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Tag: angular

  • Angular Graph Fractional Fourier Transform: Theory and Application

    Angular Graph Fractional Fourier Transform: Theory and Application arXiv:2511.16111v1 Announce Type: new Abstract: Graph spectral representations are fundamental in graph signal processing, offering a rigorous framework for analyzing and processing graph-structured data. The graph fractional Fourier transform (GFRFT) extends the classical graph Fourier transform (GFT) with a fractional-order parameter, enabling flexible spectral analysis while preserving…

  • Wasserstein-Aitchison GAN for angular measures of multivariate extremes

    Wasserstein-Aitchison GAN for angular measures of multivariate extremes arXiv:2504.21438v1 Announce Type: new Abstract: Economically responsible mitigation of multivariate extreme risks — extreme rainfall in a large area, huge variations of many stock prices, widespread breakdowns in transportation systems — requires estimates of the probabilities that such risks will materialize in the future. This paper develops…

  • A comparison of generative deep learning methods for multivariate angular simulation

    A comparison of generative deep learning methods for multivariate angular simulation arXiv:2504.21505v1 Announce Type: new Abstract: With the recent development of new geometric and angular-radial frameworks for multivariate extremes, reliably simulating from angular variables in moderate-to-high dimensions is of increasing importance. Empirical approaches have the benefit of simplicity, and work reasonably well in low dimensions,…