Publications

Laumont, De Bortoli, Almansa, Delon, Durmus, Pereyra. On Maximum-a-Posteriori estimation with Plug & Play priors and stochastic gradient descent . 2021 - Submitted (journal)

De Bortoli, Desolneux. On quantitative Laplace-type convergence results for some exponential probability measures, with two applications . 2021 - Submitted (journal)

De Bortoli, Doucet, Heng, Thornton. Simulating Diffusion Bridges with Score Matching . 2021 - Preprint

Deligiannidis, De Bortoli, Doucet. Quantitative Uniform Stability of the Iterative Proportional Fitting Procedure . 2021 - Submitted (journal).

De Bortoli, Thornton, Heng, Doucet. Diffusion Schrödinger Bridge with Applications to Score-Based Generative Modeling. 2021 - Accepted at Neural Information Processing Systems (conference).

Laumont, De Bortoli, Almansa, Delon, Durmus, Pereyra. Bayesian imagging using Plug & Play priors: when Langevin meets Tweedie. 2021 - Submitted (journal).

de Bortoli, Desolneux, Durmus, Galerne, Leclaire. Maximum entropy methods for texture synthesis: theory and practice . 2021 - Published in SIAM Journal on Mathematics of Data Science (journal).

De Bortoli, Durmus, Fontaine, Simsekli. Quantitative Propagation of Chaos for SGD in Wide Neural Networks . 2020 - Accepted at Neural Information Processing Systems (conference).

F. Vidal, De Bortoli, Pereyra, Durmus. Maximum likelihood estimation of regularisation parameters in high-dimensional inverse problems: an empirical Bayesian approach. Part I: Methodology and Experiments . 2020 - Published in SIAM Journal on Imaging Science (journal).

De Bortoli, Durmus, F. Vidal, Pereyra. Maximum likelihood estimation of regularisation parameters in high-dimensional inverse problems: an empirical Bayesian approach. Part II: Theoretical Analysis . 2020 - Published in SIAM Journal on Imaging Science (journal).

Nadjahi, De Bortoli, Durmus, Badeau, Simsekli. Approximate Bayesian Computation with the Sliced-Wasserstein Distance . 2020 - Accepted at International Conference on Acoustics, Speech, and Signal Processing (conference) (Best Student Paper Award).

De Bortoli, Desolneux, Galerne, Leclaire. Redundancy in Gaussian random fields. 2020 - Published in ESAIM: Probability and Statistics (journal).

Fontaine, De Bortoli, Durmus. Continuous and Discrete-Time Analysis of Stochastic Gradient Descent for Convex and Non-Convex Functions. 2021 - Accepted at Conference on Learning Theory (conference).

De Bortoli, Desolneux, Galerne, Leclaire. Patch redundancy in images: a statistical testing framework and some applications. 2019 - Published in SIAM Journal on Imaging Science (journal).

De Bortoli, Durmus, Pereyra, F.Vidal. Efficient stochastic optimisation by unadjusted Langevin Monte Carlo. Application to maximum marginal likelihood and empirical Bayesian estimation. 2020 - Accepted at Statistics and Computing (journal).

De Bortoli, Durmus. Convergence of diffusion and their discretizations: from continuous to discrete processes and back. 2019 - Submitted (journal).

De Bortoli, Desolneux, Galerne, Leclaire. Macrocanonical models for texture synthesis. 2019 - Accepted at Scale Space and Variational Methods in Computer Vision (conference).

Huang, De Bortoli, Zhou, Gilles. Review of wavelet-based unsupervised texture segmentation, advantage of adaptive wavelets. 2018 - Published in IET (journal).