Online Bayesian shrinkage regression

Authors: Jamil, W., Bouchachia, A.

Journal: Esann 2019 Proceedings 27th European Symposium on Artificial Neural Networks Computational Intelligence and Machine Learning

Publication Date: 01/01/2019

Pages: 431-436

Abstract:

The present work introduces a new online regression method that extends the Shrinkage via Limit of Gibbs sampler (SLOG) in the context of online learning. In particular, we theoretically demonstrate that the proposed Online SLOG (OSLOG) is derived using the Bayesian framework without resorting to the Gibbs sampler. We also state the performance guarantee of OSLOG.

https://eprints.bournemouth.ac.uk/32716/

Source: Scopus

Online Bayesian shrinkage regression

Authors: Jamil, W., Bouchachia, A.

Journal: Neural Computing and Applications

Publication Date: 01/12/2020

Volume: 32

Issue: 23

Pages: 17759-17767

eISSN: 1433-3058

ISSN: 0941-0643

DOI: 10.1007/s00521-020-04947-y

Abstract:

The present work introduces an original and new online regression method that extends the shrinkage via limit of Gibbs sampler (SLOG) in the context of online learning. In particular, we theoretically show how the proposed online SLOG (OSLOG) is obtained using the Bayesian framework without resorting to the Gibbs sampler or considering a hierarchical representation. Moreover, in order to define the performance guarantee of OSLOG, we derive an upper bound on the cumulative squared loss. It is the only online regression algorithm with sparsity that gives logarithmic regret. Furthermore, we do an empirical comparison with two state-of-the-art algorithms to illustrate the performance of OSLOG relying on three aspects: normality, sparsity and multicollinearity showing an excellent achievement of trade-off between these properties.

https://eprints.bournemouth.ac.uk/32716/

Source: Scopus

Online Bayesian shrinkage regression

Authors: Jamil, W., Bouchachia, A.

Journal: NEURAL COMPUTING & APPLICATIONS

Publication Date: 12/2020

Volume: 32

Issue: 23

Pages: 17759-17767

eISSN: 1433-3058

ISSN: 0941-0643

DOI: 10.1007/s00521-020-04947-y

https://eprints.bournemouth.ac.uk/32716/

Source: Web of Science

Online Bayesian Shrinkage Regression

Authors: Jamil, W., Bouchachia, A.

Conference: ESANN 2019: The 27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning

Dates: 24/04/2019

Publication Date: 24/04/2019

https://eprints.bournemouth.ac.uk/32716/

Source: Manual

Online Bayesian Shrinkage Regression

Authors: Bouchachia, A.

Conference: 2019 proceedings, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning.

Dates: 24/04/2019

Publication Date: 01/05/2019

Abstract:

The present work introduces a new online regression method that extends the Shrinkage via Limit of Gibbs sampler (SLOG) in the context of online learning. In particular, we theoretically demonstrate that the proposed Online SLOG (OSLOG) is derived using the Bayesian framework without resorting to the Gibbs sampler. We also state the performance guarantee of OSLOG.

https://eprints.bournemouth.ac.uk/32716/

Source: Manual