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Many natural systems exhibit dynamics characterized by alternating phases or recurring sets of states. Describing the fluctuations of such systems over stochastic trajectories is necessary across diverse fields, from biological motors to…

Statistical Mechanics · Physics 2025-12-17 Guilherme Fiusa , Pedro E. Harunari , Abhaya S. Hegde , Gabriel T. Landi

We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon. By combining methods from probability and differential…

Physics and Society · Physics 2025-05-19 Simone Göttlich , Thomas Schillinger , Andrea Tosin

Event extraction identifies the central aspects of events from text. It supports event understanding and analysis, which is crucial for tasks such as informed decision-making in emergencies. Therefore, it is necessary to develop automated…

Computation and Language · Computer Science 2026-04-24 Praval Sharma , Ashok Samal , Leen-Kiat Soh , Deepti Joshi

Large entropy fluctuations in a nonequilibrium steady state of classical mechanics were studied in extensive numerical experiments on a simple 2-freedom model with the so-called Gauss time-reversible thermostat. The local fluctuations (on a…

Chaotic Dynamics · Physics 2009-10-31 Boris Chirikov

In this paper we introduce a general stochastic representation for an important class of processes with resetting. It allows to describe any stochastic process intermittently terminated and restarted from a predefined random or non-random…

Probability · Mathematics 2023-10-11 Marcin Magdziarz , Kacper Taźbierski

We start by reviewing recent probabilistic results on ergodic sums in a large class of (non-uniformly) hyperbolic dynamical systems. Namely, we describe the central limit theorem, the almost-sure convergence to the gaussian and other stable…

Dynamical Systems · Mathematics 2012-05-09 J. -R. Chazottes

With the rapid increase of valuable observational, experimental and simulated data for complex systems, much efforts have been devoted to identifying governing laws underlying the evolution of these systems. Despite the wide applications of…

Machine Learning · Statistics 2021-10-01 Yang Li , Yubin Lu , Shengyuan Xu , Jinqiao Duan

We report new statistical time-series analysis tools providing significant improvements in the rapid, precision extraction of discrete state dynamics from large databases of experimental observations of molecular machines. By building…

Quantitative Methods · Quantitative Biology 2019-10-23 Max A. Little , Bradley C. Steel , Fan Bai , Yoshiyuki Sowa , Thomas Bilyard , David M. Mueller , Richard M. Berry , Nick S. Jones

Pearson's correlation is among the mostly widely reported measures of association. The strength of the statistical evidence for linear association is determined by the p-value of a hypothesis test. If the true distribution of a dataset is…

Statistics Theory · Mathematics 2021-08-31 Marc Jaffrey , Michael Dushkoff

Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

Machine Learning · Statistics 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

Automatically detecting anomalies in event data can provide substantial value in domains such as healthcare, DevOps, and information security. In this paper, we frame the problem of detecting anomalous continuous-time event sequences as…

Machine Learning · Computer Science 2021-12-20 Oleksandr Shchur , Ali Caner Türkmen , Tim Januschowski , Jan Gasthaus , Stephan Günnemann

In the first part of this paper, we consider a family of continuous-time dynamical systems coupled with diffusion-transmutation processes. Under certain conditions, such randomly perturbed dynamical systems can be interpreted as an averaged…

Optimization and Control · Mathematics 2024-08-21 Getachew K. Befekadu

Statistical properties of coupled dynamic-stochastic systems are studied within a combination of the maximum information principle and the superstatistical approach. The conditions at which the Shannon entropy functional leads to a…

Statistical Mechanics · Physics 2009-11-11 E. V. Vakarin , J. P. Badiali

Understanding the physics of non-equilibrium systems remains as one of the major open questions in statistical physics. This problem can be partially handled by investigating macroscopic fluctuations of key magnitudes that characterise the…

Soft Condensed Matter · Physics 2016-11-17 A. Lasanta , Pablo I. Hurtado , A. Prados

We present a new statistical test that examines the consistency of the tails of two empirical distributions at multiple thresholds. Such distributions are often encountered in counting experiments, in physics and elsewhere, where the…

Data Analysis, Statistics and Probability · Physics 2018-11-06 Ryan Lynch , Salvatore Vitale , Erik Katsavounidis

Sociotechnological and geospatial processes exhibit time varying structure that make insight discovery challenging. To detect abnormal moments in these processes, a definition of `normal' must be established. This paper proposes a new…

Social and Information Networks · Computer Science 2017-12-15 Jace Robinson , Derek Doran

One of the main features of statistical systems out of equilibrium is the currents they exhibit in their stationary state: microscopic currents of probability between configurations, which translate into macroscopic currents of mass,…

Statistical Mechanics · Physics 2016-01-05 Alexandre Lazarescu

We introduce a simple computational model that, with a microscopic dynamics driven by natural selection and mutation alone, allows the description of true speciation events. A statistical analysis of the so generated evolutionary tree…

Populations and Evolution · Quantitative Biology 2009-11-11 V. Schwammle , E. Brigatti

The probability distribution p(l) of an atom to return to a step at distance l from the detachment site, with a random walk in between, is exactly enumerated. In particular, we study the dependence of p(l) on step roughness, presence of…

Condensed Matter · Physics 2011-01-12 M. Bisani , W. Selke

The problem of event extraction requires detecting the event trigger and extracting its corresponding arguments. Existing work in event argument extraction typically relies heavily on entity recognition as a preprocessing/concurrent step,…

Computation and Language · Computer Science 2021-02-08 Xinya Du , Claire Cardie
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