Generative Adversarial Symmetry Discovery
Jianke Yang, Robin Walters, et al.
ICML 2023
It is shown that, under certain conditions, orthonormalizing the positive integer shifts of an exponentially decaying function on the half line by the Gram-Schmidt process leads to a limiting profile given by orthonormalizing all their integer shifts on the whole line. These results derive from properties of Cholesky factorization of bi-infinite and semi-infinite matrices. An example is provided by the negative exponential function and conjectures are given, supported by numerical evidence, for the Gaussian and Lorentz function.
Jianke Yang, Robin Walters, et al.
ICML 2023
Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
Martin Charles Golumbic, Renu C. Laskar
Discrete Applied Mathematics