This video clip is demonstrating the Gemini system. The
Gemini system is the one that separates the dimension reduction
and clustering components into their own independent computational channels so
that both the clustering and the dimension reduction occurs on
the high dimensional data. As a result, we
get a more accurate global projection of all of our
states instead of just having a set of smaller convex
hull clusters. But at the same time we still
get the high dimensional clusters that are projected in. And
we can see right away that there is this overdraw
issue that could be corrected with a different visual representation
for the clusters. For example, the state Oregon
were not particularly sure whether it belongs to this cluster
with Maine and Nevada and New Mexico or whether it
belongs in this cluster with Utah, Wyoming, Arizona and
so on. Here's our beginner, Midwestern States cluster
that we want to start assigning things to and here
are our Ohio, Michigan and Illinois states that are going
to be assigned into this cluster same as before. And
so to reassign something to a cluster, I just
need to drag it closest to the cluster centroid.
I can grab Ohio and I can pull
it up into this cluster. And again, nothing else
has changed. It's the same behavior that we saw
in Pollux. The weights that were generated are still
the same. We still have the 1.324 area score.
We still have the 0.456 high school graduation rate
score. We've learned the same set of weights;
it's just a different representation of this reclustering. This
time, however, when I release Ohio from its
fixed position, it's going to stay as a part
of this cluster but drift back to about where it
was in the projection. So it's learned something new
about the clustering, but it hasn't really quite convinced
itself that this fits well inside of this cluster as
far as the projection goes. Michigan is the next
state. We can grab Michigan and pull it up
to our cluster. And now these blue states that
are drawn are the ones that have just been reclassified
as a result of that interaction. There's no quick
motion to take something from one cluster to another because
because they're not moving very far in the projection and
so we indicate the cluster reassignment with a blue circle.
So West Virginia just got added to the New
Mexico, Maine, Nevada cluster. And Minnesota got pulled into
our Midwestern States cluster, which is what we intended.
If I unfreeze Michigan, it's gonna get pulled
down closer to Ohio because well it wants to be
closer to Ohio. Illinois was our next state. I
can grab Illinois and pull it up towards our cluster
two and here are all of the states that again
changed categories with this interaction. So Rhode Island and
Washington got added to the cluster that also contains New
Mexico, West Virginia, Nevada and so on. And Kentucky, Wisconsin
and Arkansas all got added to our Midwestern States cluster.
If I release Illinois, it's going to get
pushed over to somewhere where it finds that it fits
best and that's going to be off over toward the
edge because it doesn't seem to fit well in the
projection anywhere. The next thing that we wanted to
do was start to pull out states from our Midwestern
cluster that did not fit our Midwestern definition. And
so the first one that I pulled out in the
demo is Kentucky, I can pull Kentucky back closer
to cluster zero and when I do so, here's
Montana also getting pulled out of this cluster and Tennessee
getting pulled into the cluster. If I unfreeze Kentucky
it's going to get pulled closer to cluster two because
it still feels like it belongs in this area of
the projection similar to Arkansas, Oklahoma and Missouri,
but it is now definitely a part of this overall
cluster. And we can continue by pulling out Arkansas and
pulling out Oklahoma and pulling out Tennessee into other clusters
in order to complete the demo from chapters seven and eight