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pro vyhledávání: '"Barth, Lukas Silvester"'
This work introduces IsUMap, a novel manifold learning technique that enhances data representation by integrating aspects of UMAP and Isomap with Vietoris-Rips filtrations. We present a systematic and detailed construction of a metric representation
Externí odkaz:
http://arxiv.org/abs/2407.17835
Autor:
Barth, Lukas Silvester, Fatemeh, Fahimi, Joharinad, Parvaneh, Jost, Jürgen, Keck, Janis, Mikhail, Thomas Jan
In this article, we expand upon the concepts introduced in \cite{Spivak09} about the relationship between the category $\mathbf{UM}$ of uber metric spaces and the category $\mathbf{sFuz}$ of fuzzy simplicial sets. We show that fuzzy simplicial sets c
Externí odkaz:
http://arxiv.org/abs/2406.11154
Autor:
Barth, Lukas Silvester
In this contribution, a mathematical framework is constructed to relate and compare non-linear partial differential equations (PDEs) in the category of smooth manifolds. In particular, it can be used to compare those aspects of field theories (e.g. o
Externí odkaz:
http://arxiv.org/abs/1910.08614