[This blog died for a few months. I apologize. I am back now, and hope to continue.]
Today I worked with Soledad Villar (JHU) on our project to execute regressions (and other machine-learning methods) that are constrained to be exactly symmetric (or equivariant) with respect to units and dimensions. Our target problem is a regression involving ecologies of arid regions. There are differential-equation models for this, and all the inputs to the equations have interesting units (such as water volume per area, and grams of vegitation, and so on). It was fun to do some real coding again, after days of grading final exams!
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