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We propose a new method for automatically detecting monotonic input-output relationships from data using Gaussian Process (GP) models with virtual derivative observations. Our results on synthetic and real datasets show that the proposed…

Methodology · Statistics 2016-10-19 Eero Siivola , Juho Piironen , Aki Vehtari

Many real-world multivariate time series are collected from a network of physical objects embedded with software, electronics, and sensors. The quasi-periodic signals generated by these objects often follow a similar repetitive and periodic…

Machine Learning · Computer Science 2025-06-23 Kai Yang , Shaoyu Dou , Pan Luo , Xin Wang , H. Vincent Poor

As a powerful Bayesian non-parameterized algorithm, the Gaussian process (GP) has performed a significant role in Bayesian optimization and signal processing. GPs have also advanced online decision-making systems because their posterior…

Machine Learning · Computer Science 2022-10-27 Tianyu Liu , Jie Lu , Zheng Yan , Guangquan Zhang

Central to robot exploration and mapping is the task of persistent localization in environmental fields characterized by spatially correlated measurements. This paper presents a Gaussian process localization (GP-Localize) algorithm that, in…

Robotics · Computer Science 2014-04-23 Nuo Xu , Kian Hsiang Low , Jie Chen , Keng Kiat Lim , Etkin Baris Ozgul

Gaussian processes (GPs) are an important tool in machine learning and statistics with applications ranging from social and natural science through engineering. They constitute a powerful kernelized non-parametric method with…

Machine Learning · Statistics 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

Outlier detection of semiconductor devices is important since manufacturing variation is inherently inevitable. In order to properly detect outliers, it is necessary to consider the discrepancy from underlying trend. Conventional methods…

Systems and Control · Electrical Eng. & Systems 2022-01-26 Kyohei Shimozato , Michihiro Shintani , Takashi Sato

Missing values are common in many real-life datasets. However, most of the current machine learning methods can not handle missing values. This means that they should be imputed beforehand. Gaussian Processes (GPs) are non-parametric models…

Anomaly detection in time-series data is a critical challenge with significant implications for network security. Recent quantum machine learning approaches, such as quantum kernel methods and variational quantum circuits, have shown…

Machine Learning · Computer Science 2025-10-31 Wajdi Hammami , Soumaya Cherkaoui , Jean-Frederic Laprade , Ola Ahmad , Shengrui Wang

Gaussian processes (GPs) are typically criticised for their unfavourable scaling in both computational and memory requirements. For large datasets, sparse GPs reduce these demands by conditioning on a small set of inducing variables…

In the autonomous ocean monitoring task, the sampling robot moves in the environment and accumulates data continuously. The widely adopted spatial modeling method - standard Gaussian process (GP) regression - becomes inadequate in…

Robotics · Computer Science 2023-06-13 Weizhe Chen , Lantao Liu

Gaussian processes (GPs) provide a framework for Bayesian inference that can offer principled uncertainty estimates for a large range of problems. For example, if we consider regression problems with Gaussian likelihoods, a GP model enjoys…

Machine Learning · Computer Science 2022-12-21 Felix Leibfried , Vincent Dutordoir , ST John , Nicolas Durrande

The sparse pseudo-input Gaussian process (SPGP) is a new approximation method for speeding up GP regression in the case of a large number of data points N. The approximation is controlled by the gradient optimization of a small set of M…

Machine Learning · Computer Science 2012-07-02 Edward Snelson , Zoubin Ghahramani

Gaussian processes (GPs) are a powerful tool for probabilistic inference over functions. They have been applied to both regression and non-linear dimensionality reduction, and offer desirable properties such as uncertainty estimates,…

Machine Learning · Statistics 2014-10-01 Yarin Gal , Mark van der Wilk , Carl E. Rasmussen

Sparse identification of differential equations aims to compute the analytic expressions from the observed data explicitly. However, there exist two primary challenges. Firstly, it exhibits sensitivity to the noise in the observed data,…

Numerical Analysis · Mathematics 2024-01-23 Yuhuang Meng , Yue Qiu

Gaussian processes (GPs) offer a flexible, uncertainty-aware framework for modeling complex signals, but scale cubically with data, assume static targets, and are brittle to outliers, limiting their applicability in large-scale problems…

Machine Learning · Statistics 2025-09-23 Fernando Llorente , Daniel Waxman , Sanket Jantre , Nathan M. Urban , Susan E. Minkoff

We present techniques for effective Gaussian process (GP) modelling of multiple short time series. These problems are common when applying GP models independently to each gene in a gene expression time series data set. Such sets typically…

Machine Learning · Statistics 2012-10-10 Hande Topa , Antti Honkela

Collecting operationally realistic data to inform machine learning models can be costly. Before collecting new data, it is helpful to understand where a model is deficient. For example, object detectors trained on images of rare objects may…

Machine Learning · Statistics 2025-12-24 Anna R. Flowers , Christopher T. Franck , Robert B. Gramacy , Justin A. Krometis

A key challenge with controlling complex dynamical systems is to accurately model them. However, this requirement is very hard to satisfy in practice. Data-driven approaches such as Gaussian processes (GPs) have proved quite effective by…

Robotics · Computer Science 2022-03-08 Mouhyemen Khan , Akash Patel , Abhijit Chatterjee

We present a method for Temporal Difference (TD) learning that addresses several challenges faced by robots learning to navigate in a marine environment. For improved data efficiency, our method reduces TD updates to Gaussian Process…

Machine Learning · Computer Science 2018-10-03 John Martin , Jinkun Wang , Brendan Englot

Gaussian process (GP) regression provides a strategy for accelerating saddle point searches on high-dimensional energy surfaces by reducing the number of times the energy and its derivatives with respect to atomic coordinates need to be…

Chemical Physics · Physics 2025-12-03 Rohit Goswami , Hannes Jónsson