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Variational inference is computationally challenging in models that contain both conjugate and non-conjugate terms. Methods specifically designed for conjugate models, even though computationally efficient, find it difficult to deal with…

机器学习 · 计算机科学 2017-04-14 Mohammad Emtiyaz Khan , Wu Lin

Stochastic variational inference (SVI) plays a key role in Bayesian deep learning. Recently various divergences have been proposed to design the surrogate loss for variational inference. We present a simple upper bound of the evidence as…

机器学习 · 计算机科学 2019-12-03 Chunlin Ji , Haige Shen

Variational Bayesian inference is an important machine-learning tool that finds application from statistics to robotics. The goal is to find an approximate probability density function (PDF) from a chosen family that is in some sense…

机器学习 · 计算机科学 2022-09-27 Timothy D. Barfoot , Gabriele M. T. D'Eleuterio

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

机器学习 · 计算机科学 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

Stochastic variational inference (SVI) lets us scale up Bayesian computation to massive data. It uses stochastic optimization to fit a variational distribution, following easy-to-compute noisy natural gradients. As with most traditional…

机器学习 · 统计学 2014-11-19 Stephan Mandt , David Blei

Continual learning in neural networks aims to learn new tasks without forgetting old tasks. Sequential function-space variational inference (SFSVI) uses a Gaussian variational distribution to approximate the distribution of the outputs of…

机器学习 · 计算机科学 2025-05-28 Menghao Waiyan William Zhu , Pengcheng Hao , Ercan Engin Kuruoğlu

Current variational inference methods for hierarchical Bayesian nonparametric models can neither characterize the correlation structure among latent variables due to the mean-field setting, nor infer the true posterior dimension because of…

机器学习 · 统计学 2022-04-07 Yirui Liu , Xinghao Qiao , Jessica Lam

Meta-learning is a framework in which machine learning models train over a set of datasets in order to produce predictions on new datasets at test time. Probabilistic meta-learning has received an abundance of attention from the research…

机器学习 · 统计学 2023-09-07 Tommy Rochussen

Amortized inference allows latent-variable models trained via variational learning to scale to large datasets. The quality of approximate inference is determined by two factors: a) the capacity of the variational distribution to match the…

机器学习 · 计算机科学 2018-05-29 Chris Cremer , Xuechen Li , David Duvenaud

Stochastic variational inference allows for fast posterior inference in complex Bayesian models. However, the algorithm is prone to local optima which can make the quality of the posterior approximation sensitive to the choice of…

机器学习 · 统计学 2015-05-29 Lucas Theis , Matthew D. Hoffman

In order to increase the effectiveness of model training, data reduction is essential to data-centric Artificial Intelligence (AI). It achieves this by locating the most instructive examples in massive datasets. To increase data quality and…

机器学习 · 计算机科学 2025-08-11 Fei Chen , Wenchi Zhou

While statistics focusses on hypothesis testing and on estimating (properties of) the true sampling distribution, in machine learning the performance of learning algorithms on future data is the primary issue. In this paper we bridge the…

机器学习 · 计算机科学 2009-12-30 Marcus Hutter

Models with a large number of latent variables are often used to fully utilize the information in big or complex data. However, they can be difficult to estimate using standard approaches, and variational inference methods are a popular…

统计方法学 · 统计学 2021-04-20 Rubén Loaiza-Maya , Michael Stanley Smith , David J. Nott , Peter J. Danaher

Stochastic variational inference is an established way to carry out approximate Bayesian inference for deep models. While there have been effective proposals for good initializations for loss minimization in deep learning, far less…

机器学习 · 统计学 2019-01-28 Simone Rossi , Pietro Michiardi , Maurizio Filippone

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…

机器学习 · 计算机科学 2022-11-22 Alexander K. Lew , Marco Cusumano-Towner , Vikash K. Mansinghka

Estimating a distribution given access to its unnormalized density is pivotal in Bayesian inference, where the posterior is generally known only up to an unknown normalizing constant. Variational inference and Markov chain Monte Carlo…

机器学习 · 统计学 2025-05-06 Daniel Ward , Mark Beaumont , Matteo Fasiolo

We develop EigenVI, an eigenvalue-based approach for black-box variational inference (BBVI). EigenVI constructs its variational approximations from orthogonal function expansions. For distributions over $\mathbb{R}^D$, the lowest order term…

Variational inference (VI) provides a principled framework for estimating posterior distributions over model parameters, enabling explicit modeling of weight uncertainty during optimization. By capturing this uncertainty, VI improves the…

音频与语音处理 · 电气工程与系统科学 2026-01-21 Haolin Chen

We propose denoising diffusion variational inference (DDVI), a black-box variational inference algorithm for latent variable models which relies on diffusion models as flexible approximate posteriors. Specifically, our method introduces an…

机器学习 · 计算机科学 2026-03-16 Wasu Top Piriyakulkij , Yingheng Wang , Volodymyr Kuleshov

The motivations for using variational inference (VI) in neural networks differ significantly from those in latent variable models. This has a counter-intuitive consequence; more expressive variational approximations can provide…

机器学习 · 统计学 2018-01-22 Brian Trippe , Richard Turner