Correcting variance and polarity indeterminacies of extracted components by canonical polyadic decomposition Article Swipe
YOU?
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· 2024
· Open Access
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· DOI: https://doi.org/10.1080/27706710.2024.2403477
Background Back-projection has been used to correct the variance and polarity indeterminacies for the independent component analysis. The variance and polarity of the components are essential features of neuroscience studies.Objective This work extends the back-projection theory to canonical polyadic decomposition (CPD) for high-order tensors, aiming to correct the variance and polarity indeterminacies of the components extracted by CPD.Methods The tensor is reshaped into a matrix and decomposed using a suitable blind source separation algorithm. Subsequently, the coefficients are projected using back-projection theory, and other factor matrices are computed through a series of singular value decompositions of the back-projection matrix.Results By applying this method, the energy and polarity of each component are determined, effectively correcting the variance and polarity indeterminacies in CPD. The proposed method was validated using simulated tensor data and resting-state fMRI data.Conclusion Our proposed back-projection method for high-order tensors effectively corrects variance and polarity indeterminacies in CPD, offering a precise solution for calculating the energy and polarity required to extract meaningful features from neuroimaging data.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1080/27706710.2024.2403477
- OA Status
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- References
- 26
- Related Works
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- OpenAlex ID
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Raw OpenAlex JSON
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https://openalex.org/W4402781905Canonical identifier for this work in OpenAlex
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https://doi.org/10.1080/27706710.2024.2403477Digital Object Identifier
- Title
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Correcting variance and polarity indeterminacies of extracted components by canonical polyadic decompositionWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-09-23Full publication date if available
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Yuxing Hao, Huanjie Li, Guoqiang Hu, Wei Zhao, Fengyu CongList of authors in order
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https://doi.org/10.1080/27706710.2024.2403477Publisher landing page
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diamondOpen access status per OpenAlex
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https://doi.org/10.1080/27706710.2024.2403477Direct OA link when available
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Polarity (international relations), Decomposition, Variance (accounting), Mathematics, Variance components, Statistics, Econometrics, Natural language processing, Computer science, Chemistry, Economics, Organic chemistry, Cell, Accounting, BiochemistryTop concepts (fields/topics) attached by OpenAlex
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