ed8b3ddf8d4e · outbound

This paper cites Adaptive restart for accelerated gradient schemes.Found.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Adaptive restart for accelerated gradient schemes.Found

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.677825Z

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Observation 1c16d9ac-7ef8-450b-94e5-46db364bcb33 · outbound

This paper cites Panananda, N.S.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Panananda, N.S

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.681358Z

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Observation 2a57f5cb-a81e-41c9-bf5d-9fbda553ab63 · outbound

This paper cites an unresolved cited work.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.684766Z

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Observation ac3b1b45-2135-495f-802f-758c5fad9a41 · outbound

This paper cites an unresolved cited work.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.688080Z

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Observation 74e0610e-8409-4c9d-bfc7-a591fffae82a · outbound

This paper cites Covariance-controlled adaptive langevin thermostat for large-scale bayesian sampling.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Covariance-controlled adaptive langevin thermostat for large-scale bayesian sampling

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.691489Z

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Observation 4381d484-4cc2-44d5-be3a-fb2f38af0e6c · outbound

This paper cites Randomised Splitting Methods and Stochastic Gradient Descent.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Randomised Splitting Methods and Stochastic Gradient Descent

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.695100Z

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Observation 46e04104-aa7b-450e-bc1a-2d6c53f78218 · outbound

This paper cites Simsekli, L.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Simsekli, L

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.699339Z

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Observation a8757a58-df64-492b-97a9-6632d214630c · outbound

This paper cites an unresolved cited work.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.703604Z

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Observation 6041bf79-8a56-4074-b659-de221b57f55a · outbound

This paper cites On the importance of initialization and momentum in deep learning.

Adaptive Momentum and Nonlinear Damping for Neural Network Training On the importance of initialization and momentum in deep learning

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.707358Z

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Observation 0c62b798-9db9-44db-842f-21de740082f1 · outbound

This paper cites Understanding why adam outperforms sgd: Gradient heterogeneity in transformers.arXiv preprint arXiv:2502.00213, 2025.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Understanding why adam outperforms sgd: Gradient heterogeneity in transformers.arXiv preprint arXiv:2502.00213, 2025

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.710755Z

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Observation 098513e5-c832-4046-a10e-3981e94b86d2 · outbound

This paper cites GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding.

Adaptive Momentum and Nonlinear Damping for Neural Network Training GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.714104Z

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Observation ca109e73-eacb-49d1-bff7-64bb68d521e2 · outbound

This paper cites Tinyvit: Fast pretraining distillation for small vision transformers.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Tinyvit: Fast pretraining distillation for small vision transformers

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.718055Z

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Observation c27e3161-a93f-4585-abbb-83c4d7513771 · outbound

This paper cites Why are adaptive methods good for attention models?Advances in Neural Information Processing Systems, 33:15383–15393, 2020.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Why are adaptive methods good for attention models?Advances in Neural Information Processing Systems, 33:15383–15393, 2020

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.722380Z

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Observation 1dd202e5-12ed-4bc8-b37f-d669aa3a4512 · outbound

This paper cites Why transformers need adam: A hessian perspective.

Adaptive Momentum and Nonlinear Damping for Neural Network Training Why transformers need adam: A hessian perspective

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.726157Z

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Observation edc59ee7-5dee-40ed-a4e6-1e2b0c788f10 · outbound

This paper cites artificial.

Adaptive Momentum and Nonlinear Damping for Neural Network Training artificial

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T06:11:29.730991Z

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Pith citing papers

Observation fd97828f-68bb-4ca8-a6a1-a0558726bbbf · inbound

Why That Robot? A Qualitative Analysis of Justification Strategies for Robot Color Selection Across Occupational Contexts cites this paper.

Why That Robot? A Qualitative Analysis of Justification Strategies for Robot Color Selection Across Occupational Contexts Adaptive Momentum and Nonlinear Damping for Neural Network Training

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T16:04:03.659837Z

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Observation 00166406-e7ae-4a48-b390-31fbd9891b79 · inbound

Critical Damping as a Momentum Schedule: Multi-Seed Validation, a Hybrid Recipe, and an Exhaustive Negative Result on Surgical Layer Selection cites this paper.

Critical Damping as a Momentum Schedule: Multi-Seed Validation, a Hybrid Recipe, and an Exhaustive Negative Result on Surgical Layer Selection Adaptive Momentum and Nonlinear Damping for Neural Network Training

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-29T02:14:52.586729Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 45411261-81ed-4260-83c2-36c78c06ca4c · inbound

Accelerated sampling using SamAdams variable timesteps and position-adaptive Langevin dynamics cites this paper.

Accelerated sampling using SamAdams variable timesteps and position-adaptive Langevin dynamics Adaptive Momentum and Nonlinear Damping for Neural Network Training

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-04T14:19:53.597036Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.