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06/11/2023
A Normalized Bottleneck Distance on Persistence Diagrams and Homology Preservation under Dimension Reduction
Persistence diagrams are used as signatures of point cloud data assumed ...
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09/04/2021
SFCDecomp: Multicriteria Optimized Tool Path Planning in 3D Printing using Space-Filling Curve Based Domain Decomposition
We explore efficient optimization of toolpaths based on multiple criteri...
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07/09/2021
A Tight Max-Flow Min-Cut Duality Theorem for Non-Linear Multicommodity Flows
The Max-Flow Min-Cut theorem is the classical duality result for the Max...
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06/25/2021
Pheno-Mapper: An Interactive Toolbox for the Visual Exploration of Phenomics Data
High-throughput technologies to collect field data have made observation...
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05/05/2021
Stitch Fix for Mapper and Topological Gains
The mapper construction is a powerful tool from topological data analysi...
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04/15/2020
The Maximum Distance Problem and Minimal Spanning Trees
Given a compact E ⊂ℝ^n and s > 0, the maximum distance problem seeks a c...
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08/19/2019
Continuous Toolpath Planning in Additive Manufacturing
We develop a framework that creates a new polygonal mesh representation ...
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06/19/2019
Jaccard Filtration and Stable Paths in the Mapper
The contributions of this paper are two-fold. We define a new filtration...
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12/06/2018
Euler Transformation of Polyhedral Complexes
We propose an Euler transformation that transforms a given d-dimensional...
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02/14/2018
Median Shapes
We introduce and begin to explore the mean and median of finite sets of ...
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12/29/2017
Interesting Paths in the Mapper
The Mapper produces a compact summary of high dimensional data as a simp...
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07/14/2017
