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Transformation-based methods have been an attractive approach in non-parametric inference for problems such as unconditional and conditional density estimation due to their unique hierarchical structure that models the data as flexible…

Statistics Theory · Mathematics 2020-11-06 Sean Plummer , Shuang Zhou , Anirban Bhattacharya , David Dunson , Debdeep Pati

The {\lambda}-exponential family has recently been proposed to generalize the exponential family. While the exponential family is well-understood and widely used, this it not the case of the {\lambda}-exponential family. However, many…

Statistics Theory · Mathematics 2024-06-21 Thomas Guilmeau , Emilie Chouzenoux , Víctor Elvira

We propose denoising diffusion variational inference (DDVI), a black-box variational inference algorithm for latent variable models which relies on diffusion models as flexible approximate posteriors. Specifically, our method introduces an…

Machine Learning · Computer Science 2026-03-16 Wasu Top Piriyakulkij , Yingheng Wang , Volodymyr Kuleshov

Auto-encoding generative adversarial networks (GANs) combine the standard GAN algorithm, which discriminates between real and model-generated data, with a reconstruction loss given by an auto-encoder. Such models aim to prevent mode…

Machine Learning · Statistics 2017-10-24 Mihaela Rosca , Balaji Lakshminarayanan , David Warde-Farley , Shakir Mohamed

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

This paper introduces a novel approach to embed flow-based models with hierarchical structures. The proposed framework is named Variational Flow Graphical (VFG) Model. VFGs learn the representation of high dimensional data via a…

Machine Learning · Statistics 2022-07-07 Shaogang Ren , Belhal Karimi , Dingcheng Li , Ping Li

Coordinate ascent variational inference is an important algorithm for inference in probabilistic models, but it is slow because it updates only a single variable at a time. Block coordinate methods perform inference faster by updating…

Machine Learning · Computer Science 2018-05-21 Neal Lawton , Aram Galstyan , Greg Ver Steeg

In this paper, we show how the mixture components cooperate when they jointly adapt to maximize the ELBO. We build upon recent advances in the multiple and adaptive importance sampling literature. We then model the mixture components using…

Machine Learning · Computer Science 2023-07-20 Oskar Kviman , Ricky Molén , Alexandra Hotti , Semih Kurt , Víctor Elvira , Jens Lagergren

Recent progress in deep latent variable models has largely been driven by the development of flexible and scalable variational inference methods. Variational training of this type involves maximizing a lower bound on the log-likelihood,…

Machine Learning · Computer Science 2016-06-02 Andriy Mnih , Danilo J. Rezende

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

Traditional neural networks are simple to train but they typically produce overconfident predictions. In contrast, Bayesian neural networks provide good uncertainty quantification but optimizing them is time consuming due to the large…

Machine Learning · Computer Science 2024-11-07 Yadi Wei , Roni Khardon

Recent advances in deep learning have brought to the fore models that can make multiple computational steps in the service of completing a task; these are capable of describ- ing long-term dependencies in sequential data. Novel recurrent…

Machine Learning · Computer Science 2018-09-06 Kyriakos Tolias , Sotirios Chatzis

Real world datasets often contain entries with missing elements e.g. in a medical dataset, a patient is unlikely to have taken all possible diagnostic tests. Variational Autoencoders (VAEs) are popular generative models often used for…

Machine Learning · Computer Science 2021-03-23 Mark Collier , Alfredo Nazabal , Christopher K. I. Williams

Variational autoencoders (VAEs) are a standard framework for inducing latent variable models that have been shown effective in learning text representations as well as in text generation. The key challenge with using VAEs is the {\it…

Machine Learning · Computer Science 2020-05-01 Serhii Havrylov , Ivan Titov

We propose an analytical solution for approximating the gradient of the Evidence Lower Bound (ELBO) in variational inference problems where the statistical model is a Bayesian network consisting of observations drawn from a mixture of a…

Machine Learning · Computer Science 2025-04-14 Roumen Nikolaev Popov

Inference in discrete graphical models with variational methods is difficult because of the inability to re-parameterize gradients of the Evidence Lower Bound (ELBO). Many sampling-based methods have been proposed for estimating these…

Machine Learning · Computer Science 2020-10-23 Andy Shih , Stefano Ermon

Variational autoencoders provide a principled framework for learning deep latent-variable models and corresponding inference models. In this work, we provide an introduction to variational autoencoders and some important extensions.

Machine Learning · Computer Science 2019-12-12 Diederik P. Kingma , Max Welling

We present a general method for deriving collapsed variational inference algo- rithms for probabilistic models in the conjugate exponential family. Our method unifies many existing approaches to collapsed variational inference. Our…

Machine Learning · Computer Science 2012-12-05 James Hensman , Magnus Rattray , Neil D. Lawrence

Bayesian inference for high-dimensional inverse problems is computationally costly and requires selecting a suitable prior distribution. Amortized variational inference addresses these challenges via a neural network that approximates the…

Machine Learning · Statistics 2023-01-19 Ali Siahkoohi , Gabrio Rizzuti , Rafael Orozco , Felix J. Herrmann

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