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Dirac signal processing of higher-order topological signals
We discuss in detail the properties of the Dirac operator including its spectrum and the chirality of its eigenvectors and we adopt this operator to formulate Dirac signal processing that can filter noisy signals defined on nodes, links and triangles of simplicial complexes.
Calabi-Yau Metrics, Energy Functionals and Machine-Learning
We apply machine learning to the problem of finding numerical Calabi-Yau metrics.
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