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Principal component analysis (PCA) is commonly used in genetics to infer and visualize population structure and admixture between populations. PCA is often interpreted in a way similar to inferred admixture proportions, where it is assumed…

统计方法学 · 统计学 2023-02-10 Jan van Waaij , Song Li , Genís Garcia-Erill , Anders Albrechtsen , Carsten Wiuf

The first order behavior of multivariate heavy-tailed random vectors above large radial thresholds is ruled by a limit measure in a regular variation framework. For a high dimensional vector, a reasonable assumption is that the support of…

统计理论 · 数学 2019-06-27 Holger Drees , Anne Sabourin

Test-time adaptation (TTA) has been widely explored to prevent performance degradation when test data differ from the training distribution. However, fully leveraging the rich representations of large pretrained models with minimal…

计算机视觉与模式识别 · 计算机科学 2026-04-15 Sunghyun Baek , Jaemyung Yu , Seunghee Koh , Minsu Kim , Hyeonseong Jeon , Junmo Kim

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

统计方法学 · 统计学 2025-08-22 Zhongyuan Lyu , Ming Yuan

Test-time adaptation (TTA) is an emerging paradigm that addresses distributional shifts between training and testing phases without additional data acquisition or labeling cost; only unlabeled test data streams are used for continual model…

机器学习 · 计算机科学 2023-01-12 Taesik Gong , Jongheon Jeong , Taewon Kim , Yewon Kim , Jinwoo Shin , Sung-Ju Lee

Principal component analysis (PCA) is a widely used unsupervised dimensionality reduction technique in machine learning, applied across various fields such as bioinformatics, computer vision and finance. However, when the response variables…

应用统计 · 统计学 2025-06-25 Theodosios Papazoglou , Guosheng Yin

Prior to the deployment of robotic systems, pre-training the deep-recognition models on all potential visual cases is infeasible in practice. Hence, test-time adaptation (TTA) allows the model to adapt itself to novel environments and…

计算机视觉与模式识别 · 计算机科学 2023-04-18 Junha Song , Kwanyong Park , InKyu Shin , Sanghyun Woo , Chaoning Zhang , In So Kweon

Test time adaptation (TTA) equips deep learning models to handle unseen test data that deviates from the training distribution, even when source data is inaccessible. While traditional TTA methods often rely on entropy as a confidence…

Principal Component Analysis (PCA) is a cornerstone of dimensionality reduction, yet its classical formulation relies critically on second-order moments and is therefore fragile in the presence of heavy-tailed data and impulsive noise.…

机器学习 · 计算机科学 2026-05-05 Mario Sayde , Christopher Khater , Jihad Fahs , Ibrahim Abou-Faycal

Finding informative low-dimensional representations that can be computed efficiently in large datasets is an important problem in data analysis. Recently, contrastive Principal Component Analysis (cPCA) was proposed as a more informative…

机器学习 · 统计学 2022-11-16 Siavash Golkar , David Lipshutz , Tiberiu Tesileanu , Dmitri B. Chklovskii

Test-time adaptation (TTA) intends to adapt the pretrained model to test distributions with only unlabeled test data streams. Most of the previous TTA methods have achieved great success on simple test data streams such as independently…

计算机视觉与模式识别 · 计算机科学 2023-03-27 Longhui Yuan , Binhui Xie , Shuang Li

Principal Component Analysis (PCA) is a well known procedure to reduce intrinsic complexity of a dataset, essentially through simplifying the covariance structure or the correlation structure. We introduce a novel algebraic, model-based…

统计方法学 · 统计学 2021-12-09 Martin Schlather , Felix Reinbott

Continual Test-Time Adaptation (CTTA) seeks to adapt source pre-trained models to continually changing, unseen target domains. While existing CTTA methods assume structured domain changes with uniform durations, real-world environments…

机器学习 · 计算机科学 2025-06-09 Yunbei Zhang , Akshay Mehra , Shuaicheng Niu , Jihun Hamm

Encountering shifted data at test time is a ubiquitous challenge when deploying predictive models. Test-time adaptation (TTA) methods address this issue by continuously adapting a deployed model using only unlabeled test data. While TTA can…

机器学习 · 计算机科学 2025-11-11 Mona Schirmer , Metod Jazbec , Christian A. Naesseth , Eric Nalisnick

Fourier PCA is Principal Component Analysis of a matrix obtained from higher order derivatives of the logarithm of the Fourier transform of a distribution.We make this method algorithmic by developing a tensor decomposition method for a…

机器学习 · 计算机科学 2014-07-01 Navin Goyal , Santosh Vempala , Ying Xiao

Principal component analysis (PCA) is by far the most widespread tool for unsupervised learning with high-dimensional data sets. Its application is popularly studied for the purpose of exploratory data analysis and online process…

应用统计 · 统计学 2019-02-12 Stefania Russo , Guangyu Li , Kris Villez

Dimension reduction is useful for exploratory data analysis. In many applications, it is of interest to discover variation that is enriched in a "foreground" dataset relative to a "background" dataset. Recently, contrastive principal…

统计方法学 · 统计学 2021-05-04 Didong Li , Andrew Jones , Barbara Engelhardt

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

机器学习 · 统计学 2020-08-11 Keishi Sando , Hideitsu Hino

We study the distributed computing setting in which there are multiple servers, each holding a set of points, who wish to compute functions on the union of their point sets. A key task in this setting is Principal Component Analysis (PCA),…

机器学习 · 计算机科学 2014-12-24 Maria-Florina Balcan , Vandana Kanchanapally , Yingyu Liang , David Woodruff

Recently, test-time adaptation (TTA) has been proposed as a promising solution for addressing distribution shifts. It allows a base model to adapt to an unforeseen distribution during inference by leveraging the information from the batch…

机器学习 · 计算机科学 2023-02-07 Tong Wu , Feiran Jia , Xiangyu Qi , Jiachen T. Wang , Vikash Sehwag , Saeed Mahloujifar , Prateek Mittal