Work

Many physical laws are ridge functions

Year: 2016

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1605.07974

Authors: Constantine, Paul G., del Rosario, Zachary, Iaccarino, Gianluca

Institutions: Colorado School of Mines, Stanford University

Language: English

Topic: Model Reduction and Neural Networks

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, U.S. Department of Defense

Awards: G1868717214, G4475131919

OpenAlex ID: W2394984464

Cites: 11

Cited by: 8

Related to: 10