Numenta Research Meeting - Dec 4 2019

Time code ~35 minutes. Discussion of the location of features.
It sounds like they are trying to cast this in the sense of a computer graphics code where everything has a spatial location in some larger frame. I see this as the wrong way to think about this.

I think that an object is a cluster of features; we parse out the features quickly during perception. One of the common set of features is perception from different angles. We also eventually learn to see parts as features - with practice we can learn to compose and decompose those features.

With a novel object, we find it hard to make out the form and features and often have to view it from different angles or manipulate it to become familiar with it. This parsing of part and whole is what goes with building the feature set that makes up this object. Learning the relative arrangement of the perceived part is normally relative to the object frame of reference.

One of our human tricks of mental navigation is zooming through levels of representation. This was well described by William James in his 1918 book “The Principles of Psychology, Volume 1,” [1] page 581, figure 41-43.
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An object is the collection of the maps forms the geometry of a high-dimensional manifold . Mental navigation of this space is done changing parts of the manifold (one or more map contents) which changes the object representation. The transition from one high dimensional location to another location in this manifold that is the representations of an object is the evolution of the contents of consciousness. Examples might be: whole/part, whole/whole(different view), or whole/related object.

I see this mental movement as implemented by an “anchor” in part of the mental manifold, with each of the object features as branches of the manifolds. Moving through the “level of representation” is a substitution of some element of a map that is stabilized by the connected maps. Focusing on a feature changes the “anchor” of this high-dimensional manifold.

I think that the selection of this “anchor” is part of the function of the feedback direction of connected maps. The forebrain asserts with this feedback path and the rest of the cortex forms the manifold that settles into the the lowest energy configuration around this fixed point; your focus of attention.

For this to make any sense at all you have to realize that this is the large scale state space of a global activation pattern covering multiple map locations in the brain. This joining of feature space and relative locations is likely to be found in the temporal region. The mental navigation of these high-dimensional manifolds is some combination of location and components. Considering the primacy of spacial components in mental maps it is likely that some aspect of location is part of every mental manifold.

I have to stress that we manipulate the the contents of these maps at the speed of our eyes scanning an object with our constant saccades. At the speed of parsing sounds like speech. It’s so fluid that it is hard to even see it as a single state - it is flying though these mental spaces at the speed of thought.

Indeed - it is thought.

At time index 1:10 there is some rabbit chasing with Kohonen space. I am pretty sure that this is what Cortical IO is using to organize the contents of the retina space. While I don’t think that they way they build it is biologically plausible, there may be a way to build this map that is.

[1] The Principles of Psychology, Volume 1 - William James

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