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We present a domain-general account of causation that applies to settings in which macro-level causal relations between two systems are of interest, but the relevant causal features are poorly understood and have to be aggregated from vast…

机器学习 · 统计学 2015-12-29 Krzysztof Chalupka , Pietro Perona , Frederick Eberhardt

Extreme events and the heavy tail distributions driven by them are ubiquitous in various scientific, engineering and financial research. They are typically associated with stochastic instability caused by hidden unresolved processes.…

概率论 · 数学 2019-05-22 Andrew J. Majda , Xin T. Tong

Emergence, the phenomena where a system's micro-scale dynamics facilitate the development of non-trivial, informative higher scales, has become a foundational concept in modern sciences, tying together fields as diverse as physics, biology,…

元胞自动机与格子气 · 物理学 2020-03-31 Thomas F. Varley

Beneficial to advanced computing devices, models with massive parameters are increasingly employed to extract more information to enhance the precision in describing and predicting the patterns of objective systems. This phenomenon is…

信息论 · 计算机科学 2024-03-08 Liye Jia , Fengyufan Yang , Ka Lok Man , Erick Purwanto , Sheng-Uei Guan , Jeremy Smith , Yutao Yue

We propose and compare methods for the analysis of extreme events in complex systems governed by PDEs that involve random parameters, in situations where we are interested in quantifying the probability that a scalar function of the…

最优化与控制 · 数学 2025-08-12 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

We provide a novel approach and an exploratory study for modelling life event choices and occurrence from a probabilistic perspective through causal discovery and survival analysis. Our approach is formulated as a bi-level problem. In the…

In [1] we present an extension of Prime Event Structures by a mechanism to express dynamicity in the causal relation. More precisely we add the possibility that the occurrence of an event can add or remove causal dependencies between events…

计算机科学中的逻辑 · 计算机科学 2015-04-03 Youssef Arbach , David Karcher , Kirstin Peters , Uwe Nestmann

In this paper we investigate some properties, including causality, of a particular class of relativistic dissipative fluid theories of divergence type. This set is defined as those theories coming from a statistical description of matter,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Oscar A. Reula , Gabriel B. Nagy

Recurrent events, including cardiovascular events, are commonly observed in biomedical studies. Researchers must understand the effects of various treatments on recurrent events and investigate the underlying mediation mechanisms by which…

统计方法学 · 统计学 2025-07-08 Yan-Lin Chen , Yan-Hong Chen , Pei-Fang Su , Huang-Tz Ou , An-Shun Tai

We introduce a new formulation of structural causal models for extremes, called the extremal structural causal model (eSCM). Unlike conventional structural causal models, where randomness is governed by a probability distribution, eSCMs use…

统计理论 · 数学 2026-05-27 Shuyang Bai , Fei Fang , Tiandong Wang

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

统计方法学 · 统计学 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantification, prediction and mitigation of extreme events are highly…

混沌动力学 · 物理学 2018-03-19 Mohammad Farazmand , Themistoklis P. Sapsis

The increasing occurrence of extreme weather events since the beginning of the 21st century has led to the development of new methods to attribute extreme events to anthropogenic climate change. The way in which the extreme event is defined…

大气与海洋物理 · 物理学 2026-05-25 Pascal Meurer , Sebastian Buschow , Svenja Szemkus , Petra Friederichs

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

统计方法学 · 统计学 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

The theory of causal emergence (CE) with effective information (EI) posits that complex systems can exhibit CE, where macro-dynamics show stronger causal effects than micro-dynamics. A key challenge of this theory is its dependence on…

统计力学 · 物理学 2025-03-12 Jiang Zhang , Ruyi Tao , Keng Hou Leong , Mingzhe Yang , Bing Yuan

Detecting extreme events in large datasets is a major challenge in climate science research. Current algorithms for extreme event detection are build upon human expertise in defining events based on subjective thresholds of relevant…

计算机视觉与模式识别 · 计算机科学 2016-05-05 Yunjie Liu , Evan Racah , Prabhat , Joaquin Correa , Amir Khosrowshahi , David Lavers , Kenneth Kunkel , Michael Wehner , William Collins

We study the extreme events taking place on complex networks. The transport on networks is modelled using random walks and we compute the probability for the occurance and recurrence of extreme events on the network. We show that the nodes…

统计力学 · 物理学 2011-05-05 Vimal Kishore , M. S. Santhanam , R. E. Amritkar

The last decade has seen numerous record-shattering heatwaves in all corners of the globe. In the aftermath of these devastating events, there is interest in identifying worst-case thresholds or upper bounds that quantify just how hot…

数据分析、统计与概率 · 物理学 2025-01-24 Mark D. Risser , Likun Zhang , Michael F. Wehner

Hazard event sets, a collection of synthetic extreme events over a given period, are important for catastrophe modelling. This paper addresses the issue of generating event sets of extreme river flow for northern England and southern…

应用统计 · 统计学 2023-05-30 Christian Rohrbeck , Daniel Cooley

In multivariate extreme value analysis, the nature of the extremal dependence between variables should be considered when selecting appropriate statistical models. Interest often lies with determining which subsets of variables can take…

统计方法学 · 统计学 2022-07-19 Emma S. Simpson , Jennifer L. Wadsworth , Jonathan A. Tawn