Probabilistic Models with Deep Neural Networks

Recent advances in statistical inference have significantly expanded the toolbox of probabilistic modeling. Historically, probabilistic modeling has been constrained to very restricted model classes, where exact or approximate probabilistic inference is feasible. However, developments in variational...

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Main Authors: Masegosa Arredondo, Andrés Ramón, Cabañas de Paz, Rafael, Langseth, Helge, Nielsen, Thomas Dyhre, Salmerón Cerdán, Antonio
Format: info:eu-repo/semantics/article
Language:English
Published: MDPI 2021
Subjects:
Online Access:http://hdl.handle.net/10835/9516
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author Masegosa Arredondo, Andrés Ramón
Cabañas de Paz, Rafael
Langseth, Helge
Nielsen, Thomas Dyhre
Salmerón Cerdán, Antonio
author_facet Masegosa Arredondo, Andrés Ramón
Cabañas de Paz, Rafael
Langseth, Helge
Nielsen, Thomas Dyhre
Salmerón Cerdán, Antonio
author_sort Masegosa Arredondo, Andrés Ramón
collection DSpace
description Recent advances in statistical inference have significantly expanded the toolbox of probabilistic modeling. Historically, probabilistic modeling has been constrained to very restricted model classes, where exact or approximate probabilistic inference is feasible. However, developments in variational inference, a general form of approximate probabilistic inference that originated in statistical physics, have enabled probabilistic modeling to overcome these limitations: (i) Approximate probabilistic inference is now possible over a broad class of probabilistic models containing a large number of parameters, and (ii) scalable inference methods based on stochastic gradient descent and distributed computing engines allow probabilistic modeling to be applied to massive data sets. One important practical consequence of these advances is the possibility to include deep neural networks within probabilistic models, thereby capturing complex non-linear stochastic relationships between the random variables. These advances, in conjunction with the release of novel probabilistic modeling toolboxes, have greatly expanded the scope of applications of probabilistic models, and allowed the models to take advantage of the recent strides made by the deep learning community. In this paper, we provide an overview of the main concepts, methods, and tools needed to use deep neural networks within a probabilistic modeling framework.
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spelling oai:repositorio.ual.es:10835-95162023-04-12T19:39:11Z Probabilistic Models with Deep Neural Networks Masegosa Arredondo, Andrés Ramón Cabañas de Paz, Rafael Langseth, Helge Nielsen, Thomas Dyhre Salmerón Cerdán, Antonio deep probabilistic modeling variational inference neural networks latent variable models Bayesian learning Recent advances in statistical inference have significantly expanded the toolbox of probabilistic modeling. Historically, probabilistic modeling has been constrained to very restricted model classes, where exact or approximate probabilistic inference is feasible. However, developments in variational inference, a general form of approximate probabilistic inference that originated in statistical physics, have enabled probabilistic modeling to overcome these limitations: (i) Approximate probabilistic inference is now possible over a broad class of probabilistic models containing a large number of parameters, and (ii) scalable inference methods based on stochastic gradient descent and distributed computing engines allow probabilistic modeling to be applied to massive data sets. One important practical consequence of these advances is the possibility to include deep neural networks within probabilistic models, thereby capturing complex non-linear stochastic relationships between the random variables. These advances, in conjunction with the release of novel probabilistic modeling toolboxes, have greatly expanded the scope of applications of probabilistic models, and allowed the models to take advantage of the recent strides made by the deep learning community. In this paper, we provide an overview of the main concepts, methods, and tools needed to use deep neural networks within a probabilistic modeling framework. 2021-02-01T09:04:54Z 2021-02-01T09:04:54Z 2021-01-18 info:eu-repo/semantics/article 1099-4300 http://hdl.handle.net/10835/9516 en https://www.mdpi.com/1099-4300/23/1/117 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI
spellingShingle deep probabilistic modeling
variational inference
neural networks
latent variable models
Bayesian learning
Masegosa Arredondo, Andrés Ramón
Cabañas de Paz, Rafael
Langseth, Helge
Nielsen, Thomas Dyhre
Salmerón Cerdán, Antonio
Probabilistic Models with Deep Neural Networks
title Probabilistic Models with Deep Neural Networks
title_full Probabilistic Models with Deep Neural Networks
title_fullStr Probabilistic Models with Deep Neural Networks
title_full_unstemmed Probabilistic Models with Deep Neural Networks
title_short Probabilistic Models with Deep Neural Networks
title_sort probabilistic models with deep neural networks
topic deep probabilistic modeling
variational inference
neural networks
latent variable models
Bayesian learning
url http://hdl.handle.net/10835/9516
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AT salmeroncerdanantonio probabilisticmodelswithdeepneuralnetworks