A Divide-and-Conquer Approach to Nanoparticle Global Optimisation Using Machine Learning.

Journal: Journal of chemical information and modeling
PMID:

Abstract

Global optimization of the structure of atomic nanoparticles is often hampered by the presence of many funnels on the potential energy surface. While broad funnels are readily encountered and easily exploited by the search, narrow funnels are more difficult to locate and explore, presenting a problem if the global minimum is situated in such a funnel. Here, a divide-and-conquer approach is applied to overcome the issue posed by the multifunnel effect using a machine learning approach, without using knowledge of the potential energy surface. This approach begins with a truncated exploration to gather coarse-grained knowledge of the potential energy surface. This is then used to train a machine learning Gaussian mixture model to divide up the potential energy surface into separate regions, with each region then being explored in more detail (or conquered) separately. This scheme was tested on a variety of multifunnel systems and yielded significant improvements to the times taken to locate the global minima of Lennard-Jones (LJ) nanoparticles, LJ and LJ, as well as two metallic systems, Au and Pd. However, difficulties were encountered for LJ, providing insight into how the scheme could be further improved.

Authors

  • Nicholas B Smith
    Department of Chemistry, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand.
  • Anna L Garden
    Department of Chemistry, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand.