Search Results - "Gassiat, Élisabeth"

The van Trees Inequality in the Spirit of Hájek and Le Cam by Gassiat, Elisabeth, Stoltz, Gilles

“…We work out a version of the van Trees inequality in a Hajek--Le Cam spirit, i.e., under minimal assumptions that, in particular, involve no direct pointwise…”
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Deconvolution with unknown noise distribution is possible for multivariate signals by Gassiat, Élisabeth, Le Corff, Sylvain, Lehéricy, Luc

“…This paper considers the deconvolution problem in the case where the target signal is multidimensional and no information is known about the noise…”
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Deconvolution of spherical data corrupted with unknown noise by Capitao-Miniconi, Jérémie, Gassiat, Elisabeth

“…We consider the deconvolution problem for densities supported on a (d-1)-dimensional sphere with unknown center and unknown radius, in the situation where the…”
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Least squares moment identification of binary regression mixture models by Auder, Benjamin, Gassiat, Elisabeth, Loum, Mor Absa

“…We consider finite mixtures of generalized linear models with binary output. We prove that cross moments (between the output and the regression variables) up…”
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The local geometry of finite mixtures by GASSIAT, ELISABETH, VAN HANDEL, RAMON

“… The key difficulty in the proof is to control the local geometric structure of mixture classes. Our local geometry theorem yields a bound on the (bracketing)…”
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Adaptive estimation of high-dimensional signal-to-noise ratios by VERZELEN, NICOLAS, GASSIAT, ELISABETH

“…We consider the equivalent problems of estimating the residual variance, the proportion of explained variance η and the signal strength in a high-dimensional…”
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Fundamental limits for learning hidden Markov model parameters by Abraham, Kweku, Gassiat, Elisabeth, Naulet, Zacharie

“…We study the frontier between learnable and unlearnable hidden Markov models (HMMs). HMMs are flexible tools for clustering dependent data coming from unknown…”
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Adaptive compression against a countable alphabet by Bontemps, Dominique, Boucheron, Stephane, Gassiat, Elisabeth

“…This paper sheds light on universal coding with respect to classes of memoryless sources over a countable alphabet defined by an envelope function with finite…”
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Variational excess risk bound for general state space models by Gassiat, Élisabeth, Corff, Sylvain Le

“…In this paper, we consider variational autoencoders (VAE) for general state space models. We consider a backward factorization of the variational distributions…”
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Nonparametric finite translation hidden Markov models and extensions by GASSIAT, ELISABETH, ROUSSEAU, JUDITH

“…In this paper, we consider nonparametric finite translation hidden Markov models, or more generally finite translation mixtures with dependent latent…”
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Asymptotic Distribution and Local Power of the Log-Likelihood Ratio Test for Mixtures: Bounded and Unbounded Cases by Azaïs, Jean-Marc, Gassiat, Élisabeth, Mercadier, Cécile

“…We consider the log-likelihood ratio test (LRT) for testing the number of components in a mixture of populations in a parametric family. We provide the…”
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On the impossibility of detecting a late change-point in the preferential attachment random graph model by Kaddouri, Ibrahim, Naulet, Zacharie, Gassiat, Élisabeth

“…We consider the problem of late change-point detection under the preferential attachment random graph model with time dependent attachment function. This can…”
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FORGETTING OF THE INITIAL DISTRIBUTION FOR NONERGODIC HIDDEN MARKOV CHAINS by Douc, Randal, Gassiat, Elisabeth, Landelle, Benoit, Moulines, Eric

“…In this paper, the forgetting of the initial distribution for a nonergodic Hidden Markov Models (HMM) is studied. A new set of conditions is proposed to…”
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About the posterior distribution in hidden Markov models with unknown number of states by GASSIAT, ELISABETH, ROUSSEAU, JUDITH

“…We consider finite state space stationary hidden Markov models (HMMs) in the situation where the number of hidden states is unknown. We provide a frequentist…”
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Consistent Estimation of the Filtering and Marginal Smoothing Distributions in Nonparametric Hidden Markov Models by De Castro, Yohann, Gassiat, Elisabeth, Le Corff, Sylvain

“…In this paper, we consider the filtering and smoothing recursions in nonparametric finite state space hidden Markov models (HMMs) when the parameters of the…”
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Amortized backward variational inference in nonlinear state-space models by Chagneux, Mathis, Gassiat, Élisabeth, Gloaguen, Pierre, Corff, Sylvain Le

“…We consider the problem of state estimation in general state-space models using variational inference. For a generic variational family defined using the same…”
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Efficient semiparametric estimation and model selection for multidimensional mixtures by Gassiat, Elisabeth, Rousseau, Judith, Vernet, Elodie

“…In this paper, we consider nonparametric multidimensional finite mixture models and we are interested in the semiparametric estimation of the population…”
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On the asymptotic behaviour of the posterior distribution in hidden Markov Models with unknown number of states by Gassiat, Elisabeth, Rousseau, Judith

“…We consider finite state space stationary hidden Markov models (HMMs) in the situation where the number of hidden states is unknown. We provide a frequentist…”
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About Adaptive Coding on Countable Alphabets by Bontemps, Dominique, Boucheron, Stephane, Gassiat, Elisabeth

“…This paper sheds light on adaptive coding with respect to classes of memoryless sources over a countable alphabet defined by an envelope function with finite…”
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A truncation model for estimating Species Richness by Koladjo, François, Ohannessian, Mesrob I, Gassiat, Élisabeth

“…We propose a truncation model for abundance distribution in the species richness estimation. This model is inherently semiparametric and incorporates an…”
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