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Implicit bias of SGD in $L_{2}$-regularized linear DNNs: One-way jumps
  from high to low rank
v1v2 (latest)

Implicit bias of SGD in L2L_{2}L2​-regularized linear DNNs: One-way jumps from high to low rank

25 May 2023
Zihan Wang
Arthur Jacot
ArXiv (abs)PDFHTML

Papers citing "Implicit bias of SGD in $L_{2}$-regularized linear DNNs: One-way jumps from high to low rank"

6 / 6 papers shown
Title
AlphaDecay: Module-wise Weight Decay for Heavy-Tailed Balancing in LLMs
AlphaDecay: Module-wise Weight Decay for Heavy-Tailed Balancing in LLMs
Di He
Ajay Jaiswal
Songjun Tu
Li Shen
Ganzhao Yuan
Shiwei Liu
L. Yin
20
0
0
17 Jun 2025
Saddle-To-Saddle Dynamics in Deep ReLU Networks: Low-Rank Bias in the First Saddle Escape
Saddle-To-Saddle Dynamics in Deep ReLU Networks: Low-Rank Bias in the First Saddle Escape
Ioannis Bantzis
James B. Simon
Arthur Jacot
ODL
39
0
0
27 May 2025
Position: Solve Layerwise Linear Models First to Understand Neural Dynamical Phenomena (Neural Collapse, Emergence, Lazy/Rich Regime, and Grokking)
Position: Solve Layerwise Linear Models First to Understand Neural Dynamical Phenomena (Neural Collapse, Emergence, Lazy/Rich Regime, and Grokking)
Yoonsoo Nam
Seok Hyeong Lee
Clementine Domine
Yea Chan Park
Charles London
Wonyl Choi
Niclas Goring
Seungjai Lee
AI4CE
204
1
0
28 Feb 2025
The Persistence of Neural Collapse Despite Low-Rank Bias: An Analytic
  Perspective Through Unconstrained Features
The Persistence of Neural Collapse Despite Low-Rank Bias: An Analytic Perspective Through Unconstrained Features
Connall Garrod
Jonathan P. Keating
65
4
0
30 Oct 2024
How DNNs break the Curse of Dimensionality: Compositionality and Symmetry Learning
How DNNs break the Curse of Dimensionality: Compositionality and Symmetry Learning
Arthur Jacot
Seok Hoan Choi
Yuxiao Wen
AI4CE
141
2
0
08 Jul 2024
Hamiltonian Mechanics of Feature Learning: Bottleneck Structure in Leaky ResNets
Hamiltonian Mechanics of Feature Learning: Bottleneck Structure in Leaky ResNets
Arthur Jacot
Alexandre Kaiser
72
1
0
27 May 2024
1