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Related papers: Automatic Differentiation Variational Inference

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Derivative-based algorithms are ubiquitous in statistics, machine learning, and applied mathematics. Automatic differentiation offers an algorithmic way to efficiently evaluate these derivatives from computer programs that execute relevant…

Computation · Statistics 2022-03-01 Charles C. Margossian , Michael Betancourt

Optimizing the expected values of probabilistic processes is a central problem in computer science and its applications, arising in fields ranging from artificial intelligence to operations research to statistical computing. Unfortunately,…

Programming Languages · Computer Science 2022-12-14 Alexander K. Lew , Mathieu Huot , Sam Staton , Vikash K. Mansinghka

Automatic Differentiation Variational Inference (ADVI) is a useful tool for efficiently learning probabilistic models in machine learning. Generally approximate posteriors learned by ADVI are forced to be unimodal in order to facilitate use…

Machine Learning · Computer Science 2020-06-25 Warren R. Morningstar , Sharad M. Vikram , Cusuh Ham , Andrew Gallagher , Joshua V. Dillon

We present Sequential Neural Variational Inference (SNVI), an approach to perform Bayesian inference in models with intractable likelihoods. SNVI combines likelihood-estimation (or likelihood-ratio-estimation) with variational inference to…

Machine Learning · Statistics 2022-10-20 Manuel Glöckler , Michael Deistler , Jakob H. Macke

Automatic differentiation (AD) in reverse mode (RAD) is a central component of deep learning and other uses of large-scale optimization. Commonly used RAD algorithms such as backpropagation, however, are complex and stateful, hindering deep…

Programming Languages · Computer Science 2018-10-03 Conal Elliott

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…

Applications · Statistics 2024-03-07 Dongkyu Derek Cho , Won Chang , Jaewoo Park

Stochastic planning can be reduced to probabilistic inference in large discrete graphical models, but hardness of inference requires approximation schemes to be used. In this paper we argue that such applications can be disentangled along…

Artificial Intelligence · Computer Science 2022-09-05 Zhennan Wu , Roni Khardon

Recent advances in statistical inference have significantly expanded the toolbox of probabilistic modeling. Historically, probabilistic modeling has been constrained to (i) very restricted model classes where exact or approximate…

Machine Learning · Computer Science 2019-10-03 Andrés R. Masegosa , Rafael Cabañas , Helge Langseth , Thomas D. Nielsen , Antonio Salmerón

Variational inference provides a powerful tool for approximate probabilistic in- ference on complex, structured models. Typical variational inference methods, however, require to use inference networks with computationally tractable proba-…

Machine Learning · Statistics 2017-11-01 Qiang Liu , Yihao Feng

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…

Machine Learning · Computer Science 2021-11-23 Ankush Ganguly , Samuel W. F. Earp

We introduce TrustVI, a fast second-order algorithm for black-box variational inference based on trust-region optimization and the reparameterization trick. At each iteration, TrustVI proposes and assesses a step based on minibatches of…

Machine Learning · Computer Science 2017-11-07 Jeffrey Regier , Michael I. Jordan , Jon McAuliffe

Given observed data and a probabilistic generative model, Bayesian inference searches for the distribution of the model's parameters that could have yielded the data. Inference is challenging for large population studies where millions of…

Machine Learning · Statistics 2023-08-31 Louis Rouillard , Alexandre Le Bris , Thomas Moreau , Demian Wassermann

Diffusion models achieve great success in generating diverse and high-fidelity images, yet their widespread application, especially in real-time scenarios, is hampered by their inherently slow generation speed. The slow generation stems…

Computer Vision and Pattern Recognition · Computer Science 2024-08-19 Shengkun Tang , Yaqing Wang , Caiwen Ding , Yi Liang , Yao Li , Dongkuan Xu

In this paper we present a discussion of the basic aspects of the well-known problem of prediction and inference in physics, with specific attention to the role of models, the use of data and the application of recent developments in…

General Physics · Physics 2024-10-07 Luca Gammaitoni , Angelo Vulpiani

Variational inference (VI) combined with data subsampling enables approximate posterior inference over large data sets, but suffers from poor local optima. We first formulate a deterministic annealing approach for the generic class of…

Machine Learning · Statistics 2016-05-31 Stephan Mandt , James McInerney , Farhan Abrol , Rajesh Ranganath , David Blei

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

We develop nested variational inference (NVI), a family of methods that learn proposals for nested importance samplers by minimizing an forward or reverse KL divergence at each level of nesting. NVI is applicable to many commonly-used…

Machine Learning · Statistics 2021-06-22 Heiko Zimmermann , Hao Wu , Babak Esmaeili , Jan-Willem van de Meent

Recent years have witnessed the rapid progression of deep learning, pushing us closer to the realization of AGI (Artificial General Intelligence). Probabilistic modeling is critical to many of these advancements, which provides a…

Artificial Intelligence · Computer Science 2025-03-26 Jianyi Zhang

We describe a variational approximation method for efficient inference in large-scale probabilistic models. Variational methods are deterministic procedures that provide approximations to marginal and conditional probabilities of interest.…

Artificial Intelligence · Computer Science 2011-05-30 T. S. Jaakkola , M. I. Jordan

AI Safety is a major concern in many deep learning applications such as autonomous driving. Given a trained deep learning model, an important natural problem is how to reliably verify the model's prediction. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Tong Che , Xiaofeng Liu , Site Li , Yubin Ge , Ruixiang Zhang , Caiming Xiong , Yoshua Bengio