
Reeb Graph Metrics from the Ground Up
The Reeb graph has been utilized in various applications including the a...
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Realizable piecewise linear paths of persistence diagrams with Reeb graphs
Reeb graphs are widely used in a range of fields for the purposes of ana...
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Automatic Tree Ring Detection using Jacobi Sets
Tree ring widths are an important source of climatic and historical data...
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Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Bifurcations in dynamical systems characterize qualitative changes in th...
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A family of metrics from the truncated smoothing of Reeb graphs
In this paper, we introduce an extension of smoothing on Reeb graphs, wh...
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A Relative Theory of Interleavings
The interleaving distance, although originally developed for persistent ...
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Graph Similarity Using PageRank and Persistent Homology
The PageRank of a graph is a scalar function defined on the node set of ...
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Chatter Diagnosis in Milling Using Supervised Learning and Topological Features Vector
Chatter detection has become a prominent subject of interest due to its ...
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Adaptive Partitioning for Template Functions on Persistence Diagrams
As the field of Topological Data Analysis continues to show success in t...
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Probabilistic Convergence and Stability of Random Mapper Graphs
We study the probabilistic convergence between the mapper graph and the ...
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A Structural Average of Labeled Merge Trees for Uncertainty Visualization
Physical phenomena in science and engineering are frequently modeled usi...
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Intrinsic Interleaving Distance for Merge Trees
Merge trees are a type of graphbased topological summary that tracks th...
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Persistent Homology of Complex Networks for Dynamic State Detection
In this paper we develop a novel Topological Data Analysis (TDA) approac...
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Approximating Continuous Functions on Persistence Diagrams Using Template Functions
The persistence diagram is an increasingly useful tool arising from the ...
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Using Persistent Homology to Quantify a Diurnal Cycle in Hurricane Felix
The diurnal cycle of tropical cyclones (TCs) is a daily cycle in clouds ...
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Computing Wasserstein Distance for Persistence Diagrams on a Quantum Computer
Persistence diagrams are a useful tool from topological data analysis wh...
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Topological Data Analysis for True Step Detection in Piecewise Constant Signals
This paper introduces a simple yet powerful approach based on topologica...
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Chatter Classification in Turning Using Machine Learning and Topological Data Analysis
Chatter identification and detection in machining processes has been an ...
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The ℓ^∞Cophenetic Metric for Phylogenetic Trees as an Interleaving Distance
There are many metrics available to compare phylogenetic trees since thi...
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Elizabeth Munch
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