Multimode process monitoring method based on local and structural consistency manifold GMM
A process monitoring and consistency technology, applied in program control, electrical program control, comprehensive factory control, etc., can solve problems such as misunderstanding as neighbors, inaccurate monitoring models, etc.
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[0051] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
[0052] Such as figure 1 As shown, the present invention relates to a multimodal process monitoring method based on local and structurally consistent manifold GMM, and the specific implementation steps of the method are as follows:
[0053] (1) According to the high-dimensional multi-modal process data, construct the GMM model, determine the model parameters, and obtain the Gaussian components of the multi-modal process.
[0054] Given an m-dimensional sample x ∈ R from a high-dimensional multimodal process m , the total number of samples is N, the total number of Gaussian components is K, and the joint likelihood function of GMM is expressed as:
[0055]
[0056] In the formula, parameter Θ={ω 1 ,...,ω K ,θ 1 ,...,θ K}, p(x j |θ i ) is ...
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