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Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

Neural Operators (NOs) are a leading method for surrogate modeling of partial differential equations. Unlike traditional neural networks, which approximate individual functions, NOs learn the mappings between function spaces. While NOs have…

Astrophysics of Galaxies · Physics 2025-08-01 Keith Poletti , Stella S. R. Offner , Rachel A. Ward

In geostatistics, traditional spatial models often rely on the Gaussian Process (GP) to fit stationary covariances to data. It is well known that this approach becomes computationally infeasible when dealing with large data volumes,…

Computation · Statistics 2024-09-17 Antony Sikorski , Daniel McKenzie , Douglas Nychka

A non-intrusive reduced order model based on convolutional autoencoders (NIROM-CAEs) is proposed as a data-driven tool to build an efficient nonlinear reduced-order model for stochastic spatio-temporal large-scale physical problems. The…

Fluid Dynamics · Physics 2022-08-08 Azzedine Abdedou , Azzeddine Soulaïmani

We present an overview and evaluation of a new, systematic approach for generation of highly realistic, annotated synthetic data for training of deep neural networks in computer vision tasks. The main contribution is a procedural world…

Computer Vision and Pattern Recognition · Computer Science 2017-10-19 Apostolia Tsirikoglou , Joel Kronander , Magnus Wrenninge , Jonas Unger

Nested sampling (NS) is an invaluable tool in data analysis in modern astrophysics, cosmology, gravitational wave astronomy and particle physics. We identify a previously unused property of NS related to order statistics: the insertion…

Computation · Statistics 2020-08-25 Andrew Fowlie , Will Handley , Liangliang Su

Machine learning-based weather forecasting models now surpass state-of-the-art numerical weather prediction systems, but training and operating these models at high spatial resolution remains computationally expensive. We present a modular…

Machine Learning · Computer Science 2026-04-02 Aymeric Delefosse , Anastase Charantonis , Dominique Béréziat

Accurately forecasting urban development and its environmental and climate impacts critically depends on realistic models of the spatial structure of the built environment, and of its dependence on key factors such as population and…

Machine Learning · Computer Science 2019-07-24 Adrian Albert , Jasleen Kaur , Emanuele Strano , Marta Gonzalez

A system's internal dynamics and its interaction with the environment can be determined by tracking how external perturbations affect its transition rates between states. Quantitative measurements of these rates are crucial for optimizing…

Earth-observing satellite instruments obtain a massive number of observations every day. For example, tens of millions of sea surface temperature (SST) observations on a global scale are collected daily by the Moderate Resolution Imaging…

Applications · Statistics 2021-11-29 Huang Huang , Lewis R. Blake , Matthias Katzfuss , Dorit M. Hammerling

Parameter estimation with non-Gaussian stochastic fields is a common challenge in astrophysics and cosmology. In this paper, we advocate performing this task using the scattering transform, a statistical tool sharing ideas with…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-07 Sihao Cheng , Yuan-Sen Ting , Brice Ménard , Joan Bruna

Establishing appropriate mathematical models for complex systems in natural phenomena not only helps deepen our understanding of nature but can also be used for state estimation and prediction. However, the extreme complexity of natural…

Machine Learning · Computer Science 2024-03-27 Cheng Fang , Jinqiao Duan

Machine learning models have been employed to perform either physics-free data-driven or hybrid dynamical downscaling of climate data. Most of these implementations operate over relatively small downscaling factors because of the challenge…

Atmospheric and Oceanic Physics · Physics 2023-02-24 Daniel Getter , Julie Bessac , Johann Rudi , Yan Feng

Current and upcoming cosmological surveys will produce unprecedented amounts of high-dimensional data, which require complex high-fidelity forward simulations to accurately model both physical processes and systematic effects which describe…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-11 Aizhan Akhmetzhanova , Carolina Cuesta-Lazaro , Siddharth Mishra-Sharma

Fine particulate matter, PM$_{2.5}$, has been documented to have adverse health effects and wildland fires are a major contributor to PM$_{2.5}$ air pollution in the US. Forecasters use numerical models to predict PM$_{2.5}$ concentrations…

Applications · Statistics 2019-09-30 Suman Majumder , Yawen Guan , Brian J. Reich , Susan O'Neill , Ana G. Rappold

Understanding urban human mobility patterns at various spatial levels is essential for social science. This study presents a machine learning framework to downscale origin-destination (OD) taxi trips flows in New York City from a larger…

Machine Learning · Computer Science 2025-09-29 Yuqin Jiang , Andrey A. Popov , Tianle Duan , Qingchun Li

Dynamical downscaling is crucial for deriving high-resolution meteorological fields from coarse-scale simulations, enabling detailed analysis for critical applications such as weather forecasting and renewable energy modeling. Generative…

Machine Learning · Computer Science 2025-10-16 Alessandro Brusaferri , Andrea Ballarino

Sparse arrays have emerged as a popular alternative to the conventional uniform linear array (ULA) due to the enhanced degrees of freedom (DOF) and superior resolution offered by them. In the passive setting, these advantages are realized…

Signal Processing · Electrical Eng. & Systems 2023-01-05 Pulak Sarangi , Mehmet Can Hucumenoglu , Robin Rajamaki , Piya Pal

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

Machine Learning · Computer Science 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

Very-High Resolution (VHR) remote sensing imagery is increasingly accessible, but often lacks annotations for effective machine learning applications. Recent foundation models like GroundingDINO and Segment Anything (SAM) provide…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Edoardo Arnaudo , Jacopo Lungo Vaschetti , Lorenzo Innocenti , Luca Barco , Davide Lisi , Vanina Fissore , Claudio Rossi