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Comparing with the existing several state-of-the-art schemes, the proposed prediction model with expansion embedding technique introduces less embedding distortion for the same embedding capacity.
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The ratio is initially well below 1, but the ratio of models with expansion orders of two and three Legendre polynomials is above 1.
We specified models with expansion weighting to account for complex sampling design and modified variance estimators to account for neighborhood clustering.
The reconstructed image quality using the deterministic model with pixel expansion is slightly higher compared with the size invariant mode.
Based upon a simple cosmological model with no expansion, we find that the rotational terms appearing in the Gödel universe are too small to explain the Pioneer anomaly.
Large-scale external (magnetospheric) sources are parameterized in a manner similar to the CHAOS-2 model, with an expansion of the remote magnetospheric sources (magnetotail and magnetopause) in Geocentric Solar Magnetospheric (GSM) coordinates (up to n = 2) and of near magnetospheric sources (magnetospheric ring current) in the Solar Magnetic (SM) coordinate system (also up to n = 2).
The exponential substitution model with an expansion growth prior was chosen because it had the largest Bayes Factor; however, none of the models tested was found to be superior to any other model.
Subsequently, Moolgavkar, Venzon and Knudson introduced a two-stage model with clonal expansion of intermediate cells (Moolgavkar and Venzon, 1979; Moolgavkar and Knudson, 1981) which was later extended to a multistage model (Moolgavkar and Luebeck, 1992).
Existing work has relied mainly on axisymmetric models with hydraulic expansion (Allam et al. 1998) or with roller expansion (Al-Aboodi et al. 2008, 2009; Cizelj and Mavko 1995; Williams 1996).
The parameterization of external magnetic field contributions is also similar to that of our previous models, with an expansion of near magnetospheric sources in the Solar Magnetic (SM) coordinate system (up to (n=2), with special treatment of the (n=1) terms) and of remote magnetospheric sources in Geocentric Solar Magnetospheric (GSM) coordinates (also up to (n=2), but restricted to order (m=0)).
73, 74 Two-stage models with clonal expansion are based on the broad paradigm of initiation, promotion, transformation, and progression in carcinogenesis, which has been applied to numerous studies of chemically induced and radiation-induced tumors in experimental animals.
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