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Robust optimization aims to find optimum points from the collection of points that are feasible for every possible scenario of a given uncertain set. An optimum solution to a robust optimization problem is commonly found by the min-max…

最优化与控制 · 数学 2024-10-07 Nand Kishor , Debdas Ghosh , Xiaopeng Zhao

In this paper, we compute doubly truncated moments for the selection elliptical (SE) class of distributions, which includes some multivariate asymmetric versions of well-known elliptical distributions, such as, the normal, Student's t,…

统计理论 · 数学 2020-07-30 Christian E. Galarza , Larissa A. Matos , Victor H. Lachos

Weighted automata (WA) are an important formalism to describe quantitative properties. Obtaining equivalent deterministic machines is a longstanding research problem. In this paper we consider WA with a set semantics, meaning that the…

形式语言与自动机理论 · 计算机科学 2017-01-18 Laure Daviaud , Ismael Jecker , Pierre-Alain Reynier , Didier Villevalois

We provide an efficient algorithm for the classical problem, going back to Galton, Pearson, and Fisher, of estimating, with arbitrary accuracy the parameters of a multivariate normal distribution from truncated samples. Truncated samples…

Recently, authors have studied weighted version of Kerridge inaccuracy measure for truncated distributions. In the present communication we introduce the notion of weighted interval inaccuracy measure for two-sided truncated random…

统计理论 · 数学 2020-04-08 Chanchal Kundu

Ordinal outcomes are common in clinical settings where they often represent increasing levels of disease progression or different levels of functional impairment. Such outcomes can characterize differences in meaningful patient health…

统计方法学 · 统计学 2025-08-29 Zhiqiang Cao , Scott Zuo , Mary Ryan Baumann , Kendra Plourde , Patrick Heagerty , Guangyu Tong , Fan Li

Linear discriminant analysis is a widely used method for classification. However, the high dimensionality of predictors combined with small sample sizes often results in large classification errors. To address this challenge, it is crucial…

机器学习 · 统计学 2025-01-09 Hongzhe Zhang , Arnab Auddy , Hongzhe Lee

The ordered weighted $\ell_1$ norm (OWL) was recently proposed, with two different motivations: its good statistical properties as a sparsity promoting regularizer; the fact that it generalizes the so-called {\it octagonal shrinkage and…

数据结构与算法 · 计算机科学 2015-04-13 Xiangrong Zeng , Mário A. T. Figueiredo

In this paper, we study the $N$-dimensional integral $\phi(a,b; A) = \int_{a}^{b} H(x) f(x | A) \text{d} x$ representing the expectation of a function $H(X)$ where $f(x | A)$ is the truncated multi-variate normal (TMVN) distribution with…

数值分析 · 数学 2025-12-09 Jingfang Huang , Fuhui Fang , George Turkiyyah , Jian Cao , Marc G. Genton , David E. Keyes

Consider a class of decomposable combinatorial structures, using different types of atoms $\Atoms = \{\At_1,\ldots ,\At_{|{\Atoms}|}\}$. We address the random generation of such structures with respect to a size $n$ and a targeted…

离散数学 · 计算机科学 2010-12-01 Alain Denise , Yann Ponty , Michel Termier

When comparing performance (of products, services, entities, etc.), multiple attributes are involved. This paper deals with a way of weighting these attributes when one is seeking an overall score. It presents an objective approach to…

统计方法学 · 统计学 2024-09-04 Chris Tofallis

Weighted automata is a basic tool for specification in quantitative verification, which allows to express quantitative features of analysed systems such as resource consumption. Quantitative specification can be assisted by automata…

计算复杂性 · 计算机科学 2024-03-04 Jakub Michaliszyn , Jan Otop

We propose a new weighted average estimator for the high dimensional parameters under the distributed learning system, in which the weight assigned to each coordinate is precisely proportional to the inverse of the variance of the local…

统计方法学 · 统计学 2025-02-06 Jun Lu , Xiaoyu Mao , Mengyao Li , Chenping Hou

Weight-ensembles are formed when the parameters of multiple neural networks are directly averaged into a single model. They have demonstrated generalization capability in-distribution (ID) and out-of-distribution (OOD) which is not…

机器学习 · 计算机科学 2024-09-05 Alex Rojas , David Alvarez-Melis

This paper develops recurrence relations for integrals that relate the density of multivariate extended skew-normal (ESN) distribution, including the well-known skew-normal (SN) distribution introduced by Azzalini and Dalla-Valle (1996) and…

统计理论 · 数学 2020-09-29 Christian E. Galarza , Larissa A. Matos , Dipak K. Dey , Victor H. Lachos

Online resource allocation (ORA) is a fundamental framework for sequential decision-making problems under budget constraints, with applications ranging from online advertising to revenue management. In this work, we study a broader setting…

计算机科学与博弈论 · 计算机科学 2026-05-12 Eleonora Fidelia Chiefari , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi

Compiling graphical models has recently been under intense investigation, especially for probabilistic modeling and processing. We present here a novel data structure for compiling weighted graphical models (in particular, probabilistic…

人工智能 · 计算机科学 2012-06-26 Robert Mateescu , Rina Dechter

We study the basic statistical problem of testing whether normally distributed $n$-dimensional data has been truncated, i.e. altered by only retaining points that lie in some unknown truncation set $S \subseteq \mathbb{R}^n$. As our main…

数据结构与算法 · 计算机科学 2024-11-25 Anindya De , Shivam Nadimpalli , Rocco A. Servedio

Estimators that weight observed outcomes to form effect estimates have a long tradition. Their outcome weights are widely used in established procedures, such as checking covariate balance, characterizing target populations, or detecting…

计量经济学 · 经济学 2024-12-13 Michael C. Knaus

The finite sensitivity of instruments or detection methods means that data sets in many areas of astronomy, for example cosmological or exoplanet surveys, are necessarily systematically incomplete. Such data sets, where the population being…

天体物理仪器与方法 · 物理学 2020-10-14 Adam B. Mantz