PCA reduced Gaussian mixture models with applications in superresolution

نویسندگان

چکیده

<p style='text-indent:20px;'>Despite the rapid development of computational hardware, treatment large and high dimensional data sets is still a challenging problem. The contribution this paper to topic twofold. First, we propose Gaussian mixture model in conjunction with reduction dimensionality each component by principal analysis, which call PCA-GMM. To learn (low dimensional) parameters an EM algorithm whose M-step requires solution constrained optimization problems. Fortunately, these problems do not depend on usually number samples can be solved efficiently (inertial) proximal alternating linearized minimization algorithm. Second, apply our PCA-GMM for superresolution 2D 3D material images based approach Sandeep Jacob. Numerical results confirm moderate influence overall result.</p>

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ژورنال

عنوان ژورنال: Inverse Problems and Imaging

سال: 2022

ISSN: ['1930-8345', '1930-8337']

DOI: https://doi.org/10.3934/ipi.2021053