Leak Detection Method Based on Support Vector Machine

Author(s):  
XiaoJing Fan ◽  
LaiBin Zhang ◽  
Wei Liang ◽  
ZhaoHui Wang

Assumptive and uncertain factors, few leak samples, complex non-linear pipeline systems are the problems often involved in the process of pipeline leak detection. Furthermore, the pressure wave changes of leakage are similar to these of valve regulation and pump closure. Thus it is difficult to establish a reliable model and to distinguish the leak signal pattern from others in pipeline leak detection. The veracity of leak detection system is limited. This paper presents a novel technique based on the statistical learning theory, support vector machine (SVM) for pipeline leak detection. Support Vector Machine (SVM) is learning system that uses a hypothesis space of linear functions in a high dimensional feature space, trained with a learning algorithm from optimization theory that implements a learning bias derived from statistical learning theory. SVM is based on the principle of structure risk minimization as opposed to the principle of empirical risk minimization in conventional techniques. Thus, SVM has good performance for classification over small sample set. In this paper, an overview of the limitations of traditional statistics and the advantage of statistical learning theory will be introduced. In this paper, an SVM classifier is used to classify the signal pattern with few samples. Firstly, the algorithm of the SVM classifier and steps of using the model to identify leakage signals are studied. Secondly, the classification results of the experiment show that SVM classifier has high recognition accuracy. In addition, SVM is compared with neural network method. Then the paper concludes that in terms of classification ability and generalization performance, SVM has clearly advantages than neural network method over small sample set, so SVM is more applicable to pipeline leak detection.

2008 ◽  
Vol 44-46 ◽  
pp. 575-580 ◽  
Author(s):  
X.Y. Shao ◽  
Jun Wu ◽  
Ya Qiong Lv ◽  
Chao Deng

As the reliability test data of complicated mechanical products is rare in quantity on the system-level and difficult to determine the accurate composition of the life distribution unit as well, the traditional reliability evaluation method based on evolutionary theory has been of little use. And the Statistical Learning Theory begins to be widely focused on as a novel small sample statistic method, which has been mostly applied to pattern recognition, fault detection, time series prediction and so on. This paper creates a new method for reliability evaluation derived from Statistical Learning Theory. By constructing Support Vector Machine with analog reasoning, and solving linear operator equation, the probability density of product can be evaluated directly and then the product reliability index can be obtained. Compared with the traditional way, this method can apparently increase the accuracy and generalization ability of reliability evaluation within limited samples. Finally, this paper presents the bridge of a certain heavy special vehicle as an example to testify the efficiency of this method, and uses the accelerated life test of the vehicle bridge to estimate its reliability.


Entropy ◽  
2020 ◽  
Vol 22 (4) ◽  
pp. 438
Author(s):  
Ibrahim Alabdulmohsin

In this paper, we introduce the notion of “learning capacity” for algorithms that learn from data, which is analogous to the Shannon channel capacity for communication systems. We show how “learning capacity” bridges the gap between statistical learning theory and information theory, and we will use it to derive generalization bounds for finite hypothesis spaces, differential privacy, and countable domains, among others. Moreover, we prove that under the Axiom of Choice, the existence of an empirical risk minimization (ERM) rule that has a vanishing learning capacity is equivalent to the assertion that the hypothesis space has a finite Vapnik–Chervonenkis (VC) dimension, thus establishing an equivalence relation between two of the most fundamental concepts in statistical learning theory and information theory. In addition, we show how the learning capacity of an algorithm provides important qualitative results, such as on the relation between generalization and algorithmic stability, information leakage, and data processing. Finally, we conclude by listing some open problems and suggesting future directions of research.


2011 ◽  
Vol 368-373 ◽  
pp. 531-536
Author(s):  
Qiang Qu ◽  
Ming Qi Chang ◽  
Lei Xu ◽  
Yue Wang ◽  
Shao Hua Lu

According to water power, structure and foundation conditions of aqueduct, it has established aqueduct safety assessment indicator system and standards. Based on statistical learning theory, support vector machine shifts the learning problems into a convex quadratic programming problem with structural risk minimization criterion, which could get the global optimal solution, and be applicable to solving the small sample, nonlinearity classification and regression problems. In order to evaluate the safety condition of aqueduct, it has established the aqueduct safety assessment model which is based on support vector machine. It has divided safety standards into normal, basically normal, abnormal and dangerous. According to the aqueduct safety assessment standards and respective evaluation level, the sample set is generated randomly, which is used to build a pair of classifier with many support vectors. The results show that the method is feasible, and it has a good application prospect in irrigation district canal building safety assessment.


2014 ◽  
Vol 509 ◽  
pp. 38-43
Author(s):  
Zhong Jie Fan ◽  
Yan Qiu Leng ◽  
Yong Long Xu ◽  
Zheng Jiang Meng ◽  
Ji Wei Xu

Based on the analysis of influence factors of saturated sand, this paper expounds the limitations of traditional evaluation of liquefaction, and introduces the criterion of support vector machine (SVM) based on the principle of structural risk minimization. According to the main influence factors of sand liquefaction, a SVM discriminant model of sand liquefaction with different kernel functions is established. Through studying small sample data, this model can establish nonlinear mapping relationship between influence factors and liquefaction type. On the basis of seismic data, a radial based kernel function is selected to predict sand liquefaction type. The research results show that the predicted magnitude is identical with the actual result, to prove that it is effective to apply this SVM model to evaluate the level of sand liquefaction.


2015 ◽  
Vol 39 (3) ◽  
pp. 569-580 ◽  
Author(s):  
Ye Tian ◽  
Chen Lu ◽  
Zhipeng Wang ◽  
Zili Wang

This study proposes a fault diagnosis method for hydraulic pumps based on local mean decomposition (LMD), singular value decomposition (SVD), and information-geometric support vector machine (IG-SVM). First, the nonlinear and non-stationary vibration signals are decomposed using LMD into several product functions (PFs). Then, the PFs are processed by SVD to obtain more stable and compact feature vectors. Finally, the health states are identified by an IG-SVM classifier, which is less-dependent on the selected kernel function and parameters than SVM. In addition, the comparisons between LMD, EMD, and WPD demonstrate the superiority of LMD in feature extraction. Compared with SVM and BP neural network, IG-SVM shows higher classification accuracy and computational efficiency in dealing with small-sample fault diagnosis. From the experimental results, it was concluded that the proposed method can effectively realize fault diagnosis for hydraulic pumps under small-sample conditions.


2008 ◽  
Author(s):  
Μιχαήλ Μαυροφοράκης

Η παρούσα διατριβή πραγματεύεται το πρόβλημα της Αναγνώρισης Προτύπων, στο πλαίσιο της Μηχανικής Μάθησης (ML) και, ειδικότερα, του πεδίου της Θεωρίας Στατιστικής Μάθησης (STL), μέσω των Μηχανών Διανυσμάτων Στήριξης (SVM). Η εργασία αυτή εστιάζει στην γεωμετρική ερμηνεία των SVM, που πραγματοποιείται μέσω της έννοιας των Συρρικνωμένων Κυρτών Περιβλημάτων (RCH), και της επίπτωσης που έχει στην ανάπτυξη νέων, αποδοτικών αλγορίθμων για την επίλυση του γενικού προβλήματος βελτιστοποίησης των SVM. Η συνεισφορά της παρούσης εργασίας συνίσταται στην επέκταση του μαθηματικού πλαισίου των RCH, στην ανάπτυξη νέων γεωμετρικών αλγορίθμων για τα SVM και, τέλος, στην εφαρμογή των SVM στο πεδίο της Ανάλυσης Ιατρικής Εικόνας και Διάγνωσης (Μαστογραφία). Επέκταση πλαισίου γεωμετρικών SVM. Η γεωμετρική ερμηνεία των SVM στηρίζεται στην έννοια των Συρρικνωμένων Κυρτών Περιβλημάτων. Αν και η γεωμετρική προσέγγιση των SVM παρέχει διαισθητική κατανόηση, η χρησιμότητά της ήταν περιορισμένη λόγω του γεγονότος ότι τα RCH ορίζονται μέσω συρρικνωμένων κυρτών συνδυασμών των σημείων εκπαίδευσης και, συνεπώς, το αντίστοιχο πρόβλημα βελτιστοποίησης παρουσιάζεται να έχει συνδυαστική πολυπλοκότητα. Επεκτείναμε το πλαίσιο των RCH με έναν αριθμό από θεωρητικά αποτελέσματα, που περιορίζουν την έκφραση των ακρότατων σημείων των RCH και παρέχουν αναλυτικό τύπο για την προβολή τους σε συγκεκριμένη κατεύθυνση. Τα αποτελέσματα αυτά οδήγησαν στην ανάπτυξη νέων, πολύ αποδοτικών αλγορίθμων για τα SVM. Νέοι SVM αλγόριθμοι. Οι γνωστοί (και επαρκώς μελετηθέντες ως προς τη σύγκλιση) γεωμετρικοί αλγόριθμοι πλησιέστερου σημείου, i) του Gilbert και ii) των Schlesinger-Kozinec, τροποποιήθηκαν (με βάση τα παραπάνω θεωρητικά αποτελέσματα) για την επίλυση του γενικού, δηλ., του μη-γραμμικού, μη-διαχωρίσιμου προβλήματος βελτιστοποίησης των SVM. Οι νέοι αυτοί γεωμετρικοί αλγόριθμοι για SVM εφαρμόστηκαν και ελέγχθηκαν πάνω σε δημοσίως διαθέσιμα σύνολα δεδομένων ελέγχου και παρουσίασαν σημαντικό πλεονέκτημα ως προς την απόδοση, σε σύγκριση με τους ταχύτερους αντίστοιχους αλγεβρικούς αλγορίθμους. Εφαρμογές - Μαστογραφία. Το πεδίο της Ανάλυσης Ιατρικής Εικόνας και Διάγνωσης (και ειδικότερα της Μαστογραφίας που εξετάζεται στην παρούσα εργασία) είναι ιδιαίτερα κρίσιμο για την κοινωνία, αλλά συνάμα πολύ απαιτητικό από την σκοπιά της Πληροφορικής. Στην παρούσα Διατριβή, εξετάστηκε και αποτιμήθηκε η αξία ενός συνόλου από ποιοτικά και ποσοτικά χαρακτηριστικά υφής και μορφολογίας (χρησιμοποιώντας μεθόδους στατιστικής και μορφοκλασματικής ανάλυσης)• παράλληλα, χρησιμοποιήθηκαν αρκετές μεθοδολογίες μηχανικής μάθησης, π.χ., Τεχνητά Νευρωνικά Δίκτυα (ΑΝΝ) και SVM, για να διαχωρίσουν τους κακοήθεις από τους καλοήθεις μαστογραφικούς όγκους. Τα SVM υπερείχαν σε απόδοση έναντι των υπολοίπων ταξινομητών.


2013 ◽  
Vol 475-476 ◽  
pp. 787-791
Author(s):  
Li Mei Liu ◽  
Jian Wen Wang ◽  
Ying Guo ◽  
Hong Sheng Lin

Support vector machine has good learning ability and it is good to perform the structural risk minimization principle of statistical learning theory and its application in fault diagnosis of the biggest advantages is that it is suitable for small sample decision. Its nature of learning method is under the condition of limited information to maximize the implicit knowledge of classification in data mining and it is of great practical significance for fault diagnosis. This paper analyzed and summarized the present situation of application of support vector machine in fault diagnosis and made a meaningful exploration on development direction of the future.


2011 ◽  
Vol 217-218 ◽  
pp. 1829-1832
Author(s):  
Lei Zhou ◽  
He Jun Jiao

The financial pre-warning is an important resource for establish financial policy. Aimed at the character of the power industry, the least squares support vector machine prediction model is given based on the principle of the statistical learning theory and structural risk minimization. The result is given that the forecasting model is effective and offers a new method to forecast the financial risk.


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