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Full-Text Articles in Physical Sciences and Mathematics
Health And Safety Monitoring System, Cailin Simpson
Health And Safety Monitoring System, Cailin Simpson
Summer Community of Scholars Posters (RCEU and HCR Combined Programs)
No abstract provided.
Forcing Optimality And Brandt's Principle, Domenico Napoletani, Marco Panza, Daniele C. Struppa
Forcing Optimality And Brandt's Principle, Domenico Napoletani, Marco Panza, Daniele C. Struppa
Mathematics, Physics, and Computer Science Faculty Books and Book Chapters
We argue that many optimization methods can be viewed as representatives of “forcing”, a methodological approach that attempts to bridge the gap between data and mathematics on the basis of an a priori trust in the power of a mathematical technique, even when detailed, credible models of a phenomenon are lacking or do not justify the use of this technique. In particular, we show that forcing is implied in particle swarms optimization methods, and in modeling image processing problems through optimization. From these considerations, we extrapolate a principle for general data analysis methods, what we call ‘Brandt’s principle’, namely the …