Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-16T08:03:15.785558Z
Paper Citation Record · LEDGER
The Effect of Mini-Batch Noise on the Implicit Bias of Adam
As of 5 August 2026, this Paper Citation Record lists 83 of 83 outbound references and 2 inbound Pith citation observations for arXiv:2602.01642.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-31T02:16:07.806062Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-06-29T13:23:28.008798Z
Reference resolution
83 of 83 outbound references displayed
- verified exact11
- verified fuzzy69
- unresolved1
- parse uncertain0
- malformed identifier1
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 259a5dbe-1e12-4cb3-985c-6e31e3399b34 · outbound
This paper cites A Modern Look at the Relationship between Sharpness and Generalization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam A Modern Look at the Relationship between Sharpness and Generalization
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.246637Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a533e2f3-9ffa-4cab-b4f4-049b60b6fd57 · outbound
This paper cites an unresolved cited work.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T08:07:35.238921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 832dfbf4-560c-4635-bfac-10550e5fb72f · outbound
This paper cites PaLM 2 Technical Report.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam PaLM 2 Technical Report
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.265810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fcc4ad15-7c84-43dd-8711-7f9c86f30fae · outbound
This paper cites Understanding Gradient Descent on the Edge of Stability in Deep Learning.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Understanding Gradient Descent on the Edge of Stability in Deep Learning
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.236583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3c4586db-93d4-4e53-8b83-8117d975a3b4 · outbound
This paper cites Implicit Gradient Regularization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Implicit Gradient Regularization
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.223668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 95bf7d69-9f6e-4e84-8459-38618df4df00 · outbound
This paper cites On the Trajectories of SGD Without Replacement.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam On the Trajectories of SGD Without Replacement
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T08:07:34.276285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f31f9aa9-6dfd-4b89-a186-fece1de3b5d5 · outbound
This paper cites Pythia: A Suite for Analyzing Large Language Models Across Training and Scaling.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Pythia: A Suite for Analyzing Large Language Models Across Training and Scaling
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.211674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 69b6e555-57d5-46c8-a352-496faf4932bd · outbound
This paper cites Language Models are Few-Shot Learners.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Language Models are Few-Shot Learners
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.195085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4ca4f547-2f58-42fb-a328-998492640079 · outbound
This paper cites Modified Loss of Momentum Gradient Descent: Fine-Grained Analysis.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Modified Loss of Momentum Gradient Descent: Fine-Grained Analysis
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T08:07:34.259449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bf2f534f-af61-444e-8a55-98e4085e8553 · outbound
This paper cites On the Implicit Bias of Adam.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam On the Implicit Bias of Adam
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.372671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation de1913af-4a88-4af9-9387-2cece511f947 · outbound
This paper cites How Memory in Optimization Algorithms Implicitly Modifies the Loss.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam How Memory in Optimization Algorithms Implicitly Modifies the Loss
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.370174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 288e2e44-c8f7-4195-a98d-49667f2f01fe · outbound
This paper cites Adaptive Methods through the Lens of SDEs: Theoretical Insights on the Role of Noise.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Adaptive Methods through the Lens of SDEs: Theoretical Insights on the Role of Noise
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.360484Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 39d63884-eab0-4a5c-a984-123f67e4453a · outbound
This paper cites Transformer-XL: Attentive Language Models beyond a Fixed-Length Context.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Transformer-XL: Attentive Language Models beyond a Fixed-Length Context
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.357917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a27417ed-ba7b-4007-b894-955050653dc5 · outbound
This paper cites Label Noise SGD Provably Prefers Flat Global Minimizers.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Label Noise SGD Provably Prefers Flat Global Minimizers
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.350708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 19ef7a89-f00f-4b49-867c-c89b776e2aca · outbound
This paper cites Sharp Minima Can Generalize For Deep Nets.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Sharp Minima Can Generalize For Deep Nets
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.343325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ec112a9b-32ee-4cd2-998e-05a859f10aef · outbound
This paper cites Sharpness-Aware Training for Free.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Sharpness-Aware Training for Free
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.337836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bd88e28f-76a8-4314-b1b3-6176656ec2e8 · outbound
This paper cites The Llama 3 Herd of Models.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam The Llama 3 Herd of Models
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.286211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d34315e8-9353-4a4c-a54c-67bf0db3f645 · outbound
This paper cites Multiscale analysis of accelerated gradient methods.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Multiscale analysis of accelerated gradient methods
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.334871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 087abeef-3820-45d6-bc1a-9c840dbca434 · outbound
This paper cites Sharpness-aware Minimization for Efficiently Improving Generalization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Sharpness-aware Minimization for Efficiently Improving Generalization
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.331872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c085a2bc-86d8-4286-b237-a8ac2d64dc72 · outbound
This paper cites Implicit regularization in Heavy-ball momentum accelerated stochastic gradient descent.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Implicit regularization in Heavy-ball momentum accelerated stochastic gradient descent
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.329287Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f9c1d5f4-1f30-4b02-948e-7f0625c3448a · outbound
This paper cites Characterizing implicit bias in terms of optimization geometry.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Characterizing implicit bias in terms of optimization geometry
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.326617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1c031d9d-7154-464f-af34-4fe6b2e02efd · outbound
This paper cites Implicit bias of gradient descent on linear convolutional networks.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Implicit bias of gradient descent on linear convolutional networks
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.323986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 110bb86e-2414-4948-926a-0b868e5a835d · outbound
This paper cites SIMPLIFYING NEURAL NETS BY DISCOVERING FLAT MINIMA.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam SIMPLIFYING NEURAL NETS BY DISCOVERING FLAT MINIMA
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.321510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation aa510e92-fd0c-48ed-864f-a93649d437f8 · outbound
This paper cites Directional convergence and alignment in deep learning.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Directional convergence and alignment in deep learning
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.319080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 64d2a43b-906c-4817-870c-e6afb88a40a6 · outbound
This paper cites Gradient descent aligns the layers of deep linear networks.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Gradient descent aligns the layers of deep linear networks
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.293910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3cb1b50a-8ac2-4b01-85db-9d4476b1c361 · outbound
This paper cites Risk and parameter convergence of logistic regression.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Risk and parameter convergence of logistic regression
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.282618Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bd2f80f0-418c-4f84-aebb-2f8e44bb7aff · outbound
This paper cites The implicit bias of gradient descent on nonseparable data.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam The implicit bias of gradient descent on nonseparable data
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.316364Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 00c36c5e-6ba2-42ad-9c45-9061e75029c0 · outbound
This paper cites Fantastic Generalization Measures and Where to Find Them.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Fantastic Generalization Measures and Where to Find Them
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.313439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2eb6fef4-4445-43b1-8062-b4b18cd287a7 · outbound
This paper cites On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.310675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a28c1a92-965a-4bce-bfc5-dedd730955e5 · outbound
This paper cites 2025 (cit.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam 2025 (cit
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.308224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a42f1662-81d6-45b4-b176-8bdf817b45b1 · outbound
This paper cites Fisher SAM: Information Geometry and Sharpness Aware Minimisation.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Fisher SAM: Information Geometry and Sharpness Aware Minimisation
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.305756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1b43ae9a-abae-484a-88b8-cf3ead11ee8b · outbound
This paper cites Adam: A Method for Stochastic Optimization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Adam: A Method for Stochastic Optimization
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.279231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 715b89a2-cfc2-47d9-bd59-bafa2c18017f · outbound
This paper cites Weight decay induces low-rank attention layers.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Weight decay induces low-rank attention layers
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.303297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation db789b33-006f-4bad-8421-6c6a9c66e5f5 · outbound
This paper cites Continuous time analysis of momentum methods.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Continuous time analysis of momentum methods
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.300614Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a3ada450-cb68-4cb3-bece-a6118061d85c · outbound
This paper cites Noise Is Not the Main Factor Behind the Gap Between Sgd and Adam on Transformers, But Sign Descent Might Be.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Noise Is Not the Main Factor Behind the Gap Between Sgd and Adam on Transformers, But Sign Descent Might Be
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.298083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ea22ca68-e6b1-4053-8d05-5eea4d9d923e · outbound
This paper cites ASAM: Adaptive Sharpness-Aware Minimization for Scale-Invariant Learning of Deep Neural Networks.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam ASAM: Adaptive Sharpness-Aware Minimization for Scale-Invariant Learning of Deep Neural Networks
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.295370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6c1ff5ba-136e-4b29-b2c8-f7cc7fe528f9 · outbound
This paper cites Enhancing Sharpness-Aware Optimization Through Variance Suppression.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Enhancing Sharpness-Aware Optimization Through Variance Suppression
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.292943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d0daa434-08cd-4b2a-ad5d-0ee45d7ef51e · outbound
This paper cites Friendly Sharpness-Aware Minimization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Friendly Sharpness-Aware Minimization
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.290406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 59454159-8529-46cb-8817-77d8b02386d5 · outbound
This paper cites Towards Efficient and Scalable Sharpness-Aware Minimization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Towards Efficient and Scalable Sharpness-Aware Minimization
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.287829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 00ab6625-81c2-4505-9f08-0d67b92687b0 · outbound
This paper cites 2019 (cit.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam 2019 (cit
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.285414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 30f640a0-f9c6-4080-a86b-63a2450af2e9 · outbound
This paper cites Gradient Descent Maximizes the Margin of Homogeneous Neural Networks.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Gradient Descent Maximizes the Margin of Homogeneous Neural Networks
Reference 42
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-16T08:07:34.269457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7fcf2416-1207-4707-b696-328b9d7fd62f · outbound
This paper cites A Qualitative Study of the Dynamic Behavior for Adaptive Gradient Algorithms.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam A Qualitative Study of the Dynamic Behavior for Adaptive Gradient Algorithms
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.282595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1d6211d6-3d05-4cbf-854a-65262e4f1ae0 · outbound
This paper cites On the SDEs and Scaling Rules for Adaptive Gradient Algorithms.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam On the SDEs and Scaling Rules for Adaptive Gradient Algorithms
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.280027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 16181f8a-d0b3-40fd-a89b-2b2e1658e3f2 · outbound
This paper cites Small Batch Size Training for Language Models: When Vanilla SGD Works, and Why Gradient Accumulation is Wasteful.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Small Batch Size Training for Language Models: When Vanilla SGD Works, and Why Gradient Accumulation is Wasteful
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.277495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4c15face-ecea-433f-92c8-ed331fc393eb · outbound
This paper cites 2018 (cit.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam 2018 (cit
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.275114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b6538872-dfe5-455a-a3f1-b838d7ceb38e · outbound
This paper cites Pointer Sentinel Mixture Models.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Pointer Sentinel Mixture Models
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.272662Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3344bb9c-119b-4a88-ab21-d25ceda4bede · outbound
This paper cites Toward Equation of Motion for Deep Neural Networks: Continuous-time Gradient Descent and Discretization Error Analysis.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Toward Equation of Motion for Deep Neural Networks: Continuous-time Gradient Descent and Discretization Error Analysis
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.269969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ff12b064-a3fd-4e14-8a2e-3c291ebc7791 · outbound
This paper cites Stochastic gradient descent on separable data: Exact convergence with a fixed learning rate.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Stochastic gradient descent on separable data: Exact convergence with a fixed learning rate
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.267229Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 08daf478-d343-4b1e-963b-c4846e5f10c4 · outbound
This paper cites Convergence of gradient descent on separable data.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Convergence of gradient descent on separable data
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.264615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 31e4c776-914b-43ea-92ba-de5ef52fe999 · outbound
This paper cites Lexicographic and depth-sensitive margins in homogeneous and non- homogeneous deep models.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Lexicographic and depth-sensitive margins in homogeneous and non- homogeneous deep models
Reference 51
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.262083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1265a202-8da1-4b5a-b3d1-d617d7563e28 · outbound
This paper cites In Search of Adam’s Secret Sauce.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam In Search of Adam’s Secret Sauce
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.259557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation dc2f707d-decd-4e56-b804-40ad7df12a50 · outbound
This paper cites The AdEMAMix Optimizer: Better, Faster, Older.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam The AdEMAMix Optimizer: Better, Faster, Older
Reference 53
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.257116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 95d83c9e-79c5-4eb4-a17f-051e62e10bc5 · outbound
This paper cites Resolving Discrepancies in Compute-Optimal Scaling of Language Models.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Resolving Discrepancies in Compute-Optimal Scaling of Language Models
Reference 54
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.254473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d23a6e93-12ce-4db5-9835-606e5c8c98a6 · outbound
This paper cites The implicit bias of adagrad on separable data.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam The implicit bias of adagrad on separable data
Reference 55
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.251686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d6866641-1196-4d4c-b211-007ffd229156 · outbound
This paper cites A Scale Invariant Measure of Flatness for Deep Network Minima.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam A Scale Invariant Measure of Flatness for Deep Network Minima
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.249163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 370762c3-036e-422d-88a2-e2d6b9713482 · outbound
This paper cites On a continuous time model of gradient descent dynamics and instability in deep learning.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam On a continuous time model of gradient descent dynamics and instability in deep learning
Reference 57
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.243902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2283e755-d5c8-4a02-afb9-0f45653a8253 · outbound
This paper cites Descending through a Crowded Valley - Benchmarking Deep Learning Optimizers.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Descending through a Crowded Valley - Benchmarking Deep Learning Optimizers
Reference 58
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.241409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 866a2720-3a32-4793-8622-43f1f6cabe4e · outbound
This paper cites Adafactor: Adaptive learning rates with sublinear memory cost.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Adafactor: Adaptive learning rates with sublinear memory cost
Reference 59
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.233969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 28cc48b0-ced5-4761-826e-93bb6deadebe · outbound
This paper cites Optimizer benchmarking needs to account for hyperparameter tuning.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Optimizer benchmarking needs to account for hyperparameter tuning
Reference 60
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.231583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4323f4e0-8d94-4844-b184-6c64986940e6 · outbound
This paper cites On the Origin of Implicit Regularization in Stochastic Gradient Descent.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam On the Origin of Implicit Regularization in Stochastic Gradient Descent
Reference 61
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.229043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0d32c139-575e-4ece-aa04-f899352a79aa · outbound
This paper cites The implicit bias of gradient descent on separable data.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam The implicit bias of gradient descent on separable data
Reference 62
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.226510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f41618bd-64db-4be9-bd58-4943ba72f790 · outbound
This paper cites A Universal Class of Sharpness-Aware Minimization Algorithms.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam A Universal Class of Sharpness-Aware Minimization Algorithms
Reference 63
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.221042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1c8a7ef0-52e5-4acb-b28d-2902b7d5324e · outbound
This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Llama 2: Open Foundation and Fine-Tuned Chat Models
Reference 64
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.290223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c627a75c-f7ed-4660-ad95-7b45dfabd633 · outbound
This paper cites Normalized Flat Minima: Exploring Scale Invariant Definition of Flat Minima for Neural Networks Using PAC-Bayesian Analysis.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Normalized Flat Minima: Exploring Scale Invariant Definition of Flat Minima for Neural Networks Using PAC-Bayesian Analysis
Reference 65
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.217754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9cd1ed24-92b3-4f1c-ad61-aa4b26c55916 · outbound
This paper cites Position: Will we run out of data? Limits of LLM scaling based on human- generated data.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Position: Will we run out of data? Limits of LLM scaling based on human- generated data
Reference 66
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.214783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2a8c0539-9519-40f1-a2ac-6fc754652b3b · outbound
This paper cites Does Momentum Change the Implicit Regularization on Separable Data?.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Does Momentum Change the Implicit Regularization on Separable Data?
Reference 67
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.207880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b383f808-8fbb-44e3-9b5e-86223d8dbec8 · outbound
This paper cites The Implicit Bias for Adaptive Optimization Algorithms on Homogeneous Neural Networks.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam The Implicit Bias for Adaptive Optimization Algorithms on Homogeneous Neural Networks
Reference 68
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.204493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f55999e9-c070-4c34-8f2e-32f7bf92e848 · outbound
This paper cites 2025 (cit.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam 2025 (cit
Reference 69
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.201311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d7a884fd-e6d6-4848-b02f-5d4a1f88db54 · outbound
This paper cites 2025 (cit.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam 2025 (cit
Reference 70
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.198347Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 486f2236-7a9c-42a3-93f3-9cc9313cce3e · outbound
This paper cites Implicit Bias of AdamW: ℓ∞-Norm Constrained Optimization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Implicit Bias of AdamW: ℓ∞-Norm Constrained Optimization
Reference 71
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.191922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5370cd6f-6449-4d01-9cf8-0c99195ba459 · outbound
This paper cites SAMPa: Sharpness-aware Minimization Par- allelized.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam SAMPa: Sharpness-aware Minimization Par- allelized
Reference 72
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.186538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7c12507c-d82f-43c5-b542-f53187a90551 · outbound
This paper cites Adaptive Inertia: Disentangling the Effects of Adaptive Learning Rate and Momen- tum.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Adaptive Inertia: Disentangling the Effects of Adaptive Learning Rate and Momen- tum
Reference 73
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.183436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 53d57a2b-9fb2-41fb-a9f2-ef7688952b8a · outbound
This paper cites Positively Scale-Invariant Flatness of ReLU Neural Networks.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Positively Scale-Invariant Flatness of ReLU Neural Networks
Reference 74
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.262668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 13fd7bd0-489e-42f6-bf18-0a0a0f143239 · outbound
This paper cites GLM-130B: An Open Bilingual Pre-trained Model.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam GLM-130B: An Open Bilingual Pre-trained Model
Reference 75
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T08:07:34.272853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 835943a9-8a66-423e-8a9c-e5a55b18f916 · outbound
This paper cites Three Mechanisms of Weight Decay Regularization.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Three Mechanisms of Weight Decay Regularization
Reference 76
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.367450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1d703a4d-aeee-4919-ad8a-1a9a2335f775 · outbound
This paper cites How Does Critical Batch Size Scale in Pre-training?.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam How Does Critical Batch Size Scale in Pre-training?
Reference 77
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.365192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 374e3019-0360-4aec-b731-eb62cdc928fb · outbound
This paper cites Why are adaptive methods good for attention models?.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Why are adaptive methods good for attention models?
Reference 78
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.362818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 92cacf5d-5fa7-4c0b-bcbb-eb44854641df · outbound
This paper cites OPT: Open Pre-trained Transformer Language Models.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam OPT: Open Pre-trained Transformer Language Models
Reference 79
- Resolution
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- local_arxiv, observed 2026-05-16T08:07:34.297829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 02cdc0a7-8700-4eba-874c-b44e850afa6e · outbound
This paper cites Deconstructing What Makes a Good Optimizer for Autoregressive Language Models.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Deconstructing What Makes a Good Optimizer for Autoregressive Language Models
Reference 80
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.355502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation dca82baa-9aa5-46e5-a26d-3b9122a34c47 · outbound
This paper cites Regularizing Neural Networks via Adversarial Model Perturbation.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Regularizing Neural Networks via Adversarial Model Perturbation
Reference 81
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.352864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f832ec5b-055c-4287-9e70-71d7f26a5238 · outbound
This paper cites Towards Theoretically Understanding Why Sgd Generalizes Better Than Adam in Deep Learning.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Towards Theoretically Understanding Why Sgd Generalizes Better Than Adam in Deep Learning
Reference 82
- Resolution
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- raw_fallback, observed 2026-05-16T08:07:35.348475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 79d711d9-4c6d-43da-a334-9b4f314fe7c6 · outbound
This paper cites Towards Understanding Convergence and Generalization of AdamW.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam Towards Understanding Convergence and Generalization of AdamW
Reference 83
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T08:07:35.345758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f78646ce-893c-4d09-b6ab-bc1624672ba8 · outbound
This paper cites 2022 (cit.
The Effect of Mini-Batch Noise on the Implicit Bias of Adam 2022 (cit
Reference 84
- Resolution
- malformed identifier
- raw_fallback, observed 2026-05-16T08:07:35.340303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
Observation bf67973f-8e78-4004-a4de-ec8ec8bd0a2c · inbound
Do Deep Networks Forget Initialization? A Forgetting-Time View of Practical Inductive Bias cites this paper.
Do Deep Networks Forget Initialization? A Forgetting-Time View of Practical Inductive Bias The Effect of Mini-Batch Noise on the Implicit Bias of Adam
Reference 110
- Resolution
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- local_arxiv, observed 2026-06-29T13:23:28.010453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ef575262-d288-4069-b27f-0b5ed773a300 · inbound
Chimera: Designing and Chinchilla-Scaling Hybrid Visual Diffusion Transformers cites this paper.
Chimera: Designing and Chinchilla-Scaling Hybrid Visual Diffusion Transformers The Effect of Mini-Batch Noise on the Implicit Bias of Adam
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-07-31T02:16:07.806062Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.