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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…

Machine Learning · Statistics 2020-02-21 Vincent Fortuin , Dmitry Baranchuk , Gunnar Rätsch , Stephan Mandt

Inference and inverse problems are closely related concepts, both fundamentally involving the deduction of unknown causes or parameters from observed data. Bayesian inference, a powerful class of methods, is often employed to solve a…

Machine Learning · Statistics 2024-09-17 Yuan-Hao Wei , Yan-Jie Sun , Chen Zhang

Recently, transformers have shown promising performance in learning graph representations. However, there are still some challenges when applying transformers to real-world scenarios due to the fact that deep transformers are hard to train…

Machine Learning · Computer Science 2022-05-13 Sixiao Zhang , Hongxu Chen , Haoran Yang , Xiangguo Sun , Philip S. Yu , Guandong Xu

A fundamental limitation of probabilistic deep learning is its predominant reliance on Gaussian priors. This simplistic assumption prevents models from accurately capturing the complex, non-Gaussian landscapes of natural data, particularly…

Machine Learning · Computer Science 2025-08-18 Feng-ao Wang , Shaobo Chen , Yao Xuan , Junwei Liu , Qi Gao , Hongdong Zhu , Junjie Hou , Lixin Yuan , Jinyu Cheng , Chenxin Yi , Hai Wei , Yin Ma , Tao Xu , Kai Wen , Yixue Li

The Variational Autoencoder (VAE) is a powerful architecture capable of representation learning and generative modeling. When it comes to learning interpretable (disentangled) representations, VAE and its variants show unparalleled…

Machine Learning · Computer Science 2019-04-17 Michal Rolinek , Dominik Zietlow , Georg Martius

We propose a framework called HyperVAE for encoding distributions of distributions. When a target distribution is modeled by a VAE, its neural network parameters \theta is drawn from a distribution p(\theta) which is modeled by a…

Machine Learning · Statistics 2022-05-16 Phuoc Nguyen , Truyen Tran , Sunil Gupta , Santu Rana , Hieu-Chi Dam , Svetha Venkatesh

The cosmic microwave background power spectra are a primary window into the early universe. However, achieving interpretable, likelihood-compatible compression and fast inference under weak model assumptions remains challenging. We propose…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-03 Tian-Yang Sun , Tian-Nuo Li , He Wang , Jing-Fei Zhang , Xin Zhang

The ability to extract generative parameters from high-dimensional fields of data in an unsupervised manner is a highly desirable yet unrealized goal in computational physics. This work explores the use of variational autoencoders (VAEs)…

Computational Physics · Physics 2021-11-16 Christian Jacobsen , Karthik Duraisamy

The Variational Autoencoder (VAE) is a powerful framework for learning probabilistic latent variable generative models. However, typical assumptions on the approximate posterior distribution of the encoder and/or the prior, seriously…

Machine Learning · Computer Science 2020-07-13 Ifigeneia Apostolopoulou , Elan Rosenfeld , Artur Dubrawski

The ability to accurately model random fields plays a critical role in science and engineering for problems involving uncertain, spatially-varying quantities such as heterogeneous material properties and turbulent flows. Deep generative…

The usage of deep generative models for image compression has led to impressive performance gains over classical codecs while neural video compression is still in its infancy. Here, we propose an end-to-end, deep generative modeling…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Jun Han , Salvator Lombardo , Christopher Schroers , Stephan Mandt

As one of the most popular generative models, Variational Autoencoder (VAE) approximates the posterior of latent variables based on amortized variational inference. However, when the decoder network is sufficiently expressive, VAE may lead…

Machine Learning · Computer Science 2021-10-26 Dazhong Shen , Chuan Qin , Chao Wang , Hengshu Zhu , Enhong Chen , Hui Xiong

Unsupervised representation learning holds the promise of exploiting large amounts of unlabeled data to learn general representations. A promising technique for unsupervised learning is the framework of Variational Auto-encoders (VAEs).…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Kamal Gupta , Saurabh Singh , Abhinav Shrivastava

Current state-of-the-art generative approaches frequently rely on a two-stage training procedure, where an autoencoder (often a VAE) first performs dimensionality reduction, followed by training a generative model on the learned latent…

Machine Learning · Statistics 2025-07-15 Gianluigi Silvestri , Luca Ambrogioni

Variational autoencoders (VAE) are powerful generative models that learn the latent representations of input data as random variables. Recent studies show that VAE can flexibly learn the complex temporal dynamics of time series and achieve…

Machine Learning · Computer Science 2023-11-14 Borui Cai , Shuiqiao Yang , Longxiang Gao , Yong Xiang

Markov chain Monte Carlo (MCMC) methods are fundamental to Bayesian computation, but can be computationally intensive, especially in high-dimensional settings. Push-forward generative models, such as generative adversarial networks (GANs),…

Machine Learning · Computer Science 2026-02-25 Jonathan Spence , Tobías I. Liaudat , Konstantinos Zygalakis , Marcelo Pereyra

Currently end-to-end deep learning based open-domain dialogue systems remain black box models, making it easy to generate irrelevant contents with data-driven models. Specifically, latent variables are highly entangled with different…

Computation and Language · Computer Science 2022-07-27 Ye Wang , Jingbo Liao , Hong Yu , Guoyin Wang , Xiaoxia Zhang , Li Liu

Variational autoencoders (VAEs) and generative adversarial networks (GANs) enjoy an intuitive connection to manifold learning: in training the decoder/generator is optimized to approximate a homeomorphism between the data distribution and…

Machine Learning · Computer Science 2020-08-28 Henry Li , Ofir Lindenbaum , Xiuyuan Cheng , Alexander Cloninger

Deep Gaussian Processes (DGPs) are hierarchical generalizations of Gaussian Processes that combine well calibrated uncertainty estimates with the high flexibility of multilayer models. One of the biggest challenges with these models is that…

Machine Learning · Statistics 2018-11-13 Marton Havasi , José Miguel Hernández-Lobato , Juan José Murillo-Fuentes

Does a Variational AutoEncoder (VAE) consistently encode typical samples generated from its decoder? This paper shows that the perhaps surprising answer to this question is `No'; a (nominally trained) VAE does not necessarily amortize…

Machine Learning · Computer Science 2020-12-08 A. Taylan Cemgil , Sumedh Ghaisas , Krishnamurthy Dvijotham , Sven Gowal , Pushmeet Kohli