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Variational inference (VI) is a specific type of approximate Bayesian inference that approximates an intractable posterior distribution with a tractable one. VI casts the inference problem as an optimization problem, more specifically, the…

Machine Learning · Computer Science 2022-12-20 Felix Leibfried

Decomposition of the evidence lower bound (ELBO) objective of VAE used for density estimation revealed the deficiency of VAE for representation learning and suggested ways to improve the model. In this paper, we investigate whether we can…

Machine Learning · Computer Science 2022-11-22 Fahim Faisal Niloy , M. Ashraful Amin , AKM Mahbubur Rahman , Amin Ahsan Ali

Semi-implicit distributions have shown great promise in variational inference and generative modeling. Hierarchical semi-implicit models, which stack multiple semi-implicit layers, enhance the expressiveness of semi-implicit distributions…

Machine Learning · Statistics 2025-06-10 Longlin Yu , Jiajun Zha , Tong Yang , Tianyu Xie , Xiangyu Zhang , S. -H. Gary Chan , Cheng Zhang

In real-world applications, it is often expensive and time-consuming to obtain labeled examples. In such cases, knowledge transfer from related domains, where labels are abundant, could greatly reduce the need for extensive labeling…

Machine Learning · Computer Science 2018-12-10 Marouan Belhaj , Pavlos Protopapas , Weiwei Pan

Approximate Bayesian Computation (ABC) is a framework for performing likelihood-free posterior inference for simulation models. Stochastic Variational inference (SVI) is an appealing alternative to the inefficient sampling approaches…

Machine Learning · Statistics 2016-06-29 Alexander Moreno , Tameem Adel , Edward Meeds , James M. Rehg , Max Welling

Stochastic natural gradient variational inference (NGVI) is a popular posterior inference method with applications in various probabilistic models. Despite its wide usage, little is known about the non-asymptotic convergence rate in the…

Machine Learning · Computer Science 2024-06-05 Kaiwen Wu , Jacob R. Gardner

Black-box variational inference (BBVI) with Gaussian mixture families offers a flexible approach for approximating complex posterior distributions without requiring gradients of the target density. However, standard numerical optimization…

Machine Learning · Computer Science 2026-05-29 Baojun Che , Yifan Chen , Daniel Zhengyu Huang , Xinying Mao , Weijie Wang

Simulation-Based Inference (SBI) is a common name for an emerging family of approaches that infer the model parameters when the likelihood is intractable. Existing SBI methods either approximate the likelihood, such as Approximate Bayesian…

Machine Learning · Computer Science 2023-11-29 Theo Gruner , Boris Belousov , Fabio Muratore , Daniel Palenicek , Jan Peters

We provide the first convergence guarantee for full black-box variational inference (BBVI), also known as Monte Carlo variational inference. While preliminary investigations worked on simplified versions of BBVI (e.g., bounded domain,…

Machine Learning · Computer Science 2024-01-12 Kyurae Kim , Jisu Oh , Kaiwen Wu , Yi-An Ma , Jacob R. Gardner

Black-box variational inference (BBVI) now sees widespread use in machine learning and statistics as a fast yet flexible alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, stochastic optimization…

Machine Learning · Statistics 2025-09-22 Manushi Welandawe , Michael Riis Andersen , Aki Vehtari , Jonathan H. Huggins

The expressiveness of flow-based models combined with stochastic variational inference (SVI) has expanded the application of optimization-based Bayesian inference to highly complex problems. However, despite the importance of multi-model…

Computation · Statistics 2026-02-17 Laurence Davies , Dan Mackinlay , Rafael Oliveira , Scott A. Sisson

Future wireless networks are envisioned to provide ubiquitous sensing services, which also gives rise to a substantial demand for high-dimensional non-convex parameter estimation, i.e., the associated likelihood function is non-convex and…

Signal Processing · Electrical Eng. & Systems 2023-10-10 Zhixiang Hu , An Liu , Minjian Zhao

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

Estimating mutual information between continuous random variables is often intractable and extremely challenging for high-dimensional data. Recent progress has leveraged neural networks to optimize variational lower bounds on mutual…

Machine Learning · Computer Science 2020-12-01 Ruizhi Liao , Daniel Moyer , Polina Golland , William M. Wells

Simulation-Based Inference (SBI) is a promising Bayesian inference framework that alleviates the need for analytic likelihoods to estimate posterior distributions. Recent advances using neural density estimators in SBI algorithms have…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Justine Zeghal , François Lanusse , Alexandre Boucaud , Benjamin Remy , Eric Aubourg

Solving high-dimensional Bayesian inverse problems (BIPs) with the variational inference (VI) method is promising but still challenging. The main difficulties arise from two aspects. First, VI methods approximate the posterior distribution…

Numerical Analysis · Mathematics 2023-02-23 Yingzhi Xia , Qifeng Liao , Jinglai Li

A key design constraint when implementing Monte Carlo and variational inference algorithms is that it must be possible to cheaply and exactly evaluate the marginal densities of proposal distributions and variational families. This takes…

Machine Learning · Computer Science 2022-11-22 Alexander K. Lew , Marco Cusumano-Towner , Vikash K. Mansinghka

Frame-based cameras with extended exposure times often produce perceptible visual blurring and information loss between frames, significantly degrading video quality. To address this challenge, we introduce EVDI++, a unified self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-09-11 Chi Zhang , Xiang Zhang , Chenxu Jiang , Gui-Song Xia , Lei Yu

Identifying the parameters of a non-linear model that best explain observed data is a core task across scientific fields. When such models rely on complex simulators, evaluating the likelihood is typically intractable, making traditional…

In this paper we study a class of split variational inclusion (SVI) and regularized split variational inclusion (RSVI) problems in real Hilbert spaces. We discuss various analytical properties of the net generated by the RSVI and establish…

Optimization and Control · Mathematics 2023-10-17 Soumitra Dey , Chinedu Izuchukwu , Adeolu Taiwo , Simeon Reich
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