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Principal component analysis (PCA) is a widespread technique for data analysis that relies on the covariance-correlation matrix of the analyzed data. However to properly work with high-dimensional data, PCA poses severe mathematical…

Quantitative Methods · Quantitative Biology 2018-10-18 Luigi Leonardo Palese

Recently years, the attempts on distilling mobile data into useful knowledge has been led to the deployment of machine learning algorithms at the network edge. Principal component analysis (PCA) is a classic technique for extracting the…

Information Theory · Computer Science 2022-04-04 Zezhong Zhang , Guangxu Zhu , Rui Wang , Vincent K. N. Lau , Kaibin Huang

This tutorial-style overview article examines the fundamental principles and methods of robustness, using wireless sensing and communication (WSC) as the narrative and exemplifying framework. First, we formalize the conceptual and…

Signal Processing · Electrical Eng. & Systems 2026-02-11 Shixiong Wang , Wei Dai , Li-Chun Wang , Geoffrey Ye Li

Throughput-oriented computing via co-running multiple applications in the same machine has been widely adopted to achieve high hardware utilization and energy saving on modern supercomputers and data centers. However, efficiently co-running…

Performance · Computer Science 2023-03-29 Hao Xu , Shuang Song , Ze Mao

This paper addresses the challenge of understanding the waiting dependencies between the threads and hardware resources required to complete a task. The objective is to improve software performance by detecting the underlying bottlenecks…

Software Engineering · Computer Science 2021-03-09 Naser Ezzati-Jivan , Quentin Fournier , Michel R. Dagenais , Abdelwahab Hamou-Lhadj

Compound AI applications, composed from interactions between Large Language Models (LLMs), Machine Learning (ML) models, external tools and data sources are quickly becoming an integral workload in datacenters. Their diverse sub-components…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Paramuth Samuthrsindh , Angel Cervantes , Varun Gohil , Gohar Irfan Chaudhry , Christina Delimitrou , Adam Belay

We present quasicyclic principal component analysis (QPCA), a generalization of principal component analysis (PCA), that determines an optimized basis for a dataset in terms of families of shift-orthogonal principal vectors. This is of…

Numerical Analysis · Mathematics 2025-02-11 Susanna E. Rumsey , Stark C. Draper , Frank R. Kschischang

We present a new straightforward principal component analysis (PCA) method based on the diagonalization of the weighted variance-covariance matrix through two spectral decomposition methods: power iteration and Rayleigh quotient iteration.…

Instrumentation and Methods for Astrophysics · Physics 2014-12-16 Ludovic Delchambre

Principal component analysis (PCA) is a fundamental tool for analyzing multivariate data. Here the focus is on dimension reduction to the principal subspace, characterized by its projection matrix. The classical principal subspace can be…

Methodology · Statistics 2026-05-29 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

Principal component analysis (PCA) is often used for analyzing data in the most diverse areas. In this work, we report an integrated approach to several theoretical and practical aspects of PCA. We start by providing, in an intuitive and…

Computational Engineering, Finance, and Science · Computer Science 2021-06-09 Felipe L. Gewers , Gustavo R. Ferreira , Henrique F. de Arruda , Filipi N. Silva , Cesar H. Comin , Diego R. Amancio , Luciano da F. Costa

We propose a novel topic discovery algorithm for unlabeled images based on the bag-of-words (BoW) framework. We first extract a dictionary of visual words and subsequently for each image compute a visual word occurrence histogram. We view…

Computer Vision and Pattern Recognition · Computer Science 2013-11-07 Martin Takáč , Selin Damla Ahipaşaoğlu , Ngai-Man Cheung , Peter Richtárik

Designing generalized in-memory computing (IMC) hardware that efficiently supports a variety of workloads requires extensive design space exploration, which is infeasible to perform manually. Optimizing hardware individually for each…

Hardware Architecture · Computer Science 2025-02-04 Olga Krestinskaya , Mohammed E. Fouda , Ahmed Eltawil , Khaled N. Salama

Sparse matrix computation is crucial in various modern applications, including large-scale graph analytics, deep learning, and recommender systems. The performance of sparse kernels varies greatly depending on the structure of the input…

Hardware Architecture · Computer Science 2024-07-31 Francesco Sgherzi , Marco Siracusa , Ivan Fernandez , Adrià Armejach , Miquel Moretó

In the recent years, scientific workflows gained more and more popularity. In scientific workflows, tasks are typically treated as black boxes. Dealing with their complex interrelations to identify optimization potentials and bottlenecks is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Ansgar Lößer , Joel Witzke , Florian Schintke , Björn Scheuermann

Principal components analysis (PCA) is a well-known technique for approximating a tabular data set by a low rank matrix. Here, we extend the idea of PCA to handle arbitrary data sets consisting of numerical, Boolean, categorical, ordinal,…

Machine Learning · Statistics 2015-05-06 Madeleine Udell , Corinne Horn , Reza Zadeh , Stephen Boyd

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…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

The Western Electricity Coordinating Council (WECC) composite load model is a newly developed load model that has drawn great interest from the industry. To analyze its dynamic characteristics with both mathematical and engineering rigor, a…

Optimization and Control · Mathematics 2019-08-20 Zixiao Ma , Zhaoyu Wang , Yishen Wang , Ruisheng Diao , Di Shi

A dynamical system can be regarded as an information processing apparatus that encodes input streams from the external environment to its state and processes them through state transitions. The information processing capacity (IPC) is an…

Machine Learning · Computer Science 2021-05-31 Tomoyuki Kubota , Hirokazu Takahashi , Kohei Nakajima

Optimal power flow (OPF) is a key tool for planning and operations in energy grids. The line-flow constraints, generator loading effect, piece-wise cost functions, emission, and voltage quality cost make the optimization model non-convex…

Optimization and Control · Mathematics 2019-09-20 Alireza Barzegar , Ali Sadollah , Rong Su

For multimode processes, one generally establishes local monitoring models corresponding to local modes. However, the significant features of previous modes may be catastrophically forgotten when a monitoring model for the current mode is…

Machine Learning · Statistics 2021-05-31 Jingxin Zhang , Donghua Zhou , Maoyin Chen