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Extreme events, such as wave-storms, need to be characterized for coastal infrastructure design purposes. Such description should contain information on both the univariate behaviour and the joint-dependence of storm-variables. These two…

Max-stable processes are the natural analogues of the generalized extreme-value distribution for the modelling of extreme events in space and time. Under suitable conditions, these processes are asymptotically justified models for maxima of…

统计方法学 · 统计学 2013-09-27 Raphaël Huser , A. C. Davison

Contextuality is a non-classical behaviour that can be exhibited by quantum systems. It is increasingly studied for its relationship to quantum-over-classical advantages in informatic tasks. To date, it has largely been studied in…

We formulate a causal extension to the recently introduced paradigm of instance-wise feature selection to explain black-box visual classifiers. Our method selects a subset of input features that has the greatest causal effect on the models…

机器学习 · 计算机科学 2021-04-27 Pranoy Panda , Sai Srinivas Kancheti , Vineeth N Balasubramanian

In many practical applications, evaluating the joint impact of combinations of environmental variables is important for risk management and structural design analysis. When such variables are considered simultaneously, non-stationarity can…

应用统计 · 统计学 2024-04-23 C. J. R. Murphy-Barltrop , J. L. Wadsworth

Max-stable random fields play a central role in modeling extreme value phenomena. We obtain an explicit formula for the conditional probability in general max-linear models, which include a large class of max-stable random fields. As a…

统计计算 · 统计学 2010-11-29 Yizao Wang , Stilian A. Stoev

Contextuality is a natural generalization of nonlocality which does not need composite systems or spacelike separation and offers a wider spectrum of interesting phenomena. Most notably, in quantum mechanics there exist scenarios where the…

This paper presents a simplified likelihood framework designed to facilitate the reuse, reinterpretation and combination of LHC experimental results. The framework is based on the same underlying structure as the widely used HistFactory…

高能物理 - 实验 · 物理学 2023-05-18 Nicolas Berger

A geometric representation for multivariate extremes, based on the shapes of scaled sample clouds in light-tailed margins and their so-called limit sets, has recently been shown to connect several existing extremal dependence concepts.…

统计方法学 · 统计学 2023-11-03 Jennifer Wadsworth , Ryan Campbell

Most behavioral and social experiments aimed at revealing contextuality are confined to cyclic systems with binary outcomes. In quantum physics, this broad class of systems includes as special cases Klyachko-Can-Binicioglu-Shumovsky-type,…

神经元与认知 · 定量生物学 2016-02-12 Ehtibar Dzhafarov , Ru Zhang , Janne Kujala

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

统计方法学 · 统计学 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

The asymptotic results that underlie applications of extreme random fields often assume that the variables are located on a regular discrete grid, identified with $\mathbb{Z}^2$, and that they satisfy stationarity and isotropy conditions.…

概率论 · 数学 2015-09-03 Helena Ferreira , Luísa Pereira , Ana Paula Martins

We introduce a set of theoretical ideas that form the basis for an analytical framework capable of describing nonequilibrium dynamics in glassy systems. We test the resulting scenario by comparing its predictions with numerical simulations…

It is well known that the distribution of extreme values of strictly stationary sequences differ from those of independent and identically distributed sequences in that extremal clustering may occur. Here we consider non-stationary but…

统计理论 · 数学 2021-04-23 Graeme Auld , Ioannis Papastathopoulos

The scenario approach is widely used in robust control system design and chance-constrained optimization, maintaining convexity without requiring assumptions about the probability distribution of uncertain parameters. However, the approach…

最优化与控制 · 数学 2024-12-10 Jaeseok Choi , Anand Deo , Constantino Lagoa , Anirudh Subramanyam

We present probabilistic analysis of the Greenberger-Horne-Zeilinger (GHZ) scheme in the contextualist framework, namely under the assumption that distributions of hidden variables depend on settings of measurement devices. On one hand, we…

量子物理 · 物理学 2010-11-30 Andrei Khrennikov

This article proposes a bivariate Simplex distribution for modeling continuous outcomes constrained to the interval $(0,1)$, which can represent proportions, rates, or indices. We derive analytical expressions to calculate the dependence…

统计方法学 · 统计学 2025-04-03 Emerson Amaral , Lucas S. Vieira , Lizandra C. Fabio , Vanessa Barros , Jalmar M. F. Carrasco

Analyzing pseudo-telepathy graph games, we propose a way to build contextuality scenarios exhibiting the quantum supremacy using graph states. We consider the combinatorial structures that generate equivalent scenarios. We introduce a new…

量子物理 · 物理学 2022-02-01 Anurag Anshu , Peter Hoyer , Mehdi Mhalla , Simon Perdrix

This paper provides a framework for characterizing sequential scenarios, allowing for the identification of contextuality given empirical data, and then provides precise operational interpretations in terms of the possible hidden variable…

量子物理 · 物理学 2025-12-05 Kim Vallée , Damian Markham

We study which outcomes are implementable by disclosing coarse statistics of a data-generating process rather than its full distribution. Players observe data whose joint distribution is only partially known: they know the expectations of…

理论经济学 · 经济学 2026-05-11 Francesco Giordano