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Tensor Robust Principal Component Analysis (TRPCA) holds a crucial position in machine learning and computer vision. It aims to recover underlying low-rank structures and to characterize the sparse structures of noise. Current approaches…

数值分析 · 数学 2026-01-15 Chao Wang , Huiwen Zheng , Raymond Chan , Youwei Wen

Machine Learning models are prone to fail when test data are different from training data, a situation often encountered in real applications known as distribution shift. While still valid, the training-time knowledge becomes less…

机器学习 · 计算机科学 2022-09-14 Thomas Cordier , Victor Bouvier , Gilles Hénaff , Céline Hudelot

EEG technology finds applications in several domains. Currently, most EEG systems require subjects to wear several electrodes on the scalp to be effective. However, several channels might include noisy information, redundant signals, induce…

信号处理 · 电气工程与系统科学 2021-06-22 Michela C. Massi , Francesca Ieva

Impact of EEG biofeedback on event-related potentials (ERPs) in attention-deficit hyperactivity (ADHD) children. Introduction: ADHD is one of the most widely spread condition of school aged children affecting 5% of children of this age.The…

神经元与认知 · 定量生物学 2011-01-31 Sophio Bakhtadze , Marine Janelidze , Nana Khachapuridze

Encoding models enable measurement of how our brains represent sensory inputs using electro-and magneto-encephalography (MEEG). Evaluating how closely encoding models reflect the underlying brain functions is a crucial premise for model…

神经元与认知 · 定量生物学 2026-04-17 Giovanni M. Di Liberto

Tensor classification has become increasingly crucial in statistics and machine learning, with applications spanning neuroimaging, computer vision, and recommendation systems. However, the high dimensionality of tensors presents significant…

统计方法学 · 统计学 2024-09-24 Elynn Chen , Yuefeng Han , Jiayu Li

Practical brain-machine interfaces have been widely studied to accurately detect human intentions using brain signals in the real world. However, the electroencephalography (EEG) signals are distorted owing to the artifacts such as walking…

信号处理 · 电气工程与系统科学 2020-05-19 Young-Eun Lee , Minji Lee , Seong-Whan Lee

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

Electroencephalography (EEG)-based emotion recognition suffers from severe performance degradation when models are transferred across heterogeneous datasets due to physiological variability, experimental paradigm differences, and device…

机器学习 · 计算机科学 2026-03-31 Guangli Li , Canbiao Wu , Na Tian , Li Zhang , Zhen Liang

In this paper, we study the problem of computing a Principal Component Analysis of data affected by Poisson noise. We assume samples are drawn from independent Poisson distributions. We want to estimate principle components of a fixed…

统计方法学 · 统计学 2021-05-25 Toby Kenney , Tianshu Huang , Hong Gu

This paper compares two neural network input selection schemes, the Principal Component Analysis (PCA) and the Automatic Relevance Determination (ARD) based on Mac-Kay's evidence framework. The PCA takes all the input data and projects it…

计算工程、金融与科学 · 计算机科学 2007-05-23 L. Mdlazi , T. Marwala , C. J. Stander , C. Scheffer , P. S. Heyns

Principal component analysis (PCA) is recognised as a quintessential data analysis technique when it comes to describing linear relationships between the features of a dataset. However, the well-known sensitivity of PCA to non-Gaussian…

机器学习 · 统计学 2019-10-28 Jean P. Chereau , Bruno Scalzo Dees , Danilo P. Mandic

Many machine learning systems are vulnerable to small perturbations made to inputs either at test time or at training time. This has received much recent interest on the empirical front due to applications where reliability and security are…

数据结构与算法 · 计算机科学 2021-08-16 Pranjal Awasthi , Vaggos Chatziafratis , Xue Chen , Aravindan Vijayaraghavan

Principal component analysis (PCA) is often used to reduce the dimension of data by selecting a few orthonormal vectors that explain most of the variance structure of the data. L1 PCA uses the L1 norm to measure error, whereas the…

机器学习 · 统计学 2020-09-04 Young Woong Park , Diego Klabjan

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

最优化与控制 · 数学 2025-12-02 Ryan Cory-Wright , Jean Pauphilet

We consider streaming, one-pass principal component analysis (PCA), in the high-dimensional regime, with limited memory. Here, $p$-dimensional samples are presented sequentially, and the goal is to produce the $k$-dimensional subspace that…

机器学习 · 统计学 2013-07-02 Ioannis Mitliagkas , Constantine Caramanis , Prateek Jain

In recent work, we proposed a distributed Banach-Picard iteration (DBPI) that allows a set of agents, linked by a communication network, to find a fixed point of a locally contractive (LC) map that is the average of individual maps held by…

最优化与控制 · 数学 2022-01-27 Francisco L. Andrade , Mário A. T. Figueiredo , João Xavier

Artificial neural networks that learn to perform Principal Component Analysis (PCA) and related tasks using strictly local learning rules have been previously derived based on the principle of similarity matching: similar pairs of inputs…

统计计算 · 统计学 2018-11-06 Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

The performance of speech and events recognition systems significantly improved recently thanks to deep learning methods. However, some of these tasks remain challenging when algorithms are deployed on robots due to the unseen mechanical…

音频与语音处理 · 电气工程与系统科学 2023-03-08 Pierre-Olivier Lagacé , François Ferland , François Grondin

Of particular interest is to discover useful representations solely from observations in an unsupervised generative manner. However, the question of whether existing normalizing flows provide effective representations for downstream tasks…

计算机视觉与模式识别 · 计算机科学 2022-08-24 Shen Li , Bryan Hooi