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Paper detail

Many physical laws are ridge functions

A ridge function is a function of several variables that is constant along certain directions in its domain. Using classical dimensional analysis, we show that many physical laws are ridge functions; this fact yields insight into the structure of physical laws and motivates further study into ridge functions and their properties. We also connect dimensional analysis to modern subspace-based techniques for dimension reduction, including active subspaces in deterministic approximation and sufficient dimension reduction in statistical regression.

preprint2016arXivOpen access
Paul G. ConstantineZachary del RosarioGianluca Iaccarino
math.NA
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Paul G. ConstantineZachary del RosarioGianluca Iaccarino

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