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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…

机器学习 · 计算机科学 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…

计算物理 · 物理学 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…

机器学习 · 统计学 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…

机器学习 · 统计学 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…

数值分析 · 数学 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…

宇宙学与河外天体物理 · 物理学 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.…

机器人学 · 计算机科学 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…

信号处理 · 电气工程与系统科学 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…

统计方法学 · 统计学 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…

宇宙学与河外天体物理 · 物理学 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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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.…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

机器学习 · 统计学 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…

数值分析 · 数学 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…

应用统计 · 统计学 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…

化学物理 · 物理学 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…

机器人学 · 计算机科学 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…

宇宙学与河外天体物理 · 物理学 2021-09-08 Guadalupe Cañas-Herrera , Omar Contigiani , Valeri Vardanyan