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相关论文: Boosting Black Box Variational Inference

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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

Variational Bayes (VB) is a popular estimation method for Bayesian inference. However, most existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes their use in many important situations. Tran et…

统计方法学 · 统计学 2017-05-19 David Gunawan , Minh-Ngoc Tran , Robert Kohn

We propose a family of variational approximations to Bayesian posterior distributions, called $\alpha$-VB, with provable statistical guarantees. The standard variational approximation is a special case of $\alpha$-VB with $\alpha=1$. When…

统计理论 · 数学 2018-02-09 Yun Yang , Debdeep Pati , Anirban Bhattacharya

We study the problem of preferential Bayesian optimization (BO), where we aim to optimize a black-box function with only preference feedback over a pair of candidate solutions. Inspired by the likelihood ratio idea, we construct a…

机器学习 · 计算机科学 2024-05-30 Wenjie Xu , Wenbin Wang , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

To obtain uncertainty estimates with real-world Bayesian deep learning models, practical inference approximations are needed. Dropout variational inference (VI) for example has been used for machine vision and medical applications, but VI…

机器学习 · 计算机科学 2017-03-09 Yingzhen Li , Yarin Gal

We develop an optimization algorithm suitable for Bayesian learning in complex models. Our approach relies on natural gradient updates within a general black-box framework for efficient training with limited model-specific derivations. It…

机器学习 · 统计学 2022-12-13 Martin Magris , Mostafa Shabani , Alexandros Iosifidis

Recent work used importance sampling ideas for better variational bounds on likelihoods. We clarify the applicability of these ideas to pure probabilistic inference, by showing the resulting Importance Weighted Variational Inference (IWVI)…

机器学习 · 计算机科学 2018-10-30 Justin Domke , Daniel Sheldon

We develop an automated variational inference method for Bayesian structured prediction problems with Gaussian process (GP) priors and linear-chain likelihoods. Our approach does not need to know the details of the structured likelihood…

机器学习 · 统计学 2016-09-15 Pietro Galliani , Amir Dezfouli , Edwin V. Bonilla , Novi Quadrianto

The recent introduction of thermodynamic integration techniques has provided a new framework for understanding and improving variational inference (VI). In this work, we present a careful analysis of the thermodynamic variational objective…

机器学习 · 计算机科学 2021-11-16 Junya Chen , Danni Lu , Zidi Xiu , Ke Bai , Lawrence Carin , Chenyang Tao

Bayesian optimization (BO) has emerged during the last few years as an effective approach to optimizing black-box functions where direct queries of the objective are expensive. In this paper we consider the case where direct access to the…

机器学习 · 统计学 2017-04-13 Javier Gonzalez , Zhenwen Dai , Andreas Damianou , Neil D. Lawrence

Variational Bayes methods approximate the posterior density by a family of tractable distributions whose parameters are estimated by optimisation. Variational approximation is useful when exact inference is intractable or very costly. Our…

统计计算 · 统计学 2023-08-15 David Gunawan , Robert Kohn , David Nott

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

Large reasoning models (LRMs) generate intermediate reasoning traces before producing final answers, yielding strong gains on multi-step and mathematical tasks. Yet aligning LRMs with human preferences, a crucial prerequisite for model…

机器学习 · 计算机科学 2025-10-07 Mingkang Zhu , Xi Chen , Bei Yu , Hengshuang Zhao , Jiaya Jia

Key to effective generic, or "black-box", variational inference is the selection of an approximation to the target density that balances accuracy and speed. Copula models are promising options, but calibration of the approximation can be…

统计方法学 · 统计学 2022-07-01 Michael Stanley Smith , Rubén Loaiza-Maya

A wide spectrum of design and decision problems, including parameter tuning, A/B testing and drug design, intrinsically are instances of black-box optimization. Bayesian optimization (BO) is a powerful tool that models and optimizes such…

机器学习 · 计算机科学 2023-02-14 Tianyi Bai , Yang Li , Yu Shen , Xinyi Zhang , Wentao Zhang , Bin Cui

Developing efficient solutions for inference problems in intelligent sensor networks is crucial for the next generation of location, tracking, and mapping services. This paper develops a scalable distributed probabilistic inference…

机器学习 · 计算机科学 2023-10-24 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Design optimization under uncertainty is notoriously difficult when the objective function is expensive to evaluate. State-of-the-art techniques, e.g, stochastic optimization or sampling average approximation, fail to learn exploitable…

最优化与控制 · 数学 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal

Optimizing high-dimensional and complex black-box functions is crucial in numerous scientific applications. While Bayesian optimization (BO) is a powerful method for sample-efficient optimization, it struggles with the curse of…

机器学习 · 计算机科学 2025-07-08 Taeyoung Yun , Kiyoung Om , Jaewoo Lee , Sujin Yun , Jinkyoo Park

The recently proposed Thermodynamic Variational Objective (TVO) leverages thermodynamic integration to provide a family of variational inference objectives, which both tighten and generalize the ubiquitous Evidence Lower Bound (ELBO).…

机器学习 · 计算机科学 2020-07-02 Rob Brekelmans , Vaden Masrani , Frank Wood , Greg Ver Steeg , Aram Galstyan

Variational Inference (VI) is a method that approximates a difficult-to-compute posterior density using better behaved distributional families. VI is an alternative to the already well-studied Markov chain Monte Carlo (MCMC) method of…

统计计算 · 统计学 2022-03-25 Neil Dey , Emmett B. Kendall