Dimensionally Constrained Symbolic Regression

Extraction of a physical parameter from data is an area where application of symbolic regression can be useful, especially if the relationship between the parameter of interest and measured variables are contrived and nonlinear [2]. In the problem of mass measurement of a particle in high-energy physics, the relationship is determined exactly if all the decayed particles are detected and measured by the detector. The problem becomes nontrivial if some of the particles escape detection. In W boson mass measurement with W lν at hadron colliders, the neutrino (ν) escapes detection, but its transverse components of the momentum are measured indirectly.