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When deploying deep neural networks on robots or other physical systems, the learned model should reliably quantify predictive uncertainty. A reliable uncertainty allows downstream modules to reason about the safety of its actions. In this…

机器学习 · 计算机科学 2024-10-30 Simon Kristoffersson Lind , Ziliang Xiong , Per-Erik Forssén , Volker Krüger

The importance of exploring a potential integration among surveys has been acknowledged in order to enhance effectiveness and minimize expenses. In this work, we employ the alignment method to combine information from two different surveys…

统计方法学 · 统计学 2024-04-09 Vasilis Chasiotis , Dimitris Karlis

The Seemingly Unrelated Regressions (SUR) model is a wide used estimation procedure in econometrics, insurance and finance, where very often, the regression model contains more than one equation. Unknown parameters, regression coefficients…

统计方法学 · 统计学 2021-07-05 Giovanni Saraceno , Fatemah Alqallaf , Claudio Agostinelli

Shrinkage estimators of covariance are an important tool in modern applied and theoretical statistics. They play a key role in regularized estimation problems, such as ridge regression (aka Tykhonov regularization), regularized discriminant…

统计理论 · 数学 2011-05-10 Noureddine El Karoui , Holger Koesters

One of the most popular class of tests for independence between two random variables is the general class of rank statistics which are invariant under permutations. This class contains Spearman's coefficient of rank correlation statistic,…

统计计算 · 统计学 2009-02-04 Ehab F. Abd-Elfattah

Graphical models are widely used to model stochastic dependences among large collections of variables. We introduce a new method of estimating undirected conditional independence graphs based on the score matching loss, introduced by…

统计方法学 · 统计学 2016-03-24 Lina Lin , Mathias Drton , Ali Shojaie

The growing use of high-throughput sequencing (HTS) has enabled the large-scale production of compositional count data, driving progress in microbiome research. However, such count data are often high-dimensional, over-dispersed, and…

其他统计学 · 统计学 2026-05-22 Wenqi Tang , Kamila Fačevicová , Klaus Nordhausen , Sara Taskinen

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

统计方法学 · 统计学 2025-08-01 Jeonghwa Lee , Chloe Breece

Gauge-flation model at zeroth order in cosmological perturbation theory offers an interesting scenario for realizing inflation within a particle physics context, allowing us to investigate interesting possible connections between inflation…

广义相对论与量子宇宙学 · 物理学 2016-07-08 Carlos M. Nieto , Yeinzon Rodriguez

The application of machine learning models can be significantly impeded by the occurrence of distributional shifts, as the assumption of homogeneity between the population of training and testing samples in machine learning and statistics…

机器学习 · 统计学 2023-06-06 Wenlu Tang , Zicheng Liu

We discuss both theoretical tools to verify gauge invariance in numerical calculations of cross sections and the consistency of approximation schemes used in realistic calculations. A finite set of Ward Identities for 4 point scattering…

高能物理 - 唯象学 · 物理学 2007-05-23 Christian Schwinn

In classification tasks, the long-tailed minority classes usually offer the predictions that are most important. Yet these classes consistently exhibit low accuracies, whereas a few high-performing classes dominate the game. We pursue a…

机器学习 · 计算机科学 2026-03-18 Ruixi Lin

In the current insurance literature, prediction of insurance claims in the regression problem is often performed with a statistical model. This model-based approach may potentially suffer from several drawbacks: (i) model misspecification,…

机器学习 · 统计学 2025-09-30 Liang Hong

The statistical matching problem is a data integration problem with structured missing data. The general form involves the analysis of multiple datasets that only have a strict subset of variables jointly observed across all datasets. The…

统计方法学 · 统计学 2019-04-01 Daniel Ahfock , Saumyadipta Pyne , Geoffrey J. McLachlan

This paper proposes different methods to consistently detect multiple breaks in copula-based dependence measures, mainly focusing on Spearman's $\rho$. The leading model is a factor copula model due to its usefulness for analyzing data in…

统计方法学 · 统计学 2022-06-13 Marvin Borsch , Alexander Mayer , Dominik Wied

We provide methods to validate and compare sensor outputs, or inference algorithms applied to sensor data, by adapting statistical scoring rules. The reported output should either be in the form of a prediction interval or of a parameter…

数据分析、统计与概率 · 物理学 2015-07-07 A. D. Martin , T. C. A. Molteno , M. Parry

Count-compositional data arise in many different fields, including high-throughput sequencing experiments, ecological surveys, and palaeoclimate studies, where a common, important goal is to understand how covariates relate to the observed…

统计方法学 · 统计学 2026-04-10 André F. B. Menezes , Andrew C. Parnell , Keefe Murphy

In this paper we study the asymptotics of linear regression in settings with non-Gaussian covariates where the covariates exhibit a linear dependency structure, departing from the standard assumption of independence. We model the covariates…

机器学习 · 统计学 2024-12-10 Behrad Moniri , Hamed Hassani

A multivariate version of Spearman's rho for testing independence is considered. Its asymptotic efficiency is calculated under a general distribution model specified by the dependence function. The efficiency comparison study that involves…

概率论 · 数学 2009-06-08 Alexander Nazarov , Natalia Stepanova

We introduce a novel approach to estimation problems in settings with missing data. Our proposal -- the Correlation-Assisted Missing data (CAM) estimator -- works by exploiting the relationship between the observations with missing features…

统计方法学 · 统计学 2020-03-02 Timothy I. Cannings , Yingying Fan