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公平典型相关分析

Fair Canonical Correlation Analysis.

作者信息

Zhou Zhuoping, Tarzanagh Davoud Ataee, Hou Bojian, Tong Boning, Xu Jia, Feng Yanbo, Long Qi, Shen Li

机构信息

University of Pennsylvania.

出版信息

Adv Neural Inf Process Syst. 2023 Dec;36:3675-3705.

PMID:38665178
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11040228/
Abstract

This paper investigates fairness and bias in Canonical Correlation Analysis (CCA), a widely used statistical technique for examining the relationship between two sets of variables. We present a framework that alleviates unfairness by minimizing the correlation disparity error associated with protected attributes. Our approach enables CCA to learn global projection matrices from all data points while ensuring that these matrices yield comparable correlation levels to group-specific projection matrices. Experimental evaluation on both synthetic and real-world datasets demonstrates the efficacy of our method in reducing correlation disparity error without compromising CCA accuracy.

摘要

本文研究了典型相关分析(CCA)中的公平性和偏差问题,CCA是一种广泛用于检验两组变量之间关系的统计技术。我们提出了一个框架,通过最小化与受保护属性相关的相关性差异误差来减轻不公平性。我们的方法使CCA能够从所有数据点学习全局投影矩阵,同时确保这些矩阵产生与特定组投影矩阵相当的相关性水平。在合成数据集和真实世界数据集上的实验评估证明了我们的方法在不影响CCA准确性的情况下减少相关性差异误差的有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/689ac144c8cb/nihms-1937785-f0006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/00e2e0741f64/nihms-1937785-f0003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/ce7ecd07d591/nihms-1937785-f0004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/6c168cc84fc0/nihms-1937785-f0005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/689ac144c8cb/nihms-1937785-f0006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/00e2e0741f64/nihms-1937785-f0003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/ce7ecd07d591/nihms-1937785-f0004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/6c168cc84fc0/nihms-1937785-f0005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f015/11040228/689ac144c8cb/nihms-1937785-f0006.jpg

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Proc Mach Learn Res. 2024 May;238:2854-2862.
2
Fairness-Aware Class Imbalanced Learning on Multiple Subgroups.多子群上的公平感知类不平衡学习
Proc Mach Learn Res. 2023 Aug;216:2123-2133.
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Fairness and bias correction in machine learning for depression prediction across four study populations.机器学习在预测抑郁症中的公平性和偏差校正——跨越四个研究人群。
Med Image Anal. 2024 Oct;97:103231. doi: 10.1016/j.media.2024.103231. Epub 2024 Jun 14.
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Preference matrix guided sparse canonical correlation analysis for mining brain imaging genetic associations in Alzheimer's disease.偏好矩阵引导的稀疏典型相关分析在阿尔茨海默病脑影像遗传学关联中的应用。
Methods. 2023 Oct;218:27-38. doi: 10.1016/j.ymeth.2023.07.007. Epub 2023 Jul 27.
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An Online Riemannian PCA for Stochastic Canonical Correlation Analysis.用于随机典型相关分析的在线黎曼主成分分析
Adv Neural Inf Process Syst. 2021 Dec;34:14056-14068.
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Quantifying representativeness in randomized clinical trials using machine learning fairness metrics.使用机器学习公平性指标量化随机临床试验中的代表性。
JAMIA Open. 2021 Sep 24;4(3):ooab077. doi: 10.1093/jamiaopen/ooab077. eCollection 2021 Jul.
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Tensor canonical correlation analysis.张量典型相关分析
Stat. 2020;8(1). doi: 10.1002/sta4.253. Epub 2020 Jan 2.
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A technical review of canonical correlation analysis for neuroscience applications.神经科学应用中的典型相关分析技术综述。
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Brain Imaging Genomics: Integrated Analysis and Machine Learning.脑成像基因组学:综合分析与机器学习
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