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Incorporating covariates into functional principal component analysis (PCA) can substantially improve the representation efficiency of the principal components and predictive performance. However, many existing functional PCA methods do not…

Methodology · Statistics 2023-08-22 Fei Ding , Shiyuan He , David E. Jones , Jianhua Z. Huang

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…

Computation · Statistics 2018-11-06 Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

Privacy-preserving data mining has become an important topic. People have built several multi-party-computation (MPC)-based frameworks to provide theoretically guaranteed privacy, the poor performance of real-world algorithms have always…

Cryptography and Security · Computer Science 2021-05-18 Xiaoyu Fan , Guosai Wang , Kun Chen , Xu He , Wei Xu

Principal component analysis (PCA) is a widely used dimension reduction tool in the analysis of many kind of high-dimensional data. It is used in signal processing, mechanical engineering, psychometrics, and other fields under different…

Methodology · Statistics 2014-01-15 Ngoc Mai Tran , Maria Osipenko , Wolfgang Karl Haerdle

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…

Methodology · Statistics 2023-02-10 Jan van Waaij , Song Li , Genís Garcia-Erill , Anders Albrechtsen , Carsten Wiuf

Kernel principal component analysis (KPCA) is a well-recognized nonlinear dimensionality reduction method that has been widely used in nonlinear fault detection tasks. As a kernel trick-based method, KPCA inherits two major problems. First,…

Machine Learning · Computer Science 2024-10-28 Zelin Ren , Xuebing Yang , Yuchen Jiang , Wensheng Zhang

Network Intrusion Detection (NID) remains a key area of research within the information security community, while also being relevant to Machine Learning (ML) practitioners. The latter generally aim to detect attacks using network features,…

Machine Learning · Computer Science 2024-11-19 Charles Westphal , Stephen Hailes , Mirco Musolesi

Industrial Cyber-Physical Systems (CPS) are sensitive infrastructure from both safety and economics perspectives, making their reliability critically important. Machine Learning (ML), specifically deep learning, is increasingly integrated…

Machine Learning · Computer Science 2026-04-09 Annemarie Jutte , Uraz Odyurt

We propose localized functional principal component analysis (LFPCA), looking for orthogonal basis functions with localized support regions that explain most of the variability of a random process. The LFPCA is formulated as a convex…

Methodology · Statistics 2015-01-21 Kehui Chen , Jing Lei

Principal component analysis (PCA) is a most frequently used statistical tool in almost all branches of data science. However, like many other statistical tools, there is sometimes the risk of misuse or even abuse. In this paper, we…

Methodology · Statistics 2021-08-12 Xinyu Zhang , Howell Tong

Decision Support Systems (DSS) in complex installations play a crucial role in assisting operators in decision making during abnormal transients and process disturbances, by actively displaying the status of the system and recording events,…

Neural and Evolutionary Computing · Computer Science 2019-10-08 Abiodun Ayodeji , Yong-kuo Liu

The focus of this work is on Statistical Process Control (SPC) of a manufacturing process based on available measurements. Two important applications of SPC in industrial settings are fault detection and diagnosis (FDD). In this work a deep…

Machine Learning · Computer Science 2022-11-21 Piyush Agarwal , Melih Tamer , Hector Budman

The extraordinary advancements in neuroscientific technology for brain recordings over the last decades have led to increasingly complex spatio-temporal datasets. To reduce oversimplifications, new models have been developed to be able to…

Methodology · Statistics 2020-09-22 Nicolo' Margaritella , Vanda Inacio , Ruth King

Third-generation artificial neural networks, Spiking Neural Networks (SNNs), can be efficiently implemented on hardware. Their implementation on neuromorphic chips opens a broad range of applications, such as machine learning-based…

Neural and Evolutionary Computing · Computer Science 2023-11-07 Elisa Nguyen , Meike Nauta , Gwenn Englebienne , Christin Seifert

Predicting scalar outcomes using functional predictors is a classic problem in functional data analysis. In many applications, however, only specific locations or time-points of the functional predictors have an impact on the outcome. Such…

Statistics Theory · Mathematics 2020-07-14 Dominik Poß , Dominik Liebl , Alois Kneip , Hedwig Eisenbarth , Tor D. Wager , Lisa Feldman Barrett

Even as deep neural networks have become very effective for tasks in vision and perception, it remains difficult to explain and debug their behavior. In this paper, we present a programmatic and semantic approach to explaining,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Edward Kim , Divya Gopinath , Corina Pasareanu , Sanjit Seshia

Brain can recognize different objects as ones that it has experienced before. The recognition accuracy and its processing time depend on task properties such as viewing condition, level of noise and etc. Recognition accuracy can be well…

Neurons and Cognition · Quantitative Biology 2018-11-27 Hamed Heidari Gorji , Sajjad Zabbah , Reza Ebrahimpour

Principal Component Analysis (PCA) is a ubiquitous tool with many applications in machine learning including feature construction, subspace embedding, and outlier detection. In this paper, we present an algorithm for computing the top…

Machine Learning · Computer Science 2013-10-25 Nikos Karampatziakis , Paul Mineiro

Principal component analysis (PCA) is a classical feature extraction method, but it may be adversely affected by outliers, resulting in inaccurate learning of the projection matrix. This paper proposes a robust method to estimate both the…

Machine Learning · Computer Science 2024-08-23 Yingzhuo Deng , Ke Hu , Bo Li , Yao Zhang

Feature construction can contribute to comprehensibility and performance of machine learning models. Unfortunately, it usually requires exhaustive search in the attribute space or time-consuming human involvement to generate meaningful…

Machine Learning · Computer Science 2023-01-24 Boštjan Vouk , Matej Guid , Marko Robnik-Šikonja