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In this paper, we introduce a Generalized Biased Infinity Laplacian on graphs, which is an interpolation between two eikonal operators. Within this framework, we investigate evolution equations governed by this class of operators, establishing the existence and uniqueness of their solutions. Finally, we explore the application of these operators to general functions for solving various problems in machine learning.

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An Evolution Equation Involving the Generalized Biased Infinity Laplacian on Graphs

  • 会议论文

  • 发表日期：

    2025年

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  • Yassine Belkheiri,
  • Sophie Schüpp,
  • Abderrahim Elmoataz

摘要

In this paper, we introduce a Generalized Biased Infinity Laplacian on graphs, which is an interpolation between two eikonal operators. Within this framework, we investigate evolution equations governed by this class of operators, establishing the existence and uniqueness of their solutions. Finally, we explore the application of these operators to general functions for solving various problems in machine learning.