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With a changing climate, the frequency and intensity of extreme weather events are likely to increase, posing a threat to infrastructure systems' resilience. The response of infrastructure systems to localised failures depends on whether…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Qianqian Li , Giuliano Punzo , Craig Robson , Hadi Arbabi , Martin Mayfield

Disruptions are an inherent feature of transportation systems, occurring unpredictably and with varying durations. Even after an incident is reported as resolved, disruptions can induce irregular train operations that generate substantial…

We review recent advances on the record statistics of strongly correlated time series, whose entries denote the positions of a random walk or a L\'evy flight on a line. After a brief survey of the theory of records for independent and…

Statistical Mechanics · Physics 2017-07-21 Claude Godreche , Satya N. Majumdar , Gregory Schehr

Hysteresis loops and the associated avalanche statistics of spin systems, such as the random-field Ising and Edwards-Anderson spin-glass models, have been extensively studied. A particular focus has been on self-organized criticality,…

Disordered Systems and Neural Networks · Physics 2019-01-11 John Ferre , Amin Barzegar , Helmut G. Katzgraber , Richard Scalettar

We discuss basic features of emergent complexity in dynamical systems far from equilibrium by focusing on the network structure of their state space. We start by measuring the distributions of avalanche and transient times in Random Boolean…

Biological Physics · Physics 2009-11-13 Andrew Berdahl , Amer Shreim , Vishal Sood , Joern Davidsen , Maya Paczuski

We probe the dynamics of intermittent avalanches caused by steady addition of grains to a quasi-two dimensional heap. To characterize the time-dependent average avalanche flow speed v(t), we image the top free surface. To characterize the…

Soft Condensed Matter · Physics 2007-12-10 A. R. Abate , H. Katsuragi , D. J. Durian

This study investigates the deterioration of skid resistance and surface macrotexture following preventive maintenance using micro-milling techniques. Field data were collected from 31 asphalt pavement sections located across four climatic…

Applications · Statistics 2025-08-07 Lu Gao , Zia Din , Kinam Kim , Ahmed Senouci

Potential energy stored during the inter-seismic period by tectonic loading around faults is released during earthquakes as radiated energy, heat and fracture energy. The latter is of first importance since it controls the nucleation,…

Predicting the process of porosity-based ductile damage in polycrystalline metallic materials is an essential practical topic. Ductile damage and its precursors are represented by extreme values in stress and material state quantities, the…

Materials Science · Physics 2023-08-09 Yinling Zhang , Nan Chen , Curt A. Bronkhorst , Hansohl Cho , Robert Argus

The distribution of the magnitudes of damage avalanches during a failure process typically follows a power law. When these avalanches are recorded close to the point at which the system fails catastrophically, we find that the power law has…

Materials Science · Physics 2009-08-03 Srutarshi Pradhan , Alex Hansen , Per C. Hemmer

We present stress-sensitive permeability relationships for two-dimensional fracture networks in the Opalinus Clay from the Mont Terri underground rock laboratory. These relationships may be used as a proxy for fracture network permeability…

Computational Engineering, Finance, and Science · Computer Science 2020-12-04 Rafael March , David Egya , Christine Maier , Andreas Busch , Florian Doster

We present a new approach to assessing the robustness of neural networks based on estimating the proportion of inputs for which a property is violated. Specifically, we estimate the probability of the event that the property is violated…

Machine Learning · Statistics 2019-02-25 Stefan Webb , Tom Rainforth , Yee Whye Teh , M. Pawan Kumar

Many experimental results, both in-vivo and in-vitro, support the idea that the brain cortex operates near a critical point, and at the same time works as a reservoir of precise spatio-temporal patterns. However the mechanism at the basis…

Neurons and Cognition · Quantitative Biology 2019-06-14 S. Scarpetta , I. Apicella , L. Minati , A. de Candia

We study how the loading rate, specimen geometry and microstructural texture select the dynamics of a crack moving through an heterogeneous elastic material in the quasi-static approximation. We find a transition, fully controlled by two…

Statistical Mechanics · Physics 2013-09-23 Jonathan Barés , Luc Barbier , Daniel Bonamy

We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur,…

Statistical Mechanics · Physics 2009-10-30 M. Kloster , A. Hansen , P. C. Hemmer

With the development of neural networks based machine learning and their usage in mission critical applications, voices are rising against the \textit{black box} aspect of neural networks as it becomes crucial to understand their limits and…

Machine Learning · Statistics 2017-08-08 El Mahdi El Mhamdi , Rachid Guerraoui , Sebastien Rouault

In bankruptcy prediction, the proportion of events is very low, which is often oversampled to eliminate this bias. In this paper, we study the influence of the event rate on discrimination abilities of bankruptcy prediction models. First…

Machine Learning · Statistics 2018-03-14 Lili Zhang , Jennifer Priestley , Xuelei Ni

Efficient tools for predicting the drag of rough walls in turbulent flows would have a tremendous impact. However, methods for drag prediction rely on experiments or numerical simulations which are costly and time-consuming. Data-driven…

Power law distributed fluctuations are known to accompany \emph{terminal} failure in disordered brittle solids. The associated intermittent scale-free behavior is of interest from the fundamental point of view as it emerges universally from…

Disordered Systems and Neural Networks · Physics 2021-10-19 Hudson Borja da Rocha , Lev Truskinovsky

Time scales of turbulent strain activity, denoted as the strain persistence times of first and second order, are obtained from time-dependent expectation values and correlation functions of lagrangian rate-of-strain eigenvalues taken in…

Fluid Dynamics · Physics 2014-01-06 L. Moriconi , R. M. Pereira