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Relationship between two popular modeling frameworks of causal inference from observational data, namely, causal graphical model and potential outcome causal model is discussed. How some popular causal effect estimators found in…

统计方法学 · 统计学 2014-11-03 Priyantha Wijayatunga

In this paper, we discuss the emergence of extreme events in a parametrically driven non-polynomial mechanical system with a velocity-dependent potential. We confirm the occurrence of extreme events from the probability distribution…

统计力学 · 物理学 2021-06-22 S. Sudharsan , A. Venkatesan , P. Muruganandam , M. Senthilvelan

Discovering causal relationships in complex socio-behavioral systems is challenging but essential for informed decision-making. We present Upload, PREprocess, Visualize, and Evaluate (UPREVE), a user-friendly web-based graphical user…

机器学习 · 计算机科学 2023-07-27 Suraj Jyothi Unni , Paras Sheth , Kaize Ding , Huan Liu , K. Selcuk Candan

Causal effect identification typically requires a fully specified causal graph, which can be difficult to obtain in practice. We provide a sufficient criterion for identifying causal effects from a candidate set of Markov equivalence…

统计方法学 · 统计学 2025-06-19 Kai Z. Teh , Kayvan Sadeghi , Terry Soo

In many complex systems, large events are believed to follow power-law, scale-free probability distributions, so that the extreme, catastrophic events are unpredictable. Here, we study coupled chaotic oscillators that display extreme…

Extreme events are unusual and rare large-amplitude fluctuations that occur can unexpectedly in nonlinear dynamical systems. Events above the extreme event threshold of the probability distribution of a nonlinear process characterize…

数据分析、统计与概率 · 物理学 2023-03-08 Premraj Durairaj , Sathiyadevi Kanagaraj , Suresh Kumarasamy , Karthikeyan Rajagopal

Causal discovery is challenging in general dynamical systems because, without strong structural assumptions, the underlying causal graph may not be identifiable even from interventional data. However, many real-world systems exhibit…

机器学习 · 计算机科学 2026-04-07 Panayiotis Panayiotou , Özgür Şimşek

We consider stochastic processes arising from dynamical systems by evaluating an observable function along the orbits of the system. The novelty is that we will consider observables achieving a global maximum value (possible infinite) at…

Extreme events are emergent phenomena in multi-particle transport processes on complex networks. In practice, such events could range from power blackouts to call drops in cellular networks to traffic congestion on roads. All the earlier…

物理与社会 · 物理学 2020-10-27 Aanjaneya Kumar , Suman Kulkarni , M. S. Santhanam

Entropic causal inference is a framework for inferring the causal direction between two categorical variables from observational data. The central assumption is that the amount of unobserved randomness in the system is not too large. This…

机器学习 · 统计学 2021-01-12 Spencer Compton , Murat Kocaoglu , Kristjan Greenewald , Dmitriy Katz

The classical multivariate extreme-value theory concerns the modeling of extremes in a multivariate random sample, suggesting the use of max-stable distributions. In this work, the classical theory is extended to the case where aggregated…

统计方法学 · 统计学 2020-03-12 Enkelejd Hashorva , Simone A. Padoan , Stefano Rizzelli

Fully understanding narratives often requires identifying events in the context of whole documents and modeling the event relations. However, document-level event extraction is a challenging task as it requires the extraction of event and…

计算与语言 · 计算机科学 2021-05-11 Kung-Hsiang Huang , Nanyun Peng

Observed accidents have been the main resource for road safety analysis over the past decades. Although such reliance seems quite straightforward, the rare nature of these events has made safety difficult to assess, especially for new and…

应用统计 · 统计学 2019-11-22 Joana Cavadas , Carlos Lima Azevedo , Haneen Farah , Ana Ferreira

Causal discovery and causal effect estimation are two fundamental tasks in causal inference. While many methods have been developed for each task individually, statistical challenges arise when applying these methods jointly: estimating…

统计方法学 · 统计学 2024-08-21 Paula Gradu , Tijana Zrnic , Yixin Wang , Michael I. Jordan

Many research questions concern treatment effects on outcomes that can recur several times in the same individual. For example, medical researchers are interested in treatment effects on hospitalizations in heart failure patients and sports…

统计方法学 · 统计学 2024-12-31 Matias Janvin , Jessica G. Young , Pål C. Ryalen , Mats J. Stensrud

Causal systems often exhibit variations of the underlying causal mechanisms between the variables of the system. Often, these changes are driven by different environments or internal states in which the system operates, and we refer to…

机器学习 · 计算机科学 2025-03-28 Wiebke Günther , Oana-Iuliana Popescu , Martin Rabel , Urmi Ninad , Andreas Gerhardus , Jakob Runge

We analyse extreme event statistics of experimentally realized Markov chains with various drifts. Our Markov chains are individual trajectories of a single atom diffusing in a one dimensional periodic potential. Based on more than 500…

Scientific discovery catalyzes human intellectual advances, driven by the cycle of hypothesis generation, experimental design, evaluation, and assumption refinement. Central to this process is causal inference, uncovering the mechanisms…

机器学习 · 计算机科学 2025-09-26 Ivaxi Sheth , Sahar Abdelnabi , Mario Fritz

In many scientific disciplines, coarse-grained causal models are used to explain and predict the dynamics of more fine-grained systems. Naturally, such models require appropriate macrovariables. Automated procedures to detect suitable…

机器学习 · 计算机科学 2021-11-30 Benedikt Höltgen

We study the spatio-temporal features of extremal sub-daily precipitation data over the Piave river basin in northeast Italy using a rich database of observed hourly rainfall. Empirical evidence suggests that both the marginal and…

应用统计 · 统计学 2025-11-26 Dáire Healy , Ilaria Prosdocimi , Isadora Antoniano-Villalobos