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Found 8 papers, 3 papers with code
Recovering Manifold Structure Using Ollivier-Ricci Curvature
We introduce ORC-ManL, a new algorithm to prune spurious edges from nearest neighbor graphs using a criterion based on Ollivier-Ricci curvature and estimated metric distortion.
Resampling and averaging coordinates on data
We introduce algorithms for robustly computing intrinsic coordinates on point clouds.
An Intrinsic Approach to Scalar-Curvature Estimation for Point Clouds
We introduce an intrinsic estimator for the scalar curvature of a data set presented as a finite metric space.
A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
One of the most important such descriptors is {\em persistent homology}, which encodes the change in shape as a filtration parameter changes; a typical parameter is the feature scale.
MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data
Comparing and aligning large datasets is a pervasive problem occurring across many different knowledge domains.
Testing to distinguish measures on metric spaces
We study the problem of distinguishing between two distributions on a metric space; i. e., given metric measure spaces $({\mathbb X}, d, \mu_1)$ and $({\mathbb X}, d, \mu_2)$, we are interested in the problem of determining from finite data whether or not $\mu_1$ is $\mu_2$.
A polynomial-time relaxation of the Gromov-Hausdorff distance
The Gromov-Hausdorff distance provides a metric on the set of isometry classes of compact metric spaces.
The homotopy theory of cyclotomic spectra
We describe spectral model category structures on the categories of cyclotomic spectra and $p$-cyclotomic spectra (in orthogonal spectra) with triangulated homotopy categories.
K-Theory and Homology Algebraic Topology Primary 19D55, Secondary 18G55, 55Q91
