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Many problems in the geophysical sciences demand the ability to calibrate the parameters and predict the time evolution of complex dynamical models using sequentially-collected data. Here we introduce a general methodology for the joint…

统计计算 · 统计学 2018-12-12 Sara Pérez-Vieites , Inés P. Mariño , Joaquín Míguez

We present an integrated approach for structure and parameter estimation in latent tree graphical models. Our overall approach follows a "divide-and-conquer" strategy that learns models over small groups of variables and iteratively merges…

机器学习 · 计算机科学 2019-12-19 Furong Huang , Niranjan U. N. , Ioakeim Perros , Robert Chen , Jimeng Sun , Anima Anandkumar

We design a Gaussian Process (GP) spatiotemporal model to capture features of day-ahead wind power forecasts. We work with hourly-scale day-ahead forecasts across hundreds of wind farm locations, with the main aim of constructing a fully…

机器学习 · 计算机科学 2024-09-26 Qiqi Li , Mike Ludkovski

Accurate wind pattern modelling is crucial for various applications, including renewable energy, agriculture, and climate adaptation. In this paper, we introduce the wrapped Gaussian spatial process (WGSP), as well as the projected Gaussian…

应用统计 · 统计学 2023-11-13 Jacobus S. Blom , Priyanka Nagar , Andriette Bekker

With an ever-increasing number of sensors in modern society, spatio-temporal time series forecasting has become a de facto tool to make informed decisions about the future. Most spatio-temporal forecasting models typically comprise distinct…

机器学习 · 计算机科学 2023-03-24 Lars Ødegaard Bentsen , Narada Dilp Warakagoda , Roy Stenbro , Paal Engelstad

With the increasing amount of available data from simulations and experiments, research for the development of data-driven models for wind-farm power prediction has increased significantly. While the data-driven models can successfully…

流体动力学 · 物理学 2023-04-06 Navid Zehtabiyan-Rezaie , Alexandros Iosifidis , Mahdi Abkar

The generalized extreme value (GEV) distribution is a popular model for analyzing and forecasting extreme weather data. To increase prediction accuracy, spatial information is often pooled via a latent Gaussian process (GP) on the GEV…

统计方法学 · 统计学 2024-05-20 Meixi Chen , Reza Ramezan , Martin Lysy

The safe and stable operation of power systems is greatly challenged by the high variability and randomness of wind power in large-scale wind-power-integrated grids. Wind power forecasting is an effective solution to tackle this issue, with…

机器学习 · 计算机科学 2023-05-23 Hao Liu , Huimin Ma , Tianyu Hu

The existence of latent variables in practical problems is common, for example when some variables are difficult or expensive to measure, or simply unknown. When latent variables are unaccounted for, structure learning for Gaussian…

统计方法学 · 统计学 2025-02-06 Ignacio Echave-Sustaeta Rodríguez , Frank Röttger

Accurate short-term solar and wind power predictions play an important role in the planning and operation of power systems. However, the short-term power prediction of renewable energy has always been considered a complex regression…

系统与控制 · 电气工程与系统科学 2022-02-08 Wenlong Liao , Birgitte Bak-Jensen , Jayakrishnan Radhakrishna Pillai , Zhe Yang , Kuangpu Liu

This work has been motivated by the challenge of the 2017 conference on Extreme-Value Analysis (EVA2017), with the goal of predicting daily precipitation quantiles at the $99.8\%$ level for each month at observed and unobserved locations.…

统计方法学 · 统计学 2018-02-06 Thomas Opitz , Raphaël Huser , Haakon Bakka , Håvard Rue

Generative modeling of spatio-temporal fields is crucial for a variety of applications, including stochastic weather generators and climate-model surrogates. However, many such fields exhibit complex dependence structures that vary across…

统计方法学 · 统计学 2026-05-06 Carrie J. Lei-Cramer , Jian Cao , Matthias Katzfuss

In extreme value statistics, the peaks-over-threshold method is widely used. The method is based on the generalized Pareto distribution characterizing probabilities of exceedances over high thresholds in $\mathbb {R}^d$. We present a…

概率论 · 数学 2014-10-17 Ana Ferreira , Laurens de Haan

Statistical modelling of spatial extreme events has gained increasing attention over the last few decades with max-stable processes, and more recently $r$-Pareto processes, becoming the reference tools for the statistical analysis of…

统计方法学 · 统计学 2025-06-02 Peng Zhong , Scott A. Sisson , Boris Beranger

We present a physics-informed Gaussian Process Regression (GPR) model to predict the phase angle, angular speed, and wind mechanical power from a limited number of measurements. In the traditional data-driven GPR method, the form of the…

信号处理 · 电气工程与系统科学 2018-06-29 Ramakrishna Tipireddy , Alexandre Tartakovsky

We present the Mixed Likelihood Gaussian process latent variable model (GP-LVM), capable of modeling data with attributes of different types. The standard formulation of GP-LVM assumes that each observation is drawn from a Gaussian…

机器学习 · 计算机科学 2018-11-20 Samuel Murray , Hedvig Kjellström

As an important clean and renewable kind of energy, wind power plays an important role in coping with energy crisis and environmental pollution. However, the volatility and intermittency of wind speed restrict the development of wind power.…

机器学习 · 计算机科学 2024-04-23 Haojian Huang

In this chapter, we show how to efficiently model high-dimensional extreme peaks-over-threshold events over space in complex non-stationary settings, using extended latent Gaussian Models (LGMs), and how to exploit the fitted model in…

统计方法学 · 统计学 2021-10-07 Arnab Hazra , Raphaël Huser , Árni V. Jóhannesson

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

统计方法学 · 统计学 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

机器学习 · 计算机科学 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki