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Found 3 papers, 2 papers with code
Euler Characteristic Tools For Topological Data Analysis
In this article, we study Euler characteristic techniques in topological data analysis.
Statistical learning on measures: an application to persistence diagrams
We consider a binary supervised learning classification problem where instead of having data in a finite-dimensional Euclidean space, we observe measures on a compact space $\mathcal{X}$.
Topologically penalized regression on manifolds
We study a regression problem on a compact manifold M. In order to take advantage of the underlying geometry and topology of the data, the regression task is performed on the basis of the first several eigenfunctions of the Laplace-Beltrami operator of the manifold, that are regularized with topological penalties.
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