Early Detection of Thermoacoustic Combustion Instability Using a Methodology Combining Complex Networks and Machine Learning
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"Early Detection of Thermoacoustic C..." refers background in this paper
...The SVM allows the combustion state to be clearly classified into three regimes on the feature space: combustion noise (blue), thermoacoustic combustion instability (red), and the transition from combustion noise to thermoacoustic combustion instability (yellow)....
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...support vector machine (SVM) [15,16], which is a class of machine learning to recognize patterns, is a binary classi-...
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...The standard support vector machine (SVM) [15,16], which is a class of machine learning to recognize patterns, is a binary classifier predicting the boundaries of classes and has received considerable attention in data science for the past few decades [17]....
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...The SVM [17] searches for an optimal separating hyperplane in the feature space using the given training data set {xi, yi}, i = 1, 2, . . . , n, where xi is the input vector and yi is the class label taking a value of +1 or −1....
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...Figure 6(A) shows the feature space consisting of S1 and S2 obtained by the SVM....
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3,433 citations
"Early Detection of Thermoacoustic C..." refers methods in this paper
...In this study, we construct the ordinal partition transition networks consisting of order patterns (permutation patterns [26,27])....
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2,993 citations
"Early Detection of Thermoacoustic C..." refers methods in this paper
...Here, Jr is the joint probability of recurrence plots [23]; Rr (= ∑ m,n Rm,n/N 2) is the recurrence rate, M = [(1/N 2) ∑N m,n Jm,n]/Rr, Jm,n = [ − ||p(tm) − p(tn)||] [ − ||WOH∗(tm) − WOH∗(tn)||], is the Heaviside function, p(t) = {p ′(t), p ′(t + τ), ....
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...In this study, we first adopt the synchronization index SI , defined as the product of the joint probability of recurrence plots Jr [23] and the phase synchronization parameter rpq, to study the significant change in the dynamics from combustion noise to thermoacoustic combustion instability with increasing equivalence ratio:...
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1,048 citations