Matt,

Thinking about how to analyze time-series data from ECAN, I thought it
might be cool to look for interactions between IIT (Phi) and strange
attractor structure in the attentional focus...

I found this code which lets us analyze data using Integrated
Information Theory (Tononi's Phi)

https://figshare.com/articles/phi_toolbox_zip/3203326

This has gotten some acceptance as a "measure of consciousness", so if
we could show that some ECAN parameters or aspects correlate with
"degree of consciousness" as measured by Phi, this would let us
publish a wizzy and popular paper....   For instance, what if the
system was more conscious (higher Phi) when it connected a sentence
with background knowledge, than when it parsed a sentence but was
unable to connect it with background knowledge...


On the other hand, another interesting thing to do would be to look at
a delay-embedding of the dynamics...

Long ago I used the TISEAN toolkit for nonlinear time series analysis

What I am thinking here is: If we are loading in Atoms from a bunch of
texts, we could run PLSI or similar (latent semantic indexing) on the
texts (Eyob could help with that, he's a master of PLSI), to create a
dimensional space.   At any moment in time, the WordNodes and named
ConceptNodes in the AttentionalFocus would then assign the AF a
certain point in the dimensional space defined by the PLSI factors.

This would turn the AF into a trajectory in n-dimensional space...

One could then use some approach to figure out the optimal delay and
do a delay-embedding of this trajectory, hopefully revealing the
underlying attractor structure...

TISEAN seems only to do delay embedding from 1D time series

https://www.pks.mpg.de/~tisean/Tisean_3.0.1/index.html

but there are papers explaining how to do it from multi-D time series

https://arxiv.org/pdf/nlin/0609029.pdf

https://arxiv.org/pdf/1409.5974.pdf

Showing that the AF contents occupy a certain strange attractor --
maybe shifting which strange attractor over time, or shifting the
shape of the strange attractor over time, would be interesting

Some association between the Phi (IIT) value and some property of the
inferred attractor would also be interesting...

-- Ben




-- 
Ben Goertzel, PhD
http://goertzel.org

"I am God! I am nothing, I'm play, I am freedom, I am life. I am the
boundary, I am the peak." -- Alexander Scriabin

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