
Geometric Approaches on Persistent Homology
We introduce several geometric notions, including thickthin decompositi...
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Topology Applied to Machine Learning: From Global to Local
Through the use of examples, we explain one way in which applied topolog...
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Lions and contamination, triangular grids, and Cheeger constants
Suppose each vertex of a graph is originally occupied by contamination, ...
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Support Vector Machines and Radon's Theorem
A support vector machine (SVM) is an algorithm which finds a hyperplane ...
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Capturing Dynamics of TimeVarying Data via Topology
One approach to understanding complex data is to study its shape through...
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An Iterative Method for Structured Matrix Completion
The task of fillingin or predicting missing entries of a matrix, from a...
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Multidimensional Scaling on Metric Measure Spaces
Multidimensional scaling (MDS) is a popular technique for mapping a fini...
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On VietorisRips complexes of planar curves
A VietorisRips complex is a way to thicken a (possibly discrete) metri...
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VietorisRips and Cech Complexes of Metric Gluings
We study VietorisRips and Cech complexes of metric wedge sums and metri...
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Henry Adams
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