Question: Problem 4: Rounding Errors (10 points) Let x=[x1,,xn], if we want to implement a function f(x)= log(sum(exp(x)))=log(i{1,n}exp(xi)), what could be some failure modes of a

Problem 4: Rounding Errors (10 points) Let x=[x1,,xn], if we want

Problem 4: Rounding Errors (10 points) Let x=[x1,,xn], if we want to implement a function f(x)= log(sum(exp(x)))=log(i{1,n}exp(xi)), what could be some failure modes of a naive implementation? Please give a stable implementation. (Hint: consider any overflow or underflow cases)

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