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In 1960, E. Wigner published a paper entitled "The Unreasonable Effectiveness of Mathematics in the Natural Sciences". Theoretical mathematical structures pave the way to further advances and empirical predictions in applied sciences. Recently, for instance, applications of topology were discussed in Why does topology rarely come up outside of topology?, in the domain of data science, or data analysis/mining.

Tropical geometry

I recently read basic papers on tropical geometry (above picture origin); max-plus algebra bears similarities with image processing with mathematical morphology, but I have not seen clear connections yey. Are there interesting potential applications of this field in applied domains?

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Algebraic Statistics for Computational Biology by Lior Pachter and Bernd Sturmfels, published by Cambridge University Press in 2005, applies tropical geometry to philogenetic trees.

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    $\begingroup$ You win by resistance to fierce competition :) $\endgroup$ – Laurent Duval Jun 12 '16 at 9:27

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