Topics in Applied Algebraic Topology with a Measure-Theoretic Perspective
There have been a growing number of applications of algebraic topology in recent years to data analysis and machine learning. Persistent homology, one of the main such applications, constructs a filtered simplicial complex from a finite dataset, often ...
Gillespie, Patrick D
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The research of mean equicontinuity, mean sensitivity, and shadowing property. [PDF]
HeliyonJi Z.
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The topology of representational geometry. [PDF]
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Improved FTIR-based classification for food authentication using a topological ensemble framework. [PDF]
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Persistent Topological Laplacians-A Survey. [PDF]
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Topological data analysis captures horizontal gene transfer in antimicrobial resistance gene families among clinically relevant bacteria. [PDF]
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Age-dependent patterns of cardiac complexity unveiled by topological data analysis of pediatric heart rate variability. [PDF]
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Relational Persistent Homology for Multispecies Data with Application to the Tumor Microenvironment. [PDF]
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Molecular Complexity Constrained Early Amino Acid Recruitment into the Genetic Code. [PDF]
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Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups. [PDF]
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