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A new approach for evaluating time-trends in extreme values accounting also for spatial dependence is proposed. Based on exceedances over a space-time threshold, estimators for a trend function and for extreme value parameters are given,…

Methodology · Statistics 2017-07-17 Ana Ferreira , Petra Friederichs , Laurens de Haan , Cláudia Neves , Martin Schlather

A Bayesian method of moments/instrumental variable (BMOM/IV) approach is developed and applied in the analysis of the important mean and multiple regression models. Given a single set of data, it is shown how to obtain posterior and…

bayes-an · Physics 2008-02-03 Arnold Zellner

Spatial perception is a key task in several machine intelligence applications such as robotics and computer vision. In general, it involves the nonlinear estimation of hidden variables that represent the system's state. However, in the…

Robotics · Computer Science 2024-01-08 Aamir Hussain Chughtai , Muhammad Tahir , Momin Uppal

This work studies nonparametric Bayesian estimation of the intensity function of an inhomogeneous Poisson point process in the important case where the intensity depends on covariates, based on the observation of a single realisation of the…

Statistics Theory · Mathematics 2025-05-09 Matteo Giordano , Alisa Kirichenko , Judith Rousseau

Spatial Gaussian process regression models typically contain finite dimensional covariance parameters that need to be estimated from the data. We study the Bayesian estimation of covariance parameters including the nugget parameter in a…

Statistics Theory · Mathematics 2023-02-22 Cheng Li , Saifei Sun , Yichen Zhu

Motivated by the pursuit of safe, reliable, and weather-tolerant urban air mobility (UAM) solutions, this work proposes a generative modeling approach for characterizing microweather wind velocities. Microweather, or the weather conditions…

Computational Engineering, Finance, and Science · Computer Science 2025-03-05 Tristan A. Shah , Michael C. Stanley , James E. Warner

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

Applications · Statistics 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

Machine-learning algorithms have gained popularity in recent years in the field of ecological modeling due to their promising results in predictive performance of classification problems. While the application of such algorithms has been…

Machine Learning · Statistics 2019-10-07 Patrick Schratz , Jannes Muenchow , Eugenia Iturritxa , Jakob Richter , Alexander Brenning

Statistical postprocessing is routinely applied to correct systematic errors of numerical weather prediction models (NWP) and to automatically produce calibrated local forecasts for end-users. Postprocessing is particularly relevant in…

The goal of Bayesian deep learning is to provide uncertainty quantification via the posterior distribution. However, exact inference over the weight space is computationally intractable due to the ultra-high dimensions of the neural…

Machine Learning · Computer Science 2022-10-25 Xiongwen Ke , Yanan Fan

We quantify changes DeltaQ in 100-year return values for regional annual maxima and minima of near-surface atmospheric temperature from output of five CMIP6 models, for five of the Earth's desert regions, over the interval (2025,2125). We…

Atmospheric and Oceanic Physics · Physics 2026-03-16 Callum Leach , Kevin Ewans , Philip Jonathan

Weather Forecasting is an attractive challengeable task due to its influence on human life and complexity in atmospheric motion. Supported by massive historical observed time series data, the task is suitable for data-driven approaches,…

Machine Learning · Computer Science 2022-09-20 Minbo Ma , Peng Xie , Fei Teng , Tianrui Li , Bin Wang , Shenggong Ji , Junbo Zhang

Geomagnetic storms (GSTs) driven by solar wind-magnetosphere coupling can severely disrupt technological systems, motivating the need for improved prediction accuracy and longer warning times. In this study, we develop a physics-informed…

Solar and Stellar Astrophysics · Physics 2025-12-29 Zongyuan Ge , Chenwaner Zhang , Wei Zhou , Hongyu Zeng , Guiping Zhou

We present the Bayesian Global Sky Model (B-GSM), a new absolutely calibrated model of the diffuse Galactic foreground at frequencies below 408 MHz. We assemble a dataset of publicly available diffuse emission maps at frequencies between 45…

Instrumentation and Methods for Astrophysics · Physics 2025-04-08 George Carter , Will Handley , Mark Ashdown , Nima Razavi-Ghods

Spatial statistical models are commonly used in geographical scenarios to ensure spatial variation is captured effectively. However, spatial models and cluster algorithms can be complicated and expensive. This paper pursues three main…

Accurate wind power forecasts depend on reliable wind speed forecasts. Numerical Weather Predictions (NWPs) utilize huge amounts of computing time, but still have rather low spatial and temporal resolution. However, stochastic wind speed…

Applications · Statistics 2015-09-10 Daniel Ambach , Carsten Croonenbroeck

Here we present a new method of estimating global variations in outdoor PM$_{2.5}$ concentrations using satellite images combined with ground-level measurements and deep convolutional neural networks. Specifically, new deep learning models…

Image and Video Processing · Electrical Eng. & Systems 2019-06-11 Kris Y. Hong , Pedro O. Pinheiro , Scott Weichenthal

Spatial concurrent linear models, in which the model coefficients are spatial processes varying at a local level, are flexible and useful tools for analyzing spatial data. One approach places stationary Gaussian process priors on the…

Applications · Statistics 2012-02-03 Zuofeng Shang , Murray K. Clayton

As the size of quantum devices continues to grow, the development of scalable methods to characterise and diagnose noise is becoming an increasingly important problem. Recent methods have shown how to efficiently estimate Hamiltonians in…

Quantum Physics · Physics 2019-12-18 Tim J. Evans , Robin Harper , Steven T. Flammia

Adaptive controllers on quadrotors typically rely on estimation of disturbances to ensure robust trajectory tracking. Estimating disturbances across diverse environmental contexts is challenging due to the inherent variability and…

Robotics · Computer Science 2025-09-30 Kasra Torshizi , Chak Lam Shek , Khuzema Habib , Guangyao Shi , Pratap Tokekar , Troi Williams