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We consider hundreds of thousands of individual economic transactions to ask: how predictable are consumers in their merchant visitation patterns? Our results suggest that, in the long-run, much of our seemingly elective activity is…

Physics and Society · Physics 2013-05-07 Coco Krumme , Alejandro Llorente , Manuel Cebrián , Alex , Pentland , Esteban Moro

The statistical modeling of space-time extremes in environmental applications is key to understanding complex dependence structures in original event data and to generating realistic scenarios for impact models. In this context of…

Methodology · Statistics 2019-05-16 Jean-Noel Bacro , Carlo Gaetan , Thomas Opitz , Gwladys Toulemonde

This study delves into the predictability of atmospheric blocking, zonal, and transition patterns utilizing a simplified coupled model. Initially, we comprehensively scrutinize the model's responses to environmental parameters like solar…

Atmospheric and Oceanic Physics · Physics 2023-10-09 Anupama K Xavier , Jonathan Demaeyer , Stéphane Vannitsem

This paper proposes using two metrics to quantify the forecastability of time series prior to model development: the spectral predictability score and the largest Lyapunov exponent. Unlike traditional model evaluation metrics, these…

Machine Learning · Computer Science 2025-07-21 Rui Wang , Steven Klee , Alexis Roos

We study the limit behaviour of upper and lower bounds on expected time averages in imprecise Markov chains; a generalised type of Markov chain where the local dynamics, traditionally characterised by transition probabilities, are now…

Probability · Mathematics 2020-03-27 Natan T'Joens , Jasper De Bock

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- direct cascading or fragmentation, spatial dynamics, and external driving -- are combined in a classical age-dependent…

Adaptation and Self-Organizing Systems · Physics 2007-08-14 Andrei Gabrielov , Vladimir Keilis-Borok , Ilya Zaliapin

The extreme value dependence of regularly varying stationary time series can be described by the spectral tail process. Drees, Segers and Warchol [Extremes 18(3): 369--402, 2015] proposed estimators of the marginal distributions of this…

Statistics Theory · Mathematics 2019-07-23 Holger Drees , Miran Knezevic

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy

Parametric inference for spatial max-stable processes is difficult since the related likelihoods are unavailable. A composite likelihood approach based on the bivariate distribution of block maxima has been recently proposed in the…

Applications · Statistics 2012-05-08 Jean-Noel Bacro , Carlo Gaetan

We propose a new model and estimation framework for spatiotemporal streamflow exceedances above a threshold that flexibly captures asymptotic dependence and independence in the tail of the distribution. We model streamflow using a mixture…

Methodology · Statistics 2026-02-19 Ryan Li , Emily C. Hector , Brian J. Reich , Reetam Majumder

An exceedance region is the set of locations in a spatial domain where a process exceeds some threshold. Examples of exceedance regions include areas where ozone concentrations exceed safety standards, there is high risk for tornadoes or…

Applications · Statistics 2013-12-02 Joshua P. French , Stephan R. Sain

In many applied fields, the prediction of more severe events than those already recorded is crucial for safeguarding against potential future calamities. What-if analyses, which evaluate hypothetical scenarios up to the worst-case event,…

Methodology · Statistics 2025-04-08 Simone A. Padoan , Stefano Rizzelli

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

Machine Learning · Computer Science 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam

A new general procedure for a priori selection of more predictable events from a time series of observed variable is proposed. The procedure is applicable to time series which contains different types of events that feature significantly…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Igor B. Konovalov

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

Methodology · Statistics 2022-01-19 Geoffrey S Johnson

With the emergence of time-critical applications in modern communication networks, there is a growing demand for proactive network adaptation and quality of service (QoS) prediction. However, a fundamental question remains largely…

Networking and Internet Architecture · Computer Science 2025-04-28 Samie Mostafavi , Simon Egger , György Dán , James Gross

The degree of predictability of large avalanche events in the directed sandpile model is studied. A waiting time based prediction strategy which exploits the local anticorrelation of large events is discussed. With this strategy we show…

Statistical Mechanics · Physics 2025-08-05 Dhruv Shah

A central problem in uncertainty quantification is how to characterize the impact that our incomplete knowledge about models has on the predictions we make from them. This question naturally lends itself to a probabilistic formulation, by…

Statistical Mechanics · Physics 2018-09-03 Giovanni Dematteis , Tobias Grafke , Eric Vanden-Eijnden

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

We study the limit behaviour of upper and lower bounds on expected time averages in imprecise Markov chains; a generalised type of Markov chain where the local dynamics, traditionally characterised by transition probabilities, are now…

Probability · Mathematics 2021-02-10 Natan T'Joens , Jasper De Bock