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相关论文: Online Anomaly Detection with Sparse Gaussian Proc…

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With a principled representation of uncertainty and closed form posterior updates, Gaussian processes (GPs) are a natural choice for online decision making. However, Gaussian processes typically require at least $\mathcal{O}(n^2)$…

机器学习 · 计算机科学 2021-10-29 Wesley J. Maddox , Samuel Stanton , Andrew Gordon Wilson

Online statistical inference facilitates real-time analysis of sequentially collected data, making it different from traditional methods that rely on static datasets. This paper introduces a novel approach to online inference in…

机器学习 · 统计学 2025-02-27 Ruijian Han , Lan Luo , Yuanhang Luo , Yuanyuan Lin , Jian Huang

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

In this work, we propose GLUE (Graph Deviation Network with Local Uncertainty Estimation), building on the recently proposed Graph Deviation Network (GDN). GLUE not only automatically learns complex dependencies between variables and uses…

机器学习 · 计算机科学 2021-12-08 Saswati Ray , Sana Lakdawala , Mononito Goswami , Chufan Gao

Multi-robot systems require scalable and federated methods to model complex environments under computational and communication constraints. Gaussian Processes (GPs) offer robust probabilistic modeling, but suffer from cubic computational…

多智能体系统 · 计算机科学 2026-02-13 Sanket A. Salunkhe , George P. Kontoudis

We propose a contrast-based estimation method for Gaussian processes with time-inhomogeneous drifts, observed under high-frequency sampling. The process is modeled as the sum of a deterministic drift function and a stationary Gaussian…

统计理论 · 数学 2025-10-07 Yasutaka Shimizu

Inference in Gaussian process (GP) models is computationally challenging for large data, and often difficult to approximate with a small number of inducing points. We explore an alternative approximation that employs stochastic inference…

机器学习 · 统计学 2019-05-28 Jiaxin Shi , Mohammad Emtiyaz Khan , Jun Zhu

Gaussian processes (GPs) provide a probabilistic nonparametric representation of functions in regression, classification, and other problems. Unfortunately, exact learning with GPs is intractable for large datasets. A variety of approximate…

机器学习 · 计算机科学 2010-02-23 Yuan Qi , Ahmed H. Abdel-Gawad , Thomas P. Minka

Gaussian processes (GPs) are a popular class of Bayesian nonparametric models, but its training can be computationally burdensome for massive training datasets. While there has been notable work on scaling up these models for big data,…

统计方法学 · 统计学 2023-11-16 Kevin Li , Simon Mak

Gaussian process (GP) audio source separation is a time-domain approach that circumvents the inherent phase approximation issue of spectrogram based methods. Furthermore, through its kernel, GPs elegantly incorporate prior knowledge about…

音频与语音处理 · 电气工程与系统科学 2018-11-22 Pablo A. Alvarado , Mauricio A. Álvarez , Dan Stowell

An important issue in quadcopter control is that an accurate dynamic model of the system is nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based estimation is an…

系统与控制 · 电气工程与系统科学 2021-12-23 Yuhan Liu , Roland Tóth

Nowadays, as AI-driven manufacturing becomes increasingly popular, the volume of data streams requiring real-time monitoring continues to grow. However, due to limited resources, it is impractical to place sensors at every location to…

人工智能 · 计算机科学 2025-07-15 Xiaofeng Xiao , Bo Shen , Xubo Yue

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

机器学习 · 计算机科学 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

Contemporary applications, such as recommendation systems and mobile health monitoring, require real-time processing and analysis of sequentially arriving high-dimensional tensor data. Traditional offline learning, involving the storage and…

机器学习 · 统计学 2026-02-16 Xin Wen , Will Wei Sun , Yichen Zhang

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

While the great capability of Transformers significantly boosts prediction accuracy, it could also yield overconfident predictions and require calibrated uncertainty estimation, which can be commonly tackled by Gaussian processes (GPs).…

机器学习 · 计算机科学 2024-05-29 Yingyi Chen , Qinghua Tao , Francesco Tonin , Johan A. K. Suykens

As a non-parametric Bayesian model which produces informative predictive distribution, Gaussian process (GP) has been widely used in various fields, like regression, classification and optimization. The cubic complexity of standard GP…

机器学习 · 统计学 2018-11-06 Haitao Liu , Jianfei Cai , Yew-Soon Ong , Yi Wang

Kolmogorov-Arnold Networks have emerged as interpretable alternatives to traditional multi-layer perceptrons. However, standard implementations lack principled uncertainty quantification capabilities essential for many scientific…

机器学习 · 计算机科学 2025-12-10 Y. Sungtaek Ju

Nowadays, the volume of network traffic continues to grow, along with the frequency and sophistication of attacks. This scenario highlights the need for solutions capable of continuously adapting, since network behavior is dynamic and…

Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…