NeuroProse preprint announcement
Chris Webber
webber at signal.dra.hmg.gb
Fri May 20 04:04:21 EDT 1994
FTP-host: archive.cis.ohio-state.edu
FTP-filename: /pub/neuroprose/webber.self-org.ps.Z
The file "webber.self-org.ps.Z" is available for
copying from the Neuroprose preprint archive.
26 pages, 1946396 bytes compressed, 4117115 uncompressed.
Preprint of article submitted to "Network" journal:
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"Self-organisation of transformation-invariant
detectors for constituents of perceptual patterns"
Chris J S Webber
Cambridge University, (Now at) UK Defence Research Agency
A geometrical interpretation of the elementary
constituents which make up perceptual patterns
is proposed: if a number of different pattern-
vectors lie approximately within the same plane
in the pattern-vector space, those patterns can
be interpreted as sharing a common constituent.
Individual constituents are associated with
individual planes of patterns: a pattern lying
within an intersection of several such planes
corresponds to a combination of several constituents.
This interpretation can model patterns as
hierarchical combinations of constituents that
are themselves combinations of yet more elementary
constituents.
A neuron can develop transformation-invariances
in its recognition-response by aligning its
synaptic vector with one of the plane-normals:
a pattern-vector's projection along the synaptic
vector is then an invariant of all the patterns
on the plane. In this way, discriminating detectors
for individual constituents can self-organise
through Hebbian adaptation. Transformation-invariances
that can self-organise in multiple-level vision
systems include shape-tolerance and local
position-tolerance.
These principles are illustrated with
demonstrations of transformation-tolerant
face-recognition.
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