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Extreme value analysis (EVA) uses data to estimate long-term extreme environmental conditions for variables such as significant wave height and period, for the design of marine structures. Together with models for the short-term evolution…

统计方法学 · 统计学 2024-07-30 Matthew Speers , David Randell , Jonathan Angus Tawn , Philip Jonathan

This work presents a novel diagnostic tool for studying the thermodynamics of the climate systems with a wide range of applications, from sensitivity studies to model tuning. It includes a number of modules for assessing the internal energy…

大气与海洋物理 · 物理学 2019-06-13 Valerio Lembo , Frank Lunkeit , Valerio Lucarini

Finite volume methods are popular tools for solving time-dependent partial differential equations, especially hyperbolic conservation laws. Over the past 40 years a popular way of enlarging their robustness was the enforcement of global or…

数值分析 · 数学 2023-02-20 Simon-Christian Klein , Thomas Sonar

Discrete entropy estimation is a classic information theory problem, wherein the average information content of a discrete random variable is estimated from samples alone. Naive approaches, such as the plugin method, fail to account for the…

信息论 · 计算机科学 2026-05-04 Lucas H. McCabe , H. Howie Huang

A novel information entropy of turbulence systems with multiple field quantities is formulated. Inspired by quantum mechanics, the von Neumann entropy (vNE) and the entanglement entropy(EE) are derived from a density matrix for the…

流体动力学 · 物理学 2024-07-15 Go Yatomi , Motoki Nakata

Dempster-Shafer evidence theory is an efficient mathematical tool to deal with uncertain information. In that theory, basic probability assignment (BPA) is the basic element for the expression and inference of uncertainty. Decision-making…

人工智能 · 计算机科学 2015-02-26 Xinyang Deng , Yong Deng

Generating accurate extremes from an observational data set is crucial when seeking to estimate risks associated with the occurrence of future extremes which could be larger than those already observed. Applications range from the…

机器学习 · 统计学 2026-02-02 Nicolas Lafon , Philippe Naveau , Ronan Fablet

Mendelian randomization (MR) is a widely used tool for causal inference in the presence of unmeasured confounders, which uses single nucleotide polymorphisms (SNPs) as instrumental variables to estimate causal effects. However, SNPs often…

统计方法学 · 统计学 2025-04-29 Ruoyu Wang , Haoyu Zhang , Xihong Lin

Data taken from observations of the natural world or laboratory measurements often depend on parameters which can vary in unexpected ways. In this paper we demonstrate how machine learning can be leveraged to detect changes in global…

流体动力学 · 物理学 2021-11-25 Logan M. Kageorge , Roman O. Grigoriev , Michael F. Schatz

Most autonomous driving safety benchmarks use time-to-collision (TTC) to assess risk and guide safe behaviour. However, TTC-based methods treat risk as a one-dimensional closing problem, despite the inherently two-dimensional nature of…

The exponential moving average (EMA) is a commonly used statistic for providing stable estimates of stochastic quantities in deep learning optimization. Recently, EMA has seen considerable use in generative models, where it is computed with…

机器学习 · 计算机科学 2023-10-24 Jonathan Patsenker , Henry Li , Yuval Kluger

We establish the theoretical framework for implementing the maximumn entropy on the mean (MEM) method for linear inverse problems in the setting of approximate (data-driven) priors. We prove a.s. convergence for empirical means and further…

机器学习 · 统计学 2024-12-25 Matthew King-Roskamp , Rustum Choksi , Tim Hoheisel

We present the methods employed by team `Uniofbathtopia' as part of the Data Challenge organised for the 13th International Conference on Extreme Value Analysis (EVA2023), including our winning entry for the third sub-challenge. Our…

统计方法学 · 统计学 2023-12-22 Henry Elsom , Matthew Pawley

Microorganisms have developed complex regulatory features controlling their reaction and internal adaptation to changing environments. When modeling these organisms we usually do not have full understanding of the regulation and rely on…

最优化与控制 · 数学 2018-04-05 Henning Lindhorst , Alexandra-M. Reimers , Steffen Waldherr

In this paper, we show how the MEP hypothesis may be used to build simple climate models without representing explicitly the energy transport by the atmosphere. The purpose is twofold. First, we assess the performance of the MEP hypothesis…

大气与海洋物理 · 物理学 2017-03-21 Corentin Herbert , Didier Paillard

The extension of thermodynamic principles to active matter remains a challenge due to the non-equilibrium nature inherent to active systems. In this study, we introduce a framework to assess entropy in our minimal macroscopic experiment…

软凝聚态物质 · 物理学 2024-09-26 Francesco Romanò , Michael Riedl

A natural measure for the amount of quantum information that a physical system E holds about another system A = A_1,...,A_n is given by the min-entropy Hmin(A|E). Specifically, the min-entropy measures the amount of entanglement between E…

量子物理 · 物理学 2015-06-16 Frédéric Dupuis , Omar Fawzi , Stephanie Wehner

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

机器学习 · 统计学 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

Seismic signal is used for vehicle classification widely. However, this task becomes difficult as a result of various noises. To solve the problem, this paper proposes a novel de-noising algorithm which evolves from a nonparametric adaptive…

信号处理 · 电气工程与系统科学 2020-02-24 Guozheng Jin

Message importance measure (MIM) is applicable to characterize the importance of information in the scenario of big data, similar to entropy in information theory. In fact, MIM with a variable parameter can make an effect on the…

信息论 · 计算机科学 2024-04-08 Rui She , Shanyun Liu , Yunquan Dong , Pingyi Fan