The
human brain uses the data flows from the sensorimotor system
to construct information resonances around 3D objects and
behaviors perceived in the real world. These sensorimotor
data fields are the underlying 'alphabet' of internal 3D
object formation and animation. There is no known mathematical
relationship between the sensorimotor data fields and the
subsequent memory resonances of consciousness. But it may
be possible to link the two domains through dynamic transform
functions that can maintain binding and coherence between
the perceived reality and the virtual representations.
Significant
processes in the real world can be identified as positions,
relationships or motions in euclidean space, and expressed
with regard to a simple cartesian coordinate system x,y,z
and time involving only 'real' numbers.
Tensor
mathematics is used to manipulate these classes of data
and is ideally suited to computer modeling through the notation
of matrices in handling vector arithmetic.
An
example translation might be the non trivial vector transformation
between the alignment of the eye based on visual cues and
the muscular control of the same. For instance visual input
following a snow flake and the muscular outputs controlling
the eye muscles. (A snowflake object, a 2D camera view port
a short distance away and a mechanical tracking system).
There is clearly a relationship or transformation between
these domains while still sharing the same euclidean coordinate
system.
Although
this is interesting research in its own right, it actually
speaks more about the grace of cybernetic processes and
how dedicated biological neural structures can both learn
and apply these transformations outside of higher cognitive
oversight.
Our
problem is of a similar class, in that there is a transformation
between the real and the mental or 'imaginary' euclidean
spaces. Although there is arguably some plasticity in the
coordinate system, it is only to the extent they are congruent
that cognitive processes have any relevance or potency in
the real world. Traditional mathematics does not really
speak to the kinds of processes found in either nature or
cognition. A new kind of mathematics is required, perhaps
something more akin to Stephen Wolfram research where the
creation of complexity arises from simple rules.
The
speculation being that if the representation of complex
models and behaviors could be generated from simple rules,
and the brain could manipulate such rules using its parallel
nature rather than the sequential nature described in Stephens
discoveries, then the possibility arises of the brain being
a general rule manipulation workspace, and memories not
really existing anywhere until they are manifested by the
rules. Thus the brain becomes a general purpose processor
for generating rules from complex modality patterns and
subsequently processing those rules. But there are so many
unanswered questions. How are the rules recognized and constructed
from say vision. How are the rules manipulated, morphed
and aligned to the modalities, or to creative processes.
Unless there are special, as yet unknown properties these
rules possess, it does not necessarily move us closer to
the actual raw mechanism of consciousness processing if
we have no math or knowledge for dealing with such phenomina.
If
a rule exists for say a candle structure, and another rule
for a liquid flow behavior, are there methods by which such
rules can engage, a burn rule, a flow rule, a bounce rule
etc. The modality flow does not explicitely define form
or behavior, they are hidden within complexity. Even 3D
representations do not imply function or behavior (from
collisions etc.) These things can be processed using complex
algebra or relation to precedents, but if the generation
rules themselves could be merged and aligned to direct the
resulting representation, the way small changes in genetic
code can cause significant effects in the phenotype. Then
a mechanism might be in place to direct consciousness. In
nature, the rules process matter to define its form and
behavior (plants, animals). In consciousness, the rules
process representations of matter as the fluid virtual forms
and behaviors of thoughts.
Part
of this research involves attempting to find any mathematical
relationships between the parallel data flows originating
from the outside world and the data structures held within
memory. But more important even than this, is the method
by which subsequent coherent structured animations can take
place.
The
initial problem of testing an incoming parallel 2D data
stream like vision, to matching render planes of internal
3D objects could be conceptualized as a brute force calculation
of comparing each incoming data set to trillions of potential
simulation 'fits'. Conventional computing may remain substantially
underpowered for this class of problem for some time, but
quantum computation may be more suited.

The
fundamental barrier to AI is image instantiation. For example,
what challenge would exist in order to instantiate a well
with a bucket being manually wound up and down the shaft.
How would a visual system go about resolving what was happening
mechanically, to the rope etc. You have the environment,
the actors and the animation. Each of these needs to be
resolved. In Q1 2003, Nvidia will release a cinematic quality
real time hardware render engine in a single chip. This
will be capable of over 100 high definition, fully rendered
frames per second including atmospheric, lighting and camera
effects. Assuming a sufficiently deep library of models
and environments, Could this tool be used to track real
time vision in order to build and match a 3D simulation
by shear brute force trial rendering. If initially seeded
with a human generated reference world as close to the vision
as possible? Would traditional software engineering be up
to the challenge of following subsequent motion through
the positive feedback using 100 render frames per second.
Adjusting the model world to minimize the render plane differences?
The 3D models that generate the matching render planes to
the input vision, become legitimised and learned as credible
object precedents within the growing internal universe.
The
current research is centered around the neural morph tunnel
metaphor. See below

An
initial 8 by 8 pixel morph tunnel is to be modeled
in computer simulation to test the basic principles
of operation - Initially, using very simple image
data sets of un-shaded object primitive outlines (coin,
cube, cone etc.) to investigate the boundaries and
weaknesses of the architecture.
Methods
for incorporating surface detail; for pre-scaling
of data; layer organization; environmental constraints;
object norms; object degrees of freedom; match probability
thresholds; noisy data sources; trained error consequences
and correction mechanisms. Techniques for prioritizing
search pathways and encoding object confidence weightings. |