483 citations · 760 across the 48 of their papers we have counts for
5 papers · 1 filter
From Information to Generative Exponent: Learning Rate Induces Phase Transitions in SGD
Konstantinos Christopher Tsiolis, Alireza Mousavi-Hosseini, Murat A. Erdogdu
To understand feature learning dynamics in neural networks, recent theoretical works have focused on gradient-based learning of Gaussian single-index models, where the label is a n…
A Geometric Analysis of PCA
Ayoub El Hanchi, Murat Erdogdu, Chris Maddison
What property of the data distribution determines the excess risk of principal component analysis? In this paper, we provide a precise answer to this question. We establish a centr…
Learning quadratic neural networks in high dimensions: SGD dynamics and scaling laws
Gérard Ben Arous, Murat A. Erdogdu, Nuri Mert Vural +1
We study the optimization and sample complexity of gradient-based training of a two-layer neural network with quadratic activation function in the high-dimensional regime, where th…
Distributional Training Data Attribution: What do Influence Functions Sample?
Bruno Mlodozeniec, Isaac Reid, Sam Power +4
Randomness is an unavoidable part of training deep learning models, yet something that traditional training data attribution algorithms fail to rigorously account for. They ignore…
When Do Transformers Outperform Feedforward and Recurrent Networks? A Statistical Perspective
Alireza Mousavi-Hosseini, Clayton Sanford, Denny Wu +1
Theoretical efforts to prove advantages of Transformers in comparison with classical architectures such as feedforward and recurrent neural networks have mostly focused on represen…