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Under stringent model type and variable distribution assumptions, differentiable score-based causal discovery methods learn a directed acyclic graph (DAG) from observational data by evaluating candidate graphs over an average score…

机器学习 · 计算机科学 2023-03-07 An Zhang , Fangfu Liu , Wenchang Ma , Zhibo Cai , Xiang Wang , Tat-seng Chua

Several methods have been proposed for correcting the elevation bias in digital elevation models (DEMs) for example, linear regression. Nowadays, supervised machine learning enables the modelling of complex relationships between variables,…

机器学习 · 计算机科学 2024-02-13 Chukwuma Okolie , Adedayo Adeleke , Julian Smit , Jon Mills , Iyke Maduako , Caleb Ogbeta

The bridge regression estimator generalizes both ridge regression and LASSO estimators. Since it minimizes the sum of squared residuals with a $L_{\gamma }$ penalty, this estimator is typically not robust against outliers in the data. There…

统计方法学 · 统计学 2015-11-26 Olcay Arslan

A model for cross-over designs with repeated measures within each period was developed. It is obtained using an extension of generalized estimating equations that includes a parametric component to model treatment effects and a…

统计方法学 · 统计学 2023-03-21 N. A. Cruz , O. O. Melo , C. A. Martinez

This work gives a simultaneous analysis of both the ordinary least squares estimator and the ridge regression estimator in the random design setting under mild assumptions on the covariate/response distributions. In particular, the analysis…

统计理论 · 数学 2014-03-26 Daniel Hsu , Sham M. Kakade , Tong Zhang

While shrinkage is essential in high-dimensional settings, its use for low-dimensional regression-based prediction has been debated. It reduces variance, often leading to improved prediction accuracy. However, it also inevitably introduces…

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

统计方法学 · 统计学 2020-05-20 Li-Chun Zhang

The Horvitz-Thompson (HT), the Rao-Hartley-Cochran (RHC) and the generalized regression (GREG) estimators of the finite population mean are considered, when the observations are from an infinite dimensional space. We compare these…

统计理论 · 数学 2023-05-25 Anurag Dey , Probal Chaudhuri

We introduce path-sampled integrated gradients (PS-IG), a framework that generalizes feature attribution by computing the expected value over baselines sampled along the linear interpolation path. We prove that PS-IG is mathematically…

机器学习 · 计算机科学 2026-04-17 Firuz Kamalov , Fadi Thabtah , R. Sivaraj , Neda Abdelhamid

The weighted spanning tree enumerator of a graph $G$ with weighted edges is the sum of the products of edge weights over all the spanning trees in $G$. In the special case that all of the edge weights equal $1$, the weighted spanning tree…

组合数学 · 数学 2019-09-04 Steven Klee , Matthew T. Stamps

Averaging predictions of a deep ensemble of networks is apopular and effective method to improve predictive performance andcalibration in various benchmarks and Kaggle competitions. However, theruntime and training cost of deep ensembles…

计算机视觉与模式识别 · 计算机科学 2022-11-09 Timo Sämann , Ahmed Mostafa Hammam , Andrei Bursuc , Christoph Stiller , Horst-Michael Groß

Linear mixed models are able to handle an extraordinary range of complications in regression-type analyses. Their most common use is to account for within-subject correlation in longitudinal data analysis. They are also the standard vehicle…

统计理论 · 数学 2007-06-13 Y. Zhao , J. Staudenmayer , B. A. Coull , M. P. Wand

As of 2005, sampling has been incorporated in all major database systems. While efficient sampling techniques are realizable, determining the accuracy of an estimate obtained from the sample is still an unresolved problem. In this paper, we…

数据库 · 计算机科学 2013-07-02 Supriya Nirkhiwale , Alin Dobra , Chris Jermaine

A basic principle in the design of observational studies is to approximate the randomized experiment that would have been conducted under controlled circumstances. Now, linear regression models are commonly used to analyze observational…

统计方法学 · 统计学 2022-07-08 Ambarish Chattopadhyay , Jose R. Zubizarreta

In this paper we establish quantitative results about the bridges of the Langevin dynamics and the associated reciprocal processes. They include an equivalence between gradient estimates for bridge semigroups and couplings, comparison…

概率论 · 数学 2016-12-30 Giovanni Conforti , Max Von Renesse

Comparative statistical properties of Parkinson, Garman-Klass, Roger-Satchell and bridge oscillation estimators are discussed. Point and interval estimations, related with mentioned estimators are considered

统计金融 · 定量金融 2012-02-21 Alexander Saichev , Svetlana Lapinova

When the regressors of a econometric linear model are nonorthogonal, it is well known that their estimation by ordinary least squares can present various problems that discourage the use of this model. The ridge regression is the most…

统计方法学 · 统计学 2024-07-04 Román Salmerón Gómez , Catalina García García , Guillermo Hortal Reina

Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

统计方法学 · 统计学 2024-03-25 Lingxiao Wang

Linear structural equation models relate the components of a random vector using linear interdependencies and Gaussian noise. Each such model can be naturally associated with a mixed graph whose vertices correspond to the components of the…

Recent advances in deep learning have achieved impressive gains in classification accuracy on a variety of types of data, including images and text. Despite these gains, however, concerns have been raised about the calibration, robustness,…

机器学习 · 计算机科学 2018-11-20 Dallas Card , Michael Zhang , Noah A. Smith