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Gaussian processes (GPs) are widely used as surrogate models for complicated functions in scientific and engineering applications. In many cases, prior knowledge about the function to be approximated, such as monotonicity, is available and…

Machine Learning · Statistics 2025-07-10 Chao Zhang , Jasper M. Everink , Jakob Sauer Jørgensen

The LIGO-Virgo-KAGRA catalog has been analyzed with an abundance of different population models due to theoretical uncertainty in the formation of gravitational-wave sources. To expedite model exploration, we introduce an efficient and…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Matthew Mould , Noah E. Wolfe , Salvatore Vitale

The downfall of many supervised learning algorithms, such as neural networks, is the inherent need for a large amount of training data. Although there is a lot of buzz about big data, there is still the problem of doing classification from…

Machine Learning · Computer Science 2015-09-08 Armen Aghajanyan

Gaussian Processes (GPs) are highly expressive, probabilistic models. A major limitation is their computational complexity. Naively, exact GP inference requires $\mathcal{O}(N^3)$ computations with $N$ denoting the number of modeled points.…

Machine Learning · Computer Science 2022-06-23 Gordian Edenhofer , Reimar H. Leike , Philipp Frank , Torsten A. Enßlin

Computational models providing accurate estimates of their uncertainty are crucial for risk management associated with decision making in healthcare contexts. This is especially true since many state-of-the-art systems are trained using the…

Machine Learning · Computer Science 2022-06-09 Hongshu Liu , Nabeel Seedat , Julia Ive

LIGO interferometer is considered the most sensitive and complicated gravitational experimental equipment ever built. Its main objective is to detect the gravitational wave from the strongest events in the universe by observing if the…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Reymond Mesuga , Brian James Bayanay

We present a Gaussian Process - Latent Class Choice Model (GP-LCCM) to integrate a non-parametric class of probabilistic machine learning within discrete choice models (DCMs). Gaussian Processes (GPs) are kernel-based algorithms that…

Econometrics · Economics 2023-08-02 Georges Sfeir , Filipe Rodrigues , Maya Abou-Zeid

Gaussian processes are notorious for scaling cubically with the size of the training set, preventing application to very large regression problems. Computation-aware Gaussian processes (CAGPs) tackle this scaling issue by exploiting…

Machine Learning · Statistics 2025-03-24 Disha Hegde , Mohamed Adil , Jon Cockayne

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are probabilistic and non-parametric…

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…

Machine Learning · Statistics 2018-01-10 Marton Havasi , José Miguel Hernández-Lobato , Juan José Murillo-Fuentes

This paper proposes a hybrid Gaussian process (GP) approach to robust economic model predictive control under unknown future disturbances in order to reduce the conservatism of the controller. The proposed hybrid GP is a combination of two…

Systems and Control · Electrical Eng. & Systems 2020-01-08 Mohammadreza Rostam , Ryozo Nagamune , Vladimir Grebenyuk

LSST and Euclid must address the daunting challenge of analyzing the unprecedented volumes of imaging and spectroscopic data that these next-generation instruments will generate. A promising approach to overcoming this challenge involves…

Instrumentation and Methods for Astrophysics · Physics 2020-06-17 Hugh Dickinson , Lucy Fortson , Claudia Scarlata , Melanie Beck , Mike Walmsley

The adoption of crowdsourced election monitoring as a complementary alternative to traditional election monitoring is on the rise. Yet, its reliance on digital response volunteers to manually process incoming election reports poses a…

Computation and Language · Computer Science 2025-03-06 Jabez Magomere , Scott Hale

Machine learning models trained with \emph{stochastic} gradient descent (SGD) can generalize better than those trained with deterministic gradient descent (GD). In this work, we study SGD's impact on generalization through the lens of the…

Machine Learning · Computer Science 2025-12-09 Hongjian Lan , Yucong Liu , Florian Schäfer

The advancement of The Laser Interferometer Gravitational-Wave Observatory (LIGO) has significantly enhanced the feasibility and reliability of gravitational wave detection. However, LIGO's high sensitivity makes it susceptible to transient…

Computer Vision and Pattern Recognition · Computer Science 2024-04-25 Yi Li , Yunan Wu , Aggelos K. Katsaggelos

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.…

Machine Learning · Computer Science 2018-07-10 Chiwoo Park , Daniel Apley

Gaussian Processes (GPs) are Bayesian models that provide uncertainty estimates associated to the predictions made. They are also very flexible due to their non-parametric nature. Nevertheless, GPs suffer from poor scalability as the number…

Machine Learning · Computer Science 2021-07-16 Bahram Jafrasteh , Carlos Villacampa-Calvo , Daniel Hernández-Lobato

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

"Glitches" -- transient noise artifacts in the data collected by gravitational wave interferometers like LIGO and Virgo -- are an ever-present obstacle for the search and characterization of gravitational wave signals. With some having…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Jonathan Merritt , Ben Farr , Rachel Hur , Bruce Edelman , Zoheyr Doctor

Advanced LIGO and Advanced Virgo ground-based interferometers are instruments capable to detect gravitational wave signals exploiting advanced laser interferometry techniques. The underlying data analysis task consists in identifying…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Francesco Pio Barone , Daniele Dell'Aquila , Marco Russo
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