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For many analytical problems the challenge is to handle huge amounts of available data. However, there are data science application areas where collecting information is difficult and costly, e.g., in the study of geological phenomena, rare…

机器学习 · 统计学 2019-09-17 Kristian Miok , Dong Nguyen-Doan , Daniela Zaharie , Marko Robnik-Šikonja

The variational autoencoder (VAE) is a powerful generative model that can estimate the probability of a data point by using latent variables. In the VAE, the posterior of the latent variable given the data point is regularized by the prior…

机器学习 · 统计学 2019-12-30 Hiroshi Takahashi , Tomoharu Iwata , Yuki Yamanaka , Masanori Yamada , Satoshi Yagi

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

Variational auto-encoders are powerful probabilistic models in generative tasks but suffer from generating low-quality samples which are caused by the holes in the prior. We propose the Coupled Variational Auto-Encoder (C-VAE), which…

机器学习 · 统计学 2023-06-06 Xiaoran Hao , Patrick Shafto

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),…

机器学习 · 计算机科学 2026-02-25 Jonathan Spence , Tobías I. Liaudat , Konstantinos Zygalakis , Marcelo Pereyra

Due to the intractable partition function, training energy-based models (EBMs) by maximum likelihood requires Markov chain Monte Carlo (MCMC) sampling to approximate the gradient of the Kullback-Leibler divergence between data and model…

机器学习 · 统计学 2021-12-28 Jianwen Xie , Zilong Zheng , Ping Li

Multi-component datasets with intricate dependencies, like industrial assemblies or multi-modal imaging, challenge current generative modeling techniques. Existing Multi-component Variational AutoEncoders typically rely on simplified…

机器学习 · 计算机科学 2026-04-07 Fouad Oubari , Mohamed El-Baha , Raphael Meunier , Rodrigue Décatoire , Mathilde Mougeot

Variational Bayes (VB) is a recent approximate method for Bayesian inference. It has the merit of being a fast and scalable alternative to Markov Chain Monte Carlo (MCMC) but its approximation error is often unknown. In this paper, we…

机器学习 · 统计学 2019-03-05 Reza Hajargasht

The variational autoencoder (VAE) is a popular deep latent variable model used to analyse high-dimensional datasets by learning a low-dimensional latent representation of the data. It simultaneously learns a generative model and an…

机器学习 · 计算机科学 2023-11-21 Mine Öğretir , Siddharth Ramchandran , Dimitrios Papatheodorou , Harri Lähdesmäki

Variational AutoEncoder (VAE) has been extended as a representative nonlinear method for collaborative filtering. However, the bottleneck of VAE lies in the softmax computation over all items, such that it takes linear costs in the number…

机器学习 · 计算机科学 2022-05-31 Jin Chen , Defu Lian , Binbin Jin , Xu Huang , Kai Zheng , Enhong Chen

This paper proposes a new source model and training scheme to improve the accuracy and speed of the multichannel variational autoencoder (MVAE) method. The MVAE method is a recently proposed powerful multichannel source separation method.…

声音 · 计算机科学 2022-09-08 Li Li , Hirokazu Kameoka , Shoji Makino

In this work we are interested in the (ill-posed) inverse problem for absolute permeability characterization that arises in predictive modeling of porous media flows. We consider a Bayesian statistical framework with a preconditioned Markov…

数值分析 · 数学 2021-07-20 Alsadig Ali , Abdullah Al-Mamun , Felipe Pereira , Arunasalam Rahunanthan

Generating accurate extremes from an observational data set is crucial when seeking to estimate risks associated with the occurrence of future extremes which could be larger than those already observed. Applications range from the…

机器学习 · 统计学 2026-02-02 Nicolas Lafon , Philippe Naveau , Ronan Fablet

The variational autoencoder (VAE) is a generative model with continuous latent variables where a pair of probabilistic encoder (bottom-up) and decoder (top-down) is jointly learned by stochastic gradient variational Bayes. We first…

机器学习 · 统计学 2016-04-19 Suwon Suh , Seungjin Choi

Self-learning Monte Carlo (SLMC) methods are recently proposed to accelerate Markov chain Monte Carlo (MCMC) methods using a machine learning model. With latent generative models, SLMC methods realize efficient Monte Carlo updates with less…

机器学习 · 统计学 2023-09-21 Yuma Ichikawa , Akira Nakagawa , Hiromoto Masayuki , Yuhei Umeda

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

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…

We propose a multilevel Markov chain Monte Carlo (MCMC) method for the Bayesian inference of random field parameters in PDEs using high-resolution data. Compared to existing multilevel MCMC methods, we additionally consider level-dependent…

数值分析 · 数学 2025-08-19 Pieter Vanmechelen , Geert Lombaert , Giovanni Samaey

Predicting customers' long-term revenue from sparse and irregular transaction data is central to marketing resource allocation in non-contractual settings, yet existing approaches face a trade-off. Traditional probabilistic customer base…

机器学习 · 统计学 2026-04-27 Jeffrey Näf , Riana Valera Mbelson , Markus Meierer

Sequential VAEs have been successfully considered for many high-dimensional time series modelling problems, with many variant models relying on discrete-time mechanisms such as recurrent neural networks (RNNs). On the other hand,…

机器学习 · 计算机科学 2023-08-21 Harrison Zhu , Carles Balsells Rodas , Yingzhen Li