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The variational autoencoder (VAE) is a popular model for density estimation and representation learning. Canonically, the variational principle suggests to prefer an expressive inference model so that the variational approximation is…

Machine Learning · Statistics 2019-01-10 Rui Shu , Hung H. Bui , Shengjia Zhao , Mykel J. Kochenderfer , Stefano Ermon

Meta-learning is a framework in which machine learning models train over a set of datasets in order to produce predictions on new datasets at test time. Probabilistic meta-learning has received an abundance of attention from the research…

Machine Learning · Statistics 2023-09-07 Tommy Rochussen

The proliferation of computing devices has brought about an opportunity to deploy machine learning models on new problem domains using previously inaccessible data. Traditional algorithms for training such models often require data to be…

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…

Machine Learning · Computer Science 2021-02-08 Minyoung Kim , Vladimir Pavlovic

Current variational inference methods for hierarchical Bayesian nonparametric models can neither characterize the correlation structure among latent variables due to the mean-field setting, nor infer the true posterior dimension because of…

Machine Learning · Statistics 2022-04-07 Yirui Liu , Xinghao Qiao , Jessica Lam

We propose a novel amortized variational inference scheme for an empirical Bayes meta-learning model, where model parameters are treated as latent variables. We learn the prior distribution over model parameters conditioned on limited…

Machine Learning · Computer Science 2020-08-31 Ekaterina Iakovleva , Jakob Verbeek , Karteek Alahari

It is difficult to use subsampling with variational inference in hierarchical models since the number of local latent variables scales with the dataset. Thus, inference in hierarchical models remains a challenge at large scale. It is…

Machine Learning · Computer Science 2021-11-08 Abhinav Agrawal , Justin Domke

Variational inference (VI) has become the method of choice for fitting many modern probabilistic models. However, practitioners are faced with a fragmented literature that offers a bewildering array of algorithmic options. First, the…

Machine Learning · Statistics 2018-11-29 Thang D. Bui , Cuong V. Nguyen , Siddharth Swaroop , Richard E. Turner

Variational inference (VI) is widely used for approximate inference in Bayesian machine learning. In addition to this practical success, generalization bounds for variational inference and related algorithms have been developed, mostly…

Machine Learning · Computer Science 2025-02-19 Yadi Wei , Roni Khardon

Efficient exploration is one of the most important issues in deep reinforcement learning. To address this issue, recent methods consider the value function parameters as random variables, and resort variational inference to approximate the…

Machine Learning · Computer Science 2020-11-04 Haotian Zhang , Yuhao Wang , Jianyong Sun , Zongben Xu

Variational inference is a powerful approach for approximate posterior inference. However, it is sensitive to initialization and can be subject to poor local optima. In this paper, we develop proximity variational inference (PVI). PVI is a…

Machine Learning · Statistics 2017-05-26 Jaan Altosaar , Rajesh Ranganath , David M. Blei

A conventional Bayesian approach to prediction uses the posterior distribution to integrate out parameters in a density for unobserved data conditional on the observed data and parameters. When the true posterior is intractable, it is…

Methodology · Statistics 2026-02-27 Lucas Kock , Scott A. Sisson , G. S. Rodrigues , David J. Nott

We consider the problem of state estimation in general state-space models using variational inference. For a generic variational family defined using the same backward decomposition as the actual joint smoothing distribution, we establish…

Methodology · Statistics 2022-06-02 Mathis Chagneux , Élisabeth Gassiat , Pierre Gloaguen , Sylvain Le Corff

The steady-state Bayesian vector autoregression (BVAR) makes it possible to incorporate prior information about the long-run mean of the process. This has been shown in many studies to substantially improve forecasting performance, and the…

Computation · Statistics 2025-06-12 Oskar Gustafsson , Mattias Villani

Bayesian predictive inference propagates parameter uncertainty to quantities of interest through the posterior-predictive distribution. In practice, this is typically performed using a two-stage procedure: first approximating the posterior…

Machine Learning · Statistics 2026-05-06 Nan Feng , Xun Huan

The main challenge in Bayesian models is to determine the posterior for the model parameters. Already, in models with only one or few parameters, the analytical posterior can only be determined in special settings. In Bayesian neural…

Machine Learning · Statistics 2021-06-02 Sefan Hörtling , Daniel Dold , Oliver Dürr , Beate Sick

Variational autoencoders (VAEs) are a popular generative model used to approximate distributions. The encoder part of the VAE is used in amortized learning of latent variables, producing a latent representation for data samples. Recently,…

Machine Learning · Statistics 2023-05-12 Daniel G. Edelberg , Roy R. Lederman

Bayesian inference provides a natural way of incorporating prior beliefs and assigning a probability measure to the space of hypotheses. Current solutions rely on iterative routines like Markov Chain Monte Carlo (MCMC) sampling and…

Machine Learning · Computer Science 2025-02-11 Sarthak Mittal , Niels Leif Bracher , Guillaume Lajoie , Priyank Jaini , Marcus Brubaker

Variational inference (VI) is a widely used framework in Bayesian estimation. For most of the non-Gaussian statistical models, it is infeasible to find an analytically tractable solution to estimate the posterior distributions of the…

Machine Learning · Statistics 2020-01-31 Zhanyu Ma , Jalil Taghia , Jun Guo

Variational inference is a scalable technique for approximate Bayesian inference. Deriving variational inference algorithms requires tedious model-specific calculations; this makes it difficult to automate. We propose an automatic…

Machine Learning · Statistics 2015-06-15 Alp Kucukelbir , Rajesh Ranganath , Andrew Gelman , David M. Blei