Discovering Common Information in Multi-view Data Article Swipe

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Q Zhang , Mingfei Lu , Shujian Yu , Jingmin Xin , Badong Chen ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2406.15043

We introduce an innovative and mathematically rigorous definition for computing common information from multi-view data, drawing inspiration from Gács-Körner common information in information theory. Leveraging this definition, we develop a novel supervised multi-view learning framework to capture both common and unique information. By explicitly minimizing a total correlation term, the extracted common information and the unique information from each view are forced to be independent of each other, which, in turn, theoretically guarantees the effectiveness of our framework. To estimate information-theoretic quantities, our framework employs matrix-based R{é}nyi's $α$-order entropy functional, which forgoes the need for variational approximation and distributional estimation in high-dimensional space. Theoretical proof is provided that our framework can faithfully discover both common and unique information from multi-view data. Experiments on synthetic and seven benchmark real-world datasets demonstrate the superior performance of our proposed framework over state-of-the-art approaches.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2406.15043
PDF: https://arxiv.org/pdf/2406.15043
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4399991012

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OpenAlex ID: https://openalex.org/W4399991012

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DOI: https://doi.org/10.48550/arxiv.2406.15043

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Title: Discovering Common Information in Multi-view Data

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-06-21

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Authors: Q Zhang, Mingfei Lu, Shujian Yu, Jingmin Xin, Badong Chen

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Landing page: https://arxiv.org/abs/2406.15043

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PDF URL: https://arxiv.org/pdf/2406.15043

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Open access: Yes

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OA status: green

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OA URL: https://arxiv.org/pdf/2406.15043

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Concepts: Computer science, Data science, Data mining, Information retrieval

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Cited by: 0

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Related works (count): 10

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