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Variational autoencoders (VAEs) have recently been used for unsupervised disentanglement learning of complex density distributions. Numerous variants exist to encourage disentanglement in latent space while improving reconstruction.…

机器学习 · 统计学 2022-06-10 Kenneth Ezukwoke , Anis Hoayek , Mireille Batton-Hubert , Xavier Boucher

Learning useful representations of complex data has been the subject of extensive research for many years. With the diffusion of Deep Neural Networks, Variational Autoencoders have gained lots of attention since they provide an explicit…

机器学习 · 计算机科学 2020-09-15 Marco Maggipinto , Matteo Terzi , Gian Antonio Susto

Variational Auto-Encoders (VAEs) are capable of learning latent representations for high dimensional data. However, due to the i.i.d. assumption, VAEs only optimize the singleton variational distributions and fail to account for the…

机器学习 · 计算机科学 2020-04-20 Da Tang , Dawen Liang , Tony Jebara , Nicholas Ruozzi

The Variational Autoencoder (VAE) is a seminal approach in deep generative modeling with latent variables. Interpreting its reconstruction process as a nonlinear transformation of samples from the latent posterior distribution, we apply the…

机器学习 · 计算机科学 2023-06-09 Faris Janjoš , Lars Rosenbaum , Maxim Dolgov , J. Marius Zöllner

Multivariate time series with missing values are common in areas such as healthcare and finance, and have grown in number and complexity over the years. This raises the question whether deep learning methodologies can outperform classical…

机器学习 · 统计学 2020-02-21 Vincent Fortuin , Dmitry Baranchuk , Gunnar Rätsch , Stephan Mandt

We present a model that can automatically learn alignments between high-dimensional data in an unsupervised manner. Our proposed method casts alignment learning in a framework where both alignment and data are modelled simultaneously.…

机器学习 · 统计学 2019-03-04 Ieva Kazlauskaite , Carl Henrik Ek , Neill D. F. Campbell

We investigate a fully Latent AutoRegressive scheme based on a Gaussian Process (GP) integrated into a Variational Autoencoder (VAE). In this setting, sequential dynamics are transferred from the observation space to a continuous latent…

机器学习 · 计算机科学 2025-12-16 Yves Ruffenach

Bayesian inference on non-Gaussian data is often non-analytic and requires computationally expensive approximations such as sampling or variational inference. We propose an approximate inference framework primarily designed to be…

机器学习 · 计算机科学 2022-10-12 Marius Hobbhahn , Philipp Hennig

The Dynamical Gaussian Process Latent Variable Models provide an elegant non-parametric framework for learning the low dimensional representations of the high-dimensional time-series. Real world observational studies, however, are often…

机器学习 · 计算机科学 2019-09-26 Thanh Le , Vasant Honavar

Estimating covariances between financial assets plays an important role in risk management. In practice, when the sample size is small compared to the number of variables, the empirical estimate is known to be very unstable. Here, we…

计算工程、金融与科学 · 计算机科学 2019-04-19 Rajbir-Singh Nirwan , Nils Bertschinger

Generative models have emerged as powerful tools in medical imaging, enabling tasks such as segmentation, anomaly detection, and high-quality synthetic data generation. These models typically rely on learning meaningful latent…

计算机视觉与模式识别 · 计算机科学 2026-02-17 Jordi Malé , Juan Fortea , Mateus Rozalem-Aranha , Neus Martínez-Abadías , Xavier Sevillano

In this work we address the problem of approximating high-dimensional data with a low-dimensional representation. We make the following contributions. We propose an inverse regression method which exchanges the roles of input and response,…

机器学习 · 计算机科学 2015-09-04 Antoine Deleforge , Florence Forbes , Radu Horaud

In this paper, we show that the performance of a learnt generative model is closely related to the model's ability to accurately represent the inferred \textbf{latent data distribution}, i.e. its topology and structural properties. We…

计算机视觉与模式识别 · 计算机科学 2020-09-02 Shuyu Lin , Ronald Clark

Gaussian graphical models (GGM) have been widely used in many high-dimensional applications ranging from biological and financial data to recommender systems. Sparsity in GGM plays a central role both statistically and computationally.…

机器学习 · 统计学 2014-06-12 Zhaoshi Meng , Brian Eriksson , Alfred O. Hero

Autoencoders and their variants are among the most widely used models in representation learning and generative modeling. However, autoencoder-based models usually assume that the learned representations are i.i.d. and fail to capture the…

机器学习 · 计算机科学 2023-02-10 Ba-Hien Tran , Babak Shahbaba , Stephan Mandt , Maurizio Filippone

Variational autoencoders (VAEs) are a standard framework for inducing latent variable models that have been shown effective in learning text representations as well as in text generation. The key challenge with using VAEs is the {\it…

机器学习 · 计算机科学 2020-05-01 Serhii Havrylov , Ivan Titov

Variational autoencoders often assume isotropic Gaussian priors and mean-field posteriors, hence do not exploit structure in scenarios where we may expect similarity or consistency across latent variables. Gaussian process variational…

机器学习 · 统计学 2020-11-17 Metod Jazbec , Michael Pearce , Vincent Fortuin

Independent component analysis is a core framework within blind source separation for recovering latent source signals from observed mixtures under statistical independence assumptions. In this work, we propose PDGMM-VAE, a source-oriented…

机器学习 · 统计学 2026-04-24 Yuan-Hao Wei , Yan-Jie Sun

While unsupervised variational autoencoders (VAE) have become a powerful tool in neuroimage analysis, their application to supervised learning is under-explored. We aim to close this gap by proposing a unified probabilistic model for…

机器学习 · 计算机科学 2019-07-15 Qingyu Zhao , Ehsan Adeli , Nicolas Honnorat , Tuo Leng , Kilian M. Pohl

The variational auto-encoder (VAE) is a popular method for learning a generative model and embeddings of the data. Many real datasets are hierarchically structured. However, traditional VAEs map data in a Euclidean latent space which cannot…

机器学习 · 统计学 2019-11-27 Emile Mathieu , Charline Le Lan , Chris J. Maddison , Ryota Tomioka , Yee Whye Teh