Search Results for author: François Caron

Found 12 papers, 6 papers with code

Deep neural networks with dependent weights: Gaussian Process mixture limit, heavy tails, sparsity and compressibility

1 code implementation17 May 2022 Hoil Lee, Fadhel Ayed, Paul Jung, Juho Lee, Hongseok Yang, François Caron

Under this model, we show that each layer of the infinite-width neural network can be characterised by two simple quantities: a non-negative scalar parameter and a L\'evy measure on the positive reals.

Gaussian Processes Representation Learning

Non-exchangeable feature allocation models with sublinear growth of the feature sizes

no code implementations30 Mar 2020 Giuseppe Di Benedetto, François Caron, Yee Whye Teh

In particular, the Indian buffet process is a flexible and simple one-parameter feature allocation model where the number of features grows unboundedly with the number of objects.

A unified construction for series representations and finite approximations of completely random measures

no code implementations26 May 2019 Juho Lee, Xenia Miscouridou, François Caron

In particular, we show that one can get novel series representations for the generalized gamma process and the stable beta process.

Clustering Density Estimation +1

Beyond the Chinese Restaurant and Pitman-Yor processes: Statistical Models with Double Power-law Behavior

1 code implementation13 Feb 2019 Fadhel Ayed, Juho Lee, François Caron

Bayesian nonparametric approaches, in particular the Pitman-Yor process and the associated two-parameter Chinese Restaurant process, have been successfully used in applications where the data exhibit a power-law behavior.

A Bayesian model for sparse graphs with flexible degree distribution and overlapping community structure

1 code implementation3 Oct 2018 Juho Lee, Lancelot F. James, Seungjin Choi, François Caron

We consider a non-projective class of inhomogeneous random graph models with interpretable parameters and a number of interesting asymptotic properties.

Non-exchangeable random partition models for microclustering

no code implementations20 Nov 2017 Giuseppe Di Benedetto, François Caron, Yee Whye Teh

Along with this result, we provide the asymptotic behaviour of the number of clusters of a given size, and show that the model can exhibit a power-law behavior, controlled by another parameter.

Clustering

Sequential Dirichlet Process Mixtures of Multivariate Skew t-distributions for Model-based Clustering of Flow Cytometry Data

2 code implementations14 Feb 2017 Boris P. Hejblum, Chariff Alkhassim, Raphael Gottardo, François Caron, Rodolphe Thiébaut

DPM models directly estimate the number of cell populations from the data, avoiding model selection issues, and skew $t$-distributions provides robustness to outliers and non-elliptical shape of cell populations.

Clustering Model Selection

Exchangeable Random Measures for Sparse and Modular Graphs with Overlapping Communities

1 code implementation5 Feb 2016 Adrien Todeschini, Xenia Miscouridou, François Caron

We propose a novel statistical model for sparse networks with overlapping community structure.

Sparse graphs using exchangeable random measures

no code implementations6 Jan 2014 François Caron, Emily B. Fox

We show that for certain choices of such exchangeable random measures underlying our graph construction, our network process is sparse with power-law degree distribution.

Efficient Exploration graph construction

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