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Five questions across 7 topics. Two minutes.
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Optimization
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foundation (2/10)
conceptual
Which of the following is the correct definition of a convex function f: R^n -> R?
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A.
For all x, y in the domain and lambda in [0,1]: f(lambda*x + (1-lambda)*y) <= lambda*f(x) + (1-lambda)*f(y)
B.
The second derivative is strictly positive at every point in the domain of the function
C.
The function is monotonically increasing over its entire domain, with no local decreases
D.
The function has exactly one local minimum, which is also the global minimum of f
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