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Sayan Mukherjee

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How Many Directions Determine a Shape: A VC Theory for Modulii Spaces of ShapesRobust and High-Dimensional Statistics (Simons Institute workshop, 2018)2018-10-29
Proves that turning meshes into direction-wise topological summaries is information-preserving: the Euler characteristic transform and persistent homology…
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Random Walks on Simplicial Complexes and Isoperimetric InequalitiesSpectral Algorithms: From Theory to Practice 20142014-10-27
Extends spectral graph ideas to simplicial complexes by working with the Hodge Laplacian and defining concrete up/down random walks on oriented k‑cells…
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