An exact characterization of the generalization error for the Gibbs algorithm

G Aminian, Y Bu, L Toni… - Advances in Neural …, 2021 - proceedings.neurips.cc
Various approaches have been developed to upper bound the generalization error of a
supervised learning algorithm. However, existing bounds are often loose and lack of …

Generalization bounds: Perspectives from information theory and PAC-Bayes

F Hellström, G Durisi, B Guedj, M Raginsky - arXiv preprint arXiv …, 2023 - arxiv.org
A fundamental question in theoretical machine learning is generalization. Over the past
decades, the PAC-Bayesian approach has been established as a flexible framework to …

Limitations of information-theoretic generalization bounds for gradient descent methods in stochastic convex optimization

M Haghifam, B Rodríguez-Gálvez… - International …, 2023 - proceedings.mlr.press
To date, no “information-theoretic” frameworks for reasoning about generalization error have
been shown to establish minimax rates for gradient descent in the setting of stochastic …

Rate-distortion theoretic generalization bounds for stochastic learning algorithms

M Sefidgaran, A Gohari, G Richard… - … on Learning Theory, 2022 - proceedings.mlr.press
Understanding generalization in modern machine learning settings has been one of the
major challenges in statistical learning theory. In this context, recent years have witnessed …

[Retracted] DeepCompNet: A Novel Neural Net Model Compression Architecture

M Mary Shanthi Rani, P Chitra… - Computational …, 2022 - Wiley Online Library
The emergence of powerful deep learning architectures has resulted in breakthrough
innovations in several fields such as healthcare, precision farming, banking, education, and …

Characterizing and understanding the generalization error of transfer learning with Gibbs algorithm

Y Bu, G Aminian, L Toni, GW Wornell… - International …, 2022 - proceedings.mlr.press
We provide an information-theoretic analysis of the generalization ability of Gibbs-based
transfer learning algorithms by focusing on two popular empirical risk minimization (ERM) …

Tighter expected generalization error bounds via convexity of information measures

G Aminian, Y Bu, GW Wornell… - … on Information Theory …, 2022 - ieeexplore.ieee.org
Generalization error bounds are essential to understanding machine learning algorithms.
This paper presents novel expected generalization error upper bounds based on the …

Information-theoretic characterizations of generalization error for the Gibbs algorithm

G Aminian, Y Bu, L Toni… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
Various approaches have been developed to upper bound the generalization error of a
supervised learning algorithm. However, existing bounds are often loose and even vacuous …

Data-dependent generalization bounds via variable-size compressibility

M Sefidgaran, A Zaidi - IEEE Transactions on Information …, 2024 - ieeexplore.ieee.org
In this paper, we establish novel data-dependent upper bounds on the generalization error
through the lens of a “variable-size compressibility” framework that we introduce newly here …

Slicing Mutual Information Generalization Bounds for Neural Networks

K Nadjahi, K Greenewald, RB Gabrielsson… - arXiv preprint arXiv …, 2024 - arxiv.org
The ability of machine learning (ML) algorithms to generalize well to unseen data has been
studied through the lens of information theory, by bounding the generalization error with the …