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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 mixture of factor analyzers (MFA) model provides a powerful tool for analyzing high-dimensional data as it can reduce the number of free parameters through its factor-analytic representation of the component covariance matrices. This…

Methodology · Statistics 2013-07-09 Tsung-I Lin , Geoffrey J. McLachlan , Sharon X. Lee

Linear principal component analysis (PCA) can be extended to a nonlinear PCA by using artificial neural networks. But the benefit of curved components requires a careful control of the model complexity. Moreover, standard techniques for…

Machine Learning · Computer Science 2012-04-04 Matthias Scholz

In computer chip manufacturing, the study of etch patterns on silicon wafers, or metrology, occurs on the nano-scale and is therefore subject to large variation from small, yet significant, perturbations in the manufacturing environment. An…

Machine Learning · Computer Science 2019-10-23 Jack Kenney , John Valcore , Scott Riggs , Edward Rietman

In this paper, we introduce a novel high-dimensional Factor-Adjusted sparse Partially Linear regression Model (FAPLM), to integrate the linear effects of high-dimensional latent factors with the nonparametric effects of low-dimensional…

Methodology · Statistics 2025-01-14 Yanmei Shi , Meiling Hao , Yanlin Tang , Xu Guo

The Bayesian approach to feature extraction, known as factor analysis (FA), has been widely studied in machine learning to obtain a latent representation of the data. An adequate selection of the probabilities and priors of these bayesian…

Machine Learning · Statistics 2020-01-27 Carlos Sevilla-Salcedo , Vanessa Gómez-Verdejo , Pablo M. Olmos

The aim is to identify faulty predicates which have strong effect on program failure. Statistical debugging techniques are amongst best methods for pinpointing defects within the program source code. However, they have some drawbacks. They…

Software Engineering · Computer Science 2016-12-20 Farid Feyzi , Esmaeel Nikravan , Saeed Parsa

Since high data volume and complex data formats delivered in modern high-end production environments go beyond the scope of classical process control systems, more advanced tools involving machine learning are required to reliably recognize…

Machine Learning · Computer Science 2022-04-04 Stefan Schrunner , Michael Scheiber , Anna Jenul , Anja Zernig , Andre Kästner , Roman Kern

Despite the proven applicability of the statistical methods in automatic fault localization, these approaches are biased by data collected from different executions of the program. This biasness could result in unstable statistical models…

Software Engineering · Computer Science 2017-12-12 Farid Feyzi , Saeed Parsa

A hierarchical approach to the construction of compound distributions for process-induced faults in IC manufacture is proposed. Within this framework, the negative binomial distribution and the compound binomial distribution are treated as…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Yu. I. Bogdanov , N. A. Bogdanova , V. L. Dshkhunyan

A novel approach is suggested for improving the accuracy of fault detection in distribution networks. This technique combines adaptive probability learning and waveform decomposition to optimize the similarity of features. Its objective is…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Xinliang Ma , Weihua Liu , Bingying Jin

The Best Linear Approximation (BLA) framework has already proven to be a valuable tool to analyze nonlinear systems and to start the nonlinear modeling process. The existing BLA framework is limited to systems with additive (colored) noise…

Systems and Control · Computer Science 2020-04-16 Maarten Schoukens , Rik Pintelon , Tadeusz P. Dobrowiecki , Johan Schoukens

Inverse problems constrained by partial differential equations (PDEs) play a critical role in model development and calibration. In many applications, there are multiple uncertain parameters in a model that must be estimated. However, high…

Numerical Analysis · Mathematics 2022-10-27 Joseph Hart , Bart van Bloemen Waanders

Early work established convergence of the principal component estimators of the factors and loadings up to a rotation for large dimensional approximate factor models with weak factors in that the factor loading $\Lambda^{(0)}$ scales…

Statistics Theory · Mathematics 2025-03-12 Yong He , Dong Liu , Yunjing Sun , Yalin Wang

Partial label learning (PLL) is a significant weakly supervised learning framework, where each training example corresponds to a set of candidate labels and only one label is the ground-truth label. For the first time, this paper…

Machine Learning · Computer Science 2025-05-07 Yutong Xie , Fuchao Yang , Yuheng Jia

The modeling of solute chemistry at low-symmetry defects in materials is historically challenging, due to the computation cost required to evaluate thermodynamic properties from first principles. Here, we offer a hybrid multiscale approach…

Materials Science · Physics 2025-06-12 Nutth Tuchinda , Changle Li , Christopher A. Schuh

Complementary-Label Learning (CLL) is a weakly-supervised learning problem that aims to learn a multi-class classifier from only complementary labels, which indicate a class to which an instance does not belong. Existing approaches mainly…

Machine Learning · Computer Science 2023-04-12 Wei-I Lin , Hsuan-Tien Lin

Traditional principal component analysis (PCA) is well known in high-dimensional data analysis, but it requires to express data by a matrix with observations to be continuous. To overcome the limitations, a new method called flexible PCA…

Methodology · Statistics 2021-08-17 Tonglin Zhang , Baijian Yang , Qianqian Song , Jing Su

Machine learning algorithms are increasingly being applied to fault detection and diagnosis (FDD) in chemical processes. However, existing data-driven FDD platforms often lack interpretability for process operators and struggle to identify…

Artificial Intelligence · Computer Science 2024-12-20 Abdullah Khan , Rahul Nahar , Hao Chen , Gonzalo E. Constante Flores , Can Li

This paper proposes a tool for dimension reduction where the dimension of the original space is reduced: a Principal Loading Analysis (PLA). PLA is a tool to reduce dimensions by discarding variables. The intuition is that variables are…

Statistics Theory · Mathematics 2021-03-05 Jan O. Bauer , Bernhard Drabant