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Variational inference for latent variable models is prevalent in various machine learning problems, typically solved by maximizing the Evidence Lower Bound (ELBO) of the true data likelihood with respect to a variational distribution.…

Machine Learning · Computer Science 2018-07-11 Guoqing Zheng , Yiming Yang , Jaime Carbonell

In Bayesian machine learning, the posterior distribution is typically computationally intractable, hence variational inference is often required. In this approach, an evidence lower bound on the log likelihood of data is maximized during…

Machine Learning · Computer Science 2019-07-23 Stephen Odaibo

Variational autoencoders (VAEs) are powerful generative modelling methods, however they suffer from blurry generated samples and reconstructions compared to the images they have been trained on. Significant research effort has been spent to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Gustav Bredell , Kyriakos Flouris , Krishna Chaitanya , Ertunc Erdil , Ender Konukoglu

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

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

The Evidence Lower Bound (ELBO) is a quantity that plays a key role in variational inference. It can also be used as a criterion in model selection. However, though extremely popular in practice in the variational Bayes community, there has…

Statistics Theory · Mathematics 2019-04-09 Badr-Eddine Chérief-Abdellatif

Auto-encoding Variational Bayes (AEVB) is a powerful and general algorithm for fitting latent variable models (a promising direction for unsupervised learning), and is well-known for training the Variational Auto-Encoder (VAE). In this…

Machine Learning · Computer Science 2022-08-17 Yang Zhi-Han

The importance of Variational Autoencoders reaches far beyond standalone generative models -- the approach is also used for learning latent representations and can be generalized to semi-supervised learning. This requires a thorough…

Machine Learning · Computer Science 2022-04-12 Alexander Shekhovtsov , Dmitrij Schlesinger , Boris Flach

When training large models on limited data, avoiding overfitting is paramount. Common grid search or smarter search methods rely on expensive separate runs for each candidate hyperparameter, while carving out a validation set that reduces…

Machine Learning · Computer Science 2026-04-02 Ethan Harvey , Mikhail Petrov , Michael C. Hughes

Multimodal variational autoencoders have demonstrated their ability to learn the relationships between different modalities by mapping them into a latent representation. Their design and capacity to perform any-to-any conditional and…

Machine Learning · Computer Science 2025-02-04 Daniel Wesego , Pedram Rooshenas

Variational Autoencoders (VAEs) have experienced recent success as data-generating models by using simple architectures that do not require significant fine-tuning of hyperparameters. However, VAEs are known to suffer from…

Machine Learning · Statistics 2020-07-22 Wei Cheng , Gregory Darnell , Sohini Ramachandran , Lorin Crawford

Recent methods for knowledge grounded dialogs generate responses by incorporating information from an external textual document. These methods do not require the exact document to be known during training and rely on the use of a retrieval…

Computation and Language · Computer Science 2022-08-16 Mayank Mishra , Dhiraj Madan , Gaurav Pandey , Danish Contractor

We view variational autoencoders (VAE) as decoder-encoder pairs, which map distributions in the data space to distributions in the latent space and vice versa. The standard learning approach for VAEs is the maximisation of the evidence…

Machine Learning · Computer Science 2024-03-13 Boris Flach , Dmitrij Schlesinger , Alexander Shekhovtsov

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

Variational Autoencoders (VAEs) have become a cornerstone in generative modeling and representation learning within machine learning. This paper explores a nuanced aspect of VAEs, focusing on interpreting the Kullback-Leibler (KL)…

Machine Learning · Computer Science 2024-06-25 Mariano Rivera

In this paper, we bridge Variational Autoencoders (VAEs) and kernel density estimations (KDEs) by approximating the posterior by KDEs and deriving an upper bound of the Kullback-Leibler (KL) divergence in the evidence lower bound (ELBO).…

Machine Learning · Statistics 2025-05-13 Tian Qin , Wei-Min Huang

Variational Autoencoders (VAEs) are a popular generative model, but one in which conditional inference can be challenging. If the decomposition into query and evidence variables is fixed, conditional VAEs provide an attractive solution. To…

Machine Learning · Statistics 2018-10-05 Ga Wu , Justin Domke , Scott Sanner

Training deep generative models like Variational Autoencoders (VAEs) requires propagating gradients through stochastic latent variables, which introduces estimation variance that can slow convergence and degrade performance. In this paper,…

Machine Learning · Computer Science 2026-02-27 Zilei Shao , Anji Liu , Guy Van den Broeck

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…

Machine Learning · Computer Science 2022-06-08 Samarth Sinha , Adji B. Dieng

Variational autoencoders (VAEs) are popular likelihood-based generative models which can be efficiently trained by maximizing an Evidence Lower Bound (ELBO). There has been much progress in improving the expressiveness of the variational…

Machine Learning · Statistics 2023-08-29 Marcel Hirt , Vasileios Kreouzis , Petros Dellaportas