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Inverse problems involving partial differential equations (PDEs) are widely used in science and engineering. Although such problems are generally ill-posed, different regularisation approaches have been developed to ameliorate this problem.…

应用统计 · 统计学 2022-03-23 Jan Povala , Ieva Kazlauskaite , Eky Febrianto , Fehmi Cirak , Mark Girolami

This work presents a model reduction approach to the inverse problem in the application of subsurface flows. For the Bayesian inverse problem, the forward model needs to be repeatedly computed for a large number of samples to get a…

数值分析 · 数学 2016-04-04 Lijian Jiang , Na Ou

This paper proposes an alternative algorithm for multichannel variational autoencoder (MVAE), a recently proposed multichannel source separation approach. While MVAE is notable in its impressive source separation performance, the…

机器学习 · 计算机科学 2019-02-14 Li Li , Hirokazu Kameoka , Shoji Makino

Recent advances in stochastic gradient variational inference have made it possible to perform variational Bayesian inference with posterior approximations containing auxiliary random variables. This enables us to explore a new synthesis of…

统计计算 · 统计学 2015-05-20 Tim Salimans , Diederik P. Kingma , Max Welling

We investigate deep generative models that can exchange multiple modalities bi-directionally, e.g., generating images from corresponding texts and vice versa. A major approach to achieve this objective is to train a model that integrates…

机器学习 · 统计学 2018-01-29 Masahiro Suzuki , Kotaro Nakayama , Yutaka Matsuo

The variational autoencoder (VAE) is a well-studied, deep, latent-variable model (DLVM) that efficiently optimizes the variational lower bound of the log marginal data likelihood and has a strong theoretical foundation. However, the VAE's…

机器学习 · 计算机科学 2024-10-08 Surojit Saha , Sarang Joshi , Ross Whitaker

Variational autoencoder (VAE) is one of the most common techniques in the field of medical image generation, where this architecture has shown advanced researchers in recent years and has developed into various architectures. VAE has…

机器学习 · 计算机科学 2024-11-13 Khadija Rais , Mohamed Amroune , Abdelmadjid Benmachiche , Mohamed Yassine Haouam

Markov chain Monte Carlo (MCMC) methods are powerful computational tools for analysis of complex statistical problems. However, their computational efficiency is highly dependent on the chosen proposal distribution, which is generally…

统计理论 · 数学 2014-10-02 Isambi S. Mbalawata , Simo Särkkä , Matti Vihola , Heikki Haario

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

Although variational autoencoders (VAEs) represent a widely influential deep generative model, many aspects of the underlying energy function remain poorly understood. In particular, it is commonly believed that Gaussian encoder/decoder…

机器学习 · 计算机科学 2019-10-31 Bin Dai , David Wipf

Multiple modalities often co-occur when describing natural phenomena. Learning a joint representation of these modalities should yield deeper and more useful representations. Previous generative approaches to multi-modal input either do not…

机器学习 · 计算机科学 2018-11-13 Mike Wu , Noah Goodman

We propose a variational autoencoder (VAE)-based model for building forward and inverse structure-property linkages, a problem of paramount importance in computational materials science. Our model systematically combines VAE with…

机器学习 · 计算机科学 2024-02-29 Avadhut Sardeshmukh , Sreedhar Reddy , BP Gautham , Pushpak Bhattacharyya

Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

机器学习 · 统计学 2022-03-02 Yingzhi Xia , Nicholas Zabaras

Varying coefficient models (VCMs) are widely used for estimating nonlinear regression functions for functional data. Their Bayesian variants using Gaussian process priors on the functional coefficients, however, have received limited…

统计方法学 · 统计学 2022-03-01 Rajarshi Guhaniyogi , Cheng Li , Terrance D. Savitsky , Sanvesh Srivastava

Variational autoencoders (VAEs) are powerful generative models with the salient ability to perform inference. Here, we introduce a quantum variational autoencoder (QVAE): a VAE whose latent generative process is implemented as a quantum…

Variational autoencoders (VAEs) are powerful tools for learning latent representations of data used in a wide range of applications. In practice, VAEs usually require multiple training rounds to choose the amount of information the latent…

机器学习 · 计算机科学 2023-08-21 Juhan Bae , Michael R. Zhang , Michael Ruan , Eric Wang , So Hasegawa , Jimmy Ba , Roger Grosse

We present a coupled Variational Auto-Encoder (VAE) method that improves the accuracy and robustness of the probabilistic inferences on represented data. The new method models the dependency between input feature vectors (images) and weighs…

机器学习 · 计算机科学 2025-11-25 Shichen Cao , Jingjing Li , Kenric P. Nelson , Mark A. Kon

This paper proposes a multichannel source separation technique called the multichannel variational autoencoder (MVAE) method, which uses a conditional VAE (CVAE) to model and estimate the power spectrograms of the sources in a mixture. By…

机器学习 · 统计学 2018-08-28 Hirokazu Kameoka , Li Li , Shota Inoue , Shoji Makino

Variational Autoencoders (VAEs) have recently been highly successful at imputing and acquiring heterogeneous missing data. However, within this specific application domain, existing VAE methods are restricted by using only one layer of…

机器学习 · 计算机科学 2022-12-23 Ignacio Peis , Chao Ma , José Miguel Hernández-Lobato

Learning interpretable and disentangled representations of data is a key topic in machine learning research. Variational Autoencoder (VAE) is a scalable method for learning directed latent variable models of complex data. It employs a clear…

机器学习 · 计算机科学 2020-06-04 Andriy Serdega , Dae-Shik Kim