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08/04/2023
An Intrinsic Approach to Scalar-Curvature Estimation for Point Clouds
We introduce an intrinsic estimator for the scalar curvature of a data s...
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06/19/2023
A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
Topological data analysis (TDA) is an area of data science that focuses ...
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04/04/2023
A statistical framework for analyzing shape in a time series of random geometric objects
We introduce a new framework to analyze shape descriptors that capture t...
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06/04/2022
Efficient Approximation of Multiparameter Persistence Modules
Topological Data Analysis is a growing area of data science, which aims ...
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10/19/2020
Stability of 2-Parameter Persistent Homology
The Čech and Rips constructions of persistent homology are stable with r...
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01/06/2020
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 a...
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01/06/2020
MREC: a fast and versatile framework for aligning and matching data with applications to single cell molecular data
Comparing and aligning large datasets is a pervasive problem occurring a...
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02/04/2018
Testing to distinguish measures on metric spaces
We study the problem of distinguishing between two distributions on a me...
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10/17/2016
A polynomial-time relaxation of the Gromov-Hausdorff distance
The Gromov-Hausdorff distance provides a metric on the set of isometry c...
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06/04/2015