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Google uses continuous streams of data from industry partners in order to deliver accurate results to users. Unexpected drops in traffic can be an indication of an underlying issue and may be an early warning that remedial action may be…

机器学习 · 统计学 2017-08-15 Dominique T. Shipmon , Jason M. Gurevitch , Paolo M. Piselli , Stephen T. Edwards

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

机器学习 · 统计学 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

Gaussian processes offer a flexible kernel method for regression. While Gaussian processes have many useful theoretical properties and have proven practically useful, they suffer from poor scaling in the number of observations. In…

机器学习 · 统计学 2021-08-26 Nick Terry , Youngjun Choe

Digital twins are developed to model the behavior of a specific physical asset (or twin), and they can consist of high-fidelity physics-based models or surrogates. A highly accurate surrogate is often preferred over multi-physics models as…

To reduce the curse of dimensionality for Gaussian processes (GP), they can be decomposed into a Gaussian Process Network (GPN) of coupled subprocesses with lower dimensionality. In some cases, intermediate observations are available within…

机器学习 · 计算机科学 2025-02-20 Saksham Kiroriwal , Julius Pfrommer , Jürgen Beyerer

The goal of anomaly detection is to identify observations that are generated by a distribution that differs from the reference distribution that qualifies normal behavior. When examining a time series, the reference distribution may evolve…

统计方法学 · 统计学 2024-07-23 Etienne Krönert , Dalila Hattab , Alain Celisse

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 统计学 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GPs) are non-parametric probabilistic regression models that are popular due to their flexibility, data efficiency, and well-calibrated uncertainty estimates. However, standard GP models assume homoskedastic Gaussian…

机器学习 · 计算机科学 2025-01-08 Sebastian Ament , Elizabeth Santorella , David Eriksson , Ben Letham , Maximilian Balandat , Eytan Bakshy

The detection of anomalies in multivariate time series data is crucial for various practical applications, including smart power grids, traffic flow forecasting, and industrial process control. However, real-world time series data is…

机器学习 · 计算机科学 2024-01-12 Yu Zheng , Huan Yee Koh , Ming Jin , Lianhua Chi , Haishuai Wang , Khoa T. Phan , Yi-Ping Phoebe Chen , Shirui Pan , Wei Xiang

While Gaussian processes (GPs) are the method of choice for regression tasks, they also come with practical difficulties, as inference cost scales cubic in time and quadratic in memory. In this paper, we introduce a natural and expressive…

机器学习 · 计算机科学 2018-09-13 Martin Trapp , Robert Peharz , Carl E. Rasmussen , Franz Pernkopf

Quantum computing may offer new approaches for advancing machine learning, including in complex tasks such as anomaly detection in network traffic. In this paper, we introduce a quantum generative adversarial network (QGAN) architecture for…

机器学习 · 计算机科学 2025-05-20 Wajdi Hammami , Soumaya Cherkaoui , Shengrui Wang

Gaussian process (GP) regression is a powerful probabilistic modeling technique with built-in uncertainty quantification. When one has access to multiple correlated simulations (tasks), it is common to fit a multitask GP (MTGP) surrogate…

统计计算 · 统计学 2026-03-18 Aleksei G. Sorokin , Pieterjan Robbe , Fred J. Hickernell

Anomaly detection in multimedia datasets is a widely studied area. Yet, the concept drift challenge in data has been ignored or poorly handled by the majority of the anomaly detection frameworks. The state-of-the-art approaches assume that…

计算机视觉与模式识别 · 计算机科学 2022-07-28 Pratibha Kumari , Priyankar Choudhary , Pradeep K. Atrey , Mukesh Saini

We introduce a new interpretation of sparse variational approximations for Gaussian processes using inducing points, which can lead to more scalable algorithms than previous methods. It is based on decomposing a Gaussian process as a sum of…

机器学习 · 统计学 2024-02-27 Jiaxin Shi , Michalis K. Titsias , Andriy Mnih

We develop an automated variational method for inference in models with Gaussian process (GP) priors and general likelihoods. The method supports multiple outputs and multiple latent functions and does not require detailed knowledge of the…

机器学习 · 统计学 2018-11-06 Edwin V. Bonilla , Karl Krauth , Amir Dezfouli

We study anomaly detection and introduce an algorithm that processes variable length, irregularly sampled sequences or sequences with missing values. Our algorithm is fully unsupervised, however, can be readily extended to supervised or…

机器学习 · 统计学 2020-05-26 Oguzhan Karaahmetoglu , Fatih Ilhan , Ismail Balaban , Suleyman Serdar Kozat

Continuous-time trajectory representations are a powerful tool that can be used to address several issues in many practical simultaneous localization and mapping (SLAM) scenarios, like continuously collected measurements distorted by robot…

机器人学 · 计算机科学 2017-05-18 Jing Dong , Byron Boots , Frank Dellaert

We introduce new Gaussian Process (GP) high-order approximations to linear operations that are frequently used in various numerical methods. Our method employs the kernel-based GP regression modeling, a non-parametric Bayesian approach to…

计算物理 · 物理学 2025-06-09 Christopher DeGrendele , Dongwook Lee

We address the sequential change-point detection problem for the Gaussian model where baseline distribution is Gaussian with variance \sigma^2 and mean \mu such that \sigma^2=a\mu, where a>0 is a known constant; the change is in \mu from…