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An HMM is used under the spatial assumption that expressions of genes in a local cluster are influenced in a similar way by histone methylation levels.
Thus, essentially the log relative risk in one area is influenced by the average log relative risk of its neighbors, with variability characterized by a conditional variance σ /n i This CAR model makes a strong spatial assumption and has only one free parameter linked to the conditional variance σ.
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The idea that the west side of Fifth Avenue is, technically, the West Side of Manhattan, calls into question some of the basic spatial assumptions of the city's geography.
This reassessment of the geographical perspectives and spatial assumptions in literature is in evidence everywhere, from the topomania of Iain Sinclair and Peter Ackroyd to Zadie Smith's remapping of Forster's England on America in On Beauty and Jim Crace's reversal of westward migration in The Pesthouse.
The proposed method shifts all the spatial assumptions of classical methods into frequential assumptions.
Proposed spectrum occupancy prediction models simplify assumption about spectral and spatial assumptions to avoid model complexity.
There are, additionally, some spatial assumptions.
For this, we use the spatial localization assumption.
Then, we use the spatial invariance assumption to simply (39) and (48).
The best choice of model was a linear spatial correlation assumption.
This spatial homogeneity assumption for air pollutants builds on previous research (Bell et al. 2011) where 6 miles (about 10 km) in radius is a reasonable buffer size for the homogeneity assumption.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com