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Stochastic variational inference makes it possible to approximate posterior distributions induced by large datasets quickly using stochastic optimization. The algorithm relies on the use of fully factorized variational distributions.…

机器学习 · 计算机科学 2014-11-27 Matthew D. Hoffman , David M. Blei

Recently, Stochastic Variational Inference (SVI) has been increasingly attractive thanks to its ability to find good posterior approximations of probabilistic models. It optimizes the variational objective with stochastic optimization,…

机器学习 · 计算机科学 2022-03-16 Minta Liu , Suliang Bu

Variational inference is a powerful approach for approximate posterior inference. However, it is sensitive to initialization and can be subject to poor local optima. In this paper, we develop proximity variational inference (PVI). PVI is a…

机器学习 · 统计学 2017-05-26 Jaan Altosaar , Rajesh Ranganath , David M. Blei

We present a novel formulation for motion planning under uncertainties based on variational inference where the optimal motion plan is modeled as a posterior distribution. We propose a Gaussian variational inference-based framework, termed…

机器人学 · 计算机科学 2025-06-25 Hongzhe Yu , Yongxin Chen

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 approximates the posterior distribution of a probabilistic model with a parameterized density by maximizing a lower bound for the model evidence. Modern solutions fit a flexible approximation with stochastic gradient…

机器学习 · 统计学 2017-07-13 Joseph Sakaya , Arto Klami

Multiple types of inference are available for probabilistic graphical models, e.g., marginal, maximum-a-posteriori, and even marginal maximum-a-posteriori. Which one do researchers mean when they talk about "planning as inference"? There is…

人工智能 · 计算机科学 2025-01-15 Miguel Lázaro-Gredilla , Li Yang Ku , Kevin P. Murphy , Dileep George

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

Lifted probabilistic inference (Poole, 2003) and symbolic dynamic programming for lifted stochastic planning (Boutilier et al, 2001) were introduced around the same time as algorithmic efforts to use abstraction in stochastic systems. Over…

人工智能 · 计算机科学 2017-01-05 Roni Khardon , Scott Sanner

We propose Diffusion Model Variational Inference (DMVI), a novel method for automated approximate inference in probabilistic programming languages (PPLs). DMVI utilizes diffusion models as variational approximations to the true posterior…

机器学习 · 计算机科学 2023-11-23 Simon Dirmeier , Fernando Perez-Cruz

Current black-box variational inference (BBVI) methods require the user to make numerous design choices -- such as the selection of variational objective and approximating family -- yet there is little principled guidance on how to do so.…

Automatic differentiation variational inference (ADVI) offers fast and easy-to-use posterior approximation in multiple modern probabilistic programming languages. However, its stochastic optimizer lacks clear convergence criteria and…

机器学习 · 计算机科学 2024-04-18 Ryan Giordano , Martin Ingram , Tamara Broderick

We present a new algorithm for approximate inference in probabilistic programs, based on a stochastic gradient for variational programs. This method is efficient without restrictions on the probabilistic program; it is particularly…

机器学习 · 统计学 2013-01-08 David Wingate , Theophane Weber

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…

机器学习 · 统计学 2016-06-29 Alexander Moreno , Tameem Adel , Edward Meeds , James M. Rehg , Max Welling

We introduce Support Decomposition Variational Inference (SDVI), a new variational inference (VI) approach for probabilistic programs with stochastic support. Existing approaches to this problem rely on designing a single global variational…

机器学习 · 计算机科学 2023-11-02 Tim Reichelt , Luke Ong , Tom Rainforth

Even if path planning can be solved using standard techniques from dynamic programming and control, the problem can also be approached using probabilistic inference. The algorithms that emerge using the latter framework bear some appealing…

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

We marry ideas from deep neural networks and approximate Bayesian inference to derive a generalised class of deep, directed generative models, endowed with a new algorithm for scalable inference and learning. Our algorithm introduces a…

机器学习 · 统计学 2014-06-02 Danilo Jimenez Rezende , Shakir Mohamed , Daan Wierstra

Bayesian methods have proved powerful in many applications for the inference of model parameters from data. These methods are based on Bayes' theorem, which itself is deceptively simple. However, in practice the computations required are…

统计方法学 · 统计学 2020-07-10 Michael A. Chappell , Mark W. Woolrich

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…

机器学习 · 统计学 2019-10-29 Trevor Campbell , Xinglong Li
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