% Key papers for Explicit and implicit regularization interplay (scime atlas, https://atlas.scime.ai). Authors are not included: add them from the paper pages.

@inproceedings{icml2018_on_36891,
  title = {{On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2018},
  url = {https://icml.cc/virtual/2018/poster/2422},
}

@inproceedings{neurips2019_uniform_59143,
  title = {{Uniform convergence may be unable to explain generalization in deep learning}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2019},
  url = {https://nips.cc/virtual/2019/poster/13240},
}

@inproceedings{iclr2019_gradient_28906,
  title = {{Gradient descent aligns the layers of deep linear networks}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2019},
  url = {https://iclr.cc/virtual/2019/poster/951},
}

@inproceedings{iclr2020_gradient_29612,
  title = {{Gradient Descent Maximizes the Margin of Homogeneous Neural Networks}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2020},
  url = {https://openreview.net/forum?id=SJeLIgBKPS},
}

@inproceedings{neurips2019_implicit_58395,
  title = {{Implicit Regularization in Deep Matrix Factorization}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2019},
  url = {https://nips.cc/virtual/2019/poster/14553},
}

@inproceedings{iclr2019_three_28749,
  title = {{Three Mechanisms of Weight Decay Regularization}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2019},
  url = {https://iclr.cc/virtual/2019/poster/1120},
}

@inproceedings{icml2020_the_38847,
  title = {{The Implicit and Explicit Regularization Effects of Dropout}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2020},
  url = {https://icml.cc/virtual/2020/poster/6763},
}

@inproceedings{neurips2020_on_60495,
  title = {{On the training dynamics of deep networks with \$L\_2\$ regularization}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2020},
  url = {https://nips.cc/virtual/2020/poster/18054},
}

@inproceedings{cvpr2019_on_14600,
  title = {{On Implicit Filter Level Sparsity in Convolutional Neural Networks}},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)},
  year = {2019},
}

@inproceedings{iclr2020_the_29427,
  title = {{The Implicit Bias of Depth: How Incremental Learning Drives Generalization}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2020},
  url = {https://openreview.net/forum?id=H1lj0nNFwB},
}

@inproceedings{icml2019_lexicographic_37514,
  title = {{Lexicographic and Depth-Sensitive Margins in Homogeneous and Non-Homogeneous Deep Models}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2019},
  url = {https://icml.cc/virtual/2019/poster/4224},
}

@inproceedings{neurips2018_algorithmic_56857,
  title = {{Algorithmic Regularization in Learning Deep Homogeneous Models: Layers are Automatically Balanced}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2018},
  url = {https://nips.cc/virtual/2018/poster/11063},
}

@inproceedings{neurips2019_implicit_58397,
  title = {{Implicit Regularization of Discrete Gradient Dynamics in Linear Neural Networks}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2019},
  url = {https://nips.cc/virtual/2019/poster/13500},
}

@inproceedings{iclr2021_on_30633,
  title = {{On the Theory of Implicit Deep Learning: Global Convergence with Implicit Layers}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2021},
  url = {https://iclr.cc/virtual/2021/poster/2935},
}

@inproceedings{icml2019_on_37590,
  title = {{On Dropout and Nuclear Norm Regularization}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2019},
  url = {https://icml.cc/virtual/2019/poster/4173},
}

@inproceedings{iclr2021_understanding_30431,
  title = {{Understanding the role of importance weighting for deep learning}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2021},
  url = {https://iclr.cc/virtual/2021/poster/2669},
}

@inproceedings{iclr2022_an_31367,
  title = {{An Unconstrained Layer-Peeled Perspective on Neural Collapse}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2022},
  url = {https://iclr.cc/virtual/2022/poster/6209},
}

@inproceedings{neurips2024_why_72718,
  title = {{Why Do We Need Weight Decay in Modern Deep Learning?}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/94670},
}

@inproceedings{aaai2020_understanding_102042,
  title = {{Understanding the Disharmony between Weight Normalization Family and Weight Decay}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2020},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/5904},
}

@inproceedings{iclr2022_demystifying_30891,
  title = {{Demystifying Batch Normalization in ReLU Networks: Equivalent Convex Optimization Models and Implicit Regularization}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2022},
  url = {https://iclr.cc/virtual/2022/poster/7099},
}

@inproceedings{icml2024_on_45387,
  title = {{On the Origins of Linear Representations in Large Language Models}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2024},
  url = {https://icml.cc/virtual/2024/poster/33064},
}

@inproceedings{neurips2024_implicit_74492,
  title = {{Implicit Optimization Bias of Next-token Prediction in Linear Models}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/93083},
}

@inproceedings{iclr2024_implicit_34356,
  title = {{Implicit bias of SGD in \$L\_2\$-regularized linear DNNs: One-way jumps from high to low rank}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2024},
  url = {https://iclr.cc/virtual/2024/poster/18719},
}

@inproceedings{aaai2025_explicit_9058,
  title = {{Explicit and Implicit Graduated Optimization in Deep Neural Networks}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2025},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/34234},
}

@inproceedings{iclr2024_implicit_33822,
  title = {{Implicit regularization of deep residual networks towards neural ODEs}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2024},
  url = {https://iclr.cc/virtual/2024/poster/19253},
}

@inproceedings{icml2024_implicit_43790,
  title = {{Implicit Bias of AdamW: \$ell\_infty\$-Norm Constrained Optimization}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2024},
  url = {https://icml.cc/virtual/2024/poster/34662},
}

@inproceedings{icml2024_on_45773,
  title = {{On the Implicit Bias of Adam}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2024},
  url = {https://icml.cc/virtual/2024/poster/32679},
}

@inproceedings{icml2025_grokking_47954,
  title = {{Grokking at the Edge of Linear Separability}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2025},
  url = {https://icml.cc/virtual/2025/poster/44651},
}

@inproceedings{icml2026_conflicting_49873,
  title = {{Conflicting Biases at the Edge of Stability: Norm versus Sharpness Regularization}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2026},
  url = {https://openreview.net/forum?id=6eI4YHFyON},
}

@inproceedings{neurips2024_deep_71238,
  title = {{Deep linear networks for regression are implicitly regularized towards flat minima}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/96004},
}

@inproceedings{neurips2025_variational_79237,
  title = {{Variational Learning Finds Flatter Solutions at the Edge of Stability}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2025},
  url = {https://openreview.net/forum?id=nIFFMrDQ5w},
}

@inproceedings{iclr2025_learning_81990,
  title = {{Learning High-Degree Parities: The Crucial Role of the Initialization}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2025},
  url = {https://iclr.cc/virtual/2025/poster/29795},
}

@inproceedings{iclr2025_mask_82300,
  title = {{Mask in the Mirror: Implicit Sparsification}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2025},
  url = {https://iclr.cc/virtual/2025/poster/29491},
}

@inproceedings{iclr2025_deep_83903,
  title = {{Deep Weight Factorization: Sparse Learning Through the Lens of Artificial Symmetries}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2025},
  url = {https://iclr.cc/virtual/2025/poster/27917},
}

@inproceedings{iclr2026_saddle_85155,
  title = {{Saddle-To-Saddle Dynamics in Deep ReLU Networks: Low-Rank Bias in the First Saddle Escape}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2026},
  url = {https://openreview.net/forum?id=B4zcoLvjw0},
}

@inproceedings{iclr2026_implicit_86230,
  title = {{Implicit Bias and Loss of Plasticity in Matrix Completion: Depth Promotes Low-Rankness}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2026},
  url = {https://openreview.net/forum?id=NYOYJr988x},
}

@inproceedings{iclr2026_hyperbolic_87070,
  title = {{Hyperbolic Aware Minimization: Implicit Bias for Sparsity}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2026},
  url = {https://openreview.net/forum?id=XKB5Hu0ACY},
}

@inproceedings{neurips2026_on_93421,
  title = {{On the Convergence Analysis of Muon}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2026},
  url = {https://neurips.cc/virtual/2026/poster/156746},
}

@inproceedings{neurips2026_estimating_93921,
  title = {{Estimating Implicit Regularization in Deep Learning}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2026},
  url = {https://neurips.cc/virtual/2026/poster/155112},
}