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20172026
most citedGradient Descent Maximizes the Margin of Homogeneous Neural Networks

102 citations · 280 across the 26 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

cs.LG2023★ 2 cited

Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking

Kaifeng Lyu, Jikai Jin, Zhiyuan Li +3

Recent work by Power et al. (2022) highlighted a surprising "grokking" phenomenon in learning arithmetic tasks: a neural net first "memorizes" the training set, resulting in perfec…

cs.LG2023

A Quadratic Synchronization Rule for Distributed Deep Learning

Xinran Gu, Kaifeng Lyu, Sanjeev Arora +2

In distributed deep learning with data parallelism, synchronizing gradients at each training step can cause a huge communication overhead, especially when many nodes work together…

cs.CL2023★ 4 cited

DistillSpec: Improving Speculative Decoding via Knowledge Distillation

Yongchao Zhou, Kaifeng Lyu, Ankit Singh Rawat +5

Speculative decoding (SD) accelerates large language model inference by employing a faster draft model for generating multiple tokens, which are then verified in parallel by the la…

cs.LG2023★ 1 cited

The Marginal Value of Momentum for Small Learning Rate SGD

Runzhe Wang, Sadhika Malladi, Tianhao Wang +2

Momentum is known to accelerate the convergence of gradient descent in strongly convex settings without stochastic gradient noise. In stochastic optimization, such as training neur…

cs.LG2023

Why (and When) does Local SGD Generalize Better than SGD?

Xinran Gu, Kaifeng Lyu, Longbo Huang +1

Local SGD is a communication-efficient variant of SGD for large-scale training, where multiple GPUs perform SGD independently and average the model parameters periodically. It has…

cs.LG2023★ 1 cited

Understanding Incremental Learning of Gradient Descent: A Fine-grained Analysis of Matrix Sensing

Jikai Jin, Zhiyuan Li, Kaifeng Lyu +2

It is believed that Gradient Descent (GD) induces an implicit bias towards good generalization in training machine learning models. This paper provides a fine-grained analysis of t…