A Comparison of Pareto Sets and Jacobi Sets
作者： Lars Huettenberger , Christoph Garth
DOI: 10.1007/978-3-662-44900-4_8
关键词: Reeb graph 、 Topology (chemistry) 、 Equivalence relation 、 Pareto principle 、 Morse theory 、 Decomposition (computer science) 、 Theoretical computer science 、 Computer science 、 Complex data type 、 Context (language use)
摘要: Topological analysis of multifields is an approaches to find meaningful, intrinsic structures in complex data. Methods introduced previous years were usually evaluated separately or rather informally. However, aid the decision which method best suited for a particular kind data, it important compare and put them into context with each other. Using results from optimization mathematics, this paper finds subset equivalence relations between Jacobi Sets Pareto indicates even further Morse decomposition. This first step towards creation new tools multifield topology insight about how topological are connected
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