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Variational inference (VI) is a computationally efficient and scalable methodology for approximate Bayesian inference. It strikes a balance between accuracy of uncertainty quantification and practical tractability. It excels at generative…

Many modern unsupervised or semi-supervised machine learning algorithms rely on Bayesian probabilistic models. These models are usually intractable and thus require approximate inference. Variational inference (VI) lets us approximate a…

机器学习 · 计算机科学 2018-10-24 Cheng Zhang , Judith Butepage , Hedvig Kjellstrom , Stephan Mandt

The core principle of Variational Inference (VI) is to convert the statistical inference problem of computing complex posterior probability densities into a tractable optimization problem. This property enables VI to be faster than several…

机器学习 · 计算机科学 2023-10-25 Ankush Ganguly , Sanjana Jain , Ukrit Watchareeruetai

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…

机器学习 · 计算机科学 2022-12-20 Felix Leibfried

Approximating complex probability densities is a core problem in modern statistics. In this paper, we introduce the concept of Variational Inference (VI), a popular method in machine learning that uses optimization techniques to estimate…

机器学习 · 计算机科学 2021-11-23 Ankush Ganguly , Samuel W. F. Earp

Variational inference (VI) provides fast approximations of a Bayesian posterior in part because it formulates posterior approximation as an optimization problem: to find the closest distribution to the exact posterior over some family of…

机器学习 · 统计学 2017-03-03 Fangjian Guo , Xiangyu Wang , Kai Fan , Tamara Broderick , David B. Dunson

We give extensive empirical evidence against the common belief that variational learning is ineffective for large neural networks. We show that an optimizer called Improved Variational Online Newton (IVON) consistently matches or…

Vanilla variational inference finds an optimal approximation to the Bayesian posterior distribution, but even the exact Bayesian posterior is often not meaningful under model misspecification. We propose predictive variational inference…

机器学习 · 统计学 2026-03-31 Jinlin Lai , Antonio Linero , Yuling Yao

Variational inference is a powerful tool for approximate inference. However, it mainly focuses on the evidence lower bound as variational objective and the development of other measures for variational inference is a promising area of…

机器学习 · 计算机科学 2016-12-06 Michael Figurnov , Kirill Struminsky , Dmitry Vetrov

One of the core problems of modern statistics is to approximate difficult-to-compute probability densities. This problem is especially important in Bayesian statistics, which frames all inference about unknown quantities as a calculation…

统计计算 · 统计学 2018-05-11 David M. Blei , Alp Kucukelbir , Jon D. McAuliffe

Deep learning has revolutionized the last decade, being at the forefront of extraordinary advances in a wide range of tasks including computer vision, natural language processing, and reinforcement learning, to name but a few. However, it…

机器学习 · 计算机科学 2024-01-24 Sebastian W. Ober

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…

机器学习 · 统计学 2018-11-29 Thang D. Bui , Cuong V. Nguyen , Siddharth Swaroop , Richard E. Turner

Despite remarkable progress in recent years, Vision Language Models (VLMs) remain prone to overconfidence and hallucinations on tasks such as Visual Question Answering (VQA) and Visual Reasoning. Bayesian methods can potentially improve…

计算机视觉与模式识别 · 计算机科学 2026-04-23 Tobias Jan Wieczorek , Nathalie Daun , Mohammad Emtiyaz Khan , Marcus Rohrbach

Variational inference (VI) is a popular method for approximating intractable posterior distributions in Bayesian inference and probabilistic machine learning. In this paper, we introduce a general framework for quantifying the statistical…

统计理论 · 数学 2025-07-18 Chenyang Zhong , Sumit Mukherjee , Bodhisattva Sen

Variational inference is a popular method for estimating model parameters and conditional distributions in hierarchical and mixed models, which arise frequently in many settings in the health, social, and biological sciences. Variational…

统计方法学 · 统计学 2019-01-10 Ted Westling , Tyler H. McCormick

Computer models play a crucial role in numerous scientific and engineering domains. To ensure the accuracy of simulations, it is essential to properly calibrate the input parameters of these models through statistical inference. While…

应用统计 · 统计学 2024-03-07 Dongkyu Derek Cho , Won Chang , Jaewoo Park

Amortized variational inference is an often employed framework in simulation-based inference that produces a posterior approximation that can be rapidly computed given any new observation. Unfortunately, there are few guarantees about the…

统计方法学 · 统计学 2024-07-26 Yash Patel , Declan McNamara , Jackson Loper , Jeffrey Regier , Ambuj Tewari

Large-scale deep neural networks (DNNs) such as convolutional neural networks (CNNs) have achieved impressive performance in audio classification for their powerful capacity and strong generalization ability. However, when training a DNN…

This paper introduces a lightweight uncertainty estimator capable of predicting multimodal (disjoint) uncertainty bounds by integrating conformal prediction with a deep-learning regressor. We specifically discuss its application for visual…

机器学习 · 计算机科学 2023-09-21 Domenico Parente , Nastaran Darabi , Alex C. Stutts , Theja Tulabandhula , Amit Ranjan Trivedi

Inference networks of traditional Variational Autoencoders (VAEs) are typically amortized, resulting in relatively inaccurate posterior approximation compared to instance-wise variational optimization. Recent semi-amortized approaches were…

机器学习 · 计算机科学 2020-11-18 Minyoung Kim , Vladimir Pavlovic
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