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This paper studies how to generalize Tukey's depth to problems defined in a restricted space that may be curved or have boundaries, and to problems with a nondifferentiable objective. First, using a manifold approach, we propose a broad…

统计方法学 · 统计学 2023-05-05 Yiyuan She , Shao Tang , Jingze Liu

The Bell regression model (BRM) is a statistical model that is often used in the analysis of count data that exhibits overdispersion. In this study, we propose a Bayesian analysis of the BRM and offer a new perspective on its application.…

统计计算 · 统计学 2024-03-13 Ameer Musa Imran Alhseeni , Hossein Bevrani

(English) This monograph aims at presenting the core weak convergence theory for sequences of random vectors with values in $\mathbb{R}^k$. In some places, a more general formulation in metric spaces is provided. It lays out the necessary…

概率论 · 数学 2018-08-09 Gane Samb Lo , Modou Ngom , Tchilabalo Atozou Kpanzou

We propose Range and Roots which are two common patterns useful for specifying a wide range of counting and occurrence constraints. We design specialised propagation algorithms for these two patterns. Counting and occurrence constraints…

人工智能 · 计算机科学 2009-03-03 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

分布式、并行与集群计算 · 计算机科学 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga

The hierarchical and recursive expressive capability of rooted trees is applicable to represent statistical models in various areas, such as data compression, image processing, and machine learning. On the other hand, such hierarchical…

机器学习 · 计算机科学 2022-01-25 Yuta Nakahara , Shota Saito , Akira Kamatsuka , Toshiyasu Matsushima

Given a dataset we quantify how many patterns must always exist in the dataset. Formally this is done through the lens of Ramsey theory of graphs, and a quantitative bound known as Goodman's theorem. Combining statistical tools with Ramsey…

组合数学 · 数学 2018-03-06 Micheal Pawliuk , Michael Alexander Waddell

Unwanted variation can be highly problematic and so its detection is often crucial. Relative log expression (RLE) plots are a powerful tool for visualising such variation in high dimensional data. We provide a detailed examination of these…

统计方法学 · 统计学 2018-07-04 Luke C. Gandolfo , Terence P. Speed

Visualization of data is an important step in the understanding of data and the evaluation of statistical models. Topological Data Analysis Ball Mapper (TDABM) after Dlotko (2019), provides a model free means to visualize multivariate…

统计方法学 · 统计学 2025-05-14 Simon Rudkin

A graphical model is an undirected network representing the conditional independence properties between random variables. Graphical modeling has become part and parcel of systems or network approaches to multivariate data, in particular…

统计方法学 · 统计学 2024-08-20 Carel F. W. Peeters , Anders Ellern Bilgrau , Wessel N. van Wieringen

This paper presents a novel theoretical study of the general problem of multiple source adaptation using the notion of Renyi divergence. Our results build on our previous work [12], but significantly broaden the scope of that work in…

机器学习 · 计算机科学 2012-05-14 Yishay Mansour , Mehryar Mohri , Afshin Rostamizadeh

Analysis of sample survey data often requires adjustments to account for missing data in the outcome variables of principal interest. Standard adjustment methods based on item imputation or on propensity weighting factors rely heavily on…

统计方法学 · 统计学 2016-03-08 Wei-Yin Loh , John Eltinge , MoonJung Cho , Yuanzhi Li

Low-frequency time-series (e.g., quarterly data) are often treated as benchmarks for interpolating to higher frequencies, since they generally exhibit greater precision and accuracy in contrast to their high-frequency counterparts (e.g.,…

统计方法学 · 统计学 2026-04-14 Luke Mosley , Kaveh Salehzadeh Nobari , Giuseppe Brandi , Alex Gibberd

The presented work is part of a larger research program dealing with developing tools for coupling biogeochemical models in contaminated landscapes. The specific objective of this article is to provide the researchers a tool to build…

数学软件 · 计算机科学 2020-09-03 Stelian Ion , Dorin Marinescu , Stefan-Gicu Cruceanu , Virgil Iordache

This work presents a guide for the use of some of the functions of the R package "multiColl" for the detection of near multicollinearity. The main contribution, in comparison to other existing packages in R or other econometric software, is…

统计计算 · 统计学 2019-11-01 Román Salmerón , Catalina García , José García

Regression for count data is widely performed by models such as Poisson, negative binomial (NB) and zero-inflated regression. A challenge often faced by practitioners is the selection of the right model to take into account dispersion,…

统计方法学 · 统计学 2018-08-02 Hadeel S. Klakattawi , Veronica Vinciotti , Keming Yu

This work presents a guide for the use of some of the functions of the multiColl package in R for the detection of near-multicollinearity. The main contribution, in comparison to other existing packages in R or other econometric software,…

统计计算 · 统计学 2021-07-08 R. Salmerón , C. B. García , J. García

Methods for extending -- generalizing or transporting -- inferences from a randomized trial to a target population involve conditioning on a large set of covariates that is sufficient for rendering the randomized and non-randomized groups…

统计方法学 · 统计学 2021-10-04 Sarah E Robertson , Jon A Steingrimsson , Issa J Dahabreh

In statistical network analysis, models for binary adjacency matrices satisfying vertex exchangeability are commonly used. However, such models may fail to capture key features of the data-generating process when interactions, rather than…

统计方法学 · 统计学 2025-09-03 Ayoushman Bhattacharya , Nilanjan Chakraborty , Robert Lunde

In this paper, we propose a novel bootstrap algorithm that is more efficient than existing methods for approximating the distribution of the factor-augmented regression estimator for a rotated parameter vector. The regression is augmented…

统计方法学 · 统计学 2025-10-02 Peiyun Jiang , Takashi Yamagata