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Simplicial complexes of finite fuzzy sets. IPMU’04, Perugia, 4-9 July 2004. Fabio Cuzzolin. Image and Sound Processing Group. Dipartimento di Elettronica e Informazione – Politecnico di Milano. 2. …presenting the paper. 3. …planning the future. today we’ll be …. 1.
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Simplicial complexes of finite fuzzy sets IPMU’04, Perugia, 4-9 July 2004 Fabio Cuzzolin Image and Sound Processing Group Dipartimento di Elettronica e Informazione – Politecnico di Milano
2 …presenting the paper 3 …planning the future today we’ll be … 1 …introducing our research
… about the author • PhD student, University of Padova, Department of Computer Science (NAVLAB laboratory) with Ruggero Frezza • Visiting student, Washington University in St. Louis (ESSRL laboratory) • Visiting student, UCLA, Los Angeles (VisionLab) with Stefano Soatto • Image and Sound Processing Group, Politecnico di Milano
Computer vision Discrete mathematics • object and body tracking • data association • gesture and action recognition • linear independence on lattices Belief functions and imprecise probabilities • geometric approach • algebraic analysis • total belief problem … the research research
2 Simplicial complexes of consonant b.f.
plausibility functions or upper probabilities Probability and plausibility assignments • belief functions or lower probabilities A B1 B2
it has the shape of a simplex Belief space • the space of all the belief functions on a given frame • each subset A A-th coordinate s(A) in an Euclidean space
3 Open research
