Fetching the paper…
Reading the bibliography…
Determining whether a dynamical system is integrable is generally a difficult task which is currently done on a case by case basis requiring large human input.
P. D. Lax, Integrals of nonlinear equations of evolution and solitary waves , Communications on Pure and Applied Mathematics 21
1968
Earlier work this paper cites.
K. Pohlmeyer, Integrable Hamiltonian Systems and Interactions Through Quadratic Constraints , Commun. Math. Phys. 46
1976
Earlier work this paper cites.
E. Abdalla, M. C. B. Abdalla and K. D. Rothe, Non-Perturbative Methods in 2 Dimensional Quantum Field Theory . WORLD SCIENTIFIC, 2nd ed., 2001, 10.1142/4678, [ https://www.worldscientific.com/doi/pdf/10.1142/4678
2001
Earlier work this paper cites.
S. Krippendorf and M. Syvaeri, Detecting Symmetries with Neural Networks , Machine Learning: Science and Technology 2
2003
Earlier work this paper cites.
M. Cranmer, S. Greydanus, S. Hoyer, P. Battaglia, D. Spergel and S. Ho, Lagrangian neural networks , in ICLR 2020 Workshop on Integration of Deep Neural Models and Differential Equations , 2020, 2003.04630
2003
Cited alongside, same era.
N. Beisert and M. Staudacher, The N=4 SYM integrable super spin chain , Nucl. Phys. B 670
2003
Cited alongside, same era.
L. B. Anderson, M. Gerdes, J. Gray, S. Krippendorf, N. Raghuram and F. Ruehle, Moduli-dependent Calabi-Yau and S U SU (3)-structure metrics from Machine Learning , 2012.04656
2012
Cited alongside, same era.
N. Beisert et al., Review of AdS/CFT Integrability: An Overview , Lett. Math. Phys. 99
2012
Cited alongside, same era.
N. Beisert, Integrability in QFT and AdS/CFT , https://edu.itp.phys.ethz.ch/hs13/13HSInt/IntHS13Notes.pdf
Cited in the paper.
A. Guevara, E. Himwich, M. Pate and A. Strominger, Holographic Symmetry Algebras for Gauge Theory and Gravity , 2103.03961
Cited in the paper.
A. Torrielli, Lectures on Classical Integrability , J. Phys. A 49
2016
Later among the works it cites.
S. Greydanus, M. Dzamba and J. Yosinski, Hamiltonian neural networks , 2019
2019
Later among the works it cites.
M. Cranmer, A. Sanchez-Gonzalez, P. Battaglia, R. Xu, K. Cranmer, D. Spergel et al., Discovering symbolic models from deep learning with inductive biases , 2020
2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…