Grassmannian


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Grassmannian

[¦gräs¦man·ē·ən]
(mathematics)
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Heath, Jr., "Grassmannian differential limited feedback for interference alignment," IEEE Trans.
Bonora-Tonin superfield approach to BRST formalism is a geometrically intuitive method where the key properties associated with the (anti-)BRST symmetry transformations find their geometrical origin in the language of Grassmannian translational generators in an elegant manner [10,11].
It should be noticed that, in general, the energy (29) does not coincide with those given in (15), because the potential in (29) is defined on the Grassmannian of two planes, but if (N(K, [tau]), [bar.g]) has constant sectional curvature, c, then the Willmore energy (29) would correspond to a Willmore-like energy with constant potential [PHI] = c.
Chen, "Partial least squares regression on grassmannian manifold for emotion recognition," in Proceedings of the the 15th ACM, pp.
Heath, "Grassmannian frames with applications to coding and communication," Applied and Computational Harmonic Analysis, vol.
A Grassmannian permutation with descent at d corresponds to a partition [lambda] of length at most d, i.e.
Let c := [c.sub.2]([E.sub.2]) [member of] [A.sup.2](X), where [E.sub.0] is the restriction to X of the tautological rank 2 vector bundle on the Grassmannian of lines in [P.sup.5](C).
Grassmannian constellation is a set of unitary space time modulation (USTM) signal matrices defined on Gassmann manifold presented by Hochwald and Marzetta [1] and Zheng and Tse [2] for robustness against very fast fading in high speed mobile channels in which learning the channel fade coefficients becomes increasingly difficult for both transmitter and receiver.
[17] developed an automatic tumor segmentation framework by using the machine learning technique based on discriminant Grassmannian manifolds.
Permutation tableaux arose in the study of totally nonnegative Grassmannian, see Postnikov (2006).
Limited feedback, where the CSI is quantized and fed back to the transmitter through a limited link, was first introduced in [18], to single antenna systems using efficient quantization via what is known as Grassmannian codebooks.