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07/06/2023
Computable Stability for Persistence Rank Function Machine Learning
Persistent homology barcodes and diagrams are a cornerstone of topologic...
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07/06/2023
Probability Metrics for Tropical Spaces of Different Dimensions
The problem of comparing probability distributions is at the heart of ma...
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05/15/2023
Wavelet-Based Density Estimation for Persistent Homology
Persistent homology is a central methodology in topological data analysi...
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10/18/2022
k-Means Clustering for Persistent Homology
Persistent homology is a fundamental methodology from topological data a...
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09/30/2022
Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
Within the context of topological data analysis, the problems of identif...
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08/13/2022
Learning Linear Non-Gaussian Polytree Models
In the context of graphical causal discovery, we adapt the versatile fra...
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07/16/2022
Rewiring Networks for Graph Neural Network Training Using Discrete Geometry
Information over-squashing is a phenomenon of inefficient information pr...
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07/08/2022
A Geometric Condition for Uniqueness of Fréchet Means of Persistence Diagrams
The Fréchet mean is an important statistical summary and measure of cent...
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04/19/2022
Approximating Persistent Homology for Large Datasets
Persistent homology is an important methodology from topological data an...
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10/07/2021
Curved Markov Chain Monte Carlo for Network Learning
We present a geometrically enhanced Markov chain Monte Carlo sampler for...
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05/31/2018