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Abed is studying data science. Abed tries to develop a machine model learning to predict carbon dioxide emissions based on daily temperature. Abed uses the
Abed is studying data science. Abed tries to develop a machine model
learning to predict carbon dioxide emissions based on daily temperature. Abed uses the sigmoid function to normalize the temperature data, which is expressed as follows:
Sx ex
Apart from that, Abed also uses the hyperbolic tangent tanh activation function in neural
artificial network, which is stated as follows:
Txex exex ex
During model development, Abed discovered that the model performance was very sensitive to extreme temperature values causing the sigmoid function values to approach or and the value of the tanh function approaches or Abed wants to ensure that these functions are continuous. To that end, answer the following questions to help Abed in developing the model!
a Prove that the sigmoid function Sx and the activation function Tx are continuous for all x in R
b Abed considers using the ReLU Rectified Linear Unit function
which is expressed as Rx max x Is ReLU function continuous? Explain your answer!
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