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We introduce overdispersed black-box variational inference, a method to reduce the variance of the Monte Carlo estimator of the gradient in black-box variational inference. Instead of taking samples from the variational distribution, we use…

机器学习 · 统计学 2016-03-04 Francisco J. R. Ruiz , Michalis K. Titsias , David M. Blei

Simulation-based inference (SBI) enables Bayesian analysis when the likelihood is intractable but model simulations are available. Recent advances in statistics and machine learning, including Approximate Bayesian Computation and deep…

统计方法学 · 统计学 2025-09-15 Haoyu Jiang , Yuexi Wang , Yun Yang

Variational approximation methods have proven to be useful for scaling Bayesian computations to large data sets and highly parametrized models. Applying variational methods involves solving an optimization problem, and recent research in…

统计方法学 · 统计学 2017-01-13 Victor M. -H. Ong , David J. Nott , Michael S. Smith

For approximating a target distribution given only its unnormalized log-density, stochastic gradient-based variational inference (VI) algorithms are a popular approach. For example, Wasserstein VI (WVI) and black-box VI (BBVI) perform…

机器学习 · 统计学 2026-05-20 Kyurae Kim , Qiang Fu , Yi-An Ma , Jacob R. Gardner , Trevor Campbell

When investigators seek to estimate causal effects, they often assume that selection into treatment is based only on observed covariates. Under this identification strategy, analysts must adjust for observed confounders. While basic…

应用统计 · 统计学 2019-01-09 Luke Keele , Dylan Small

Deep learning opacity often impedes deployment in high-stakes domains. We propose a training framework that aligns model focus with class-representative features without requiring pixel-level annotations. To this end, we introduce…

人工智能 · 计算机科学 2026-02-16 Giacomo Ignesti , Davide Moroni , Massimo Martinelli

Estimating a distribution given access to its unnormalized density is pivotal in Bayesian inference, where the posterior is generally known only up to an unknown normalizing constant. Variational inference and Markov chain Monte Carlo…

机器学习 · 统计学 2025-05-06 Daniel Ward , Mark Beaumont , Matteo Fasiolo

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…

机器学习 · 计算机科学 2025-02-19 Yadi Wei , Roni Khardon

Variational inference is computationally challenging in models that contain both conjugate and non-conjugate terms. Methods specifically designed for conjugate models, even though computationally efficient, find it difficult to deal with…

机器学习 · 计算机科学 2017-04-14 Mohammad Emtiyaz Khan , Wu Lin

In this paper, we consider a Bayesian bi-level variable selection problem in high-dimensional regressions. In many practical situations, it is natural to assign group membership to each predictor. Examples include that genetic variants can…

应用统计 · 统计学 2018-03-29 Mingxuan Cai , Mingwei Dai , Jingsi Ming , Heng Peng , Jin Liu , Can Yang

Modern methods for Bayesian regression beyond the Gaussian response setting are often computationally impractical or inaccurate in high dimensions. In fact, as discussed in recent literature, bypassing such a trade-off is still an open…

统计方法学 · 统计学 2022-04-14 Augusto Fasano , Daniele Durante , Giacomo Zanella

Many probabilistic models of interest in scientific computing and machine learning have expensive, black-box likelihoods that prevent the application of standard techniques for Bayesian inference, such as MCMC, which would require access to…

机器学习 · 统计学 2018-11-30 Luigi Acerbi

Variational Autoencoders (VAEs) provide a flexible and scalable framework for non-linear dimensionality reduction. However, in application domains such as genomics where data sets are typically tabular and high-dimensional, a black-box…

机器学习 · 统计学 2020-03-10 Kaspar Märtens , Christopher Yau

Approximate inference in high-dimensional, discrete probabilistic models is a central problem in computational statistics and machine learning. This paper describes discrete particle variational inference (DPVI), a new approach that…

机器学习 · 统计学 2015-12-08 Ardavan Saeedi , Tejas D Kulkarni , Vikash Mansinghka , Samuel Gershman

Non-linear hierarchical models are commonly used in many disciplines. However, inference in the presence of non-nested effects and on large datasets is challenging and computationally burdensome. This paper provides two contributions to…

统计方法学 · 统计学 2021-10-22 Max Goplerud

We propose efficient computational methods to fit multivariate Gaussian additive models, where the mean vector and the covariance matrix are allowed to vary with covariates, in an empirical Bayes framework. To guarantee the…

统计计算 · 统计学 2025-04-07 Vincenzo Gioia , Matteo Fasiolo , Ruggero Bellio , Simon N. Wood

This paper tackles the problem of robust covariance matrix estimation when the data is incomplete. Classical statistical estimation methodologies are usually built upon the Gaussian assumption, whereas existing robust estimation ones assume…

In stochastic variational inference, the variational Bayes objective function is optimized using stochastic gradient approximation, where gradients computed on small random subsets of data are used to approximate the true gradient over the…

统计方法学 · 统计学 2015-10-19 Linda S. L. Tan , David J. Nott

The Pachinko Allocation Machine (PAM) is a deep topic model that allows representing rich correlation structures among topics by a directed acyclic graph over topics. Because of the flexibility of the model, however, approximate inference…

计算与语言 · 计算机科学 2018-04-24 Akash Srivastava , Charles Sutton

In a probabilistic latent variable model, factorized (or mean-field) variational inference (F-VI) fits a separate parametric distribution for each latent variable. Amortized variational inference (A-VI) instead learns a common inference…

机器学习 · 统计学 2024-05-27 Charles C. Margossian , David M. Blei