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. 2008 Jan 15;98(3):259–272. doi: 10.1007/s00422-007-0209-6

Table 1.

Overview over all learning rules discussed in this paper

Class Two Inputs
Type Name Output: υ Rule: dw1/dt Convergence Comment
CL S&B w 0 x 0 + w 1 x 1 u1 υ divergent stimulus substitution
ISO w 0 u 0 + w 1 u 1* u 1 v x 0 = 0, unstable! symmetric, diff. Hebb
ICO w 0 u 0 + w 1 u 1* u′ 0 u 1 x 0 = 0 diff. Heterosyn.
ISO3 w 0 u 0 + w 1 u 1* Inline graphic x 0 = 0, (R = 0) 3-factor diff. Hebb
RL TD w 1 x 1 Inline graphic δ〉 = 0 critic only, no actions
TD-r w 0 u 0 + w 1 u 1* Inline graphic δ〉 = 0, x 0 = 0 mixed Hebb + diff. Hebb
TD-a Inline graphic Inline graphic δ〉 = 0 recursive rule
Class Filter Bank Summary
Type Name Output: υ Convergence General Comment Use
CL S&B not applicable not applicable only of historical relevance
ISO Inline graphic x 0 = 0 for certain unstable! As optimal h i are unknown,
unknown h i convergence cannot be guaranteed, input control
ICO Inline graphic x 0 = 0 robust, heterosynaptic, input control +
ISO3 Inline graphic x 0 = 0, (R = 0) robust, input control +
RL TD serial compound rep. δ〉 = 0 robust, output control +
TD-r not tested so far δ〉 = 0, x 0 = 0 undesirable mix of Hebb & diff. Hebb
TD-a not tested so far δ〉 = 0 not tested so far ?

The asterisk * depicts identical equations within one column