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The decision to incorporate cross-validation into validation processes of mathematical models raises an immediate question - how should one partition the data into calibration and validation sets? We answer this question systematically: we…

Data Analysis, Statistics and Probability · Physics 2011-08-31 Rebecca Morrison , Corey Bryant , Gabriel Terejanu , Kenji Miki , Serge Prudhomme

Predicting rare extreme events such as wildfires from meteorological data requires models that remain reliable under evolving environmental conditions. This problem is inherently long-tailed: wildfire events are rare but high-impact, while…

Machine Learning · Computer Science 2026-05-13 Enyi Jiang , Wu Sun

This paper presents a novel approach in wildfire prediction through the integration of multisource spatiotemporal data, including satellite data, and the application of deep learning techniques. Specifically, we utilize an ensemble model…

Machine Learning · Computer Science 2025-01-07 Ayoub Jadouli , Chaker El Amrani

This study investigates how conditional normalizing flows can be applied to remote sensing data products in climate science for spatio-temporal prediction. The method is chosen due to its desired properties such as exact likelihood…

Machine Learning · Computer Science 2024-06-03 Christina Winkler , David Rolnick

While significant progress has been made towards explaining black-box machine-learning (ML) models, there is still a distinct lack of diagnostic tools that elucidate the spatial behaviour of ML models in terms of predictive skill and…

Machine Learning · Computer Science 2023-06-01 Alexander Brenning

The last decades have seen an unprecedented increase in the availability of data sets that are inherently global and temporally evolving, from remotely sensed networks to climate model ensembles. This paper provides a view of statistical…

Statistics Theory · Mathematics 2017-06-29 Emilio Porcu , Alfredo Alegría , Reinhard Furrer

Recursive partitioning approaches producing tree-like models are a long standing staple of predictive modeling, in the last decade mostly as ``sub-learners'' within state of the art ensemble methods like Boosting and Random Forest. However,…

Machine Learning · Statistics 2015-12-14 Amichai Painsky , Saharon Rosset

Structural estimation is an important methodology in empirical economics, and a large class of structural models are estimated through the generalized method of moments (GMM). Traditionally, selection of structural models has been performed…

Econometrics · Economics 2018-07-19 Junpei Komiyama , Hajime Shimao

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Studies investigating the causal effects of spatially varying exposures on outcomes often rely on observational and spatially indexed data. A prevalent challenge is unmeasured spatial confounding, where an unobserved spatially varying…

Methodology · Statistics 2025-11-19 Sophie M. Woodward , Mauricio Tec , Francesca Dominici

Despite ongoing theoretical research on cross-validation (CV), many theoretical questions remain widely open. This motivates our investigation into how properties of algorithm-distribution pairs can affect the choice for the number of folds…

Statistics Theory · Mathematics 2026-01-09 Ido Nachum , Rüdiger Urbanke , Thomas Weinberger

Modern, powerful techniques for the residual analysis of spatial-temporal point process models are reviewed and compared. These methods are applied to California earthquake forecast models used in the Collaboratory for the Study of…

Applications · Statistics 2012-03-01 Robert Alan Clements , Frederic Paik Schoenberg , Danijel Schorlemmer

Calibration$\unicode{x2014}$the problem of ensuring that predicted probabilities align with observed class frequencies$\unicode{x2014}$is a basic desideratum for reliable prediction with machine learning systems. Calibration error is…

Machine Learning · Statistics 2026-03-02 Eugène Berta , Sacha Braun , David Holzmüller , Francis Bach , Michael I. Jordan

It is widely believed that the prediction accuracy of decision tree models is invariant under any strictly monotone transformation of the individual predictor variables. However, this statement may be false when predicting new observations…

Machine Learning · Statistics 2016-11-16 Tal Galili , Isaac Meilijson

State estimates from weak constraint 4D-Var data assimilation can vary significantly depending on the data and model error covariances. As a result, the accuracy of these estimates heavily depends on the correct specification of both model…

Methodology · Statistics 2025-04-28 Sandra R. Babyale , Jodi Mead , Donna Calhoun , Patricia O. Azike

Conformal prediction provides rigorous distribution-free finite-sample guarantees for marginal coverage under the assumption of exchangeability, but may exhibit systematic undercoverage or overcoverage for specific subpopulations. Assessing…

Methodology · Statistics 2026-04-24 Zheng Zhou , Xiangfei Zhang , Chongguang Tao , Yuhong Yang

Modern time-domain surveys continuously monitor large swaths of the sky to look for astronomical variability. Astrophysical discovery in such data sets is complicated by the fact that detections of real transient and variable sources are…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Henrik Brink , Joseph W. Richards , Dovi Poznanski , Joshua S. Bloom , John Rice , Sahand Negahban , Martin Wainwright

Risk assessment is relevant in any workplace, however there is a degree of unpredictability when dealing with flammable or hazardous materials so that detection of fire accidents by itself may not be enough. An example of this is the…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Carmina Pérez-Guerrero , Adriana Palacios , Gilberto Ochoa-Ruiz , Christian Mata , Miguel Gonzalez-Mendoza , Luis Eduardo Falcón-Morales

In many applications, we have access to the complete dataset but are only interested in the prediction of a particular region of predictor variables. A standard approach is to find the globally best modeling method from a set of candidate…

Machine Learning · Statistics 2022-02-21 Jiawei Zhang , Jie Ding , Yuhong Yang

We present the results of a search for cataclysmic variables (CVs) in the Calan-Tololo survey. We detected a total number of 21 CVs, 12 of them are previously unknown objects. Our results suggest that the mismatch between the theoretically…

Astrophysics · Physics 2007-05-23 C. Tappert , T. Augusteijn , J. Maza