🍩 Database of Original & Non-Theoretical Uses of Topology

1. Kernel Method for Persistence Diagrams via Kernel Embedding and Weight Factor (2017)

   Genki Kusano, Kenji Fukumizu, Yasuaki Hiraoka

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   • Granular packing system
   • Packing
   • Kernel
   • Kernel embedding
   • Persistence diagrams
   • Persistence images
   • Persistence landscape
   • Persistence weighted Gaussian kernel
   • Persistent homology

2. Persistence Weighted Gaussian Kernel for Topological Data Analysis (2016)

   Genki Kusano, Yasuaki Hiraoka, Kenji Fukumizu

   Abstract

   Topological data analysis (TDA) is an emerging mathematical concept for characterizing shapes in complex data. In TDA, persistence diagrams are widely recognized as a useful descriptor of data, and...

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   • Oxide glasses
   • Protein
   • Circles
   • Persistence Diagrams
   • proteins
   • Kernel
   • Persistence diagrams
   • Persistent homology