FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2793504805> ?p ?o ?g. }

• W2793504805 abstract "We introduce a nonparametric way to estimate the global probability density function for a random persistence diagram. Precisely, a kernel density function centered at a given persistence diagram and a given bandwidth is constructed. Our approach encapsulates the number of topological features and considers the appearance or disappearance of features near the diagonal in a stable fashion. In particular, the structure of our kernel individually tracks long persistence features, while considering features near the diagonal as a collective unit. The choice to describe short persistence features as a group reduces computation time while simultaneously retaining accuracy. Indeed, we prove that the associated kernel density estimate converges to the true distribution as the number of persistence diagrams increases and the bandwidth shrinks accordingly. We also establish the convergence of the mean absolute deviation estimate, defined according to the bottleneck metric. Lastly, examples of kernel density estimation are presented for typical underlying datasets." @default.
• W2793504805 created "2018-03-29" @default.
• W2793504805 creator A5048203514 @default.
• W2793504805 creator A5048292724 @default.
• W2793504805 date "2018-03-07" @default.
• W2793504805 modified "2023-09-27" @default.
• W2793504805 title "Nonparametric Estimation of Probability Density Functions of Random Persistence Diagrams" @default.
• W2793504805 cites W152787284 @default.
• W2793504805 cites W1680861744 @default.
• W2793504805 cites W1753705553 @default.
• W2793504805 cites W1842708415 @default.
• W2793504805 cites W2027130342 @default.
• W2793504805 cites W2033896831 @default.
• W2793504805 cites W2037613900 @default.
• W2793504805 cites W2037817770 @default.
• W2793504805 cites W2047158247 @default.
• W2793504805 cites W2076183637 @default.
• W2793504805 cites W2102368730 @default.
• W2793504805 cites W2122101130 @default.
• W2793504805 cites W2123979496 @default.
• W2793504805 cites W2129905273 @default.
• W2793504805 cites W2153986241 @default.
• W2793504805 cites W2161491327 @default.
• W2793504805 cites W2187925611 @default.
• W2793504805 cites W2223193774 @default.
• W2793504805 cites W2236090215 @default.
• W2793504805 cites W2244862112 @default.
• W2793504805 cites W2272065411 @default.
• W2793504805 cites W2498184556 @default.
• W2793504805 cites W2611241299 @default.
• W2793504805 cites W2626112777 @default.
• W2793504805 cites W2725792925 @default.
• W2793504805 cites W2747890134 @default.
• W2793504805 cites W2797602122 @default.
• W2793504805 cites W2952711884 @default.
• W2793504805 cites W2953227203 @default.
• W2793504805 cites W2962706934 @default.
• W2793504805 cites W2962912288 @default.
• W2793504805 cites W2964048246 @default.
• W2793504805 cites W3013843370 @default.
• W2793504805 cites W3040586665 @default.
• W2793504805 cites W3140579943 @default.
• W2793504805 cites W2797204481 @default.
• W2793504805 hasPublicationYear "2018" @default.
• W2793504805 type Work @default.
• W2793504805 sameAs 2793504805 @default.
• W2793504805 citedByCount "3" @default.
• W2793504805 countsByYear W27935048052018 @default.
• W2793504805 countsByYear W27935048052019 @default.
• W2793504805 crossrefType "posted-content" @default.
• W2793504805 hasAuthorship W2793504805A5048203514 @default.
• W2793504805 hasAuthorship W2793504805A5048292724 @default.
• W2793504805 hasConcept C102366305 @default.
• W2793504805 hasConcept C105795698 @default.
• W2793504805 hasConcept C118615104 @default.
• W2793504805 hasConcept C121332964 @default.
• W2793504805 hasConcept C121864883 @default.
• W2793504805 hasConcept C122280245 @default.
• W2793504805 hasConcept C12267149 @default.
• W2793504805 hasConcept C130367717 @default.
• W2793504805 hasConcept C154945302 @default.
• W2793504805 hasConcept C185429906 @default.
• W2793504805 hasConcept C189508267 @default.
• W2793504805 hasConcept C195699287 @default.
• W2793504805 hasConcept C197055811 @default.
• W2793504805 hasConcept C200695384 @default.
• W2793504805 hasConcept C2524010 @default.
• W2793504805 hasConcept C28826006 @default.
• W2793504805 hasConcept C33923547 @default.
• W2793504805 hasConcept C41008148 @default.
• W2793504805 hasConcept C71134354 @default.
• W2793504805 hasConcept C74193536 @default.
• W2793504805 hasConcept C84894716 @default.
• W2793504805 hasConceptScore W2793504805C102366305 @default.
• W2793504805 hasConceptScore W2793504805C105795698 @default.
• W2793504805 hasConceptScore W2793504805C118615104 @default.
• W2793504805 hasConceptScore W2793504805C121332964 @default.
• W2793504805 hasConceptScore W2793504805C121864883 @default.
• W2793504805 hasConceptScore W2793504805C122280245 @default.
• W2793504805 hasConceptScore W2793504805C12267149 @default.
• W2793504805 hasConceptScore W2793504805C130367717 @default.
• W2793504805 hasConceptScore W2793504805C154945302 @default.
• W2793504805 hasConceptScore W2793504805C185429906 @default.
• W2793504805 hasConceptScore W2793504805C189508267 @default.
• W2793504805 hasConceptScore W2793504805C195699287 @default.
• W2793504805 hasConceptScore W2793504805C197055811 @default.
• W2793504805 hasConceptScore W2793504805C200695384 @default.
• W2793504805 hasConceptScore W2793504805C2524010 @default.
• W2793504805 hasConceptScore W2793504805C28826006 @default.
• W2793504805 hasConceptScore W2793504805C33923547 @default.
• W2793504805 hasConceptScore W2793504805C41008148 @default.
• W2793504805 hasConceptScore W2793504805C71134354 @default.
• W2793504805 hasConceptScore W2793504805C74193536 @default.
• W2793504805 hasConceptScore W2793504805C84894716 @default.
• W2793504805 hasLocation W27935048051 @default.
• W2793504805 hasOpenAccess W2793504805 @default.
• W2793504805 hasPrimaryLocation W27935048051 @default.
• W2793504805 hasRelatedWork W1493750041 @default.
• W2793504805 hasRelatedWork W2041236288 @default.
• W2793504805 hasRelatedWork W2073701209 @default.

• next