Extracting Interpretable Equations from Data

dc.contributor.authorEriksson, Adrian
dc.contributor.authorFrostelind, Filip
dc.contributor.departmentChalmers tekniska högskola / Institutionen för fysiksv
dc.contributor.examinerGustafsson, Kristian
dc.contributor.supervisorMancha, Ignacio
dc.date.accessioned2020-06-24T11:13:08Z
dc.date.available2020-06-24T11:13:08Z
dc.date.issued2020sv
dc.date.submitted2020
dc.description.abstractExpressing relationships within data using mathematical formulas lies at the centre of scientific discovery. In recent years symbolic regression has been proposed as a tool for discovering relationships in data in order to convey information regarding system dynamics. In this study an algorithm for symbolic regression using genetic programming is developed and tested on a number of iconic equations from physics (50 equations from the Feynman lectures on physics) and breathing data from a ventilator. Two important features of genetic algorithms are investigated, namely non-disruptive bloat control and sampling methods for breeding. The results shows that the developed algorithm performs on-par with cutting-edge commercial genetic programming software and that interesting features can be extracted from input data. Further, an enhanced implementation of substitution with an approximate terminal (SAT) is performed with promising results, reducing bloat without hindering adaptation. Lastly, the impacts of roulette, linear rank and Boltzmann selection are investigated, and we find that they all produce similar results, but with different strategies regarding exploration and exploitation.sv
dc.identifier.coursecodeTIFX05sv
dc.identifier.urihttps://hdl.handle.net/20.500.12380/300998
dc.language.isoengsv
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectGenetic Programmingsv
dc.subjectSymbolic Regressionsv
dc.subjectStochastic Optimisationsv
dc.subjectMachine Learningsv
dc.subjectBloat Controlsv
dc.subjectBoltzmann Samplingsv
dc.subjectSAT-GPsv
dc.subjectTOPSISsv
dc.titleExtracting Interpretable Equations from Datasv
dc.type.degreeExamensarbete för masterexamensv
dc.type.uppsokH
local.programmeApplied physics (MPAPP), MSc
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