A Sequential Algorithm for Training the SOM Prototypes Based on Higher-Order Recursive Equations

<table>Trajectory vectors <svg height="20.299999" id="M203" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 17.6875 20.299999" width="17.6875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,16.013)"><path d="M403 126l24 -14q-44 -70 -88.5 -98t-109.5 -28q-90 0 -147 67t-57 171q0 112 57 180q58 69 152 69q83 0 128 -50q53 -59 59 -178h-252q6 -81 25 -128q24 -59 94 -59q32 0 58 15.5t57 52.5zM164 282h134v21q0 73 -9 92q-13 26 -24.5 36.5t-30.5 10.5q-37 0 -53.5 -37
t-16.5 -123z" id="x1D41E"></path></g>
<g transform="matrix(.012,-0,0,-.012,7.613,7.85)"><path d="M244 607q0 -25 -15.5 -43t-37.5 -18q-19 0 -32 13t-13 35q0 21 15 41t39 20q20 0 32 -14t12 -34zM222 91q-29 -33 -79 -68t-75 -35q-13 0 -19 7.5t-6 31t10 65.5l62 253q5 26 -1 26q-21 0 -72 -43l-13 24q43 40 91 68t71 28q30 0 10 -78l-71 -274q-8 -30 3 -30
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q56 202 87 347q7 33 -3 33q-8 0 -31.5 -17.5t-41.5 -35.5l-12 28q42 45 84 72t63 27q44 0 10 -124l-20 -75h2q92 121 193 178q36 21 64 21q62 0 28 -159l-8 -37h2q50 67 103.5 112t94.5 65q39 19 62 19q60 0 23 -156l-45 -189q-9 -39 2 -39q17 0 71 49z" id="x1D45A"></path></g>
</svg> in the input space relative to the map in Figure <a href="../fig6/">6</a>.</table>

Advances in Artificial Neural Systems

fig7

Figure 7

Figure 7: A Sequential Algorithm for Training the SOM Prototypes Based on Higher-Order Recursive Equations 