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Organisms and ecological groups accumulate evidence to make decisions. Classic experiments and theoretical studies have explored this process when the correct choice is fixed during each trial. However, we live in a constantly changing…

Neurons and Cognition · Quantitative Biology 2015-10-01 Alan Veliz-Cuba , Zachary P. Kilpatrick , Kresimir Josic

In this work we study a simple mathematical model to analyze the emergence and control of radicalization phenomena. The population consisits of core and sensitive subpopulations, and their ways of life may be at least partially…

Physics and Society · Physics 2023-09-07 Nuno Crokidakis

Survival analysis, or time-to-event modelling, is a classical statistical problem that has garnered a lot of interest for its practical use in epidemiology, demographics or actuarial sciences. Recent advances on the subject from the point…

Machine Learning · Computer Science 2021-07-28 Guillaume Ausset , Tom Ciffreo , Francois Portier , Stephan Clémençon , Timothée Papin

With the increasing impact of algorithmic decision-making on human lives, the interpretability of models has become a critical issue in machine learning. Counterfactual explanation is an important method in the field of interpretable…

Machine Learning · Computer Science 2024-07-17 Ao Xu , Tieru Wu

Power system robustness against high impact low probability events is becoming a major concern. To depict distinct phases of a system response during these disturbances, an irregular polygon model is derived from the conventional trapezoid…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Giritharan Vijay Iswaran , Ramin Vakili , Mojdeh Khorsand

Many systems occurring in real-world applications, such as controlling the motions of robots or modeling the spread of diseases, are switched impulsive systems. To ensure that the system state stays in a safe region (e.g., to avoid…

Optimization and Control · Mathematics 2024-09-10 Katharina Bieker , Hugo Tadashi Kussaba , Philipp Scholl , Jaesug Jung , Abdalla Swikir , Sami Haddadin , Gitta Kutyniok

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

Extreme values of real phenomena are events that occur with low frequency, but can have a large impact on real life. These are, in many practical problems, high-dimensional by nature (e.g. Tawn, 1990; Coles and Tawn, 1991). To study these…

Methodology · Statistics 2015-08-25 Boris Beranger , Simone A. Padoan

We present here two promising techniques for the application of the complex network approach to continuous spatio-temporal systems that have been developed in the last decade and show large potential for future application and development…

Data Analysis, Statistics and Probability · Physics 2015-07-19 Norbert Marwan , Jürgen Kurths

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

Social and Information Networks · Computer Science 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Advances in information technology have increased the availability of time-stamped relational data such as those produced by email exchanges or interaction through social media. Whereas the associated information flows could be aggregated…

Applications · Statistics 2023-07-03 Federica Bianchi , Edoardo Filippi-Mazzola , Alessandro Lomi , Ernst C. Wit

Containing the spreading of crime is a major challenge for society. Yet, since thousands of years, no effective strategy has been found to overcome crime. To the contrary, empirical evidence shows that crime is recurrent, a fact that is not…

Physics and Society · Physics 2013-09-02 Matjaz Perc , Karsten Donnay , Dirk Helbing

To investigate an effect of social interaction on the bystanders' intervention in emergency situations we introduce a rescue model which includes the effects of the victim's acquaintance with bystanders and those among bystanders. This…

Physics and Society · Physics 2007-05-23 Hang-Hyun Jo , Woo-Sung Jung , Hie-Tae Moon

Active matter represents a broad class of systems that evolve far from equilibrium due to the local injection of energy. Like their passive analogues, transformations between distinct metastable states in active matter proceed through rare…

Statistical Mechanics · Physics 2022-01-17 Avishek Das , Benjamin Kuznets-Speck , David T. Limmer

Shifting ecosystem disturbance patterns due to climate change (e.g. storms, droughts, wildfires) or direct human interference (e.g. harvests, nutrient loading) highlight the importance of quantifying and strengthening the resilience of…

Populations and Evolution · Quantitative Biology 2018-03-22 Katherine Meyer , Alanna Hoyer-Leitzel , Sarah Iams , Ian Klasky , Victoria Lee , Stephen Ligtenberg , Erika Bussmann , Mary Lou Zeeman

Several key metrics in public health convey the probability that a primary event will lead to a more serious secondary event in the future. These "severity rates" can change over the course of an epidemic in response to shifting conditions…

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

Machine Learning · Statistics 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

Extreme events are by nature rare and difficult to predict, yet are often much more important than frequent, typical events. An interesting counterpoint to the prediction of such events is their retrodiction -- given a process in an outlier…

Probability · Mathematics 2022-11-21 Wesley W. Erickson , Daniel A. Steck

The intensification and increased frequency of weather extremes is emerging as one of the most important aspects of climate change. We use Monte Carlo simulation to understand and predict the consequences of variations in trends (i.e.,…

Populations and Evolution · Quantitative Biology 2011-08-26 Simone Vincenzi , Michele Bellingeri

Extreme events occur in many spatially extended dynamical systems, often devastatingly affecting human life which makes their reliable prediction and efficient prevention highly desirable. We study the prediction and prevention of extreme…

Data Analysis, Statistics and Probability · Physics 2015-10-09 Stephan Bialonski , Gerrit Ansmann , Holger Kantz