Building off those ancient foundations and millennia of mathematical progress since, Justin Solomon is using modern geometric techniques to solve thorny problems that often seem to have nothing to do with shapes. The contents of these datasets might share some geometric structure depending on how the data are arranged in high-dimensional space, explains Solomon, an associate professor in the MIT Department of Electrical Engineering and Computer Science (EECS) and a member of the Computer Science and Artificial Intelligence Laboratory (CSAIL). Comparing them using geometric tools can bring insight, for example, into whether the same model will work on both datasets. 'The language we use to talk about data often involves distances, similarities, curvature, and shape ' exactly the kinds of things that we've been talking about in geometry forever. So, geometers have a lot to contribute to abstract problems in data science,' he says. About half of his team works on problems that involve...
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