activity
20172026
most citedImplicit Self-Regularization in Deep Neural Networks: Evidence from Random Matrix Theory and Implications for Learning

104 citations · 256 across the 9 of their papers we have counts for

collaborators

9 papers

cs.LG2026

Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory

Hari K. Prakash, Charles H Martin

Training Neural Networks (NNs) without overfitting is difficult; detecting that overfitting is difficult as well. We present a novel Random Matrix Theory method that detects the on…

cs.LG2023★ 2 cited

Temperature Balancing, Layer-wise Weight Analysis, and Neural Network Training

Yefan Zhou, Tianyu Pang, Keqin Liu +3

Regularization in modern machine learning is crucial, and it can take various forms in algorithmic design: training set, model family, error function, regularization terms, and opt…

cs.CL2022

Evaluating natural language processing models with generalization metrics that do not need access to any training or testing data

Yaoqing Yang, Ryan Theisen, Liam Hodgkinson +4

Selecting suitable architecture parameters and training hyperparameters is essential for enhancing machine learning (ML) model performance. Several recent empirical studies conduct…

cs.LG2021★ 3 cited

Post-mortem on a deep learning contest: a Simpson's paradox and the complementary roles of scale metrics versus shape metrics

Charles H. Martin, Michael W. Mahoney

To understand better good generalization performance in state-of-the-art neural network (NN) models, and in particular the success of the ALPHAHAT metric based on Heavy-Tailed Self…

cs.LG2020★ 72 cited

Predicting trends in the quality of state-of-the-art neural networks without access to training or testing data

Charles H. Martin, Tongsu, Peng +1

In many applications, one works with neural network models trained by someone else. For such pretrained models, one may not have access to training data or test data. Moreover, one…

cs.LG2019★ 40 cited

Traditional and Heavy-Tailed Self Regularization in Neural Network Models

Charles H. Martin, Michael W. Mahoney

Random Matrix Theory (RMT) is applied to analyze the weight matrices of Deep Neural Networks (DNNs), including both production quality, pre-trained models such as AlexNet and Incep…

cs.LG2019★ 9 cited

Heavy-Tailed Universality Predicts Trends in Test Accuracies for Very Large Pre-Trained Deep Neural Networks

Charles H. Martin, Michael W. Mahoney

Given two or more Deep Neural Networks (DNNs) with the same or similar architectures, and trained on the same dataset, but trained with different solvers, parameters, hyper-paramet…

cs.LG2018★ 104 cited

Implicit Self-Regularization in Deep Neural Networks: Evidence from Random Matrix Theory and Implications for Learning

Charles H. Martin, Michael W. Mahoney

Random Matrix Theory (RMT) is applied to analyze weight matrices of Deep Neural Networks (DNNs), including both production quality, pre-trained models such as AlexNet and Inception…

cs.LG2017★ 26 cited

Rethinking generalization requires revisiting old ideas: statistical mechanics approaches and complex learning behavior

Charles H. Martin, Michael W. Mahoney

We describe an approach to understand the peculiar and counterintuitive generalization properties of deep neural networks. The approach involves going beyond worst-case theoretical…