g53mle-L2 - Machine Learning Lecture 2 Perceptron G53MLE |...

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Machine Learning Lecture 2 Perceptron G53MLE | Machine Learning | Dr Guoping Qiu 1
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Perceptron - Basic Perceptron is a type of artificial neural network (ANN) G53MLE | Machine Learning | Dr Guoping Qiu 2
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Perceptron - Operation It takes a vector of real-valued inputs, calculates a linear combination of these inputs, then output 1 if the result is greater than some threshold and -1 otherwise G53MLE | Machine Learning | Dr Guoping Qiu 3 n i i i n n x w w x w x w x w w R 1 0 2 2 1 1 0 , , otherwise 1, 0 R if 1; R sign o
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Perceptron – Decision Surface Perceptron can be regarded as representing a hyperplane decision surface in the n-dimensional feature space of instances. The perceptron outputs a 1 for instances lying on one side of the hyperplane and a -1 for instances lying on the other side. This hyperplane is called the Decision Surface G53MLE | Machine Learning | Dr Guoping Qiu 4
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Perceptron – Decision Surface In 2-dimensional space G53MLE | Machine Learning | Dr Guoping Qiu 5 0 2 2 1 1 0 x w x w w Decision Surface (Line) o=-1 o=+1 w 0 w 1 w 2 x 1 x 2
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Perceptron – Representation Power The Decision Surface is linear Perceptron can only solve Linearly Separable Problems G53MLE | Machine Learning | Dr Guoping Qiu 6 + + + + + + + + + + - - - - - - - - -
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