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3 . Consider the LSTM model in the following figure. Blue, red, and purple boxes indicate forget gate, input gate, and output gate, respectively. For

3. Consider the LSTM model in the following figure. Blue, red, and purple boxes indicate forget gate, input gate, and output gate, respectively. For each problem, explain the (1) role of the state (or gate),(2) how it can be calculated, and (3) the meaning of the equation.
(a)(4 points) Forget gate ft (b)(4 points) Input gate it
(c)(4 points) Long term state (cell state) Ct (d)(4 points) Output gate ot
(e)(4 points) Short-term (hidden) state ht
(f)(5 points) What is a potential issue for RNN? How can LSTM address this issue?

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