Fetching the paper…
Reading the bibliography…
We investigate the use of invariant polynomials in the construction of data-driven interatomic potentials for material systems.
W. Burgers, Physica 1
1934
Earlier work this paper cites.
J. A. Moriarty, Phys. Rev. B 16
1977
Earlier work this paper cites.
R. G. Parr, in Horizons of Quantum Chemistry , edited by K. Fukui and B. Pullman (Springer Netherlands, Dordrecht, 1980) pp. 5–15
1980
Earlier work this paper cites.
J. A. Moriarty, Phys. Rev. B 26
1982
Earlier work this paper cites.
J. N. Murrell, Molecular potential energy functions (J. Wiley, 1984)
1984
Earlier work this paper cites.
F. H. Stillinger and T. A. Weber, Phys. Rev. B Condens. Matter 31
1985
Earlier work this paper cites.
A. Schmelzer and J. N. Murrell, Int. J. Quantum Chem. 28
1985
Earlier work this paper cites.
J. F. Ziegler, J. P. Biersack, U. Littmark, and Others, “The stopping and range of ions in solids, vol. 1,” (1985)
1985
Earlier work this paper cites.
T. F. Chan, Linear Algebra Appl. 88-89
1987
Earlier work this paper cites.
J. A. Moriarty, Phys. Rev. B 38
1988
Earlier work this paper cites.
H. Niederreiter, Journal of Number Theory 30
1988
Earlier work this paper cites.
M. J. Bramley and T. Carrington Jr., The Journal of Chemical Physics 99
1993
Earlier work this paper cites.
F. Ercolessi and J. B. Adams, EPL (Europhysics Letters) 26
1994
Earlier work this paper cites.
A. K. Jain, Jianchang Mao, and K. M. Mohiuddin, Computer 29
1996
Earlier work this paper cites.
H. Partridge and D. W. Schwenke, The Journal of Chemical Physics 106
1997
Earlier work this paper cites.
W. Bosma, J. Cannon, and C. Playoust, J. Symbolic Comput. 24
1997
Earlier work this paper cites.
H. Rabitz and Ö. F. Aliş, J. Math. Chem. 25
1999
Earlier work this paper cites.
M. Finnis, Progress in Materials Science 49
2004
Earlier work this paper cites.
K. J. Caspersen, A. Lew, M. Ortiz, and E. A. Carter, Physical review letters 93
2004
Earlier work this paper cites.
X. Huang, B. J. Braams, and J. M. Bowman, The Journal of Chemical Physics 122
2005
Cited alongside, same era.
C. E. Rasmussen and C. K. I. Williams, Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning) (The MIT Press, 2005)
2005
Cited alongside, same era.
Z. Xie, B. J. Braams, and J. M. Bowman, The Journal of Chemical Physics 122
2005
Cited alongside, same era.
S. J. Clark, M. D. Segall, C. J. Pickard, P. J. Hasnip, M. I. J. Probert, K. Refson, and M. C. Payne, Zeitschrift fur Kristallographie 220
2005
Cited alongside, same era.
C. M. Bishop, Pattern Recognition and Machine Learning (Information Science and Statistics) (Springer-Verlag, Berlin, Heidelberg, 2006)
2006
Cited alongside, same era.
C. Qu, R. Prosmiti, and J. M. Bowman, Theor. Chem. Acc. 132
2013
Later among the works it cites.
W. J. Szlachta, A. P. Bartók, and G. Csányi, Phys. Rev. B Condens. Matter 90
2014
Later among the works it cites.
A. P. Bartók and G. Csányi, Int. J. Quantum Chem. 115
2015
Later among the works it cites.
A. Thompson, L. Swiler, C. Trott, S. Foiles, and G. Tucker, Journal of Computational Physics 285
2015
Later among the works it cites.
H. Derksen and G. Kemper, Computational Invariant Theory (Springer, 2015)
2015
Later among the works it cites.
A. Togo and I. Tanaka, Scripta Materialia 108
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Griebel, in Foundations of Computational Mathematics (FoCM05), Santander , edited by L. Pardo, A. Pinkus, E. Suli, and M. Todd (Cambridge University Press, 2006) pp. 106–161
2006
Cited alongside, same era.
A. R. Sharma, J. Wu, B. J. Braams, S. Carter, R. Schneider, B. Shepler, and J. M. Bowman, J. Chem. Phys. 125
2006
Cited alongside, same era.
J. Behler and M. Parrinello, Phys. Rev. Lett. 98
2007
Cited alongside, same era.
W. Cencek, K. Szalewicz, C. Leforestier, R. van Harrevelt, and A. van der Avoird, Phys. Chem. Chem. Phys. 10
2008
Cited alongside, same era.
B. J. Braams and J. M. Bowman, Int. Rev. Phys. Chem. 28
2009
Cited alongside, same era.
A. P. Bartók, M. C. Payne, R. Kondor, and G. Csányi, Physical review letters 104
2010
Cited alongside, same era.
P. Atkins and R. Friedman, Molecular Quantum Mechanics (OUP Oxford, 2011)
2011
Cited alongside, same era.
2017
Later among the works it cites.
J. Behler, Angewandte Chemie International Edition 56
2017
Later among the works it cites.
V. L. Deringer and G. Csányi, Physical Review B 95
2017
Later among the works it cites.
E. V. Podryabinkin and A. V. Shapeev, Comput. Mater. Sci. 140
2017
Later among the works it cites.
A. P. Bartók, J. Kermode, N. Bernstein, and G. Csányi, Physical Review X 8
2018
Later among the works it cites.
C. Qu, Q. Yu, and J. M. Bowman, Annual Review of Physical Chemistry 69
2018
Later among the works it cites.
T. T. Nguyen, E. Székely, G. Imbalzano, J. Behler, G. Csányi, M. Ceriotti, A. W. Götz, and F. Paesani, J. Chem. Phys. 148
2018
Later among the works it cites.
A. Glielmo, C. Zeni, and A. De Vita, Phys. Rev. B: Condens. Matter Mater. Phys. (2018)
2018
Later among the works it cites.
D. Dragoni, T. D. Daff, G. Csányi, and N. Marzari, Physical Review Materials 2
2018
Later among the works it cites.
A. Nandi, C. Qu, and J. M. Bowman, Journal of Chemical Theory and Computation 15
2019
Closest in time.
R. Drautz, Phys. Rev. B 99
2019
Closest in time.
C. Qu and J. M. Bowman, J. Chem. Phys. 150
2019
Closest in time.