Exploring the robust extrapolation of high-dimensional machine learning potentials
Claudio Zeni, Andrea Anelli, Aldo Glielmo, Kevin Rossi
Abstract
We show that, contrary to popular assumptions, predictions from machine learning potentials built upon high-dimensional atom-density representations almost exclusively occur in regions of the representation space which lie outside the convex hull defined by the training set points. We then propose a perspective to rationalize the domain of robust extrapolation and accurate prediction of atomistic machine learning potentials in terms of the probability density induced by training points in the representation space.
Topics & Concepts
ExtrapolationConvex hullRepresentation (politics)Perspective (graphical)Set (abstract data type)Computer scienceSpace (punctuation)Artificial intelligenceDomain (mathematical analysis)Machine learningRegular polygonAlgorithmMathematicsMathematical analysisGeometryOperating systemPoliticsProgramming languageLawPolitical scienceMachine Learning in Materials ScienceAdvanced Electron Microscopy Techniques and ApplicationsElectronic and Structural Properties of Oxides