In the context of machine learning research, science and engineering are not distinct concepts. You don't do "science" by thinking very hard about platonic ML concepts and then publishing your thoughts. You do science by engineering systems that test small ideas, iteratively.
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Aeronautics /subset physics /subset mathematics. I can’t say all problems in aeronautics can be stated as a diff. Eqs. Problem, but in the case of ML problems are usually stated as the minimization of an expectation.
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If you ignore that pesky "deployment" part, aeronautics is fluid dynamics, where essentially all problems are stated as differential equations. QED
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