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Variational inference lies at the core of many state-of-the-art algorithms. To improve the approximation of the posterior beyond parametric families, it was proposed to include MCMC steps into the variational lower bound. In this work we…

机器学习 · 统计学 2016-09-28 Christopher Wolf , Maximilian Karl , Patrick van der Smagt

Semi-supervised learning is sought for leveraging the unlabelled data when labelled data is difficult or expensive to acquire. Deep generative models (e.g., Variational Autoencoder (VAE)) and semisupervised Generative Adversarial Networks…

机器学习 · 计算机科学 2019-05-09 Xiang Zhang , Lina Yao , Feng Yuan

Approximating complex probability densities is a core problem in modern statistics. In this paper, we introduce the concept of Variational Inference (VI), a popular method in machine learning that uses optimization techniques to estimate…

机器学习 · 计算机科学 2021-11-23 Ankush Ganguly , Samuel W. F. Earp

Euclidean geometry has historically been the typical "workhorse" for machine learning applications due to its power and simplicity. However, it has recently been shown that geometric spaces with constant non-zero curvature improve…

机器学习 · 计算机科学 2020-02-14 Ondrej Skopek , Octavian-Eugen Ganea , Gary Bécigneul

Variational autoencoders (VAEs) are a powerful class of deep generative latent variable model for unsupervised representation learning on high-dimensional data. To ensure computational tractability, VAEs are often implemented with a…

机器学习 · 计算机科学 2020-06-09 Alex Campbell , Pietro Liò

Given the notably increasing complexity of mathematical models to study realistic systems and their coupling to their environment that constrains their dynamics, both analytical approaches and numerical methods that build on these models,…

量子物理 · 物理学 2019-11-11 I. Luchnikov , A. Ryzhov , P. -J. C. Stas , S. N. Filippov , H. Ouerdane

Variational autoencoders (VAEs) are a popular framework for modeling complex data distributions; they can be efficiently trained via variational inference by maximizing the evidence lower bound (ELBO), at the expense of a gap to the exact…

Monte Carlo sampling for Bayesian posterior inference is a common approach used in machine learning. The Markov Chain Monte Carlo procedures that are used are often discrete-time analogues of associated stochastic differential equations…

机器学习 · 统计学 2020-02-14 Xiaocheng Shang , Zhanxing Zhu , Benedict Leimkuhler , Amos J. Storkey

Being one of the most popular generative framework, variational autoencoders(VAE) are known to suffer from a phenomenon termed posterior collapse, i.e. the latent variational distributions collapse to the prior, especially when a strong…

机器学习 · 计算机科学 2021-03-23 Renfei Tu , Yang Liu , Yongzeng Xue , Cheng Wang , Maozu Guo

Flux inversion is the process by which sources and sinks of a gas are identified from observations of gas mole fraction. The inversion often involves running a Lagrangian particle dispersion model (LPDM) to generate sensitivities between…

机器学习 · 计算机科学 2021-12-24 Laura Cartwright , Andrew Zammit-Mangion , Nicholas M. Deutscher

Variational autoencoders (VAEs) are one class of generative probabilistic latent-variable models designed for inference based on known data. We develop three variations on VAEs by introducing a second parameterized encoder/decoder pair and,…

机器学习 · 计算机科学 2023-04-06 R. I. Cukier

Bayesian max-margin models have shown superiority in various practical applications, such as text categorization, collaborative prediction, social network link prediction and crowdsourcing, and they conjoin the flexibility of Bayesian…

机器学习 · 统计学 2016-10-19 Wenbo Hu , Jun Zhu , Bo Zhang

Variational autoencoders (VAEs) have been used extensively to discover low-dimensional latent factors governing neural activity and animal behavior. However, without careful model selection, the uncovered latent factors may reflect noise in…

机器学习 · 计算机科学 2023-12-13 Julia Huiming Wang , Dexter Tsin , Tatiana Engel

Hamiltonian Monte Carlo (HMC) is a popular Markov Chain Monte Carlo (MCMC) algorithm to sample from an unnormalized probability distribution. A leapfrog integrator is commonly used to implement HMC in practice, but its performance can be…

统计计算 · 统计学 2021-10-28 Marcel Hirt , Michalis K. Titsias , Petros Dellaportas

Posterior collapse plagues VAEs for text, especially for conditional text generation with strong autoregressive decoders. In this work, we address this problem in variational neural machine translation by explicitly promoting mutual…

计算与语言 · 计算机科学 2019-09-23 Arya D. McCarthy , Xian Li , Jiatao Gu , Ning Dong

We prove that the evidence lower bound (ELBO) employed by variational auto-encoders (VAEs) admits non-trivial solutions having constant posterior variances under certain mild conditions, removing the need to learn variances in the encoder.…

机器学习 · 计算机科学 2021-05-27 Graham Fyffe

Normalizing flows, autoregressive models, variational autoencoders (VAEs), and deep energy-based models are among competing likelihood-based frameworks for deep generative learning. Among them, VAEs have the advantage of fast and tractable…

机器学习 · 统计学 2021-01-11 Arash Vahdat , Jan Kautz

Variational Autoencoder (VAE) and its variations are classic generative models by learning a low-dimensional latent representation to satisfy some prior distribution (e.g., Gaussian distribution). Their advantages over GAN are that they can…

计算机视觉与模式识别 · 计算机科学 2020-09-24 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao

Variational autoencoders (VAEs) are powerful deep generative models widely used to represent high-dimensional complex data through a low-dimensional latent space learned in an unsupervised manner. In the original VAE model, the input data…

机器学习 · 计算机科学 2022-07-05 Laurent Girin , Simon Leglaive , Xiaoyu Bie , Julien Diard , Thomas Hueber , Xavier Alameda-Pineda

Variational Auto-Encoders (VAEs) have been widely applied for learning compact, low-dimensional latent representations of high-dimensional data. When the correlation structure among data points is available, previous work proposed…

机器学习 · 计算机科学 2019-12-20 Da Tang , Dawen Liang , Nicholas Ruozzi , Tony Jebara