Including crystal structure attributes in machine learning models of formation energies via Voronoi tessellations

نویسندگان

  • Logan Ward
  • Ruoqian Liu
  • Amar Krishna
  • Vinay I. Hegde
  • Ankit Agrawal
  • Alok Choudhary
  • Chris Wolverton
چکیده

Caption: This figure compares the performance of three machine learning techniques that predict the properties of a material given its crystal structure: the Coulomb Matrix (CM), Partial Radial Distribution Function (PRDF), and the Voronoi-based ML method described in this report. Each model was trained using same set of 30000 entries from the OQMD, and the above plots show the performance of this model on the same validation set of 1000 compounds from the OQMD. Our technique performs better by every metric.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Symmetry-Break in Voronoi Tessellations

We analyse in a common framework the properties of the Voronoi tessellations resulting from regular 2D and 3D crystals and those of tessellations generated by Poisson distributions of points, thus joining on symmetry breaking processes and the approach to uniform random distributions of seeds. We perturb crystalline structures in 2D and 3D with a spatial Gaussian noise whose adimensional streng...

متن کامل

Percolation on random Johnson–Mehl tessellations and related models

We make use of the recent proof that the critical probability for percolation on random Voronoi tessellations is 1/2 to prove the corresponding result for random Johnson–Mehl tessellations, as well as for twodimensional slices of higher-dimensional Voronoi tessellations. Surprisingly, the proof is a little simpler for these more complicated models.

متن کامل

Centroidal Voronoi Diagrams and Euler-Lagrangian Methods for Astrophysical Simulations

Large scale cosmological simulations such as galaxy and star formation are of great interest to cosmologists. These simulations are done by consideration of relativistic, compressible, discontinuous fluids. Many techniques from particle based to adaptive meshing have been explored, each with advantages and disadvantages. Here, the limitations of centroidal Voronoi tessellations with these astro...

متن کامل

The Cosmic Foam: Stochastic Geometry and Spatial Clustering across the Universe

Galaxy redshift surveys have uncovered the existence of a salient and pervasive foamlike pattern in the distribution of galaxies on scales of a few up to more than a hundred Megaparsec. The significance of this frothy morphology of cosmic structure has been underlined by the results of computer simulations. These suggest the observed cellular patterns to be a prominent and natural aspect of cos...

متن کامل

Three-dimensional Random Voronoi Tessellations: From Cubic Crystal Lattices to Poisson Point Processes

We perturb the simple cubic (SC), body-centered cubic (BCC), and face-centered cubic (FCC) structures with a spatial Gaussian noise whose adimensional strength is controlled by the parameter α and analyze the statistical properties of the cells of the resulting Voronoi tessellations. We concentrate on topological properties, such as the number of faces, and on metric properties, such as the are...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017