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We propose a new forecasting method for predicting load demand and generation scheduling. Accurate week-long forecasting of load demand and optimal power generation is critical for efficient operation of power grid systems. In this work, we…

Machine Learning · Computer Science 2019-10-10 Tong Ma , Renke Huang , David Barajas-Solano , Ramakrishna Tipireddy , Alexandre M. Tartakovsky

Gaussian process regression (GPR) is a useful technique to predict composition--property relationships in glasses as the method inherently provides the standard deviation of the predictions. However, the technique remains restricted to…

Computational Physics · Physics 2020-07-07 Suresh Bishnoi , R. Ravinder , Hargun Singh , Hariprasad Kodamana , N. M. Anoop Krishnan

Accurately predicting when and where ambulance call-outs occur can reduce response times and ensure the patient receives urgent care sooner. Here we present a novel method for ambulance demand prediction using Gaussian process regression…

Machine Learning · Statistics 2018-06-29 Seth Nabarro , Tristan Fletcher , John Shawe-Taylor

A key problem in the theory of meta-learning is to understand how the task distributions influence transfer risk, the expected error of a meta-learner on a new task drawn from the unknown task distribution. In this paper, focusing on fixed…

Machine Learning · Statistics 2021-06-15 Mikhail Konobeev , Ilja Kuzborskij , Csaba Szepesvári

Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR uses a square matrix of covariances among training data and…

Numerical Analysis · Mathematics 2023-09-08 Sergei Manzhos , Manabu Ihara

Direct detection of the Cosmic Dawn and Epoch of Reionization via the redshifted 21-cm line of neutral Hydrogen will have unprecedented implications for studying structure formation in the early Universe. This exciting goal is challenged by…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Florent G. Mertens , Jérôme Bobin , Isabella P. Carucci

Extreme cornering in racing often leads to large sideslip angles, presenting a significant challenge for vehicle control. Conventional vehicle controllers struggle to manage this scenario, necessitating the use of a drifting controller.…

Robotics · Computer Science 2025-06-03 Guoqiang Wu , Cheng Hu , Wangjia Weng , Zhouheng Li , Yonghao Fu , Lei Xie , Hongye Su

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

Direct quantile regression involves estimating a given quantile of a response variable as a function of input variables. We present a new framework for direct quantile regression where a Gaussian process model is learned, minimising the…

Methodology · Statistics 2012-07-03 Alexis Boukouvalas , Remi Barillec , Dan Cornford

Using a semi-parametric approach based on the fourth-order Edgeworth expansion for the unknown signal distribution, we derive an explicit expression for the likelihood detection statistic in the presence of non-normally distributed…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Lionel Martellini , Tania Regimbau

This manuscript addresses the challenge of designing functionally graded materials (FGMs) for arbitrary-shaped domains. Towards this goal, the present work proposes a generic volume fraction profile generation algorithm based on Gaussian…

Machine Learning · Computer Science 2025-11-18 Chaitanya Kumar Konda , Piyush Agrawal , Shivansh Srivastava , Manish Agrawal

We consider probabilistic multinomial probit classification using Gaussian process (GP) priors. The challenges with the multiclass GP classification are the integration over the non-Gaussian posterior distribution, and the increase of the…

Machine Learning · Statistics 2013-03-28 Jaakko Riihimäki , Pasi Jylänki , Aki Vehtari

Gaussian process regression (GPR) has been a well-known machine learning method for various applications such as uncertainty quantifications (UQ). However, GPR is inherently a data-driven method, which requires sufficiently large dataset.…

Machine Learning · Computer Science 2023-05-03 Cheng Chang , Tieyong Zeng

The generalized Ridge penalty is a powerful tool for dealing with overfitting and for high-dimensional regressions. The generalized Ridge regression can be derived as the mean of a posterior distribution with a Normal prior and a given…

Methodology · Statistics 2022-08-10 Said Obakrim , Pierre Ailliot , Valérie Monbet , Nicolas Raillard

In this work, we propose a novel methodology for robustly estimating particle size distributions from optical scattering measurements using constrained Gaussian process regression. The estimation of particle size distributions is commonly…

Machine Learning · Statistics 2025-07-08 Fahime Seyedheydari , Mahdi Nasiri , Marcin Mińkowski , Simo Särkkä

A numerical method for processing the data of ground penetrating radars for a piece-wise continuous layered medium is proposed. The method combines the layer stripping technique with numerical continuation of data into the complex…

Numerical Analysis · Mathematics 2026-03-17 Ruben Airapetyan

Gaussian process regression in its most simplified form assumes normal homoscedastic noise and utilizes analytically tractable mean and covariance functions of predictive posterior distribution using Gaussian conditioning. Its…

Applications · Statistics 2023-01-20 Pooja Algikar , Lamine Mili

The theoretical investigation of gas adsorption, storage, separation, diffusion and related transport processes in porous materials relies on a detailed knowledge of the potential energy surface of molecules in a stationary environment. In…

Chemical Physics · Physics 2025-01-30 Johannes K. Krondorfer , Christian W. Binder , Andreas W. Hauser

Underwater robots are subject to position drift due to the effect of ocean currents and the lack of accurate localisation while submerged. We are interested in exploiting such position drift to estimate the ocean current in the surrounding…

Robotics · Computer Science 2019-01-29 Ki Myung Brian Lee , Chanyeol Yoo , Ben Hollings , Stuart Anstee , Shoudong Huang , Robert Fitch

Soon, the combination of electromagnetic and gravitational signals will open the door to a new era of gravitational-wave (GW) cosmology. It will allow us to test the propagation of tensor perturbations across cosmic time and study the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Guadalupe Cañas-Herrera , Omar Contigiani , Valeri Vardanyan
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