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Granular Neural Networks: Concepts and Development Schemes. Mingli Song and Witold Pedrycz IEEE Trans. On NNLS vol.24 2013. What is granular networks?. Introduced by W. Pedrycz and G. Vukovich in Neurocomputing , 2001 Traditional neural networks numeric weights single output
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Granular Neural Networks: Concepts and Development Schemes Mingli Song and Witold Pedrycz IEEE Trans. On NNLS vol.24 2013
What is granular networks? • Introduced by W. Pedrycz and G. Vukovich in Neurocomputing, 2001 • Traditional neural networks • numeric weights • single output • Granular neural networks • granular weights • interval output
Architecture Y=[y-, y+] k Oj=[oj-, oj+] Wj=[Wj-, Wj+] m 1 j Wji=[Wji-, Wji+] i 1 n X1 Xi Xn
Granularity • ε: values in unit interval • wji-=wji-ε-|wji|, wji+=wji+ε+|wji| • Allocation of information granularity: • C1: All weights use the same value of ε. ε- = ε+= ε/2 • C2: All weights use the same value of ε. ε-+ ε+= ε • C3: Different granularity (εi) for different connections. εi- = εi+= εi/2 • C4: Different granularity (εi) for different connections. εi-+ εi+= εi • C5: Randomly assigned.
