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Given a finite-dimensional real inner product space V and a finite subgroup G of linear isometries, max filtering affords a bilipschitz Euclidean embedding of the orbit space V/G.
H. S. M. Coxeter, The complete enumeration of finite groups of the form R i 2 = ( R i R j ) k i j = 1 R_{i}^{2}=(R_{i}R_{j})^{k_{ij}}=1 , J. London Math. Soc. s1-10 (1935) 21–25
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R. S. Varga, Iterative Matrix Analysis, Springer, 1962
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R. M. Kane, Reflection Groups and Invariant Theory, Springer, 2001
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J. Cahill, X. Chen, A note on scalable frames, SampTA 2013, arXiv:1301.7292
2013
Cited alongside, same era.
A. Perry, J. Weed, A. S. Bandeira, P. Rigollet, A. Singer, The sample complexity of multireference alignment, SIAM J. Math. Data Science 1 (2019) 497–517
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Cited alongside, same era.
J. Cahill, A. Contreras, A. Contreras-Hip, Complete set of translation invariant measurements with Lipschitz bounds, Appl. Comput. Harmon. Anal. 49 (2020) 521–539
2020
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
J. Cahill, J. W. Iverson, D. G. Mixon, D. Packer, Group-invariant max filtering, arXiv:2205.14039
Cited in the paper.
M. Carlsson, von Neumann’s trace inequality for Hilbert–Schmidt operators, Expo. Math. 39 (2021) 149–157
2021
Later among the works it cites.
P. B. Denton, S. J. Parke, T. Tao, X. Zhang, Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra, Bull. Am. Math. Soc. 59 (2021) 31–58
2021
Later among the works it cites.
T. Bendory, D. Edidin, W. Leeb, N. Sharon, Dihedral multi-reference alignment, IEEE Trans. Inform. Theory 68 (2022) 3489–3499
2022
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