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Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

机器学习 · 统计学 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

Large-scale Gaussian process inference has long faced practical challenges due to time and space complexity that is superlinear in dataset size. While sparse variational Gaussian process models are capable of learning from large-scale data,…

机器学习 · 统计学 2018-01-23 Ching-An Cheng , Byron Boots

Optimizing high-dimensional black-box functions under black-box constraints is a pervasive task in a wide range of scientific and engineering problems. These problems are typically harder than unconstrained problems due to hard-to-find…

机器学习 · 计算机科学 2026-05-08 Kiyoung Om , Kyuil Sim , Taeyoung Yun , Hyeongyu Kang , Jinkyoo Park

Sparse deep learning aims to address the challenge of huge storage consumption by deep neural networks, and to recover the sparse structure of target functions. Although tremendous empirical successes have been achieved, most sparse deep…

机器学习 · 统计学 2020-11-17 Jincheng Bai , Qifan Song , Guang Cheng

In discrete-variable black-box optimization, the number of candidate solutions grows combinatorially, while each evaluation is often expensive. Therefore, it is important to identify promising solutions efficiently within a limited number…

量子物理 · 物理学 2026-05-12 Reo Shikanai , Masayuki Ohzeki

Bayesian analyses combine information represented by different terms in a joint Bayesian model. When one or more of the terms is misspecified, it can be helpful to restrict the use of information from suspect model components to modify…

统计方法学 · 统计学 2022-06-27 Xuejun Yu , David J. Nott , Michael Stanley Smith

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

机器学习 · 计算机科学 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

Despite the dominant role of deep models in machine learning, limitations persist, including overconfident predictions, susceptibility to adversarial attacks, and underestimation of variability in predictions. The Bayesian paradigm provides…

机器学习 · 统计学 2025-06-18 Alisa Sheinkman , Sara Wade

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

Causal inference and the estimation of causal effects plays a central role in decision-making across many areas, including healthcare and economics. Estimating causal effects typically requires an estimator that is tailored to each problem…

Black-box variational inference is widely used in situations where there is no proof that its stochastic optimization succeeds. We suggest this is due to a theoretical gap in existing stochastic optimization proofs: namely the challenge of…

机器学习 · 计算机科学 2023-12-25 Justin Domke , Guillaume Garrigos , Robert Gower

Medical time series datasets feature missing values that need data imputation methods, however, conventional machine learning models fall short due to a lack of uncertainty quantification in predictions. Among these models, the CATSI…

机器学习 · 计算机科学 2024-10-07 Omkar Kulkarni , Rohitash Chandra

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

机器学习 · 统计学 2025-12-22 Yuli Slavutsky , David M. Blei

Optimization problems with uncertain black-box constraints, modeled by warped Gaussian processes, have recently been considered in the Bayesian optimization setting. This work introduces a new class of constraints in which the same…

最优化与控制 · 数学 2020-06-16 Johannes Wiebe , Inês Cecílio , Jonathan Dunlop , Ruth Misener

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

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

Many popular statistical models for complex phenomena are intractable, in the sense that the likelihood function cannot easily be evaluated. Bayesian estimation in this setting remains challenging, with a lack of computational methodology…

统计计算 · 统计学 2015-03-31 Nial Friel , Antonietta Mira , Chris. J. Oates

Coreset, which is a summary of the original dataset in the form of a small weighted set in the same sample space, provides a promising approach to enable machine learning over distributed data. Although viewed as a proxy of the original…

机器学习 · 计算机科学 2020-06-24 Hanlin Lu , Ming-Ju Li , Ting He , Shiqiang Wang , Vijaykrishnan Narayanan , Kevin S Chan

Many real-world optimisation problems are defined over both categorical and continuous variables, yet efficient optimisation methods such asBayesian Optimisation (BO) are not designed tohandle such mixed-variable search spaces. Recent…

机器学习 · 统计学 2022-02-18 Yan Zuo , Amir Dezfouli , Iadine Chades , David Alexander , Benjamin Ward Muir

Generative models are capable of producing human-expert level content across a variety of topics and domains. As the impact of generative models grows, it is necessary to develop statistical methods to understand collections of available…

机器学习 · 计算机科学 2025-05-23 Hayden Helm , Aranyak Acharyya , Brandon Duderstadt , Youngser Park , Carey E. Priebe