activity
20232026
most citedA Theoretical Analysis of Noise Geometry in Stochastic Gradient Descent

1 citations · 1 across the 9 of their papers we have counts for

collaborators

10 papers

cs.LG2026

How Does Local Landscape Geometry Evolve in Language Model Pre-Training?

Zhanpeng Zhou, Yuhan Sun, Bingrui Li +4

The scale and expense of pre-training language models make efficient hyperparameter tuning essential, yet a principled guidance is still missing. In this work, we analyze language…

stat.ML2026

Momentum in large-batch training: Polyak enlarges the critical batch size, Nesterov improves data efficiency

Jia-Nan Wang, Zixun Huang, Kairui Li +2

We study when and how momentum improves large-batch training in the one-pass regime, using power-law kernel regression as a tractable setting. We first characterize stochastic stab…

cs.LG2026

Effective Learning Rate Governs Loss Dynamics in Language Model Pretraining

Zihan Liu, Ruiheng Zheng, Shaobo Zhang +4

We uncover ELR collapse in language model pretraining: learning rate (LR) and parameter norm govern loss dynamics primarily through their ratio, the effective learning rate (ELR).…

cs.LG2025

GradPower: Powering Gradients for Faster Language Model Pre-Training

Jinbo Wang, Mingze Wang, Jiaqi Zhang +5

We propose GradPower, a lightweight gradient-transformation technique for accelerating language model pre-training. Given a gradient vector , GradPower first applies the…

cs.LG2025

The Sharpness Disparity Principle in Transformers for Accelerating Language Model Pre-Training

Jinbo Wang, Mingze Wang, Zhanpeng Zhou +3

Transformers consist of diverse building blocks, such as embedding layers, normalization layers, self-attention mechanisms, and point-wise feedforward networks. Thus, understanding…

cs.LG2024

How Transformers Get Rich: Approximation and Dynamics Analysis

Mingze Wang, Ruoxi Yu, Weinan E +1

Transformers have demonstrated exceptional in-context learning capabilities, yet the theoretical understanding of the underlying mechanisms remains limited. A recent work (Elhage e…

cs.LG2024

Improving Generalization and Convergence by Enhancing Implicit Regularization

Mingze Wang, Jinbo Wang, Haotian He +6

In this work, we propose an Implicit Regularization Enhancement (IRE) framework to accelerate the discovery of flat solutions in deep learning, thereby improving generalization and…

cs.LG2024

Parameter Symmetry and Noise Equilibrium of Stochastic Gradient Descent

Liu Ziyin, Mingze Wang, Hongchao Li +1

Symmetries are prevalent in deep learning and can significantly influence the learning dynamics of neural networks. In this paper, we examine how exponential symmetries -- a broad…

cs.LG2023

Achieving Margin Maximization Exponentially Fast via Progressive Norm Rescaling

Mingze Wang, Zeping Min, Lei Wu

In this work, we investigate the margin-maximization bias exhibited by gradient-based algorithms in classifying linearly separable data. We present an in-depth analysis of the spec…

cs.LG2023★ 1 cited

A Theoretical Analysis of Noise Geometry in Stochastic Gradient Descent

Mingze Wang, Lei Wu

In this paper, we provide a theoretical study of noise geometry for minibatch stochastic gradient descent (SGD), a phenomenon where noise aligns favorably with the geometry of loca…