2021
DOI: 10.1007/s13042-020-01250-z
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Dynamic neural orthogonal mapping for fault detection

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Cited by 10 publications
(5 citation statements)
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References 25 publications
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“…In this paper, we choose the polynomial kernel with d=1 and the RBF kernel function with t=2. [ 38 ] Furthermore, to illustrate different kernel functions at each kernel mapping layer to guarantee the diverse capabilities of feature extraction, meanwhile, to demonstrate the effectiveness of the proposed multilayer feature extraction for nonlinear processes, we illustrate it with a numerical example, [ 39 ] as shown in formula (): z2i1goodbreak=[]z2i11z2i12z2i13goodbreak=[]1.5ai1.8ai1.3aigoodbreak+[]0.28βi0.385βi0.42βi,z2igoodbreak=[]z2i1z2i2z2i3goodbreak=[]1.572.371.82.731.051.41.221.602.4z2i1goodbreak+[]0.35βi0.385βi0.42βi, where αi and βi are the random variables from the standard normal distribution, i=1,2,,N. According to for...…”
Section: The Proposed Siamese Denpe Methods (Sdenpe)mentioning
confidence: 99%
See 1 more Smart Citation
“…In this paper, we choose the polynomial kernel with d=1 and the RBF kernel function with t=2. [ 38 ] Furthermore, to illustrate different kernel functions at each kernel mapping layer to guarantee the diverse capabilities of feature extraction, meanwhile, to demonstrate the effectiveness of the proposed multilayer feature extraction for nonlinear processes, we illustrate it with a numerical example, [ 39 ] as shown in formula (): z2i1goodbreak=[]z2i11z2i12z2i13goodbreak=[]1.5ai1.8ai1.3aigoodbreak+[]0.28βi0.385βi0.42βi,z2igoodbreak=[]z2i1z2i2z2i3goodbreak=[]1.572.371.82.731.051.41.221.602.4z2i1goodbreak+[]0.35βi0.385βi0.42βi, where αi and βi are the random variables from the standard normal distribution, i=1,2,,N. According to for...…”
Section: The Proposed Siamese Denpe Methods (Sdenpe)mentioning
confidence: 99%
“…In this paper, we choose the polynomial kernel with d ¼ 1 and the RBF kernel function with t ¼ 2. [38] Furthermore, to illustrate different kernel functions at each kernel mapping layer to guarantee the diverse capabilities of feature extraction, meanwhile, to demonstrate the effectiveness of the proposed multilayer feature extraction for nonlinear processes, we illustrate it with a numerical example, [39] as shown in formula (20):…”
Section: The Construction Of Sdenpe Networkmentioning
confidence: 99%
“…Dynamic linking and dynamic typing combine with their built-in high-level data structures to provide a perfect scripting language for quickly combining existing pieces during implementation. Readability is one of Python's primary focuses, which lowers the cost of maintaining programmers [55].…”
Section: Toolmentioning
confidence: 99%
“…Python supports using packages and modules to facilitate the reuse of code and the modularization of projects. Each general platform may download and distribute the Python interpreter and its standard library in source or binary form (Hu et al, 2021).…”
Section: Toolsmentioning
confidence: 99%