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Variational autoencoders (VAEs) rely on amortized variational inference to enable efficient posterior approximation, but this efficiency comes at the cost of a shared parametrization, giving rise to the amortization gap. We propose the…

Machine Learning · Computer Science 2026-04-21 Andrea Pollastro , Andrea Apicella , Francesco Isgrò , Roberto Prevete

Many crucial problems in deep learning and statistical inference are caused by a variational gap, i.e., a difference between model evidence (log-likelihood) and evidence lower bound (ELBO). In particular, in a classical VAE setting that…

Machine Learning · Computer Science 2025-03-06 Łukasz Struski , Marcin Mazur , Paweł Batorski , Przemysław Spurek , Jacek Tabor

Class labels are often imperfectly observed, due to mistakes and to genuine ambiguity among classes. We propose a new semi-supervised deep generative model that explicitly models noisy labels, called the Mislabeled VAE (M-VAE). The M-VAE…

Machine Learning · Computer Science 2018-09-18 Maxime Langevin , Edouard Mehlman , Jeffrey Regier , Romain Lopez , Michael I. Jordan , Nir Yosef

Data-driven fault diagnostics of safety-critical systems often faces the challenge of a complete lack of labeled data associated with faulty system conditions (i.e., fault types) at training time. Since an unknown number and nature of fault…

Machine Learning · Computer Science 2020-10-01 Manuel Arias Chao , Bryan T. Adey , Olga Fink

The variational autoencoder (VAE) is a simple and efficient generative artificial intelligence method for modeling complex probability distributions of various types of data, such as images and texts. However, it suffers some main…

Machine Learning · Computer Science 2025-02-14 Xi Chen , Shaofan Li

Score matching (SM) is a convenient method for training flexible probabilistic models, which is often preferred over the traditional maximum-likelihood (ML) approach. However, these models are less interpretable than normalized models; as…

Machine Learning · Statistics 2022-10-25 Li Kevin Wenliang

There are many problems in physics, biology, and other natural sciences in which symbolic regression can provide valuable insights and discover new laws of nature. A widespread Deep Neural Networks do not provide interpretable solutions.…

Machine Learning · Computer Science 2023-01-18 Sergei Popov , Mikhail Lazarev , Vladislav Belavin , Denis Derkach , Andrey Ustyuzhanin

Optimal computations under uncertainty require an adequate probabilistic representation about beliefs. Deep generative models, and specifically Variational Autoencoders (VAEs), have the potential to meet this demand by building latent…

Variational autoencoders (VAEs) are widely used deep generative models capable of learning unsupervised latent representations of data. Such representations are often difficult to interpret or control. We consider the problem of…

Machine Learning · Computer Science 2018-12-18 Jack Klys , Jake Snell , Richard Zemel

Variational Autoencoder (VAE) is widely used as a generative model to approximate a model's posterior on latent variables by combining the amortized variational inference and deep neural networks. However, when paired with strong…

Machine Learning · Computer Science 2020-06-02 Qile Zhu , Jianlin Su , Wei Bi , Xiaojiang Liu , Xiyao Ma , Xiaolin Li , Dapeng Wu

Deep metric learning has been demonstrated to be highly effective in learning semantic representation and encoding information that can be used to measure data similarity, by relying on the embedding learned from metric learning. At the…

Machine Learning · Statistics 2023-02-09 Haque Ishfaq , Assaf Hoogi , Daniel Rubin

Recent work in unsupervised learning has focused on efficient inference and learning in latent variables models. Training these models by maximizing the evidence (marginal likelihood) is typically intractable. Thus, a common approximation…

Machine Learning · Computer Science 2021-02-15 Linh Tran , Maja Pantic , Marc Peter Deisenroth

Deep generative models have been demonstrated as problematic in the unsupervised out-of-distribution (OOD) detection task, where they tend to assign higher likelihoods to OOD samples. Previous studies on this issue are usually not…

Machine Learning · Computer Science 2024-01-04 Zezhen Zeng , Bin Liu

We provide theoretical and empirical evidence that using tighter evidence lower bounds (ELBOs) can be detrimental to the process of learning an inference network by reducing the signal-to-noise ratio of the gradient estimator. Our results…

Machine Learning · Statistics 2019-03-07 Tom Rainforth , Adam R. Kosiorek , Tuan Anh Le , Chris J. Maddison , Maximilian Igl , Frank Wood , Yee Whye Teh

Variational Autoencoders (VAEs) have been shown to be remarkably effective in recovering model latent spaces for several computer vision tasks. However, currently trained VAEs, for a number of reasons, seem to fall short in learning…

Machine Learning · Computer Science 2021-07-27 Chandrajit Bajaj , Avik Roy , Haoran Zhang

The variational autoencoder (VAE) is a popular combination of deep latent variable model and accompanying variational learning technique. By using a neural inference network to approximate the model's posterior on latent variables, VAEs…

Machine Learning · Computer Science 2019-01-30 Junxian He , Daniel Spokoyny , Graham Neubig , Taylor Berg-Kirkpatrick

Estimation of uncertainty in deep learning models is of vital importance, especially in medical imaging, where reliance on inference without taking into account uncertainty could lead to misdiagnosis. Recently, the probabilistic Variational…

Machine Learning · Computer Science 2020-10-20 Haleh Akrami , Anand A. Joshi , Sergul Aydore , Richard M. Leahy

Variational Auto-encoders (VAEs) have been very successful as methods for forming compressed latent representations of complex, often high-dimensional, data. In this paper, we derive an alternative variational lower bound from the one…

Machine Learning · Computer Science 2019-03-20 Shuyu Lin , Ronald Clark , Robert Birke , Niki Trigoni , Stephen Roberts

A trade-off exists between reconstruction quality and the prior regularisation in the Evidence Lower Bound (ELBO) loss that Variational Autoencoder (VAE) models use for learning. There are few satisfactory approaches to deal with a balance…

Machine Learning · Computer Science 2019-09-10 Shuyu Lin , Stephen Roberts , Niki Trigoni , Ronald Clark

We address the challenge of training Vision Transformers (ViTs) when labeled data is scarce but unlabeled data is abundant. We propose Semi-Supervised Masked Autoencoder (SSMAE), a framework that jointly optimizes masked image…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Atik Faysal , Mohammad Rostami , Reihaneh Gh. Roshan , Nikhil Muralidhar , Huaxia Wang