My main line of research is in statistical machine learning. I am primarily interested in the design, analysis and implementation of statistical learning methods for high dimensional problems. My interests include (but are not limited to): PAC-Bayesian theory, sparsity and high-dimensional statistics, optimisation theory, statistical learning theory, non-negative matrix factorisation, aggregation of estimators and classifiers, MCMC algorithms, (un)supervised learning, online clustering, concentration inequalities...
Preprints
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K. Nozawa, P. Germain and B. Guedj.
PAC-Bayesian Contrastive Unsupervised Representation Learning.
[ link ]
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B. Guedj and L. Pujol.
Still no free lunch: the price to pay for tighter PAC-Bayes bounds.
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Vincent Cohen-Addad, B. Guedj, Varun Kanade and Guy Rom.
Online k-means clustering.
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J. M. Zhang, E. T. Barr, B. Guedj, M. Harman and J. Shawe-Taylor.
Perturbed Model Validation: A New Framework to Validate Model Relevance.
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Stéphane Chretien and B. Guedj.
Revisiting clustering as matrix factorisation on the Stiefel manifold.
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B. Guedj and L. Li.
Sequential Learning of Principal Curves: Summarizing Data Streams on the Fly.
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A. Celisse and B. Guedj.
Stability revisited: new generalisation bounds for the Leave-one-Out.
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International peer-reviewed journals
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B. Guedj and B. Srinivasa Desikan.
Kernel-Based Ensemble Learning in Python.
Information
[ link ] • [ journal ]
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B. Guedj and J. Rengot.
Non-linear aggregation of filters to improve image denoising.
Computing Conference 2020 (to appear)
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Z. Mhammedi, P. Grünwald and B. Guedj.
PAC-Bayes Un-Expected Bernstein Inequality.
NeurIPS 2019 (to appear)
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G. Letarte, P. Germain, B. Guedj and F. Laviolette.
Dichotomize and Generalize: PAC-Bayesian Binary Activated Deep Neural Networks.
NeurIPS 2019 (to appear)
[ pdf ] • [ link ]
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P. Alliez, R. Di Cosmo, B. Guedj, A. Girault, M.-S. Hacid, A. Legrand and N. Rougier.
Attributing and Referencing (Research) Software: Best Practices and Outlook from Inria.
Computing in Science and Engineering
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J. Klein, M. Albardan, B. Guedj and O. Colot.
Decentralized learning with budgeted network load using Gaussian copulas and classifier ensembles.
Proceedings of ECML-PKDD 2019, DMLE workshop (to appear)
[ pdf ] • [ link ] • [ software ]
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B. Guedj.
A Primer on PAC-Bayesian learning.
Proceedings of the French Mathematical Society (to appear)
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L. Li, B. Guedj and S. Loustau (2018).
A Quasi-Bayesian Perspective to Online Clustering.
Electronic Journal of Statistics, vol. 12 (2), 3071--3113.
[ pdf ] • [ link ] • [ journal website ] • [ software ]
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B. Guedj and B. Srinivasa Desikan (2018).
Pycobra: A Python Toolbox for Ensemble Learning and Visualisation.
Journal of Machine Learning Research, vol. 18 (190), 1--5.
[ pdf ] • [ link ] • [ journal website ] • [ software ]
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P. Alquier and B. Guedj (2018).
Simpler PAC-Bayesian Bounds for Hostile Data.
Machine Learning, vol. 107 (5), 887--902.
[ pdf ] • [ link ] • [ journal website ]
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B. Guedj and
S. Robbiano (2018).
PAC-Bayesian High Dimensional Bipartite Ranking.
Journal of Statistical Planning and Inference, vol. 196, 70--86.
[ pdf ] • [ link ] • [ journal website ]
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P. Alquier and B. Guedj (2017).
An Oracle Inequality for Quasi-Bayesian Non-Negative Matrix Factorization.
Mathematical Methods of Statistics, vol. 26(1), 55-67.
Errata: there is a small mistake in the proofs of the published version. The latest arXiv version corrects this mistake.
[ pdf ] • [ link ] • [ journal website ] • [ software ]
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G. Biau, A. Fischer, B. Guedj and J. D. Malley (2016).
COBRA: A Combined Regression Strategy.
Journal of Multivariate Analysis, vol. 146, 18-28.
[ pdf ] • [ supplementary material ] • [ journal website ] • [ software: R package ] • [ software: Python pycobra library ]
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N. Chopin,
S. Gadat,
B. Guedj,
A. Guyader and
E. Vernet (2015).
On some recent advances on high dimensional Bayesian statistics.
ESAIM: Proceedings & Surveys, vol. 51, 293-319.
[ pdf ] • [ journal website ]
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B. Guedj and P. Alquier (2013). PAC-Bayesian Estimation and Prediction in Sparse Additive Models.
Electronic Journal of Statistics, vol. 7, 264-291.
[ pdf ] • [ journal website ] • [ software ]
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B. Guedj and G. Guillot (2011). Estimating the Location and Shape of Hybrid Zones.
Molecular Ecology Resources, vol. 11(6), 1119-1123.
[ pdf ] • [ journal website ] • [ software ]
Academic publications
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B. Guedj (2013). Agrégation d'estimateurs et de classificateurs : théorie et méthodes. Ph.D. thesis, UPMC.
[ pdf ] • [ link ]