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In recent years, Artificial Intelligence techniques have proved to be very successful when applied to problems in physical sciences. Here we apply an unsupervised Machine Learning (ML) algorithm called Principal Component Analysis (PCA) as…

Industrial Control Systems (ICS) rely heavily on Programmable Logic Controllers (PLCs) to manage critical infrastructure, yet analyzing PLC executables remains challenging due to diverse proprietary compilers and limited access to source…

The problem of principle component analysis (PCA) is traditionally solved by spectral or algebraic methods. We show how computing the leading principal component could be reduced to solving a \textit{small} number of well-conditioned {\it…

最优化与控制 · 数学 2015-11-26 Dan Garber , Elad Hazan

We consider multi-class classification problems for high dimensional data. Following the idea of reduced-rank linear discriminant analysis (LDA), we introduce a new dimension reduction tool with a flavor of supervised principal component…

统计方法学 · 统计学 2017-03-28 Yue Selena Niu , Ning Hao , Bin Dong

The rise of AI-powered classification techniques has ushered in a new era for data-driven Fault Detection and Diagnosis in smart building systems. While extensive research has championed supervised FDD approaches, the real-world application…

系统与控制 · 电气工程与系统科学 2023-12-19 Farivar Rajabi , J. J. McArthur

This article introduces a novel approach to the classification of categorical time series under the supervised learning paradigm. To construct meaningful features for categorical time series classification, we consider two relevant…

统计方法学 · 统计学 2021-02-05 Zeda Li , Scott A. Bruce , Tian Cai

The high efficiency video coding (HEVC) standard and the joint exploration model (JEM) codec incorporate 35 and 67 intra prediction modes (IPMs) respectively, which are essential for efficient compression of Intra coded blocks. These IPMs…

图像与视频处理 · 电气工程与系统科学 2023-10-10 Kevin Reuzé , Wassim Hamidouche , Pierrick Philippe , Olivier Déforges

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

计算机视觉与模式识别 · 计算机科学 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

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

The potential impact of quantum machine learning algorithms on industrial applications remains an exciting open question. Conventional methods for encoding classical data into quantum computers are not only too costly for a potential…

量子物理 · 物理学 2024-03-06 Kevin Shen , Bernhard Jobst , Elvira Shishenina , Frank Pollmann

A prediscretisation of numerical attributes which is required by some rule learning algorithms is a source of inefficiencies. This paper describes new rule tuning steps that aim to recover lost information in the discretisation and new…

机器学习 · 统计学 2023-06-05 Tomas Kliegr , Ebroul Izquierdo

Data encoding is a fundamental step in emerging computing paradigms, particularly in stochastic computing (SC) and hyperdimensional computing (HDC), where it plays a crucial role in determining the overall system performance and hardware…

新兴技术 · 计算机科学 2025-01-07 Mehran Shoushtari Moghadam , Sercan Aygun , M. Hassan Najafi

Principal component analysis (PCA) is a classical dimension reduction method which projects data onto the principal subspace spanned by the leading eigenvectors of the covariance matrix. However, it behaves poorly when the number of…

统计理论 · 数学 2013-05-27 Zongming Ma

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…

定量方法 · 定量生物学 2018-10-18 Luigi Leonardo Palese

Deep learning approaches process data in a layer-by-layer way with intermediate (or latent) features. We aim at designing a general solution to optimize the latent manifolds to improve the performance on classification, segmentation,…

机器学习 · 计算机科学 2025-06-03 Yida Wang , David Joseph Tan , Nassir Navab , Federico Tombari

We present three generalisations of Kernel Principal Components Analysis (KPCA) which incorporate knowledge of the class labels of a subset of the data points. The first, MV-KPCA, penalises within class variances similar to Fisher…

机器学习 · 计算机科学 2010-08-10 Christian Walder , Ricardo Henao , Morten Mørup , Lars Kai Hansen

This paper proposes a hierarchical approximate-factor approach to analyzing high-dimensional, large-scale heterogeneous time series data using distributed computing. The new method employs a multiple-fold dimension reduction procedure using…

统计方法学 · 统计学 2022-04-20 Zhaoxing Gao , Ruey S. Tsay

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

机器学习 · 统计学 2012-03-07 Brian McWilliams , Giovanni Montana

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…

机器学习 · 统计学 2021-05-31 Jingxin Zhang , Donghua Zhou , Maoyin Chen

We introduce primed-PCA (pPCA), a two-step algorithm for speeding up the approximation of principal components. This algorithm first runs any approximate-PCA method to get an initial estimate of the principal components (priming), and then…

机器学习 · 计算机科学 2022-05-23 Bálint Máté , François Fleuret