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Therefore, we do not believe that episodic memory alone can explain our data, although it may have aided the retrieval of the geocentric direction representations.
Finally, we find a dissociation between the environment centric representations in the entorhinal/subicular region and egocentric direction representations in the precuneus.
We further investigated the selectivity of these results and found that the entorhinal/subicular region shows no evidence for egocentric direction representations (t(15) = 0.94, p = 0.18), while the precuneus shows no evidence for geocentric direction representations (t(15) = 0.41, p = 0.34).
These results not only provide the first evidence for the presence of goal direction representations within the mammalian brain but also suggest a specific mechanism for the computation of this neural signal, based on simulation.
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Hence new direction representation systems have to be developed, such as ridgelets [1], curvelets [2], contourlets [3], shearlets [4, 5], and many others.
If this is the case, then this could potentially explain the results in this region without requiring any abstract direction representation.
In mammals, "head-direction cells" are thought to support this process, but despite 30 years of research, no evidence for a goal direction representation has been reported [ 1, 2].
Furthermore, the strength of the entorhinal/subicular direction representation predicts individual variation in performance on our navigation task, showing that these computations play a direct role in active spatial decision-making.
It is invigorating to see a population engaged in the chance to reset the direction of representation.
The results were analyzed and categorized into model types according to the direction, the representation of the mouth of the river, the consistency of the river flow with the physical landscape, the types of lines used to draw the river's flow.
Undirected and directed tree representations of DTree have equivalent pdfs (Meila and Jordan, 2001), directions of edges do not matter.
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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