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Keywords = control chart pattern recognition

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20 pages, 1837 KB  
Article
Online Recognition of Partially Developed X-Bar Chart Patterns with Optimized Statistical Feature Set and Recognizer
by Adnan Hassan
Appl. Sci. 2026, 16(8), 3950; https://doi.org/10.3390/app16083950 - 18 Apr 2026
Cited by 1 | Viewed by 589 | Correction
Abstract
This study addresses the challenge of early-stage recognition of control chart patterns in statistical process control, which is critical for timely detection of process abnormalities in real-time manufacturing environments. Unlike most existing approaches that focus on fully developed patterns, this work targets partially [...] Read more.
This study addresses the challenge of early-stage recognition of control chart patterns in statistical process control, which is critical for timely detection of process abnormalities in real-time manufacturing environments. Unlike most existing approaches that focus on fully developed patterns, this work targets partially developed patterns within a fixed observation window to enable proactive intervention. A multi-layer perceptron (MLP) classifier was developed using statistical features, and a structured design of experiments (DOE) approach was employed to optimize both the feature set and network parameters. Simulated X-bar chart data representing six pattern types were used, and candidate features were systematically evaluated using fractional factorial design. The results identified an effective feature subset consisting of autocorrelation, mean, mean square value, standard deviation, slope, and cumulative sum. The optimized MLP achieved an offline accuracy of approximately 86%, while online implementation yielded an overall accuracy of 70.6% with acceptable error rates and average run length performance (ARL0 = 207.3, ARLI = 10.9). The findings demonstrate that, despite greater difficulty in online recognition, the proposed approach provides a practical and interpretable solution for early detection in quality control systems. Full article
(This article belongs to the Section Applied Industrial Technologies)
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10 pages, 613 KB  
Article
Clinical Patterns and Outcomes of Eosinophilic Esophagitis in Children and Adolescents at a Tertiary Care Center in Lebanon
by Amal Rahi, Rima Hanna-Wakim, Abir Barhoumi and Nadine Yazbeck
Children 2026, 13(4), 513; https://doi.org/10.3390/children13040513 - 7 Apr 2026
Viewed by 1025
Abstract
Background: Studies on the clinical presentation of eosinophilic esophagitis and its outcome in children in the Middle East and North African region are scarce. The aim of this 10-year retrospective study was to describe the common clinical manifestations, endoscopic and histological findings, and [...] Read more.
Background: Studies on the clinical presentation of eosinophilic esophagitis and its outcome in children in the Middle East and North African region are scarce. The aim of this 10-year retrospective study was to describe the common clinical manifestations, endoscopic and histological findings, and the response to medication and dietary intervention in children and adolescents with eosinophilic esophagitis. Methods: This study was a retrospective chart review of patients aged 6 months to 18 years who attended the Pediatric Gastroenterology clinic at the American University of Beirut Medical Center between 1 January 2013 and 30 June 2023 and who were diagnosed with eosinophilic esophagitis. Results: A total of 15 patients met the inclusion criteria. The median age at diagnosis was 9 years. Male patients accounted for 73% of our cohort. The most frequent presenting symptoms were dysphagia (80%) and choking (47%). The esophagus appeared normal in 33% of subjects despite histologic confirmation of disease, highlighting the importance of routine biopsies. Adherence to therapy was variable, with 73% of subjects reporting symptom improvement following initial therapy, even in cases where histology remained active. This pattern suggests that symptomatic improvement alone may not reliably reflect disease control and underscores the importance of objective monitoring through follow-up biopsy. Conclusions: The recognition of manifestations of eosinophilic esophagitis in children, early diagnosis, and strict adherence to the diet and medication are essential to prevent long-term complications. In a resource-constrained country like Lebanon, the management remains challenging in view of the burden of dietary restrictions and high cost of procedures and biologics. Socioeconomic feasibility and long-term adherence to diet and medication is as critical as pharmacologic efficacy in determining outcomes in pediatric patients. Full article
(This article belongs to the Special Issue Non-IgE Pediatric Food Allergy: Clinical and Research Issues)
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19 pages, 2273 KB  
Article
A Novel EMD-1DCNN Framework for Recognizing Concurrent Control Chart Patterns in Autocorrelated Processes
by Cang Wu, Huijuan Hou, Chunli Lei, Mingliang Wang, Yongjun Du and Wenpo Huang
Mathematics 2025, 13(22), 3577; https://doi.org/10.3390/math13223577 - 7 Nov 2025
Cited by 1 | Viewed by 784
Abstract
Control chart pattern recognition was initially focused on single patterns with the assumption of normal, independent, and identical distribution. In practice, though, these assumptions are rarely valid in manufacturing processes, due to numerous influencing factors and short intervals in data collecting. It is [...] Read more.
Control chart pattern recognition was initially focused on single patterns with the assumption of normal, independent, and identical distribution. In practice, though, these assumptions are rarely valid in manufacturing processes, due to numerous influencing factors and short intervals in data collecting. It is necessary to consider that the inherent disturbance is autocorrelated and that two single patterns appear at the same time. This study presents a novel framework integrating Empirical Mode Decomposition (EMD) and one-dimensional Convolutional Neural Networks (1DCNN) with feature component selection for recognizing concurrent control chart patterns in autocorrelated manufacturing processes. We assume the inherent disturbance follows a first-order autoregressive (AR (1)) process and simulate eleven concurrent patterns. Then, the EMD method decomposes the concurrent pattern into a series of feature components, wherein the correlation coefficient is employed as the index by which to select the two feature components. Finally, the selected feature components and raw data are combined to create a feature vector that acts as the input for the 1DCNN model. The simulation results demonstrate that the proposed model achieves a recognition accuracy of 92.39%, outperforming both the singular spectrum analysis–support vector machine (SSA-SVM) and the singular spectrum analysis–random forest (SSA-RF) methods in terms of accuracy and robustness. Full article
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17 pages, 337 KB  
Article
Support Vector Machines and Model Selection for Control Chart Pattern Recognition
by Chih-Jen Su, I-Fei Chen, Tzong-Ru Tsai, Tzu-Hsuan Wang and Yuhlong Lio
Mathematics 2025, 13(4), 592; https://doi.org/10.3390/math13040592 - 11 Feb 2025
Cited by 6 | Viewed by 3054
Abstract
Resource-intensiveness often occurs in modern industrial settings; meanwhile, common issues and irregular patterns in production can lead to defects and variations in work-piece dimensions, negatively impacting products and increasing costs. Utilizing traditional process control charts to monitor the process and identify potential anomalies [...] Read more.
Resource-intensiveness often occurs in modern industrial settings; meanwhile, common issues and irregular patterns in production can lead to defects and variations in work-piece dimensions, negatively impacting products and increasing costs. Utilizing traditional process control charts to monitor the process and identify potential anomalies is expensive when intensive resources are needed. To conquer these downsides, algorithms for control chart pattern recognition (CCPR) leverage machine learning models to detect non-normality or normality and ensure product quality is established, and novel approaches that integrate the support vector machine (SVM), random forest (RF), and K-nearest neighbors (KNN) methods with the model selection criterion, named SVM-, RF-, and KNN-CCPR, respectively, are proposed. The three CCPR approaches can save sample resources in the initial process monitoring, improve the weak learner’s ability to recognize non-normal data, and include normality as a special case. Simulation results and case studies show that the proposed SVM-CCPR method outperforms the other two competitors with the highest recognition rate and yields favorable performance for quality control. Full article
(This article belongs to the Special Issue Mathematical Applications in Industrial Engineering)
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20 pages, 4600 KB  
Article
A Novel Methodology for Performance Evaluation in Advanced Quality Control
by Ethel García, Rita Peñabaena-Niebles, Winston S. Percybrooks and Kevin Palomino
Mathematics 2025, 13(2), 259; https://doi.org/10.3390/math13020259 - 14 Jan 2025
Cited by 2 | Viewed by 2647
Abstract
Current global conditions and challenges in industrial manufacturing, marked by dynamism, competition, and the need for responsible resource management, have increased the demand for sustainable manufacturing practices. The integration of Industry 4.0 and the recent development of Industry 5.0 have added dynamism, which [...] Read more.
Current global conditions and challenges in industrial manufacturing, marked by dynamism, competition, and the need for responsible resource management, have increased the demand for sustainable manufacturing practices. The integration of Industry 4.0 and the recent development of Industry 5.0 have added dynamism, which has generated profound implications for quality control and process monitoring, focusing mainly on recognising control patterns within the manufacturing environment. This study introduces a novel methodology for evaluating the performance of pattern classification models used in advanced quality control. Our approach incorporates robust performance metrics, early detection, window size, network hyperparameters, and concurrent patterns within a simulated monitoring environment. Unlike previous research, our evaluation methodology addresses the sensitivity of classification models to various factors, emphasising the critical balance between early detection and minimising false alarms. The findings reveal that window size significantly impacts the model’s sensitivity to pattern changes, highlighting that measuring early detection alone is impractical in real-world applications. Furthermore, optimal hyperparameter selection enhances the model’s practical applicability. Full article
(This article belongs to the Special Issue Advances in Data Analytics for Manufacturing Quality Assurance)
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16 pages, 2237 KB  
Article
Improving Process Control Through Decision Tree-Based Pattern Recognition
by Izabela Rojek, Agnieszka Kujawińska, Robert Burduk and Dariusz Mikołajewski
Electronics 2024, 13(23), 4823; https://doi.org/10.3390/electronics13234823 - 6 Dec 2024
Cited by 2 | Viewed by 3109
Abstract
This paper explores the integration of decision tree classifiers in the assessment of machining process stability using control charts. The inherent variability in manufacturing processes requires a robust system for the early detection and correction of disturbances, which has traditionally relied on operators’ [...] Read more.
This paper explores the integration of decision tree classifiers in the assessment of machining process stability using control charts. The inherent variability in manufacturing processes requires a robust system for the early detection and correction of disturbances, which has traditionally relied on operators’ experience. Using decision trees, this study presents an automated approach to pattern recognition on control charts that outperforms the accuracy of human operators and neural networks. Experimental research conducted on two datasets from surface finishing processes demonstrates that decision trees can achieve perfect classification under optimal parameters. The results suggest that decision trees offer a transparent and effective tool for quality control, capable of reducing human error, improving decision making, and fostering greater confidence among company employees. These results open up new possibilities for the automation and continuous improvement of machining process control. The contribution of this research to Industry 4.0 is to enable the real-time, data-driven monitoring of machining process stability through decision tree-based pattern recognition, which improves predictive maintenance and quality control. It supports the transition to intelligent manufacturing, where process anomalies are detected and resolved dynamically, reducing downtime and increasing productivity. Full article
(This article belongs to the Special Issue Data-Centric Artificial Intelligence: New Methods for Data Processing)
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26 pages, 5624 KB  
Article
Damage Identification of Railway Bridges through Temporal Autoregressive Modeling
by Stefano Anastasia, Enrique García-Macías, Filippo Ubertini, Vincenzo Gattulli and Salvador Ivorra
Sensors 2023, 23(21), 8830; https://doi.org/10.3390/s23218830 - 30 Oct 2023
Cited by 11 | Viewed by 3105
Abstract
The damage identification of railway bridges poses a formidable challenge given the large variability in the environmental and operational conditions that such structures are subjected to along their lifespan. To address this challenge, this paper proposes a novel damage identification approach exploiting continuously [...] Read more.
The damage identification of railway bridges poses a formidable challenge given the large variability in the environmental and operational conditions that such structures are subjected to along their lifespan. To address this challenge, this paper proposes a novel damage identification approach exploiting continuously extracted time series of autoregressive (AR) coefficients from strain data with moving train loads as highly sensitive damage features. Through a statistical pattern recognition algorithm involving data clustering and quality control charts, the proposed approach offers a set of sensor-level damage indicators with damage detection, quantification, and localization capabilities. The effectiveness of the developed approach is appraised through two case studies, involving a theoretical simply supported beam and a real-world in-operation railway bridge. The latter corresponds to the Mascarat Viaduct, a 20th century historical steel truss railway bridge that remains active in TRAM line 9 in the province of Alicante, Spain. A detailed 3D finite element model (FEM) of the viaduct was defined and experimentally validated. On this basis, an extensive synthetic dataset was constructed accounting for both environmental and operational conditions, as well as a variety of damage scenarios of increasing severity. Overall, the presented results and discussion evidence the superior performance of strain measurements over acceleration, offering great potential for unsupervised damage detection with full damage identification capabilities (detection, quantification, and localization). Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
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16 pages, 4071 KB  
Article
A Novel Scheme of Control Chart Patterns Recognition in Autocorrelated Processes
by Cang Wu, Huijuan Hou, Chunli Lei, Pan Zhang and Yongjun Du
Mathematics 2023, 11(16), 3589; https://doi.org/10.3390/math11163589 - 19 Aug 2023
Cited by 5 | Viewed by 2180
Abstract
Control chart pattern recognition (CCPR) can quickly recognize anomalies in charts, making it an important tool for narrowing the search scope of abnormal causes. Most studies assume that the observations are normal, independent and identically distributed (NIID), while the assumption of independence cannot [...] Read more.
Control chart pattern recognition (CCPR) can quickly recognize anomalies in charts, making it an important tool for narrowing the search scope of abnormal causes. Most studies assume that the observations are normal, independent and identically distributed (NIID), while the assumption of independence cannot always be satisfied under continuous manufacturing processes. Recent research has considered the existence of autocorrelation, but the recognition rate is overestimated. In this paper, a novel scheme is proposed to recognize control chart patterns (CCPs) in which the inherent noise is autocorrelated. By assuming that the inherent noise follows a first-order autoregressive (AR (1)) process, the one-dimensional convolutional neural network (1DCNN) is applied for extracting features in the proposed scheme, while the grey-wolf-optimizer-based support vector machine (GWOSVM) is employed as a classifier. The simulation results reveal that the proposed scheme can effectively identify seven types of CCPs. The overall accuracy is 89.02% for all the autoregressive coefficients, and the highest accuracy is 99.43% when the autoregressive coefficient is on the interval (−0.3, 0]. Comparative experiments indicate that the proposed scheme has great potential to identify CCPs in autocorrelated processes. Full article
(This article belongs to the Special Issue System Reliability and Quality Management in Industrial Engineering)
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26 pages, 3561 KB  
Article
Multivariate Process Control Chart Pattern Classification Using Multi-Channel Deep Convolutional Neural Networks
by Chuen-Sheng Cheng, Pei-Wen Chen, Yu-Chin Hsieh and Yu-Tang Wu
Mathematics 2023, 11(15), 3291; https://doi.org/10.3390/math11153291 - 26 Jul 2023
Cited by 15 | Viewed by 4419
Abstract
Statistical process control (SPC) charts are commonly used to monitor quality characteristics in manufacturing processes. When monitoring two or more related quality characteristics simultaneously, multivariate T2 control charts are often employed. Like univariate control charts, control chart pattern recognition (CCPR) plays a [...] Read more.
Statistical process control (SPC) charts are commonly used to monitor quality characteristics in manufacturing processes. When monitoring two or more related quality characteristics simultaneously, multivariate T2 control charts are often employed. Like univariate control charts, control chart pattern recognition (CCPR) plays a crucial role in multivariate SPC. The presence of non-random patterns in T2 control charts indicates that a process is influenced by one or more assignable causes and that corrective actions should be taken. In this study, we developed a deep learning-based classification model for recognizing control chart patterns in multivariate processes. To address the problem of the insufficient representation of one-dimensional (1D) data, we explore the advantages of using two-dimensional (2D) image data obtained from a threshold-free recurrence plot. A multi-channel deep convolutional neural network (MCDCNN) model was developed to incorporate both 1D and 2D representations of control chart data. This model was tested on multivariate processes with different covariance matrices and compared with other traditional algorithms. Moreover, the effects of imbalanced datasets and dataset size on classification performance were analyzed. Simulation studies revealed that the developed MCDCNN model outperforms other techniques in identifying multivariate non-random patterns. For the most significant one, our proposed MCDCNN method achieved a 10% improvement over traditional methods. The overall results suggest that the developed MCDCNN model can be beneficial for intelligent SPC. Full article
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32 pages, 2644 KB  
Article
Ensemble Classifier for Recognition of Small Variation in X-Bar Control Chart Patterns
by Waseem Alwan, Nor Hasrul Akhmal Ngadiman, Adnan Hassan, Syahril Ramadhan Saufi and Salwa Mahmood
Machines 2023, 11(1), 115; https://doi.org/10.3390/machines11010115 - 14 Jan 2023
Cited by 12 | Viewed by 3578
Abstract
Manufacturing processes have become highly accurate and precise in recent years, particularly in the chemical, aerospace, and electronics industries. This has attracted researchers to investigate improved procedures for monitoring and detection of small process variations to remain in line with such advances. Among [...] Read more.
Manufacturing processes have become highly accurate and precise in recent years, particularly in the chemical, aerospace, and electronics industries. This has attracted researchers to investigate improved procedures for monitoring and detection of small process variations to remain in line with such advances. Among these techniques, statistical process controls (SPC), in particular the control chart pattern (CCP), have become a popular choice for monitoring process variance, being utilized in numerous industrial and manufacturing applications. This study provides an improved control chart pattern recognition (CCPR) method focusing on X-bar chart patterns of small process variations using an ensemble classifier comprised of five complementing algorithms: decision tree, artificial neural network, linear support vector machine, Gaussian support vector machine, and k-nearest neighbours. Before advancing to the classification step, Nelson’s Rus Rules were utilized as a monitoring rule to distinguish between stable and unstable processes. The study’s findings indicate that the proposed method improves classification performance for patterns with mean changes of less than 1.5 sigma, and confirm that the performance of the ensemble classifier is superior to that of the individual classifier. The ensemble classifier can distinguish unstable pattern types with a classification accuracy of 99.55% and an ARL1 of 11.94. Full article
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31 pages, 20411 KB  
Review
Concurrent Control Chart Pattern  Recognition: A Systematic Review
by Ethel García, Rita Peñabaena-Niebles, Maria Jubiz-Diaz and Angie Perez-Tafur
Mathematics 2022, 10(6), 934; https://doi.org/10.3390/math10060934 - 15 Mar 2022
Cited by 24 | Viewed by 9801
Abstract
The application of statistical methods to monitor a process is critical to ensure its stability. Statistical process control aims to detect and identify abnormal patterns that disrupt the natural behaviour of a process. Most studies in the literature are focused on recognising single [...] Read more.
The application of statistical methods to monitor a process is critical to ensure its stability. Statistical process control aims to detect and identify abnormal patterns that disrupt the natural behaviour of a process. Most studies in the literature are focused on recognising single abnormal patterns. However, in many industrial processes, more than one unusual control chart pattern may appear simultaneously, i.e., concurrent control chart patterns (CCP). Therefore, this paper aims to present a classification framework based on categories to systematically organise and analyse the existing literature regarding concurrent CCP recognition to provide a concise summary of the developments performed so far and a helpful guide for future research. The search only included journal articles and proceedings in the area. The literature search was conducted using Web of Science and Scopus databases. As a result, 41 studies were considered for the proposed classification scheme. It consists of categories designed to assure an in-depth analysis of the most relevant topics in this research area. Results concluded a lack of research in this research field. The main findings include the use of machine learning methods; the study of non-normally distributed processes; and the consideration of abnormal patterns different from the shift, trend, and cycle behaviours. Full article
(This article belongs to the Special Issue Advances in Statistical Process Control and Their Applications)
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18 pages, 4493 KB  
Article
Control Chart Concurrent Pattern Classification Using Multi-Label Convolutional Neural Networks
by Chuen-Sheng Cheng, Pei-Wen Chen and Ying Ho
Appl. Sci. 2022, 12(2), 787; https://doi.org/10.3390/app12020787 - 13 Jan 2022
Cited by 17 | Viewed by 5021
Abstract
The detection and identification of non-random patterns is an important task in statistical process control (SPC). When a non-random pattern appears on a control chart, it means that there are assignable causes which will gradually deteriorate the process quality. In addition to the [...] Read more.
The detection and identification of non-random patterns is an important task in statistical process control (SPC). When a non-random pattern appears on a control chart, it means that there are assignable causes which will gradually deteriorate the process quality. In addition to the study of a single pattern, many researchers have also studied concurrent non-random patterns. Although concurrent patterns have multiple characteristics from different basic patterns, most studies have treated them as a special pattern and used the multi-class classifier to perform the classification work. This study proposed a new method that uses a multi-label convolutional neural network to construct a classifier for concurrent patterns of a control chart. This study used data from previous studies to evaluate the effectiveness of the proposed method with appropriate multi-label classification metrics. The results of the study show that the recognition performance of multi-label convolutional neural network is better than traditional machine learning algorithms. This study also used real-world data to demonstrate the applicability of the proposed method to online monitoring. This study aids in the further realization of smart SPC. Full article
(This article belongs to the Special Issue Smart Service Technology for Industrial Applications)
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26 pages, 4680 KB  
Article
End-to-End Control Chart Pattern Classification Using a 1D Convolutional Neural Network and Transfer Learning
by Chuen-Sheng Cheng, Ying Ho and Tzu-Cheng Chiu
Processes 2021, 9(9), 1484; https://doi.org/10.3390/pr9091484 - 24 Aug 2021
Cited by 22 | Viewed by 5411
Abstract
Control charts are an important tool in statistical process control (SPC). They have been commonly used for monitoring process variation in many industries. Recognition of non-random patterns is an important task in SPC. The presence of non-random patterns implies that a process is [...] Read more.
Control charts are an important tool in statistical process control (SPC). They have been commonly used for monitoring process variation in many industries. Recognition of non-random patterns is an important task in SPC. The presence of non-random patterns implies that a process is affected by certain assignable causes, and some corrective actions should be taken. In recent years, a great deal of research has been devoted to the application of machine learning (ML) based approaches to control chart pattern recognition (CCPR). However, there are some gaps that hinder the application of the CCPR methods in practice. In this study, we applied a control chart pattern recognition method based on an end-to-end one-dimensional convolutional neural network (1D CNN) model. We proposed some methods to generate datasets with high intra-class diversity aiming to create a robust classification model. To address the data scarcity issue, some data augmentation operations suitable for CCPR were proposed. This study also investigated the usefulness of transfer learning techniques for the CCPR task. The pre-trained model using normally distributed data was used as a starting point and fine-tuned on the unknown non-normal data. The performance of the proposed approach was evaluated by real-world data and simulation experiments. Experimental results indicate that our proposed method outperforms the traditional machine learning methods and could be a promising tool to effectively classify control chart patterns. The results and findings of this study are crucial for the further realization of smart statistical process control. Full article
(This article belongs to the Special Issue Recent Advances in Machine Learning and Applications)
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12 pages, 1983 KB  
Article
Fuzzy Heuristics and Decision Tree for Classification of Statistical Feature-Based Control Chart Patterns
by Munawar Zaman and Adnan Hassan
Symmetry 2021, 13(1), 110; https://doi.org/10.3390/sym13010110 - 10 Jan 2021
Cited by 29 | Viewed by 4730
Abstract
Monitoring manufacturing process variation remains challenging, especially within a rapid and automated manufacturing environment. Problematic and unstable processes may produce distinct time series patterns that could be associated with assignable causes for diagnosis purpose. Various machine learning classification techniques such as artificial neural [...] Read more.
Monitoring manufacturing process variation remains challenging, especially within a rapid and automated manufacturing environment. Problematic and unstable processes may produce distinct time series patterns that could be associated with assignable causes for diagnosis purpose. Various machine learning classification techniques such as artificial neural network (ANN), classification and regression tree (CART), and fuzzy inference system have been proposed to enhance the capability of traditional Shewhart control chart for process monitoring and diagnosis. ANN classifiers are often opaque to the user with limited interpretability on the classification procedures. However, fuzzy inference system and CART are more transparent, and the internal steps are more comprehensible to users. There have been limited works comparing these two techniques in the control chart pattern recognition (CCPR) domain. As such, the aim of this paper is to demonstrate the development of fuzzy heuristics and CART technique for CCPR and compare their classification performance. The results show the heuristics Mamdani fuzzy classifier performed well in classification accuracy (95.76%) but slightly lower compared to CART classifier (98.58%). This study opens opportunities for deeper investigation and provides a useful revisit to promote more studies into explainable artificial intelligence (XAI). Full article
(This article belongs to the Section A: Computer Science)
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12 pages, 655 KB  
Article
Stable and Unstable Pattern Recognition Using D2 and SVM: A Multivariate Approach
by Pamela Chiñas-Sanchez, Ismael Lopez-Juarez, Jose Antonio Vazquez-Lopez, Abdelkader El Kamel and Jose Luis Navarro-Gonzalez
Mathematics 2021, 9(1), 10; https://doi.org/10.3390/math9010010 - 23 Dec 2020
Cited by 3 | Viewed by 2651
Abstract
Control charts are used to visually identify the signals that define the behavior of industrial processes in univariate cases. However, whenever the statistical quality of more than one critical variable needs to be monitored simultaneously, the procedure becomes much more complicated. This paper [...] Read more.
Control charts are used to visually identify the signals that define the behavior of industrial processes in univariate cases. However, whenever the statistical quality of more than one critical variable needs to be monitored simultaneously, the procedure becomes much more complicated. This paper presents a methodology on multivariate pattern recognition using the Mahalanobis distance (D2) and the Support Vector Machine (SVM) technique to recognise two multivariate patterns. The relevance of the study lies in the monitoring of the variables while considering the correlation between them and the effects of interchangeably using a stable multivariate case against an unstable pattern that results in recognition rates up to 91.6%. Full article
(This article belongs to the Special Issue Probability and Statistics in Quality and Reliability Engineering)
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