Usage of Neural Networks for ASM Research


  • Hayk E. Nahapetyan Institute for Informatics and Automation Problems of NAS RA



Neural Networks, CA, ASM, Neuroph Studio, Limiting shape


Purpose of this paper is to describe the possible usage of artificial neural networks for Abelian Sandpile model research. For developing neural networks, Neuroph Studio has been chosen, and Abelian sandpile model has been considered on 2-dimensional grid.


P. Bak, C. Tang and K. Wiesenfeld,“Self-organized criticality: An explanation of the 1/f noise”,Phys. Rev. Lett., vol.59, no. 4, pp. 3811–7384, 1987.

V. S. Poghosyan, S. Y. Grigorev, V. B. Priezzhev and P. Ruelle, “Pair correlations in the sandpile model: A check of logarithmic conformal field theory”, Phys. Lett. B, vol. 659, pp. 76817772, 2008.

Su. S. Poghosyan, V. S. Poghosyan, V. B. Priezzhev and P. Ruelle, “Numerical study of correspondence between the dissipative and fixed-energy Abelian sandpile models”, Phys.Rev. E, 84, 066119, 2011.

V. S. Poghosyan, S. S. Poghosyan and H. E. Nahapetyan, “The Investigation of Models of Self-Organized Systems by Parallel Programming Methods Based on the Example of an Abelian Sandpile Model”, Proc. CSIT Conference 2013, Yerevan Armenia, Sept. 23-27, pp. 260-262, 2013.

H. Nahapetyan, J.-Pierre Jessel, S.Poghosyan and Y. Shoukourian,“A Multi User and Multi Purpose CA Simulator17”,Phys. Rev. Lett., vol.59, no. 4, pp. 38117384, 1987. Proc. CSIT Conference 2017, Yerevan Armenia, Sept. 23-27, pp. 260-262.

L. Levine and Y. Peres, “Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile”, Potential Anal (2009) 30: 1.

A. Fey and F. Redig, “Limiting shapes for deterministic centrally seeded growth models”, J. Stat. Phys., vol. 130, no. 3, 57917597, 2008.




How to Cite

Nahapetyan, H. E. (2021). Usage of Neural Networks for ASM Research. Mathematical Problems of Computer Science, 49, 58–65.