The neural network below uses the "winner-takes-it-all learning rule. At some instant t during the network training, inputs to the network and the weights of connections are as shown below. a = 1 Wu = 2 0,= 1 X W12 = 2 2013 = 1 a = 2 W x = 1 W22 = 2 02 = 1 X2 W3 = 2 a3 = 3 Thus, the instant input vector is a = {(1; 22; 23}={1; 2; 3}; the fan-in vector of the weights of connections to the Ist output unit is w;={W11; W12; W13}={2; 2; 1); the fan-in vector of the weights of connections to the 2nd output unit is Wz={W21; W22; W23}={1; 2; 2}; i) Calculate the states of the output units S, and S2 at that instant. ii) What instant output X = {X1, X2} will the network produce? [1 mark] iii) Let the network's learning rate C be set to 0.25. Calculate changes to the weights of connections AWji at that instant. [3 marks) iv) What will be the new updated weights of the network connections Wji at that instant? [2 marks] Let the norm of the network's weights of connections be defined as 2 3 ||w|| = 2Xw i=1 Calculate the new normalised weights of connections Wji at that instant. [5 marks] The neural network below uses the "winner-takes-it-all learning rule. At some instant t during the network training, inputs to the network and the weights of connections are as shown below. a = 1 Wu = 2 0,= 1 X W12 = 2 2013 = 1 a = 2 W x = 1 W22 = 2 02 = 1 X2 W3 = 2 a3 = 3 Thus, the instant input vector is a = {(1; 22; 23}={1; 2; 3}; the fan-in vector of the weights of connections to the Ist output unit is w;={W11; W12; W13}={2; 2; 1); the fan-in vector of the weights of connections to the 2nd output unit is Wz={W21; W22; W23}={1; 2; 2}; i) Calculate the states of the output units S, and S2 at that instant. ii) What instant output X = {X1, X2} will the network produce? [1 mark] iii) Let the network's learning rate C be set to 0.25. Calculate changes to the weights of connections AWji at that instant. [3 marks) iv) What will be the new updated weights of the network connections Wji at that instant? [2 marks] Let the norm of the network's weights of connections be defined as 2 3 ||w|| = 2Xw i=1 Calculate the new normalised weights of connections Wji at that instant. [5 marks]