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Latent Variable Models (LVMs) are a large family of machine learning models providing a principled and effective way to extract underlying patterns, structure and knowledge from observed data. Due to the dramatic growth of volume and…

Machine Learning · Computer Science 2015-12-24 Pengtao Xie , Yuntian Deng , Eric Xing

Latent variable models (LVMs) represent observed variables by parameterized functions of latent variables. Prominent examples of LVMs for unsupervised learning are probabilistic PCA or probabilistic SC which both assume a weighted linear…

Machine Learning · Computer Science 2023-12-18 Hamid Mousavi , Jakob Drefs , Florian Hirschberger , Jörg Lücke

In this work, we aim to establish a Bayesian adaptive learning framework by focusing on estimating latent variables in deep neural network (DNN) models. Latent variables indeed encode both transferable distributional information and…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Hu Hu , Sabato Marco Siniscalchi , Chin-Hui Lee

Current methods for learning graphical models with latent variables and a fixed structure estimate optimal values for the model parameters. Whereas this approach usually produces overfitting and suboptimal generalization performance,…

Machine Learning · Computer Science 2013-01-30 Hagai Attias

Gaussian Process Latent Variable Models (GPLVMs) have become increasingly popular for unsupervised tasks such as dimensionality reduction and missing data recovery due to their flexibility and non-linear nature. An importance-weighted…

Machine Learning · Computer Science 2026-03-10 Jian Xu , Shian Du , Junmei Yang , Qianli Ma , Delu Zeng , John Paisley

Discriminative latent variable models (LVM) are frequently applied to various visual recognition tasks. In these systems the latent (hidden) variables provide a formalism for modeling structured variation of visual features. Conventionally,…

Computer Vision and Pattern Recognition · Computer Science 2015-07-09 Hossein Azizpour , Mostafa Arefiyan , Sobhan Naderi Parizi , Stefan Carlsson

The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

Machine Learning · Statistics 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

Cognitive modeling commonly relies on asking participants to complete a battery of varied tests in order to estimate attention, working memory, and other latent variables. In many cases, these tests result in highly variable observation…

Latent Gaussian Models (LGMs) are a subset of Bayesian Hierarchical models where Gaussian priors, conditional on variance parameters, are assigned to all effects in the model. LGMs are employed in many fields for their flexibility and…

Methodology · Statistics 2025-01-28 Luisa Ferrari , Massimo Ventrucci

We propose a variational Bayesian (VB) approach to learning distributions of latent variables in deep neural network (DNN) models for cross-domain knowledge transfer, to address acoustic mismatches between training and testing conditions.…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-22 Hu Hu , Sabato Marco Siniscalchi , Chao-Han Huck Yang , Chin-Hui Lee

The advances in variational inference are providing promising paths in Bayesian estimation problems. These advances make variational phylogenetic inference an alternative approach to Markov Chain Monte Carlo methods for approximating the…

Populations and Evolution · Quantitative Biology 2023-09-12 Amine M. Remita , Golrokh Vitae , Abdoulaye Baniré Diallo

Recently diversity-inducing regularization methods for latent variable models (LVMs), which encourage the components in LVMs to be diverse, have been studied to address several issues involved in latent variable modeling: (1) how to capture…

Machine Learning · Computer Science 2015-11-24 Pengtao Xie , Yuntian Deng , Eric Xing

In many statistical problems, a more coarse-grained model may be suitable for population-level behaviour, whereas a more detailed model is appropriate for accurate modelling of individual behaviour. This raises the question of how to…

Machine Learning · Statistics 2015-11-02 Mingjun Zhong , Nigel Goddard , Charles Sutton

Bayesian approach, as a useful tool for quantifying uncertainties, has been widely used for solving inverse problems of partial differential equations (PDEs). One of the key difficulties for employing Bayesian approach for the issue is how…

Numerical Analysis · Mathematics 2026-02-09 Junxiong Jia , Qian Zhao , Zongben Xu , Deyu Meng , Yee Leung

There exist many forms of deep latent variable models, such as the variational autoencoder and adversarial autoencoder. Regardless of the specific class of model, there exists an implicit consensus that the latent distribution should be…

Machine Learning · Computer Science 2020-07-17 Rogan Morrow , Wei-Chen Chiu

We formalize the problem of learning interdomain correspondences in the absence of paired data as Bayesian inference in a latent variable model (LVM), where one seeks the underlying hidden representations of entities from one domain as…

Machine Learning · Statistics 2018-08-27 Louis C. Tiao , Edwin V. Bonilla , Fabio Ramos

Motivated by genetic association studies of pleiotropy, we propose here a Bayesian latent variable approach to jointly study multiple outcomes or phenotypes. The proposed method models both continuous and binary phenotypes, and it accounts…

Applications · Statistics 2012-11-08 Lizhen Xu , Radu V. Craiu , Lei Sun

Existing Bayesian models, especially nonparametric Bayesian methods, rely on specially conceived priors to incorporate domain knowledge for discovering improved latent representations. While priors can affect posterior distributions through…

Machine Learning · Computer Science 2014-02-13 Jun Zhu , Ning Chen , Eric P. Xing

We extend variational autoencoders (VAEs) to collaborative filtering for implicit feedback. This non-linear probabilistic model enables us to go beyond the limited modeling capacity of linear factor models which still largely dominate…

Machine Learning · Statistics 2018-02-19 Dawen Liang , Rahul G. Krishnan , Matthew D. Hoffman , Tony Jebara

Bayes' rule describes how to infer posterior beliefs about latent variables given observations, and inference is a critical step in learning algorithms for latent variable models (LVMs). Although there are exact algorithms for inference and…

Machine Learning · Computer Science 2025-09-22 Sacha Sokoloski
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