Search Results for author: Zacharie Naulet

Found 5 papers, 2 papers with code

Model-based clustering using non-parametric Hidden Markov Models

no code implementations21 Sep 2023 Elisabeth Gassiat, Ibrahim Kaddouri, Zacharie Naulet

The aim of this work is to study the Bayes risk of clustering when using HMMs and to propose associated clustering procedures.

Clustering valid

Fundamental limits for learning hidden Markov model parameters

no code implementations24 Jun 2021 Kweku Abraham, Zacharie Naulet, Elisabeth Gassiat

We study the frontier between learnable and unlearnable hidden Markov models (HMMs).

Risk of the Least Squares Minimum Norm Estimator under the Spike Covariance Model

no code implementations31 Dec 2019 Yasaman Mahdaviyeh, Zacharie Naulet

We study risk of the minimum norm linear least squares estimator in when the number of parameters $d$ depends on $n$, and $\frac{d}{n} \rightarrow \infty$.

Exchangeable modelling of relational data: checking sparsity, train-test splitting, and sparse exchangeable Poisson matrix factorization

1 code implementation6 Dec 2017 Victor Veitch, Ekansh Sharma, Zacharie Naulet, Daniel M. Roy

A variety of machine learning tasks---e. g., matrix factorization, topic modelling, and feature allocation---can be viewed as learning the parameters of a probability distribution over bipartite graphs.

Variational Inference

Bootstrap estimators for the tail-index and for the count statistics of graphex processes

1 code implementation5 Dec 2017 Zacharie Naulet, Ekansh Sharma, Victor Veitch, Daniel M. Roy

Graphex processes resolve some pathologies in traditional random graph models, notably, providing models that are both projective and allow sparsity.

Statistics Theory Statistics Theory Primary 62F10, secondary 60G55, 60G70

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