Fetching the paper…
Reading the bibliography…
This paper presents primarily two Euclidean embeddings of the quotient space generated by matrices that are identified modulo arbitrary row permutations.
R.R. Phelps, Convex sets and nearest points , Proc. Amer. Math. Soc. 8
1957
Earlier work this paper cites.
B.Yu Weisfeiler and A.A. Leman, The reduction of a graph to canonical form and the algebra which appears therein , Nauchno-Technicheskaya Informatsia 2
1968
Earlier work this paper cites.
J.H. Wells and L.R Williams, Embeddings and extensions in analysis , Springer-Verlag, 1975, Ergebnisse der Mathematik und ihrer Grenzgebiete Band 84
1975
Earlier work this paper cites.
D.G. Schaeffer M. Golubitsky, I. Stewart, Singularities and groups in bifurcation theory , vol. 2, Springer, 1988
1988
Earlier work this paper cites.
Emilie Dufresne, Separating invariants and finite reflection groups , Advances in Mathematics 221
1989
Earlier work this paper cites.
Morris Hirsch, Differential topology , Springer, 1994
1994
Earlier work this paper cites.
G. Kemper H. Derksen, Computational invariant theory , Springer, 2002
2002
Earlier work this paper cites.
A. Auslender and Teboulle.M., Asymptotic cones and functions in optimization and variational inequalities , Springer, 2003
2003
Earlier work this paper cites.
Cédric Villani, Topics in optimal transportation , American Mathematical Society, 2003
2003
Earlier work this paper cites.
Paul D. Dobson and Andrew J. Doig, Distinguishing Enzyme Structures from Non-enzymes Without Alignments , Journal of Molecular Biology 330
2003
Earlier work this paper cites.
A. Beck, A. Ben-Tal, and M. Teboulle, Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares , SIAM J. Mat. Anal. Appl. 28
2006
Earlier work this paper cites.
Tom Fawcett, An introduction to roc analysis , Pattern Recognition Letters 27
2006
Earlier work this paper cites.
A. Beck and M. Teboulle, On minimizing quadratically constrained ratio of two quadratic functions , J. Convx. Anal. 17
2010
Earlier work this paper cites.
H.L. Royden and P.M. Fitzpatrick, Real analysis , 4th ed., Pearson Education, Inc., 2010
2010
Earlier work this paper cites.
B. Alexeev, J. Cahill, and Dustin G. Mixon, Full spark frames , J. Fourier Anal. Appl 18
2012
Cited alongside, same era.
Matthias Rupp, Alexandre Tkatchenko, Klaus-Robert Müller, and O. Anatole von Lilienfeld, Fast and accurate modeling of molecular atomization energies with machine learning , Phys. Rev. Lett. 108
2012
Cited alongside, same era.
A.S. Bandeira, J. Cahill, D. Mixon, A.A. Nelson, Saving phase: Injectivity and stability for phase retrieval , Appl. Comp. Harm. Anal. 37
2014
Cited alongside, same era.
Raghunathan Ramakrishnan, Pavlo O Dral, Matthias Rupp, and O Anatole Von Lilienfeld, Quantum chemistry structures and properties of 134 kilo molecules , Scientific data 1
2014
Cited alongside, same era.
R. Balan and Y. Wang, Invertibility and robustness of phaseless reconstruction , Applied and Comput. Harmon. Analysis 38
2015
Charles R Qi, Hao Su, Kaichun Mo, and Leonidas J Guibas, Pointnet: Deep learning on point sets for 3d classification and segmentation , Proceedings of the IEEE conference on computer vision and pattern recognition, 2017, pp. 652–660
2017
Later among the works it cites.
Manzil Zaheer, Satwik Kottur, Siamak Ravanbakhsh, Barnabas Poczos, Russ R Salakhutdinov, and Alexander J Smola, Deep sets , Advances in Neural Information Processing Systems (I. Guyon, U. V. Luxburg, S. Bengio, H. Wallach, R. Fergus, S. Vishwanathan, and R. Garnett, eds.), vol. 30, Curran Associates, Inc., 2017
2017
Later among the works it cites.
Muhan Zhang, Zhicheng Cui, Marion Neumann, and Yixin Chen, An end-to-end deep learning architecture for graph classification , Thirty-Second AAAI Conference on Artificial Intelligence, 2018
2018
Later among the works it cites.
Zhengdao Chen, Soledad Villar, Lei Chen, and Joan Bruna, On the equivalence between graph isomorphism testing and function approximation with gnns , Advances in Neural Information Processing Systems (H. Wallach, H. Larochelle, A. Beygelzimer, F. d’Alché Buc, E. Fox, and R. Garnett, eds.), vol. 32, Curran Associates, Inc., 2019
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
B.G. Bodmann, N. Hammen, Stable phase retrieval with low-redundancy frames , Adv. Comput. Math. 41
2015
Cited alongside, same era.
2015
Cited alongside, same era.
R. Balan, Frames and phaseless reconstruction , vol. Finite Frame Theory: A Complete Introduction to Overcompleteness, Proceedings of Symposia in Applied Mathematics, no. 73, pp. 175–199, AMS Short Course at the Joint Mathematics Meetings, San Antonio, January 2015 (Ed. K.Okoudjou), 2016
2016
Cited alongside, same era.
R. Balan and D. Zou, On lipschitz analysis and lipschitz synthesis for the phase retrieval problem , Linear Algebra and Applications 496
2016
Cited alongside, same era.
Kristian Kersting, Nils M. Kriege, Christopher Morris, Petra Mutzel, and Marion Neumann, Benchmark data sets for graph kernels , 2016, http://graphkernels.cs.tu-dortmund.de
2016
Cited alongside, same era.
Oriol Vinyals, Samy Bengio, and Manjunath Kudlur, Order Matters: Sequence to sequence for sets , International Conference on Learning Representations, 2016
2016
Cited alongside, same era.
Felix A. Faber, Bing Hutchison, Luke Huang, Justin Gilmer, Samuel S. Schoenholz, George E. Dahl, Oriol Vinyals, Steven Kearnes, Patrick F. Riley, and O. Anatole von Lilienfeld, Machine learning prediction errors better than dft accuracy , J. Chem. Theory Comput. (2017), no. 13, 5255–5264
2017
Cited alongside, same era.
2019
Later among the works it cites.
Nicolas Keriven and Gabriel Peyré, Universal invariant and equivariant graph neural networks , Advances in Neural Information Processing Systems 32
2019
Later among the works it cites.
Haggai Maron, Heli Ben-Hamu, Nadav Shamir, and Yaron Lipman, Invariant and equivariant graph networks , International Conference on Learning Representations, 2019
2019
Later among the works it cites.
Haggai Maron, Ethan Fetaya, Nimrod Segol, and Yaron Lipman, On the universality of invariant networks , Proceedings of the 36th International Conference on Machine Learning (Kamalika Chaudhuri and Ruslan Salakhutdinov, eds.), Proceedings of Machine Learning Research, vol. 97, PMLR, 09–15 Jun 2019, pp. 4363–4371
2019
Later among the works it cites.
A.C. Hip J. Cahill, A. Contreras, Complete set of translation invariant measurements with lipschitz bounds , Appl. Comput. Harm. Anal. 49
2020
Later among the works it cites.
Romanos Diogenes Malikiosis and Vignon Oussa, Full spark frames in the orbit of a representation , Applied and Computational Harmonic Analysis 49
2020
Later among the works it cites.
Akiyoshi Sannai, Yuuki Takai, and Matthieu Cordonnier, Universal approximations of permutation invariant/equivariant functions by deep neural networks , 2020
2020
Later among the works it cites.
Dmitry Yarotsky, Universal approximations of invariant maps by neural networks , Constructive Approximation (2021), 1–68
2021
Later among the works it cites.
Floris Geerts and Juan L Reutter, Expressiveness and approximation properties of graph neural networks , International Conference on Learning Representations, 2022
2022
Closest in time.
Omri Puny, Matan Atzmon, Edward J. Smith, Ishan Mishra, Aditya Grover, Heli Ben-Hamu, and Yaron Lipman, Frame averaging for invariant and equivariant network design , International Conference on Learning Representations, 2022
2022
Closest in time.