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We introduce WaveSim, a multi-scale similarity metric for the evaluation of spatial fields in weather and climate applications. WaveSim exploits wavelet transforms to decompose input fields into scale-specific wavelet coefficients. The…

Atmospheric and Oceanic Physics · Physics 2025-12-17 Gabriele Accarino , Viviana Acquaviva , Sara Shamekh , Duncan Watson-Parris , David Lawrence

Real-world multivariate time series can exhibit intricate multi-scale structures, including global trends, local periodicities, and non-stationary regimes, which makes long-horizon forecasting challenging. Although sparse Mixture-of-Experts…

Machine Learning · Computer Science 2026-03-16 Evandro S. Ortigossa , Guy Lutsker , Eran Segal

Ensemble model output statistics (EMOS) is a statistical tool for post-processing forecast ensembles of weather variables obtained from multiple runs of numerical weather prediction models in order to produce calibrated predictive…

Applications · Statistics 2016-03-31 Sándor Baran , Sebastian Lerch

Dimension reduction provides a useful tool for analyzing high dimensional data. The recently developed \textit{Envelope} method is a parsimonious version of the classical multivariate regression model through identifying a minimal reducing…

Methodology · Statistics 2019-03-06 Hossein Moradi Rekabdarkolaee , Qin Wang , Zahra Naji , Montserrat Fuentes

We present a probabilistic data-driven weather model capable of providing an ensemble of high spatial resolution realizations of 87 variables at arbitrary forecast length and ensemble size. The model uses a stretched grid, dedicating 2.5 km…

Variable selection is a problem of statistics that aims to find the subset of the $N$-dimensional possible explanatory variables that are truly related to the generation process of the response variable. In high-dimensional setups, where…

Statistics Theory · Mathematics 2025-02-27 Takashi Takahashi

This study aims to comprehensively investigate the deep ensemble approach, an approximate Bayesian inference, in the multi-output regression task for predicting the aerodynamic performance of a missile configuration. To this end, the effect…

Machine Learning · Computer Science 2023-11-27 Sunwoong Yang , Kwanjung Yee

For oceanographic applications, probabilistic forecasts typically have to deal with i) high-dimensional complex models, and ii) very sparse spatial observations. In search-and-rescue operations at sea, for instance, the short-term…

Applications · Statistics 2023-02-15 Florian Beiser , Håvard Heitlo Holm , Jo Eidsvik

We present a method for comparing point forecasts in a region of interest, such as the tails or centre of a variable's range. This method cannot be hedged, in contrast to conditionally selecting events to evaluate and then using a scoring…

Applications · Statistics 2022-02-16 Robert J. Taggart

This article combines wavelet analysis techniques with machine learning methods for univariate time series forecasting, focusing on three main contributions. Firstly, we consider the use of Daubechies wavelets with different numbers of…

Methodology · Statistics 2024-03-14 Guy P Nason , James L. Wei

Motivated by the EVA2025 data challenge, where we participated as the team DesiBoys, we propose a regression strategy within the framework of regular variation to estimate the occurrences and intensities of high precipitation extremes…

Methodology · Statistics 2026-02-10 Rishikesh Yadav , Arnab Hazra

Both pixel-based scale saliency (PSS) and basis project methods focus on multiscale analysis of data content and structure. Their theoretical relations and practical combination are previously discussed. However, no models have ever been…

Computer Vision and Pattern Recognition · Computer Science 2013-01-15 Anh Cat Le Ngo , Kenneth Li-Minn Ang , Jasmine Kah-Phooi Seng , Guoping Qiu

It has been documented that Spread-Error equality and a flat rank histogram are necessary but insufficient for demonstrating ensemble forecast reliability. Nevertheless, these metrics are heavily relied upon, both in the literature and at…

Atmospheric and Oceanic Physics · Physics 2026-03-30 Arlan Dirkson , Mark Buehner

This study proposes a multi-resolution Convolutional Long Short-Term Memory (ConvLSTM) ensemble framework that leverages diverse temporal input resolutions to mitigate error accumulation and improve long-horizon forecasting of…

Machine Learning · Computer Science 2026-05-25 Jihoon Kim , Heejung Youn

Machine learning-based Deepfake detection models have achieved impressive results on benchmark datasets, yet their performance often deteriorates significantly when evaluated on out-of-distribution data. In this work, we investigate an…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Haroon Wahab , Hassan Ugail , Lujain Jaleel

Modeling the mass distribution of galaxy-scale strong gravitational lenses is a task of increasing difficulty. The high-resolution and depth of imaging data now available render simple analytical forms ineffective at capturing lens…

Instrumentation and Methods for Astrophysics · Physics 2022-12-21 Aymeric Galan , Georgios Vernardos , Austin Peel , Frédéric Courbin , Jean-Luc Starck

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Combining the strengths of many existing predictors to obtain a Mixture of Experts which is superior to its individual components is an effective way to improve the performance without having to develop new architectures or train a model…

Computer Vision and Pattern Recognition · Computer Science 2024-02-02 Kemal Oksuz , Selim Kuzucu , Tom Joy , Puneet K. Dokania

Ensemble forecasting systems have advanced meteorology by providing probabilistic estimates of future states. Nonetheless, systematic biases often persist, making statistical post-processing essential. Traditional parametric post-processing…

Applications · Statistics 2026-02-17 Mária Lakatos

In this study, we explore in depth a few under-studied topics at the intersection of uncertainty estimation and segmentation. Prior work has shown that the quality of uncertainty estimates can be very sensitive to a range of variables. As…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Michael Smith , Frank P. Ferrie