Conditional convergence of photorefractive perceptron
					learning

Ken Y. Hsu; Shiuan Huei Lin; Pochi Yeh

doi:10.1364/OL.18.002135

Conditional convergence of photorefractive perceptron learning

Ken Y. Hsu, Shiuan Huei Lin, and Pochi Yeh

Optics Letters
Vol. 18,
Issue 24,
pp. 2135-2137
(1993)
•doi: 10.1364/OL.18.002135

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Ken Y. Hsu, Shiuan Huei Lin, and Pochi Yeh, "Conditional convergence of photorefractive perceptron learning," Opt. Lett. 18, 2135-2137 (1993)

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Abstract

We consider the convergence characteristics of a perceptron learning algorithm, taking into account the decay of photorefractive holograms during the process of interconnection weight changes. As a result of the hologram erasure, the convergence of the learning process is dependent on the exposure time during the weight changes. A mathematical proof of the conditional convergence, as well as computer simulations of the photorefractive perceptrons, is presented and discussed.

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t/τ	P_i _max	P_i _max tanh(t/2τ)	No. of Weight Changes
0.0005	37.01	9.25 × 10⁻³	6
0.001	37.28	1.86 × 10⁻²	6
0.005	39.51	9.88 × 10⁻²	6
0.01	42.56	0.213	6
0.05	84.88	2.12	6
0.1	300.07	14.991	6
0.125	830.27	51.824	6
0.167	8.1 × 10⁸	6.75 × 10⁷	6
0.182	3011.2	273.265	9
0.2	6.7 × 10⁷	6.68 × 10³	9
0.21	79	8.265	11
0.222	874.2	96.64	15
0.25	5.15 × 10⁴	6.4 × 10³	15
0.263	2.79 × 10⁴	3.65 × 10³	17
0.286	367.5	52.197	21
0.333	−	−	−
0.5	−	−	−

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