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• W1828732994 abstract "In this paper, we construct multimodal spectral geometry by finding a pair of closest commuting operators (CCO) to a given pair of Laplacians. The CCOs are jointly diagonalizable and hence have the same eigenbasis. Our construction naturally extends classical data analysis tools based on spectral geometry, such as diffusion maps and spectral clustering. We provide several synthetic and real examples of applications in dimensionality reduction, shape analysis, and clustering, demonstrating that our method better captures the inherent structure of multi-modal data." @default.
• W1828732994 created "2016-06-24" @default.
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• W1828732994 date "2013-07-19" @default.
• W1828732994 modified "2023-09-27" @default.
• W1828732994 title "Making Laplacians commute" @default.
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