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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…

机器学习 · 统计学 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

The Gaussian Process Latent Variable Model (GP-LVM) is a non-linear probabilistic method of embedding a high dimensional dataset in terms low dimensional `latent' variables. In this paper we illustrate that maximum a posteriori (MAP)…

机器学习 · 统计学 2013-07-02 James Barrett , Anthony C. C. Coolen

Variational inference is a powerful tool for approximate inference, and it has been recently applied for representation learning with deep generative models. We develop the variational Gaussian process (VGP), a Bayesian nonparametric…

机器学习 · 统计学 2016-04-19 Dustin Tran , Rajesh Ranganath , David M. Blei

Variational autoencoders (VAE) represent a popular, flexible form of deep generative model that can be stochastically fit to samples from a given random process using an information-theoretic variational bound on the true underlying…

机器学习 · 计算机科学 2019-10-08 Bin Dai , Yu Wang , John Aston , Gang Hua , David Wipf

Gaussian process latent variable models (GPLVM) are a flexible and non-linear approach to dimensionality reduction, extending classical Gaussian processes to an unsupervised learning context. The Bayesian incarnation of the GPLVM Titsias…

机器学习 · 计算机科学 2022-10-31 Vidhi Lalchand , Aditya Ravuri , Neil D. Lawrence

Deep latent variable models (LVM) such as variational auto-encoder (VAE) have recently played an important role in text generation. One key factor is the exploitation of smooth latent structures to guide the generation. However, the…

机器学习 · 计算机科学 2019-12-02 Le Fang , Chunyuan Li , Jianfeng Gao , Wen Dong , Changyou Chen

Extracting compact, physically interpretable representations from high-dimensional scientific data is a persistent challenge due to the complex, nonlinear structures inherent in physical systems. We propose a Gaussian Mixture Variational…

机器学习 · 计算机科学 2025-12-01 Tiffany Fan , Murray Cutforth , Marta D'Elia , Alexandre Cortiella , Alireza Doostan , Eric Darve

Gaussian Process (GP) Variational Autoencoders (VAEs) extend standard VAEs by replacing the fully factorised Gaussian prior with a GP prior, thereby capturing richer correlations among latent variables. However, performing exact GP…

机器学习 · 计算机科学 2025-08-18 Xinxing Shi , Xiaoyu Jiang , Mauricio A. Álvarez

Variational autoencoders (VAE) are a powerful and widely-used class of models to learn complex data distributions in an unsupervised fashion. One important limitation of VAEs is the prior assumption that latent sample representations are…

机器学习 · 计算机科学 2018-11-27 Francesco Paolo Casale , Adrian V Dalca , Luca Saglietti , Jennifer Listgarten , Nicolo Fusi

Longitudinal datasets measured repeatedly over time from individual subjects, arise in many biomedical, psychological, social, and other studies. A common approach to analyse high-dimensional data that contains missing values is to learn a…

This paper introduces a new interpretation of the Variational Autoencoder framework by taking a fully geometric point of view. We argue that vanilla VAE models unveil naturally a Riemannian structure in their latent space and that taking…

机器学习 · 统计学 2022-11-04 Clément Chadebec , Stéphanie Allassonnière

Learning compact and meaningful latent space representations has been shown to be very useful in generative modeling tasks for visual data. One particular example is applying Vector Quantization (VQ) in variational autoencoders (VQ-VAEs,…

机器学习 · 计算机科学 2024-09-18 Xin Li , Anand Sarwate

Variational autoencoders employ an amortized inference model to approximate the posterior of latent variables. However, such amortized variational inference faces two challenges: (1) the limited posterior expressiveness of fully-factorized…

机器学习 · 计算机科学 2022-12-01 Yookoon Park , Chris Dongjoo Kim , Gunhee Kim

Clinical patient records are an example of high-dimensional data that is typically collected from disparate sources and comprises of multiple likelihoods with noisy as well as missing values. In this work, we propose an unsupervised…

机器学习 · 统计学 2021-04-21 Siddharth Ramchandran , Miika Koskinen , Harri Lähdesmäki

The Gaussianity assumption has been consistently criticized as a main limitation of the Variational Autoencoder (VAE) despite its efficiency in computational modeling. In this paper, we propose a new approach that expands the model capacity…

机器学习 · 统计学 2023-10-30 Seunghwan An , Jong-June Jeon

Variational autoencoders (VAEs) are widely used deep generative models capable of learning unsupervised latent representations of data. Such representations are often difficult to interpret or control. We consider the problem of…

机器学习 · 计算机科学 2018-12-18 Jack Klys , Jake Snell , Richard Zemel

Variational autoencoders (VAEs), that are built upon deep neural networks have emerged as popular generative models in computer vision. Most of the work towards improving variational autoencoders has focused mainly on making the…

机器学习 · 统计学 2016-11-17 Siddharth Agrawal , Ambedkar Dukkipati

Extracting insight from the enormous quantity of data generated from molecular simulations requires the identification of a small number of collective variables whose corresponding low-dimensional free-energy landscape retains the essential…

化学物理 · 物理学 2019-12-30 Yasemin Bozkurt Varolgunes , Tristan Bereau , Joseph F. Rudzinski

Learning latent representations that are simultaneously expressive, geometrically well-structured, and reliably calibrated remains a central challenge for Variational Autoencoders (VAEs). Standard VAEs typically assume a diagonal Gaussian…

机器学习 · 计算机科学 2025-12-02 Mehmet Can Yavuz

Modern visual world modeling systems increasingly rely on high-capacity architectures and large-scale data to produce plausible motion, yet they often fail to preserve underlying 3D geometry or physically consistent camera dynamics. A key…

计算机视觉与模式识别 · 计算机科学 2026-05-01 Andrew Bond , Ilkin Umut Melanlioglu , Erkut Erdem , Aykut Erdem
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