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Scientific and engineering problems often require the use of artificial intelligence to aid understanding and the search for promising designs. While Gaussian processes (GP) stand out as easy-to-use and interpretable learners, they have…

机器学习 · 计算机科学 2021-07-01 Liwei Wang , Suraj Yerramilli , Akshay Iyer , Daniel Apley , Ping Zhu , Wei Chen

This tutorial aims to provide an intuitive introduction to Gaussian process regression (GPR). GPR models have been widely used in machine learning applications due to their representation flexibility and inherent capability to quantify…

机器学习 · 统计学 2024-01-30 Jie Wang

This paper investigates gradient-based adaptive prediction and control for nonlinear stochastic dynamical systems under a weak convexity condition on the prediction-based loss. This condition accommodates a broad range of nonlinear models…

系统与控制 · 电气工程与系统科学 2026-02-13 Yujing Liu , Xin Zheng , Zhixin Liu , Lei Guo

We consider straggler-resilient learning. In many previous works, e.g., in the coded computing literature, straggling is modeled as random delays that are independent and identically distributed between workers. However, in many practical…

分布式、并行与集群计算 · 计算机科学 2021-11-30 Albin Severinson , Eirik Rosnes , Salim El Rouayheb , Alexandre Graell i Amat

This paper presents an accelerated composite gradient (ACG) variant, referred to as the AC-ACG method, for solving nonconvex smooth composite minimization problems. As opposed to well-known ACG variants that are either based on a known…

最优化与控制 · 数学 2020-10-30 Jiaming Liang , Renato D. C. Monteiro

Gaussian process is a very promising novel technology that has been applied to both the regression problem and the classification problem. While for the regression problem it yields simple exact solutions, this is not the case for the…

机器学习 · 统计学 2013-10-18 Amir F. Atiya , Hatem A. Fayed , Ahmed H. Abdel-Gawad

Estimating causal effects in quasi-experiments with spatio-temporal panel data often requires adjusting for unmeasured confounding that varies across space and time. Gaussian Processes (GPs) offer a flexible, nonparametric modeling approach…

统计方法学 · 统计学 2025-07-08 Sofia L. Vega , Rachel C. Nethery

A clustered adaptive intervention (cAI) is a pre-specified sequence of decision rules that guides practitioners on how best - and based on which measures - to tailor cluster-level intervention to improve outcomes at the level of individuals…

统计方法学 · 统计学 2025-05-05 Yao Song , Kelly Speth , Amy Kilbourne , Andrew Quanbeck , Daniel Almirall , Lu Wang

Understanding and predicting environmental phenomena often requires the construction of spatio-temporal statistical models, which are typically Gaussian processes. A common assumption made on Gaussian processes is that of covariance…

统计方法学 · 统计学 2023-03-17 Quan Vu , Andrew Zammit-Mangion , Stephen J. Chuter

This paper presents a new approach for Gaussian process (GP) regression for large datasets. The approach involves partitioning the regression input domain into multiple local regions with a different local GP model fitted in each region.…

机器学习 · 计算机科学 2018-07-10 Chiwoo Park , Daniel Apley

Despite a large corpus of recent work on scaling up Gaussian processes, a stubborn trade-off between computational speed, prediction and uncertainty quantification accuracy, and customizability persists. This is because the vast majority of…

机器学习 · 计算机科学 2025-12-09 Marcus M. Noack , Mark D. Risser , Hengrui Luo , Vardaan Tekriwal , Ronald J. Pandolfi

Recent efforts in using 3D Gaussians for scene reconstruction and novel view synthesis can achieve impressive results on curated benchmarks; however, images captured in real life are often blurry. In this work, we analyze the robustness of…

计算机视觉与模式识别 · 计算机科学 2024-03-26 Cheng Peng , Yutao Tang , Yifan Zhou , Nengyu Wang , Xijun Liu , Deming Li , Rama Chellappa

Gaussian processes are arguably the most important class of spatiotemporal models within machine learning. They encode prior information about the modeled function and can be used for exact or approximate Bayesian learning. In many…

统计方法学 · 统计学 2024-09-16 Iskander Azangulov , Andrei Smolensky , Alexander Terenin , Viacheslav Borovitskiy

Gaussian processes allow for flexible specification of prior assumptions of unknown dynamics in state space models. We present a procedure for efficient Bayesian learning in Gaussian process state space models, where the representation is…

统计计算 · 统计学 2016-04-18 Andreas Svensson , Arno Solin , Simo Särkkä , Thomas B. Schön

Causal discovery is a crucial initial step in establishing causality from empirical data and background knowledge. Numerous algorithms have been developed for this purpose. Among them, the score-matching method has demonstrated superior…

机器学习 · 统计学 2026-04-14 Hao Chen , Kai Yi

Active learning methods for emulating complex computer models that rely on stationary Gaussian processes tend to produce design points that uniformly fill the entire experimental region, which can be wasteful for functions which vary only…

统计方法学 · 统计学 2025-07-16 Shangkun Wang , V. Roshan Joseph

Gaussian processes are arguably the most important class of spatiotemporal models within machine learning. They encode prior information about the modeled function and can be used for exact or approximate Bayesian learning. In many…

统计方法学 · 统计学 2026-03-02 Iskander Azangulov , Andrei Smolensky , Alexander Terenin , Viacheslav Borovitskiy

Developing machine learning enabled smart manufacturing is promising for composite structures assembly process. To improve production quality and efficiency of the assembly process, accurate predictive analysis on dimensional deviations and…

机器学习 · 统计学 2020-11-24 Cheolhei Lee , Jianguo Wu , Wenjia Wang , Xiaowei Yue

Due to its powerful capability of self-supervised representation learning and clustering, contrastive attributed graph clustering (CAGC) has achieved great success, which mainly depends on effective data augmentation and contrastive…

机器学习 · 计算机科学 2025-10-06 Tianxiang Zhao , Youqing Wang , Jinlu Wang , Jiapu Wang , Mingliang Cui , Junbin Gao , Jipeng Guo

Bayesian learning using Gaussian processes provides a foundational framework for making decisions in a manner that balances what is known with what could be learned by gathering data. In this dissertation, we develop techniques for…

机器学习 · 统计学 2022-04-29 Alexander Terenin