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Neural Networks. Perceptrons. Multi-layer Perceptron. MLP. Single Perceptron Unit. y. X 0 =. -1. x n. x 2. x 1. MLP. O 3. 2-Layer Perceptron Network. Hidden units. -1. O 1. O 2. -1. -1. x 2. x 1. Multilayer Layer Perceptron. y. 2-Layer Perceptron Network. W 02.
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Neural Networks Perceptrons
MLP Single Perceptron Unit y ... X0= -1 xn x2 x1
MLP O3 2-Layer Perceptron Network Hidden units -1 O1 O2 -1 -1 x2 x1
Multilayer Layer Perceptron y 2-Layer Perceptron Network W02 O3 Hidden units -1 W13 W23 O1 O2 W01 W02 -1 -1 W21 W12 W11 W22 x2 x1 W01 = 3/2 W11 = 1 W12 = 1 W02 = 1/2 W21 = 1 W22 = 1
Multilayer Layer Perceptron y 2-Layer Perceptron Network W02 O3 -1 W13 W23 O1 O2 W01 W02 X2 -1 XOR PROBLEM -1 W21 W12 W11 W22 x2 x1 0 1 W01 = 3/2 W11 = 1 W12 = 1 0 X1 1 W02 = 1/2 W21 = 1 W22 = 1
Multilayer Layer Perceptron y HIDDEN UNIT (O1) DECISION BOUNDARY W02 O3 -1 W13 W23 O1 O2 W01 W02 X2 -1 -1 W21 W12 W11 W22 O1 x2 x1 0 1 W01 = 3/2 W11 = 1 W12 = 1 0 X1 1 W02 = 1/2 W21 = 1 W22 = 1
Multilayer Layer Perceptron HIDDEN UNIT (O2) DECISION BOUNDARY y W02 O3 -1 W13 W23 O1 O2 W01 W02 X2 -1 -1 W21 W12 W11 W22 O2 x2 x1 0 1 HIDDEN UNIT (O2) DECISION BOUNDARY W01 = 3/2 W11 = 1 W12 = 1 0 X1 1 W02 = 1/2 W21 = 1 W22 = 1
Multilayer Layer Perceptron XOR PROBLEM y W02 O3 -1 W13 W23 O1 O2 W01 W02 O2 -1 -1 W21 W12 W11 W22 x2 x1 0 1 W01 = 3/2 W11 = 1 W12 = 1 0 O1 W02 = 1/2 W21 = 1 W22 = 1