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Boosting variational inference (BVI) approximates an intractable probability density by iteratively building up a mixture of simple component distributions one at a time, using techniques from sparse convex optimization to provide both…

Machine Learning · Statistics 2019-10-29 Trevor Campbell , Xinglong Li

Since the turn of the century, approximate Bayesian inference has steadily evolved as new computational techniques have been incorporated to handle increasingly complex and large-scale predictive problems. The recent success of deep neural…

Machine Learning · Statistics 2026-01-14 Roy Shivam Ram Shreshtth , Arnab Hazra , Gourab Mukherjee

We develop a fast and accurate grouped penalized credible region approach for variable selection and prediction in Bayesian high-dimensional linear regression. Most existing Bayesian methods either are subject to high computational costs…

Methodology · Statistics 2026-01-26 Weichang Yu , Khue-Dung Dang

Stein variational inference (SVI) is a sample-based approximate Bayesian inference technique that generates a sample set by jointly optimizing the samples' locations to minimize an information-theoretic measure of discrepancy with the…

Machine Learning · Computer Science 2024-10-22 Liam Pavlovic , David M. Rosen

Variational inference is a fast and scalable alternative to Markov chain Monte Carlo and has been widely applied to posterior inference tasks in statistics and machine learning. A traditional approach for implementing mean-field variational…

Statistics Theory · Mathematics 2026-01-01 Qiang Du , Kaizheng Wang , Edith Zhang , Chenyang Zhong

Generalized Bayesian Inference (GBI) tempers a loss with a temperature $\beta > 0$ to mitigate overconfidence and improve robustness under model misspecification, but existing GBI methods typically rely on costly MCMC or SDE-based samplers…

Machine Learning · Statistics 2026-05-25 Shiyi Sun , Geoff K. Nicholls , Jeong Eun Lee

Classical approaches for approximate inference depend on cleverly designed variational distributions and bounds. Modern approaches employ amortized variational inference, which uses a neural network to approximate any posterior without…

Machine Learning · Computer Science 2019-10-10 Yiming Yan , Melissa Ailem , Fei Sha

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

Machine Learning · Statistics 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

Conformal inference provides a rigorous statistical framework for uncertainty quantification in machine learning, enabling well-calibrated prediction sets with precise coverage guarantees for any classification model. However, its reliance…

Bayesian posterior distributions naturally represent parameter uncertainty informed by data. However, when the parameter space is complex, as in many nonparametric settings where it is infinite-dimensional or combinatorially large, standard…

Methodology · Statistics 2025-12-22 Nicola Bariletto , Nhat Ho , Alessandro Rinaldo

Amortized inference promises fast test-time Bayesian inference, but existing methods are inherently tied to fixed models. Extending amortization to unseen models typically requires retraining or costly test-time finetuning. In this paper,…

Machine Learning · Computer Science 2026-05-27 Joohwan Ko , Justin Domke

The aim of this paper is to propose an adaptation of the well known adaptive conformal inference (ACI) algorithm to achieve finite-sample coverage guarantees in multi-step ahead time-series forecasting in the online setting. ACI dynamically…

Machine Learning · Statistics 2024-09-24 Johan Hallberg Szabadváry

We exploit the observation that stochastic variational inference (SVI) is a form of annealing and present a modified SVI approach -- applicable to both large and small datasets -- that allows the amount of annealing done by SVI to be tuned.…

Machine Learning · Computer Science 2025-11-17 John Paisley , Ghazal Fazelnia , Brian Barr

Conformal prediction is a framework for providing prediction intervals with distribution-free validity, guaranteeing predictive coverage for data drawn from any distribution. Its two main variants are full conformal prediction and split…

Methodology · Statistics 2026-05-29 Aabesh Bhattacharyya , Boxuan Zhang , Rina Foygel Barber

Variational Inference (VI) offers a method for approximating intractable likelihoods. In neural VI, inference of approximate posteriors is commonly done using an encoder. Alternatively, encoderless VI offers a framework for learning…

Machine Learning · Computer Science 2023-01-18 Amir Zadeh , Santiago Benoit , Louis-Philippe Morency

This paper introduces a conformal inference method to evaluate uncertainty in classification by generating prediction sets with valid coverage conditional on adaptively chosen features. These features are carefully selected to reflect…

Machine Learning · Statistics 2024-10-31 Yanfei Zhou , Matteo Sesia

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

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

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…

Machine Learning · Computer Science 2019-10-29 William Harvey , Andreas Munk , Atılım Güneş Baydin , Alexander Bergholm , Frank Wood

Amortised inference enables scalable learning of sequential latent-variable models (LVMs) with the evidence lower bound (ELBO). In this setting, variational posteriors are often only partially conditioned. While the true posteriors depend,…

Machine Learning · Computer Science 2021-03-18 Justin Bayer , Maximilian Soelch , Atanas Mirchev , Baris Kayalibay , Patrick van der Smagt