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Related papers: Doubly Semi-Implicit Variational Inference

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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

In the partially-observed outcome setting, a recent set of proposals known as "prediction-powered inference" (PPI) involve (i) applying a pre-trained machine learning model to predict the response, and then (ii) using these predictions to…

Methodology · Statistics 2026-02-12 Runjia Zou , Daniela Witten , Brian Williamson

Stochastic Natural Gradient Variational Inference (NGVI) is a widely used method for approximating posterior distribution in probabilistic models. Despite its empirical success and foundational role in variational inference, its theoretical…

Machine Learning · Computer Science 2025-10-23 Fangyuan Sun , Ilyas Fatkhullin , Niao He

Sampling and Variational Inference (VI) are two large families of methods for approximate inference that have complementary strengths. Sampling methods excel at approximating arbitrary probability distributions, but can be inefficient. VI…

Machine Learning · Statistics 2022-03-07 Richard D. Lange , Ari Benjamin , Ralf M. Haefner , Xaq Pitkow

Interpretable machine learning has gained much attention recently. Briefness and comprehensiveness are necessary in order to provide a large amount of information concisely when explaining a black-box decision system. However, existing…

Machine Learning · Computer Science 2019-10-04 Seojin Bang , Pengtao Xie , Heewook Lee , Wei Wu , Eric Xing

This paper introduces distributed speculative inference (DSI), a novel inference algorithm that is provably faster than speculative inference (SI) [leviathan2023, chen2023, miao2024, sun2025, timor2025] and standard autoregressive inference…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Nadav Timor , Jonathan Mamou , Daniel Korat , Moshe Berchansky , Oren Pereg , Moshe Wasserblat , Tomer Galanti , Michal Gordon , David Harel

We introduce a novel one-parameter variational objective that lower bounds the data evidence and enables the estimation of approximate fractional posteriors. We extend this framework to hierarchical construction and Bayes posteriors,…

Machine Learning · Computer Science 2026-03-31 Kian Ming A. Chai , Edwin V. Bonilla

Variational Inference (VI) is a popular alternative to asymptotically exact sampling in Bayesian inference. Its main workhorse is optimization over a reverse Kullback-Leibler divergence (RKL), which typically underestimates the tail of the…

Machine Learning · Statistics 2021-07-01 Ghassen Jerfel , Serena Wang , Clara Fannjiang , Katherine A. Heller , Yian Ma , Michael I. Jordan

We introduce Pawsterior, a variational flow-matching framework for improved and extended simulation-based inference (SBI). Many SBI problems involve posteriors constrained by structured domains, such as bounded physical parameters or hybrid…

Machine Learning · Computer Science 2026-03-10 Jorge Carrasco-Pollo , Floor Eijkelboom , Jan-Willem van de Meent

The differential stochastic variational inequality with parametric convex optimization (DSVI-O) is an ordinary differential equation whose right-hand side involves a stochastic variational inequality and solutions of several dynamic and…

Optimization and Control · Mathematics 2025-09-16 Xiaojun Chen , Jian Guo , Guan Wang

Bayesian statistical inference loses predictive optimality when generative models are misspecified. Working within an existing coherent loss-based generalisation of Bayesian inference, we show existing Modular/Cut-model inference is…

Methodology · Statistics 2026-05-18 Chris U. Carmona , Geoff K. Nicholls

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

We introduce a new variational inference (VI) framework, called energetic variational inference (EVI). It minimizes the VI objective function based on a prescribed energy-dissipation law. Using the EVI framework, we can derive many existing…

Machine Learning · Statistics 2026-05-12 Yiwei Wang , Jiuhai Chen , Chun Liu , Lulu Kang

We present VBPI-Mixtures, an algorithm designed to enhance the accuracy of phylogenetic posterior distributions, particularly for tree-topology and branch-length approximations. Despite the Variational Bayesian Phylogenetic Inference…

Machine Learning · Computer Science 2023-10-03 Oskar Kviman , Ricky Molén , Jens Lagergren

In Generalised Bayesian Inference (GBI), the learning rate and hyperparameters of the loss must be estimated. These inference-hyperparameters can't be estimated jointly with the other parameters, from the data, by giving them a prior.…

Methodology · Statistics 2026-05-18 Jeong Eun Lee , Sitong Liu , Geoff K. Nicholls

We prove rates of convergence and robustness to prior misspecification within a Generalised Variational Inference (GVI) framework with bounded divergences. This addresses a significant open challenge for GVI and Federated GVI that employ a…

Statistics Theory · Mathematics 2025-12-04 Terje Mildner , Paris Giampouras , Theodoros Damoulas

Variational mean field approximations tend to struggle with contemporary overparametrized deep neural networks. Where a Bayesian treatment is usually associated with high-quality predictions and uncertainties, the practical reality has been…

The practical impact of deep learning on complex supervised learning problems has been significant, so much so that almost every Artificial Intelligence problem, or at least a portion thereof, has been somehow recast as a deep learning…

Machine Learning · Statistics 2018-03-19 Housam Khalifa Bashier Babiker , Randy Goebel

Variational inference (VI) is a popular approach in Bayesian inference, that looks for the best approximation of the posterior distribution within a parametric family, minimizing a loss that is typically the (reverse) Kullback-Leibler (KL)…

Machine Learning · Statistics 2025-11-18 Marguerite Petit-Talamon , Marc Lambert , Anna Korba

Stochastic variational inference (SVI) employs stochastic optimization to scale up Bayesian computation to massive data. Since SVI is at its core a stochastic gradient-based algorithm, horizontal parallelism can be harnessed to allow larger…

Machine Learning · Statistics 2018-01-16 Saad Mohamad , Abdelhamid Bouchachia , Moamar Sayed-Mouchaweh