MCD: Marginal Contrastive Discrimination for conditional density estimation

Fuente: arXiv
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Autores principales: Meziani, Katia, Ndiaye, Aminata, Riu, Benjamin
Formato: Preprint
Publicado: 2022
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author Meziani, Katia
Ndiaye, Aminata
Riu, Benjamin
author_facet Meziani, Katia
Ndiaye, Aminata
Riu, Benjamin
contents We consider the problem of conditional density estimation, which is a major topic of interest in the fields of statistical and machine learning. Our method, called Marginal Contrastive Discrimination, MCD, reformulates the conditional density function into two factors, the marginal density function of the target variable and a ratio of density functions which can be estimated through binary classification. Like noise-contrastive methods, MCD can leverage state-of-the-art supervised learning techniques to perform conditional density estimation, including neural networks. Our benchmark reveals that our method significantly outperforms in practice existing methods on most density models and regression datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2206_01592
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle MCD: Marginal Contrastive Discrimination for conditional density estimation
Meziani, Katia
Ndiaye, Aminata
Riu, Benjamin
Machine Learning
Methodology
We consider the problem of conditional density estimation, which is a major topic of interest in the fields of statistical and machine learning. Our method, called Marginal Contrastive Discrimination, MCD, reformulates the conditional density function into two factors, the marginal density function of the target variable and a ratio of density functions which can be estimated through binary classification. Like noise-contrastive methods, MCD can leverage state-of-the-art supervised learning techniques to perform conditional density estimation, including neural networks. Our benchmark reveals that our method significantly outperforms in practice existing methods on most density models and regression datasets.
title MCD: Marginal Contrastive Discrimination for conditional density estimation
topic Machine Learning
Methodology
url https://arxiv.org/abs/2206.01592