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We present multi-adaptive versions of the standard continuous and discontinuous Galerkin methods for ODEs. Taking adaptivity one step further, we allow for individual time-steps, order and quadrature, so that in particular each individual…

数值分析 · 数学 2012-05-15 Anders Logg

Due to globalization and relaxed market regulation, we have assisted to an increasing of extremal dependence in international markets. As a consequence, several measures of tail dependence have been stated in literature in recent years,…

统计理论 · 数学 2011-08-10 Helena Ferreira , Marta Ferreira

A function-on-function regression model with quadratic and interaction effects of the covariates provides a more flexible model. Despite several attempts to estimate the model's parameters, almost all existing estimation strategies are…

统计方法学 · 统计学 2024-10-25 Ufuk Beyaztas , Han Lin Shang , Abhijit Mandal

We propose a multiple relaxation time Boltzmann equation collision model by systematically assigning a separate relaxation time to each of the central moments of the distribution function. The Chapman-Enskog calculation leads to correct…

计算物理 · 物理学 2020-10-06 Xiaowen Shan

Existing theory for multivariate extreme values focuses upon characterizations of the distributional tails when all components of a random vector, standardized to identical margins, grow at the same rate. In this paper, we consider the…

统计理论 · 数学 2013-12-20 J. L. Wadsworth , J. A. Tawn

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

统计方法学 · 统计学 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

Measuring the contribution of a bank or an insurance company to overall systemic risk is a key concern, particularly in the aftermath of the 2007--2009 financial crisis and the 2020 downturn. In this paper, we derive worst-case and…

风险管理 · 定量金融 2025-11-18 Jinghui Chen , Edward Furman , X. Sheldon Lin

In this paper, we provide a generalized framework for Variational Inference-Stochastic Optimal Control by using thenon-extensive Tsallis divergence. By incorporating the deformed exponential function into the optimality likelihood function,…

机器学习 · 计算机科学 2021-04-02 Ziyi Wang , Oswin So , Jason Gibson , Bogdan Vlahov , Manan S. Gandhi , Guan-Horng Liu , Evangelos A. Theodorou

We apply an improved Taylor expansion method, which is a variational scheme to the Ising model in two dimensions. This method enables us to evaluate the free energy and magnetization in strong coupling regions from the weak coupling…

高能物理 - 理论 · 物理学 2009-11-11 T. Aoyama , T. Matsuo , Y. Shibusa

A rigorous unified perspective of cohesive zone models is presented, including and comparing potential-based and non potential-based formulations, and encompassing known examples studied in literature. The main novelty of the work consists…

偏微分方程分析 · 数学 2025-03-05 Francesco Freddi , Filippo Riva

We present a new enriched Galerkin (EG) scheme for the Stokes equations based on piecewise linear elements for the velocity unknowns and piecewise constant elements for the pressure. The proposed EG method augments the conforming piecewise…

数值分析 · 数学 2022-04-12 Son-Young Yi , Xiaozhe Hu , Sanghyun Lee , James H. Adler

Understanding the structure of weighted signed networks is essential for analysing social systems in which relationships vary both in sign and strength. Despite significant advances in statistical network analysis, there is still a lack of…

统计方法学 · 统计学 2025-11-06 Alberto Caimo , Isabella Gollini

In this paper we propose a new lifetime model, called the odd generalized exponential gompertz distribution, We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of…

统计理论 · 数学 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa

A new class of copulas, termed the MGL copula class, is introduced. The new copula originates from extracting the dependence function of the multivariate generalized log-Moyal-gamma distribution whose marginals follow the univariate…

统计方法学 · 统计学 2021-08-23 Zhengxiao Li , Jan Beirlant , Liang Yang

This paper summarizes the state of knowledge and ongoing research on methods and techniques for resilience evaluation, taking into account the resilience-scaling challenges and properties related to the ubiquitous computerized systems. We…

性能 · 计算机科学 2012-11-27 Mohamed Kaaniche , Paolo Lollini , Andrea Bondavalli , Karama Kanoun

This paper develops robust inference methods for predictive regressions that address key challenges posed by endogenously persistent or heavy-tailed regressors, as well as persistent volatility in errors. Building on the Cauchy estimation…

计量经济学 · 经济学 2026-04-21 Rustam Ibragimov , Jihyun Kim , Anton Skrobotov

We propose a model for the density statistics in supersonic turbulence, which play a crucial role in star-formation and the physics of the interstellar medium (ISM). Motivated by [Hopkins, MNRAS, 430, 1880 (2013)], the model considers the…

星系天体物理 · 物理学 2017-08-30 Jonathan Squire , Philip F. Hopkins

We introduce and analyze a stress-based formulation for Zener's model in linear viscoelasticity. The method is aimed to tackle efficiently heterogeneous materials that admit purely elastic and viscoelastic parts in their composition. We…

数值分析 · 数学 2020-10-19 Antonio Márquez , Salim Meddahi

The paper presents a new copula based method for measuring dependence between random variables. Our approach extends the Maximum Mean Discrepancy to the copula of the joint distribution. We prove that this approach has several advantageous…

机器学习 · 计算机科学 2019-08-15 Barnabas Poczos , Zoubin Ghahramani , Jeff Schneider

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

材料科学 · 物理学 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner
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