https://sfb-higher-invariants.app.uni-regensburg.de/index.php?action=history&feed=atom&title=The_fiber_of_Persistent_Homology 2026-05-17T11:40:22Z Revision history for this page on the wiki MediaWiki 1.39.11 https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=The_fiber_of_Persistent_Homology&diff=125&oldid=prev 2022-05-06T15:06:02Z

<p>Created page with &quot;&#039;&#039;&#039;Jacob Leygonie&#039;&#039;&#039; (Oxford): &#039;&#039;The fiber of Persistent Homology&#039;&#039; Abstract: Persistent Homology (PH) is a central descriptor in Topological Data Analysis (TDA) that encodes...&quot;</p> <p><b>New page</b></p><div>&#039;&#039;&#039;Jacob Leygonie&#039;&#039;&#039; (Oxford): &#039;&#039;The fiber of Persistent Homology&#039;&#039;<br /> <br /> Abstract: Persistent Homology (PH) is a central descriptor in Topological Data Analysis (TDA) that encodes the topological properties of a real-valued function on a space by means of its sub-level sets. But in fact it remains mysterious what information is really captured by PH and what information is lost; formally this means that the fiber of PH is not understood. Apart from its relevance to the numerous applications of Persistent Homology, we will see that this fiber is a beautiful object.</div>

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