Table 1. Inherent imbalance ratio of 11 commonly used high-dimensional datasets. Name of datasetType of datasetInherent imbalance ratio Brain_Tumors1 DNA microarray 15.0 CNS DNA microarray 1.857 Leukemia DNA microarray 1.780 SRBCT DNA Microarray 2.64 Ovarian DNA microarray 1.78 Gli DNA microarray 2.27...
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In fact, in deriving this table we assumed the usual realisation of the round seven-sphere as the coset Spin(8) Spin(7) but it actually admits other coset realizations; in such cases, the metric is squashed or the isometries are broken by particular structures. We collect in the following...
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We construct a three-dimensional quantum cellular automaton (QCA), an automorphism of the local operator algebra on a lattice of qubits, which disentangles
This corresponds to giving the Hilbert space structure to the original theory. The theory can be extended to give a topological invariant of manifolds with boundary.doi:10.1142/S0217751X96002121ASANOMASAKOWorld Scientific Publishing CompanyInternational Journal of Modern Physics A...
Nuovo Cimento 44, 544 (1985) 11. C.J.S. Clarke, S.A. Hayward, Class. Quantum Gravity 6, 615 (1989) 12. I.S. Gradshtein, I.M. Ryzhik, Table of Integrals, Series and Prod- ucts (Academic Press, New York, 1965) 13. G.W. Gibbons, G.T. Horowitz, P.K. Townsend, Class. ...