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Suppose we have a prediction problem in marine shipping where the target ?corresponds to an angle...

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Physics

Suppose we have a prediction problem in marine shipping wherethe target ?corresponds to an angle measured in radians. Areasonable loss function in this case could be?(?,?)∶=1−cos(?−?)

a.)Suppose the true angle is 3?/4. For which predicted values isthe loss maximum and for which is it minimum? (Give also thecorresponding loss.) Suppose we make predictions with a linearmodel ?=???+?

b.)Derive gradients of the loss with respect to both ?and ?.

c.)Describe a gradient descent algorithm to train the model on adata set (?(?),?(?)), ?=1, 2, ..., N

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