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vajraadhvan OP t1_iss3bb6 wrote

Approximation theory traditionally looks at the structure of function spaces under addition; but approximation spaces under composition are underexamined. Studying approximation spaces under composition may quantitatively explain the outperformance of neural networks, reveal links to dynamical systems, and suggest related architectures.

(Edit: Following the work of Weinan E, Chao Ma, Lei Wu, Ronald DeVore, Gitta Kutyniok, et al.)

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