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where ( mathbb{S} ) denotes set of spatial locations of intermediate map and ℕℕℝ denotes nearest neighbor interpolation-based resizing.
Map reduction aggregation includes a preliminary map stage, any number of required intermediate map or combiner stages, and a reduce stage.
The key point was the form of the intermediate map (T_t): a linear interpolation between the identity map id and the optimal map T, together with the convexity properties of (tmapsto det (I+tA)^{1/d}).
Taking VGG-16 as an example, firstly, we extract activation tensor A ∈ ℝ H × W × D of the last convolutional layer with relu activation, following by a max-pooling of stride 2, we get an intermediate map matrix W in which usually has size around ( frac{H}{2}times frac{W}{2} ).
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A combination of the five intermediate maps resulted in a final composite suitability map for buildings in a rural landscape.
To enable efficient correspondence search across a dataset of faces, it is necessary to create an intermediate mapping to a common canonical space, where the final registration may be performed.
It is also important to recognize that geographical information systems (GISs) offer many tools for the geographical manipulation of census data, for example, for political districting, area classification, service planning, and resource allocation, which do not involve the production of intermediate maps.
RNA22, picTar and DIANA microT required intermediate mapping steps using Ens54 [94] and RefSeq May 2006 [95] assemblies.
While we only report the change in prairie dog colony sizes from 1988 and 2005, intermediate mapping efforts in 1996 and 2000 showed that the loss of prairie dog colonies was a continuous process [46], [48].
We then merged intermediate maps into a final composite map.
We then calculated a final composite map from these two intermediate maps.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com