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Image Credit: Arxiv

Learning Kronecker-Structured Graphs from Smooth Signals

  • Graph learning, a key problem in graph signal processing, is crucial for applying the Fourier transform to non-Euclidean domains with unknown structures.
  • There is a growing interest in product graphs for modeling dependencies across different data dimensions, but current methods are limited in modeling diverse dependency structures.
  • This paper examines learning a Kronecker-structured product graph from smooth signals, which is more intricate than the Cartesian product but poses challenges in optimization.
  • An alternating optimization scheme is proposed to address the non-convex graph learning problem, with theoretical guarantees for convergence and superior performance shown in experiments.

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