FOUND IT! I knew a thing called the Lyapunov function was key to a lot of the magic of non-linear calculations and wondered “did anybody remodel phase locked loops using Lyapunov?” Yup. “Lyapunov Redesign of Classical Digital Phase-Lock Loops” http://dabramovitch.com/pubs/lpll_cdig3.pdf I don’t know if I’ll understand it but I’m gonna try to understand some of it.

What I’m thinking is
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YES! A big question I had and I think this answers it. In short: whether line drawing or color photograph, humans can figure out “what’s what” with equal ability. That, to me, is mind blowing. I look forward to reading this. _Simple line drawings suffice for functional MRI decoding of natural scene categories_ Despite the marked difference in scene statistics, we were able to decode scene category from fMRI data for line drawings just as well as from activity for color photographs, in primary visual cortex through PPA and RSC. Even more remarkably, in PPA and RSC, error patterns for decoding from line drawings were very similar to those from color photographs. These data suggest that, in these regions, the information used to distinguish scene category is similar for line drawings and photographs. To determine the relative contributions of local and global structure to the human ability https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3111263/

YES! A big question
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I notice this utilizes theory of mind. Perhaps because I probably lack it (probably autistic spectrum), I have trouble really comprehending theory of mind completely. But “theory theory” I understand. It’s similar but distinct from theory of mind. Theory-theory is akin to the “child scientist” view — that we are theory makers basically. https://en.wikipedia.org/wiki/Theory-theory

I notice this utilizes
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_Found the Mexican Hat Wavelet in the Eye!_ [line maker, edge detector, contour finder] CENTRE-SURROUND STRUCTURE or RETINAL RECEPTIVE FIELD. aka Laplacian of Gaussian aka Difference of Gaussian aka a bunch of other names i forgot. It’s been “known knowledge” for a long time. I just didn’t know it and I loved getting here the long way ’round.

_Found the Mexican Hat
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In the light of these results Pearson et al. (1990) proposed that the early stages of the human visual system contain a feature detector, similar to their cartoon operator, that responds to luminance valleys and interprets these as the contours of objects. If this were the case, it would explain why outline drawings are so effective as representations. Line drawings in the form of dark lines on a white ground provide luminance valleys that closely resem- ble the luminance valleys resulting from contours, even though the array of light coming from these drawings is, overall, so different from that coming from a real scene. Thus, in terms of picture perception we naturally inter- pret lines in line drawings as representations of the contours of objects be- cause the structure of the optic array coming from lines in pictures and con- tours in scenes is the same in each case. In silhouettes, however, the changes in tone at the boundaries take the form of luminance steps rather than lumi- nance valleys, and this may be one reason silhouettes tend to be less effective as representations than line drawings. Moreover, there is every reason to suppose that the feature detector in the human visual system for detecting luminance valleys is hardwired, so that adults and children both interpret lines as representations of contours.

In the light of … [read full article]