Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:02:00.305004Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 100 of 100 outbound references and 0 inbound Pith citation observations for arXiv:2508.15071.
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 2026-08-16T04:02:00.305004Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
100 of 100 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 75ed954f-d7e5-4a45-9329-3157aa52ecc1 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Why Do We Need Weight Decay in Modern Deep Learning?
Reference 1
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Observation 403f152a-6a6f-486d-9200-0c8b3aecbd8e · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Complexity guarantees for polyak steps with momentum
Reference 2
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Observation 362af00c-b526-42c9-add2-0b2671c6380f · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size signsgd: Compressed optimisation for non-convex problems
Reference 3
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Observation b080a475-917a-41b5-8c32-d6e03869f1e2 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size GPT-NeoX-20B: An Open-Source Autoregressive Language Model
Reference 4
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Observation be69c4a0-1819-4cb2-aea0-b7a7d68dd687 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size On the fast convergence of minibatch heavy ball momentum
Reference 5
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Observation e3c185a7-48f6-4117-9798-1eb8a2a2cf89 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Depthwise Hyperparameter Transfer in Residual Networks: Dynamics and Scaling Limit
Reference 6
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Observation ec149d4d-e97f-4c2f-a593-e7c4e1f79bd5 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Language Models are Few-Shot Learners
Reference 7
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Observation 4adb68de-4d40-4e94-b9b6-b7a87b0704b8 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Symbolic discovery of optimization algorithms
Reference 8
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Observation ab9bba67-7bb4-46a8-bab4-aa9eddd05a3c · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size On Empirical Comparisons of Optimizers for Deep Learning
Reference 9
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Observation 8c2d8e97-46a8-4663-b9af-cd72051f532a · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Palm: Scaling language modeling with pathways
Reference 10
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Observation 056d1561-8fed-4550-ace4-5ec377bcc419 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Adaptive methods through the lens of SDE s: Theoretical insights on the role of noise
Reference 11
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Observation 6aec30bb-a9c7-48b2-aea7-063f9ac1c952 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Momentum improves normalized sgd
Reference 12
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Observation cbb35b1a-b3c7-4fc3-b693-0ea56fb8e94f · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Momentum-based variance reduction in non-convex sgd
Reference 13
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Observation b1fafb98-2a8c-49ae-a669-7c614b5c7fec · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Imagenet: A large-scale hierarchical image database
Reference 14
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Observation 7ed8d0da-db96-404d-8af0-9520e9eae34a · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size An image is worth 16x16 words: Transformers for image recognition at scale
Reference 15
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Observation e4f410e4-c06e-45ab-bdea-13841bd7d5bc · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Adaptive subgradient methods for online learning and stochastic optimization
Reference 16
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Observation d84542db-9db5-4983-abdd-a66beee89ab0 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Momentum provably improves error feedback! Advances in Neural Information Processing Systems, 2024
Reference 17
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Observation 8e646e69-db21-49d1-8120-17a36663ad91 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Lecture 6: Matrix norms and spectral radii
Reference 18
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Observation 0fa091cf-f408-4d75-92e0-ad6a9aff91aa · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size When and Why Momentum Accelerates SGD:An Empirical Study
Reference 19
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Observation 41b36890-f508-48fa-b27f-58435cd84597 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Handbook of Convergence Theorems for (Stochastic) Gradient Methods
Reference 20
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Observation 210fce15-16f0-4a12-9aa8-ed2918e0991b · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Global convergence of the heavy-ball method for convex optimization
Reference 21
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Observation 174f9570-3a11-466f-bd32-01401c60714a · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Goodfellow, Yoshua Bengio, and Aaron Courville
Reference 22
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Observation 1a535e1c-61a7-43f9-9dab-add5e3f9a65d · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Sgd for structured nonconvex functions: Learning rates, minibatching and interpolation
Reference 23
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Observation aba92dde-7f24-4e3d-af17-47e17f2e1447 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Analysis of an Idealized Stochastic Polyak Method and its Application to Black-Box Model Distillation
Reference 24
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Observation a04d8da8-b71d-4f58-beef-26b0f54f82ba · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Deep residual learning for image recognition
Reference 25
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Observation 740fac5a-ff24-4f31-b598-2a1d46973180 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Neural networks for machine learning lecture 6a overview of mini-batch gradient descent
Reference 26
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Observation d1f5bdb0-8cca-47e6-ab26-36e3c8eaa708 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Empirical tests of optimization assumptions in deep learning
Reference 27
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Observation eef4b47c-299c-4139-80e3-e8daf80496bd · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Long short-term memory
Reference 28
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Observation 1f1cea8b-8643-49ee-a258-c263f5e1f1e5 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Training Compute-Optimal Large Language Models
Reference 29
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Observation f70f5270-f2a1-4395-b745-c75121890d9a · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Loss landscape characterization of neural networks without over-parametrization
Reference 30
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Observation 987c96ca-a8f8-40eb-a401-db5c1f729c39 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Near optimal decentralized optimization with compression and momentum tracking
Reference 31
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Observation 341e3e36-1be9-490f-8431-30bc80cc2828 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Double momentum and error feedback for clipping with fast rates and differential privacy
Reference 32
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Observation 523b001d-2000-4b46-86c3-5e2cd957af75 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Accelerating stochastic gradient descent for least squares regression
Reference 33
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Observation 932d303f-1c6d-4887-90ec-66713514045b · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Towards understanding how momentum improves generalization in deep learning
Reference 34
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Observation 45fd837e-82ef-4cbd-9b40-d3c71febe758 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Adaptive sgd with polyak stepsize and line-search: Robust convergence and variance reduction
Reference 35
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Observation 88be9c17-a0e5-4a9e-9246-969d022d624d · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Muon: An optimizer for hidden layers in neural networks, 2024
Reference 36
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Observation 68c044d0-912a-4bcc-9e9a-1a85a711fd78 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Scaling Laws for Neural Language Models
Reference 37
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Observation 7c572350-404a-4c5f-bdeb-6006d6621b67 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size char-rnn
Reference 38
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Observation 9b554f5b-db03-4b85-98e8-02eccc2519b9 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Unresolved cited work
Reference 39
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Observation 388b9629-0fed-4001-b2bc-bc687205efef · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Adam: A method for stochastic optimization
Reference 40
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Observation 5ac3088c-d89f-4ff8-ac68-3382266e53a3 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Learning multiple layers of features from tiny images
Reference 41
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Observation e209251b-0801-4741-8c7c-8769f6a3d36f · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Noise is not the main factor behind the gap between sgd and adam on transformers, but sign descent might be
Reference 42
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Observation 9c2a846a-b032-4017-be1b-a5bf448f13cf · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Heavy-Tailed Class Imbalance and Why Adam Outperforms Gradient Descent on Language Models
Reference 43
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Observation 6de7c598-9e9f-4512-987d-7e6c5e651a3d · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Trajectory of mini-batch momentum: batch size saturation and convergence in high dimensions
Reference 44
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Observation 31b14a5f-5c45-49ca-b369-2bcaec6c32c5 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Convergence of adam under relaxed assumptions
Reference 45
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Observation e61cf730-7b8b-4446-95ce-e02c9e944240 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size PyTorch Distributed: Experiences on Accelerating Data Parallel Training
Reference 46
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Observation 4edf6a43-4863-4074-8d7b-ddcc4de46123 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size SP2: A Second Order Stochastic Polyak Method
Reference 47
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Observation cf55416c-46a5-4871-b7c6-d5275d9cfc81 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size An improved analysis of stochastic gradient descent with momentum
Reference 48
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Observation 889c4601-5666-484e-b683-3169e5147704 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Stochastic polyak step-size for sgd: An adaptive learning rate for fast convergence
Reference 49
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Observation dc80494d-6782-4e33-b6c0-980beb2680d4 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Decoupled Weight Decay Regularization
Reference 50
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Observation 6599f62c-3d3d-48f4-bf8e-ffdca5fb9e6f · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Adaptive Gradient Methods with Dynamic Bound of Learning Rate
Reference 51
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Observation 382dbff7-06db-4725-b7e0-9ac0c0ceebec · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Quasi-hyperbolic momentum and Adam for deep learning
Reference 52
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Observation 42f52e0d-7ed3-4e5a-88eb-10d5e0d82333 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Pointer sentinel mixture models
Reference 53
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Observation 85655926-f5e6-4422-b187-89b0ba5fb808 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Recurrent neural network based language model
Reference 54
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Observation 10c9c299-6125-41cc-a4af-e253b7948e81 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size A Theory on Adam Instability in Large-Scale Machine Learning
Reference 55
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Observation 5a0de51c-9f30-43d8-9c1c-649b2f45e034 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Signal propagation in transformers: Theoretical perspectives and the role of rank collapse
Reference 56
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Observation 75b19c71-4040-4864-bd6d-b4cb27e0ecd2 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Stochastic Polyak Step-sizes and Momentum: Convergence Guarantees and Practical Performance
Reference 57
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Observation c71116f5-2cd0-4fbf-9957-ef0213b41407 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size The Cost of Training NLP Models: A Concise Overview
Reference 58
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Observation 4bfdd543-bdff-4703-afe0-40d4ce78a86f · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size An Adaptive Stochastic Gradient Method with Non-negative Gauss-Newton Stepsizes
Reference 59
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Observation 6108796e-ab14-4c86-8d43-7288afb57cfa · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Dynamics of sgd with stochastic polyak stepsizes: Truly adaptive variants and convergence to exact solution
Reference 60
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Observation 75e87561-2ebc-40cc-9cba-582c63add8d1 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Seeing stars: Exploiting class relationships for sentiment categorization with respect to rating scales
Reference 61
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Observation 1c955981-b673-40dd-8fd3-4725b85e56e4 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Automatic differentiation in pytorch
Reference 62
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Observation f589f836-559e-44b3-a0a1-215ae6486243 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size The fineweb datasets: Decanting the web for the finest text data at scale
Reference 63
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Observation 3f2fe75e-3a1f-46bd-b133-910c85dec5d8 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Unresolved cited work
Reference 64
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Observation de02a3ab-32af-4735-8346-d775dbd41375 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Introduction to optimization
Reference 65
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Observation 6c8cb3a1-5131-4ffd-8246-c252b27e2fa2 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Improving language understanding by generative pre-training
Reference 66
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Observation a79463ad-6153-432c-89b1-e5ee8fbba693 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Zero: Memory optimizations toward training trillion parameter models
Reference 67
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Observation 9cefb47f-7977-49d0-90be-0bc73043e303 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Local Curvature Descent: Squeezing More Curvature out of Standard and Polyak Gradient Descent
Reference 68
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Observation 294d1134-d00a-42eb-8cf1-06c63e1801f2 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size An adaptive polyak heavy-ball method
Reference 69
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Observation fbeef074-4663-4bf4-8d8b-6c09bd2add1b · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Stochastic sign descent methods: New algorithms and better theory
Reference 70
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Observation f4c38cc6-add0-4738-ab94-cc84ddbae6c5 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Unresolved cited work
Reference 71
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Observation 613a344c-4907-4ab3-acb8-7e234dc9ae37 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size The Surprising Agreement Between Convex Optimization Theory and Learning-Rate Scheduling for Large Model Training
Reference 72
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Observation 8af1993d-2b04-4556-aad5-2267ae84df49 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Almost sure convergence rates for stochastic gradient descent and stochastic heavy ball
Reference 73
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Observation 4ce88943-798c-49e1-aede-e36e7f0d2fac · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size GLU Variants Improve Transformer
Reference 74
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Observation 3bf10510-5577-434b-90b2-4d40c2d6a755 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Megatron-LM: Training Multi-Billion Parameter Language Models Using Model Parallelism
Reference 75
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Observation 7a7bf361-e9b0-4127-aab4-ec9ea8c62681 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Very Deep Convolutional Networks for Large-Scale Image Recognition
Reference 76
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Observation fefdfb3f-7b4d-4d94-9663-be4e5b230cb6 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Unresolved cited work
Reference 77
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Observation 1465ed5f-fb5d-4e46-96a4-80e45f355fe5 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size SlimPajama: A 627B token cleaned and deduplicated version of RedPajama , 2023
Reference 78
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Observation 872d84e4-024e-44f0-b87c-f628df32b0d0 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Roformer: Enhanced transformer with rotary position embedding, 2023
Reference 79
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Observation d60fc248-cc9c-43d2-b4e6-15152672532b · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Training data-efficient image transformers & distillation through attention
Reference 80
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Observation 502f7226-7a91-4b88-b7a3-9667ae9cce9a · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size LLaMA: Open and Efficient Foundation Language Models
Reference 81
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Closing the gap between the upper bound and lower bound of adam's iteration complexity
Reference 82
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size A modular analysis of provable acceleration via polyak’s momentum: Training a wide relu network and a deep linear network
Reference 83
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Provable acceleration of heavy ball beyond quadratics for a class of polyak-lojasiewicz functions when the non-convexity is averaged-out
Reference 84
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Reference 85
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Adagrad stepsizes: Sharp convergence over nonconvex landscapes
Reference 86
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Pytorch image models
Reference 87
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size The marginal value of adaptive gradient methods in machine learning
Reference 88
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Small-scale proxies for large-scale Transformer training instabilities
Reference 89
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Rethinking Conventional Wisdom in Machine Learning: From Generalization to Scaling
Reference 90
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Tensor Programs V: Tuning Large Neural Networks via Zero-Shot Hyperparameter Transfer
Reference 91
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Observation e2fadc0d-6e97-4015-b734-024a70326937 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size A Spectral Condition for Feature Learning
Reference 92
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Observation 79910aa5-df7b-4bc9-8d1e-aa6fc5ede60b · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Root mean square layer normalization, 2019
Reference 93
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Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Three Mechanisms of Weight Decay Regularization
Reference 94
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Observation 275d864c-e90d-4c78-b56f-a8aebcf0ad94 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Why gradient clipping accelerates training: A theoretical justification for adaptivity
Reference 95
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Observation e5677c9c-4358-472b-8d5c-8b4a8209a0c5 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Why are adaptive methods good for attention models? Advances in Neural Information Processing Systems, 2020
Reference 96
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Observation be2b43dd-a363-4388-aee0-e9b00845ae87 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance
Reference 97
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Observation ba293250-776b-4161-8682-bd24ed140fbb · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size OPT: Open Pre-trained Transformer Language Models
Reference 98
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Observation 0b1bdd6f-6eda-4668-93dd-80e1fe93e523 · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Why Transformers Need Adam: A Hessian Perspective
Reference 99
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Observation 59428661-2869-4a47-8111-81f1d806528a · outbound
Enhancing Optimizer Stability: Momentum Adaptation of The NGN Step-size Adabelief optimizer: Adapting stepsizes by the belief in observed gradients
Reference 100
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No inbound Pith citation observations are available.