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This paper proposes a novel framework for certifying the fairness of predictive models trained on biased data. It draws from query answering for incomplete and inconsistent databases to formulate the problem of consistent range…

机器学习 · 计算机科学 2023-07-31 Jiongli Zhu , Sainyam Galhotra , Nazanin Sabri , Babak Salimi

Existing sequential generalized estimating equation methodology for longitudinal and group-correlated data focuses on narrow hypotheses concerning treatment efficacy and often makes modeling assumptions that impede the desirable robustness…

统计方法学 · 统计学 2026-03-16 Nathan T. Provost , Abdus S. Wahed

Variational inference is a general approach for approximating complex density functions, such as those arising in latent variable models, popular in machine learning. It has been applied to approximate the maximum likelihood estimator and…

统计方法学 · 统计学 2018-04-19 Yen-Chi Chen , Y. Samuel Wang , Elena A. Erosheva

Confirmatory factor analysis (CFA) is a statistical method for identifying and confirming the presence of latent factors among observed variables through the analysis of their covariance structure. Compared to alternative factor models, CFA…

统计方法学 · 统计学 2024-10-08 Yifan Yang , Tianzhou Ma , Chuan Bi , Shuo Chen

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

机器学习 · 计算机科学 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

Principal component analysis (PCA) is a key tool in the field of data dimensionality reduction that is useful for various data science problems. However, many applications involve heterogeneous data that varies in quality due to noise…

机器学习 · 统计学 2023-11-14 Javier Salazar Cavazos , Jeffrey A. Fessler , Laura Balzano

We introduce Principal Component Analysis guided Quantile Sampling (PCA QS), a novel sampling framework designed to preserve both the statistical and geometric structure of large scale datasets. Unlike conventional PCA, which reduces…

统计方法学 · 统计学 2026-01-13 Foo Hui-Mean , Yuan-chin Ivan Chang

Canonical correlation analysis (CCA) is a technique for measuring the association between two multivariate data matrices. A regularized modification of canonical correlation analysis (RCCA) which imposes an $\ell_2$ penalty on the CCA…

统计方法学 · 统计学 2021-07-30 Elena Tuzhilina , Leonardo Tozzi , Trevor Hastie

Functional data analysis is concerned with the analysis of infinite-dimensional data functions. Functional principal component analysis (FPCA) is a key method to obtain finite-dimensional summaries. Consistency of FPCA has been…

统计方法学 · 统计学 2026-04-24 Tim Kutta , Nina Dörnemann , Piotr Kokoszka

Canonical Correlation Analysis (CCA) is a widespread technique for discovering linear relationships between two sets of variables $X \in \mathbb{R}^{n \times p}$ and $Y \in \mathbb{R}^{n \times q}$. In high dimensions however, standard…

统计方法学 · 统计学 2024-05-31 Claire Donnat , Elena Tuzhilina

Representational Similarity Analysis (RSA) is a popular method for analyzing neuroimaging and behavioral data. Here we evaluate the accuracy and reliability of RSA in the context of model selection, and compare it to that of regression.…

统计方法学 · 统计学 2025-11-18 Chuanji Gao , Gang Chen , Svetlana V. Shinkareva , Rutvik H. Desai

Outcome phenotype measurement error is rarely corrected in comparative effect estimation studies in observational pharmacoepidemiology. Quantitative bias analysis (QBA) is a misclassification correction method that algebraically adjusts…

Meta-analysis is a statistical method used in evidence synthesis for combining, analyzing and summarizing studies that have the same target endpoint and aims to derive a pooled quantitative estimate using fixed and random effects models or…

统计方法学 · 统计学 2022-04-25 Ivette Raices Cruz , Matthias C. M. Troffaes , Johan Lindström , Ullrika Sahlin

Principal component analysis (PCA) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and estimation more accurate, when we exploit additional…

信息论 · 计算机科学 2014-06-19 Andrea Montanari , Emile Richard

Research on bias in machine learning algorithms has generally been concerned with the impact of bias on predictive accuracy. We believe that there are other factors that should also play a role in the evaluation of bias. One such factor is…

机器学习 · 计算机科学 2007-05-23 Peter D. Turney

Factor analysis is over a century old, but it is still problematic to choose the number of factors for a given data set. The scree test is popular but subjective. The best performing objective methods are recommended on the basis of…

统计方法学 · 统计学 2015-11-12 A. B. Owen , J. Wang

Causal Abstraction (CA) theory provides a principled framework for relating causal models that describe the same system at different levels of granularity while ensuring interventional consistency between them. Recent methods for learning…

机器学习 · 计算机科学 2026-01-23 Yorgos Felekis , Theodoros Damoulas , Paris Giampouras

Functional principal component analysis (FPCA) is a key tool in the study of functional data, driving both exploratory analyses and feature construction for use in formal modeling and testing procedures. However, existing methods for FPCA…

统计方法学 · 统计学 2026-03-24 Caitrin Murphy , Eric Laber , Rhonda Merwin , Brian Reich , Jake Koerner

A novel approach for comparing quality attributes of different products when there is considerable product-related variability is proposed. In such a case, the whole range of possible realizations must be considered. Looking, for example,…

统计方法学 · 统计学 2024-08-30 Gerhard Gössler , Vera Hofer , Hans Manner , Walter Goessler

Linearizability is the de facto correctness criterion for concurrent data structures. Unfortunately, linearizability imposes a performance penalty which scales linearly in the number of contending threads. Quiescent consistency is an…

编程语言 · 计算机科学 2014-04-29 Radha Jagadeesan , James Riely