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Neural Computation

July 1993, Vol. 5, No. 4, Pages 597-612
(doi: 10.1162/neco.1993.5.4.597)
© 1993 Massachusetts Institute of Technology
Emergence of Position-Independent Detectors of Sense of Rotation and Dilation with Hebbian Learning: An Analysis
Article PDF (744.46 KB)

We previously demonstrated that it is possible to learn position-independent responses to rotation and dilation by filtering rotations and dilations with different centers through an input layer with MT-like speed and direction tuning curves and connecting them to an MST-like layer with simple Hebbian synapses (Sereno and Sereno 1991). By analyzing an idealized version of the network with broader, sinusoidal direction-tuning and linear speed-tuning, we show analytically that a Hebb rule trained with arbitrary rotation, dilation/contraction, and translation velocity fields yields units with weight fields that are a rotation plus a dilation or contraction field, and whose responses to a rotating or dilating/contracting disk are exactly position independent. Differences between the performance of this idealized model and our original model (and real MST neurons) are discussed.