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Variational inference with a factorized Gaussian posterior estimate is a widely used approach for learning parameters and hidden variables. Empirically, a regularizing effect can be observed that is poorly understood. In this work, we show…

机器学习 · 计算机科学 2019-09-04 Julius Kunze , Louis Kirsch , Hippolyt Ritter , David Barber

Bayesian neural networks (BNNs) combine the expressive power of deep learning with the advantages of Bayesian formalism. In recent years, the analysis of wide, deep BNNs has provided theoretical insight into their priors and posteriors.…

机器学习 · 计算机科学 2022-02-24 Beau Coker , Wessel P. Bruinsma , David R. Burt , Weiwei Pan , Finale Doshi-Velez

We investigate Bayes posterior distributions in high-dimensional generalized linear models (GLMs) under the proportional asymptotics regime, where the number of features and samples diverge at a comparable rate. Specifically, we…

统计理论 · 数学 2026-01-05 Manuel Sáenz , Pragya Sur

Due to their unsupervised training and uncertainty estimation, deep Variational Autoencoders (VAEs) have become powerful tools for reconstruction-based Time Series Anomaly Detection (TSAD). Existing VAE-based TSAD methods, either…

机器学习 · 计算机科学 2024-01-09 Zhangkai Wu , Longbing Cao , Qi Zhang , Junxian Zhou , Hui Chen

In this article, we highlight what appears to be major issue of Variational Autoencoders, evinced from an extensive experimentation with different network architectures and datasets: the variance of generated data is significantly lower…

机器学习 · 计算机科学 2020-05-26 Andrea Asperti

Gaussian processes (GPs), implemented through multivariate Gaussian distributions for a finite collection of data, are the most popular approach in small-area spatial statistical modelling. In this context they are used to encode…

机器学习 · 计算机科学 2023-04-11 Elizaveta Semenova , Yidan Xu , Adam Howes , Theo Rashid , Samir Bhatt , Swapnil Mishra , Seth Flaxman

In many practical and numerical inverse problems, the exact data log-likelihood is not fully accessible, motivating the use of surrogate models. We study heteroscedastic nonparametric nonlinear regression problems with Gaussian errors and…

统计理论 · 数学 2026-03-31 Fanny Seizilles , Maximilian Siebel

We propose a new method for unsupervised generative continual learning through realignment of Variational Autoencoder's latent space. Deep generative models suffer from catastrophic forgetting in the same way as other neural structures.…

机器学习 · 计算机科学 2022-06-06 Kamil Deja , Paweł Wawrzyński , Wojciech Masarczyk , Daniel Marczak , Tomasz Trzciński

Variational auto-encoders (VAE) are popular deep latent variable models which are trained by maximizing an Evidence Lower Bound (ELBO). To obtain tighter ELBO and hence better variational approximations, it has been proposed to use…

机器学习 · 统计学 2021-07-22 Achille Thin , Nikita Kotelevskii , Arnaud Doucet , Alain Durmus , Eric Moulines , Maxim Panov

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

A number of variational autoencoders (VAEs) have recently emerged with the aim of modeling multimodal data, e.g., to jointly model images and their corresponding captions. Still, multimodal VAEs tend to focus solely on a subset of the…

机器学习 · 计算机科学 2022-06-10 Adrián Javaloy , Maryam Meghdadi , Isabel Valera

We consider the problem of information compression from high dimensional data. Where many studies consider the problem of compression by non-invertible transformations, we emphasize the importance of invertible compression. We introduce new…

机器学习 · 计算机科学 2021-11-02 Jan Jetze Beitler , Ivan Sosnovik , Arnold Smeulders

In the field of machine learning, it is still a critical issue to identify and supervise the learned representation without manually intervening or intuition assistance to extract useful knowledge or serve for the downstream tasks. In this…

机器学习 · 计算机科学 2025-12-10 Shiqi Liu , Jingxin Liu , Qian Zhao , Xiangyong Cao , Huibin Li , Deyu Meng , Hongying Meng , Sheng Liu

Structural Health Monitoring of Floating Offshore Wind Turbines (FOWTs) is critical for ensuring operational safety and efficiency. However, identifying damage in components like mooring systems from limited sensor data poses a challenging…

计算工程、金融与科学 · 计算机科学 2026-01-13 Ana Fernandez-Navamuel , Martin Alberto Diaz Viera , Matteo Croci

Despite advancements in Autoencoders (AEs) for tasks like dimensionality reduction, representation learning and data generation, they remain vulnerable to adversarial attacks. Variational Autoencoders (VAEs), with their probabilistic…

机器学习 · 计算机科学 2024-11-18 Chethan Krishnamurthy Ramanaik , Arjun Roy , Eirini Ntoutsi

Irregular distribution in latent space causes posterior collapse, misalignment between posterior and prior, and ill-sampling problem in Variational Autoencoders (VAEs). In this paper, we introduce a novel adaptable three-stage Uniform…

机器学习 · 计算机科学 2024-07-04 Ye Shi , C. S. George Lee

We propose a theoretical approach towards the training numerical stability of Variational AutoEncoders (VAE). Our work is motivated by recent studies empowering VAEs to reach state of the art generative results on complex image datasets.…

机器学习 · 计算机科学 2021-06-28 David Dehaene , Rémy Brossard

The generative autoencoders, such as the variational autoencoders or the adversarial autoencoders, have achieved great success in lots of real-world applications, including image generation, and signal communication. However, little concern…

机器学习 · 计算机科学 2023-07-06 Mingfei Lu , Badong Chen

Variational auto-encoders (VAEs) are a powerful approach to unsupervised learning. They enable scalable approximate posterior inference in latent-variable models using variational inference (VI). A VAE posits a variational family…

机器学习 · 计算机科学 2022-06-08 Samarth Sinha , Adji B. Dieng

Representation learning seeks to expose certain aspects of observed data in a learned representation that's amenable to downstream tasks like classification. For instance, a good representation for 2D images might be one that describes only…

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