Pattern Formation in the Physical and Biological Sciences by H. Frederick Nijhout, Lynn Nadel, Visit Amazon's Daniel L.
By H. Frederick Nijhout, Lynn Nadel, Visit Amazon's Daniel L. Stein Page, search results, Learn about Author Central, Daniel L. Stein, , EDITOR *
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Extra resources for Pattern Formation in the Physical and Biological Sciences (Santa Fe Institute Studies in the Sciences of Complexity, Lecture Notes, Vol 5)
The retino-tectal projection, 7 had been studied earlier by Willshaw and von der Malsburg, 3 6 Takeuchi and Amari, 3 4 and others. 26 L. H. Finkel The model uses a form of unsupervised learning that consists of normalized synaptic modifications. Input connections are modified in such a way that on each iteration, the synaptic weight vector is slightly rotated toward the input vector. It is shown in several simulations of two-dimensional maps, that starting from a random initial condition, after several thousand iterations of the adaptive process, a global topographic organization emerges.
To a population of N ten-neuron-wide arrays, each of which typically contains six layers, we now present these strings, with a persistence time of at least five units, and in random order. , NAMPl), S3S1 (NAMP2), S2S3 (NAMP3), or S3S2 (NAMP4), these neurons will be as close to zero activity as possible. In a sense, we are thus asking for a "neuron assembly"3 which fires specifically when detecting amplitude invariance (AMP). Programming the array a priori to perform this is not easy. All we have to do here is assign to each machine, upon completion of the test, a grade; the closer the machine comes to achieving the goal, the higher its grade: this can be, for instance, the sum of output values delivered after AMP minus the sum of outputs after NAMP, properly normalized.
USA) 83 (1986): 1695-1698. This page intentionally left blank Leif H. Finkel Department of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104-6392 Limiting Assumptions in Models of Somatotopic Map Organization This chapter originally appeared in 1990 Lectures in Complex Systems, edited by L. Nadel and D. Stein, 269-284. Santa Fe Institute Studies in the Sciences of Complexity, Lect. Vol. III. Reading, MA: Addison-Wesley, 1991. Reprinted by permission. Several recent computational models of somatotopic map organization are reviewed.