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We present a general construction for dependent random measures based on thinning Poisson processes on an augmented space. The framework is not restricted to dependent versions of a specific nonparametric model, but can be applied to all…

机器学习 · 统计学 2012-11-21 Nicholas J. Foti , Joseph D. Futoma , Daniel N. Rockmore , Sinead Williamson

A novel residual-type {\it a posteriori} error analysis technique is developed for multipoint flux mixed finite element methods for flow in porous media in two or three space dimensions. The derived {\it a posteriori} error estimator for…

数值分析 · 数学 2013-12-24 Shaohong Du , Shuyu Sun , Xiaoping Xie

This paper presents a computationally efficient robust model predictive control law for discrete linear time invariant systems subject to additive disturbances that may depend on the state and/or input norms. Despite the dependency being…

最优化与控制 · 数学 2019-08-12 Danylo Malyuta , Behcet Acikmese , Martin Cacan

We consider a general class of non-gradient hypoelliptic Langevin diffusions and study two related questions. The first one is large deviations for hypoelliptic multiscale diffusions. The second one is small mass asymptotics of the…

概率论 · 数学 2017-02-24 Wenqing Hu , Konstantinos Spiliopoulos

The purpose of this short note is to show how it is possible to combine existing results in the literature to get the unique continuation from sets of positive measure for time dependent parabolic equations with Lipschitz principal part and…

偏微分方程分析 · 数学 2020-11-02 Nicolas Burq , Claude Zuily

Prompt design plays a critical role in the reasoning performance of large language models (LLMs), yet the impact of prompt specificity - how detailed or vague a prompt is - remains understudied. This paper introduces DETAIL, a framework for…

计算与语言 · 计算机科学 2025-12-03 Olivia Kim

We consider non-parametric estimation problems in the presence of dependent data, notably non-parametric regression with random design and non-parametric density estimation. The proposed estimation procedure is based on a dimension…

统计理论 · 数学 2016-02-02 Nicolas Asin , Jan Johannes

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

统计理论 · 数学 2019-12-23 Hai Shu , Bin Nan

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two identical fluids. The steady-state diffusive flux in a finite system subject to a concentration gradient is…

介观与纳米尺度物理 · 物理学 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

The stability of interconnected linear time-invariant systems using singular values and the small gain theorem has been studied for many decades. The methods of mu-analysis and synthesis has been extensively developed to provide robustness…

系统与控制 · 电气工程与系统科学 2024-12-19 Luke Woolcock , Robert Schmid

The sensitivity of trajectories over finite time intervals t to perturbations of the initial conditions can be associated with a finite-time Lyapunov exponent lambda, obtained from the elements M_{ij} of the stability matrix M. For globally…

无序系统与神经网络 · 物理学 2007-05-23 H. Schomerus , M. Titov

Estimating the strength of dependency between two variables is fundamental for exploratory analysis and many other applications in data mining. For example: non-linear dependencies between two continuous variables can be explored with the…

机器学习 · 统计学 2016-01-21 Simone Romano , Nguyen Xuan Vinh , James Bailey , Karin Verspoor

We observe a narrow enhancement near 2mp in the invariant mass spectrum of ppbar pairs from radiative J/psi-->gamma ppbar decays. The enhancement can be fit with either an S- or P-wave Breit Wigner fuction. In the case of the S-wave fit,…

高能物理 - 实验 · 物理学 2008-11-26 BES Collaboration , J. Z. Bai , Y. Ban , J. G. Bian

We derive a new residual-type a posteriori estimator for a singularly perturbed reaction-diffusion problem with obstacle constraints. It generalizes robust residual estimators for unconstrained singularly perturbed equations. Upper and…

数值分析 · 数学 2020-09-15 Mirjam Walloth

Longitudinal processes often pose nonlinear change patterns. Latent basis growth models (LBGMs) provide a versatile solution without requiring specific functional forms. Building on the LBGM specification for unequally-spaced waves and…

统计方法学 · 统计学 2025-12-02 Jin Liu

An efficient proximal-gradient-based method, called proximal extrapolated gradient method, is designed for solving monotone variational inequality in Hilbert space. The proposed method extends the acceptable range of parameters to obtain…

最优化与控制 · 数学 2019-12-05 Xiaokai Chang , Sanyang Liu , Jianchao Bai , Jun Yang

Longitudinal analysis is important in many disciplines, such as the study of behavioral transitions in social science. Only very recently, feature selection has drawn adequate attention in the context of longitudinal modeling. Standard…

统计方法学 · 统计学 2016-10-26 Tingyang Xu , Jiangwen Sun , Jinbo Bi

Given a bi-Lipschitz measure-preserving homeomorphism of a compact metric measure space of finite dimension, consider the sequence formed by the Lipschitz norms of its iterations. We obtain lower bounds on the growth rate of this sequence…

动力系统 · 数学 2009-01-13 Krzysztof Fraczek , Leonid Polterovich

We present a constructive approach to bounded $\ell_2$-gain adaptive control with noisy measurements for linear time-invariant scalar systems with uncertain parameters belonging to a finite set. The gain bound refers to the closed-loop…

最优化与控制 · 数学 2022-02-18 Olle Kjellqvist , Anders Rantzer

A semilinear reaction-diffusion two-point boundary value problem, whose second-order derivative is multiplied by a small positive parameter $\eps^2$, is considered. It can have multiple solutions. An asymptotic expansion is constructed for…

数值分析 · 数学 2013-03-20 Natalia Kopteva , Martin Stynes