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Inspired by recent research on the normalized p-Laplacian operator on graphs, we investigate the Cauchy problem associated with these operators. We establish the existence and uniqueness of solutions to diffusion problems and explore applications in image processing, 3D point cloud processing, and data classification.

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The Game p-Laplacian Evolution Equation on Graphs: From Image Processing to Machine Learning Applications

  • 会议论文

  • 发表日期：

    2025年

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  • Yassine Belkheiri,
  • Abdelwahhab Boudjelal,
  • Abderrahim Elmoataz,
  • Sophie Schüpp

摘要

Inspired by recent research on the normalized p-Laplacian operator on graphs, we investigate the Cauchy problem associated with these operators. We establish the existence and uniqueness of solutions to diffusion problems and explore applications in image processing, 3D point cloud processing, and data classification.