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Bayesian analyses combine information represented by different terms in a joint Bayesian model. When one or more of the terms is misspecified, it can be helpful to restrict the use of information from suspect model components to modify…

统计方法学 · 统计学 2022-06-27 Xuejun Yu , David J. Nott , Michael Stanley Smith

Variational inference is a popular technique to approximate a possibly intractable Bayesian posterior with a more tractable one. Recently, boosting variational inference has been proposed as a new paradigm to approximate the posterior by a…

机器学习 · 计算机科学 2018-03-08 Francesco Locatello , Rajiv Khanna , Joydeep Ghosh , Gunnar Rätsch

Inference for Variational Autoencoders (VAEs) consists of learning two models: (1) a generative model, which transforms a simple distribution over a latent space into the distribution over observed data, and (2) an inference model, which…

机器学习 · 统计学 2024-06-14 Yaniv Yacoby , Weiwei Pan , Finale Doshi-Velez

Models with a large number of latent variables are often used to fully utilize the information in big or complex data. However, they can be difficult to estimate using standard approaches, and variational inference methods are a popular…

统计方法学 · 统计学 2021-04-20 Rubén Loaiza-Maya , Michael Stanley Smith , David J. Nott , Peter J. Danaher

Bayesian inference provides principled uncertainty quantification, but accurate posterior sampling with MCMC can be computationally prohibitive for modern applications. Variational inference (VI) offers a scalable alternative and often…

统计方法学 · 统计学 2026-05-14 Laura Battaglia , Stefano Cortinovis , Chris Holmes , David T. Frazier , Jack Jewson

Variational inference offers scalable and flexible tools to tackle intractable Bayesian inference of modern statistical models like Bayesian neural networks and Gaussian processes. For largely over-parameterized models, however, the…

机器学习 · 统计学 2019-12-03 Simone Rossi , Sebastien Marmin , Maurizio Filippone

Variational inference has become an increasingly attractive fast alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, a major obstacle to the widespread use of variational methods is the lack of…

机器学习 · 统计学 2020-03-03 Jonathan H. Huggins , Mikołaj Kasprzak , Trevor Campbell , Tamara Broderick

Variational Bayes methods approximate the posterior density by a family of tractable distributions whose parameters are estimated by optimisation. Variational approximation is useful when exact inference is intractable or very costly. Our…

统计计算 · 统计学 2023-08-15 David Gunawan , Robert Kohn , David Nott

From medical diagnosis to autonomous vehicles, critical applications rely on the integration of multiple heterogeneous data modalities. Multimodal Variational Autoencoders offer versatile and scalable methods for generating unobserved…

机器学习 · 计算机科学 2025-02-07 Agathe Senellart , Stéphanie Allassonnière

Variational inference lies at the core of many state-of-the-art algorithms. To improve the approximation of the posterior beyond parametric families, it was proposed to include MCMC steps into the variational lower bound. In this work we…

机器学习 · 统计学 2016-09-28 Christopher Wolf , Maximilian Karl , Patrick van der Smagt

Learned image reconstruction techniques using deep neural networks have recently gained popularity, and have delivered promising empirical results. However, most approaches focus on one single recovery for each observation, and thus neglect…

计算机视觉与模式识别 · 计算机科学 2021-10-26 Chen Zhang , Riccardo Barbano , Bangti Jin

We present a new approach to automatic amortized inference in universal probabilistic programs which improves performance compared to current methods. Our approach is a variation of inference compilation (IC) which leverages deep neural…

机器学习 · 计算机科学 2019-10-29 William Harvey , Andreas Munk , Atılım Güneş Baydin , Alexander Bergholm , Frank Wood

Discrete choice models are commonly used by applied statisticians in numerous fields, such as marketing, economics, finance, and operations research. When agents in discrete choice models are assumed to have differing preferences, exact…

统计方法学 · 统计学 2010-06-04 Michael Braun , Jon McAuliffe

Variational autoencoder (VAE) is a very successful generative model whose key element is the so called amortized inference network, which can perform test time inference using a single feed forward pass. Unfortunately, this comes at the…

机器学习 · 计算机科学 2021-02-08 Minyoung Kim , Vladimir Pavlovic

Variational inference has become a widely used method to approximate posteriors in complex latent variables models. However, deriving a variational inference algorithm generally requires significant model-specific analysis, and these…

机器学习 · 统计学 2014-01-03 Rajesh Ranganath , Sean Gerrish , David M. Blei

Variational inference is a powerful tool for approximate inference, and it has been recently applied for representation learning with deep generative models. We develop the variational Gaussian process (VGP), a Bayesian nonparametric…

机器学习 · 统计学 2016-04-19 Dustin Tran , Rajesh Ranganath , David M. Blei

Deep learning has revolutionized the last decade, being at the forefront of extraordinary advances in a wide range of tasks including computer vision, natural language processing, and reinforcement learning, to name but a few. However, it…

机器学习 · 计算机科学 2024-01-24 Sebastian W. Ober

The Black Box Variational Inference (Ranganath et al. (2014)) algorithm provides a universal method for Variational Inference, but taking advantage of special properties of the approximation family or of the target can improve the…

统计计算 · 统计学 2019-06-18 Alexander Immer , Guillaume P. Dehaene

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.…

机器学习 · 计算机科学 2018-07-11 Guoqing Zheng , Yiming Yang , Jaime Carbonell

Variational inference (VI) is a computationally efficient and scalable methodology for approximate Bayesian inference. It strikes a balance between accuracy of uncertainty quantification and practical tractability. It excels at generative…