Search Results for author: Szymon Majewski

Found 5 papers, 4 papers with code

Variational Inference of overparameterized Bayesian Neural Networks: a theoretical and empirical study

1 code implementation8 Jul 2022 Tom Huix, Szymon Majewski, Alain Durmus, Eric Moulines, Anna Korba

This paper studies the Variational Inference (VI) used for training Bayesian Neural Networks (BNN) in the overparameterized regime, i. e., when the number of neurons tends to infinity.

Variational Inference

Kernel Stein Discrepancy Descent

2 code implementations20 May 2021 Anna Korba, Pierre-Cyril Aubin-Frankowski, Szymon Majewski, Pierre Ablin

We investigate the properties of its Wasserstein gradient flow to approximate a target probability distribution $\pi$ on $\mathbb{R}^d$, known up to a normalization constant.

Minibatch optimal transport distances; analysis and applications

2 code implementations5 Jan 2021 Kilian Fatras, Younes Zine, Szymon Majewski, Rémi Flamary, Rémi Gribonval, Nicolas Courty

We notably argue that the minibatch strategy comes with appealing properties such as unbiased estimators, gradients and a concentration bound around the expectation, but also with limits: the minibatch OT is not a distance.

Sliced-Wasserstein Flows: Nonparametric Generative Modeling via Optimal Transport and Diffusions

1 code implementation21 Jun 2018 Antoine Liutkus, Umut Şimşekli, Szymon Majewski, Alain Durmus, Fabian-Robert Stöter

To the best of our knowledge, the proposed algorithm is the first nonparametric IGM algorithm with explicit theoretical guarantees.

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