Reasoning about RoboCup soccer narratives
Hannaneh Hajishirzi, Julia Hockenmaier, et al.
UAI 2011
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.
Hannaneh Hajishirzi, Julia Hockenmaier, et al.
UAI 2011
Imran Nasim, Michael E. Henderson
Mathematics
Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences
Juliann Opitz, Robert D. Allen, et al.
Microlithography 1998