mlsanityData to 7 Oct 2026

The Two Regimes of Deep Network Training

arXiv 2002.10376 ↗First posted 24 Feb 2020cs.LG stat.MLcited by 30

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Abstract (arXiv)

Learning rate schedule has a major impact on the performance of deep learning models. Still, the choice of a schedule is often heuristical. We aim to develop a precise understanding of the effects of different learning rate schedules and the appropriate way to select them. To this end, we isolate two distinct phases of training, the first, which we refer to as the "large-step" regime, exhibits a rather poor performance from an optimization point of view but is the primary contributor to model generalization; the latter, "small-step" regime exhibits much more "convex-like" optimization behavior but used in isolation produces models that generalize poorly. We find that by treating these regimes separately-and em specializing our training algorithm to each one of them, we can significantly simplify learning rate schedules.

Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). First posted on arXiv 24 Feb 2020.

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Citing papers per year: 2021: 7; 2022: 6; 2023: 7; 2024: 4; 2025: 3; 2026: 3.

30 papers.

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  1. 2023TRAK: Attributing Model Behavior at Scalecited by 273
  2. 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
  3. 2022High-dimensional Asymptotics of Feature Learning: How One Gradient Step Improves the Representationcited by 146
  4. 2021Improved architectures and training algorithms for deep operator networkscited by 85
  5. 2021Pufferfish: Communication-efficient Models At No Extra Costcited by 61
  6. 2021Noether's Learning Dynamics: Role of Symmetry Breaking in Neural Networkscited by 47
  7. 2024The AdEMAMix Optimizer: Better, Faster, Oldercited by 47
  8. 2022Towards understanding how momentum improves generalization in deep learningcited by 40
  9. 2022Spectral Evolution and Invariance in Linear-width Neural Networkscited by 30
  10. 2022Training Your Sparse Neural Network Better with Any Maskcited by 26
  11. 2021A Generalizable Approach to Learning Optimizerscited by 23
  12. 2023Phase diagram of early training dynamics in deep neural networks: effect of the learning rate, depth, and widthcited by 19
18 more
  1. 2023A Rainbow in Deep Network Black Boxescited by 18
  2. 2023When and Why Momentum Accelerates SGD:An Empirical Studycited by 17
  3. 2021How I Learned to Stop Worrying and Love Retrainingcited by 12
  4. 2021Provable Super-Convergence with a Large Cyclical Learning Ratecited by 10
  5. 2022Are Straight-Through gradients and Soft-Thresholding all you need for Sparse Training?cited by 9
  6. 2024Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networkscited by 9
  7. 2022On generalization bounds for deep networks based on loss surface implicit regularizationcited by 5
  8. 2023Continuized Acceleration for Quasar Convex Functions in Non-Convex Optimizationcited by 5
  9. 2024Collective variables of neural networks: empirical time evolution and scaling lawscited by 3
  10. 2023Effective Neural Network L0 Regularization With BinMaskcited by 2
  11. 2024Can Optimization Trajectories Explain Multi-Task Transfer?cited by 2
  12. 2025Scaling depth capacity via zero/one-layer model expansioncited by 1
  13. 2026Dynamic Momentum Recalibration in Online Gradient Learningcited by 1
  14. 2026On Interpolation Formulas Describing Neural Network Generalizationcited by 1
  15. 2023Signal Processing Meets SGD: From Momentum to Filtercited by 0
  16. 2025Enlightenment Period Improving DNN Performancecited by 0
  17. 2025Heavy-Ball Momentum Method in Continuous Time and Discretization Error Analysiscited by 0
  18. 2026Large Spikes in Stochastic Gradient Descent: A Large-Deviations Viewcited by 0