Pre-Quiz: Advanced Topics in NN

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Choose the best possible answer

If g denotes the sigmoid function, then the gradient of g(z) with respect to z, in terms of g is *

1 point

1 + g(z)

1 - g(z)

g(z) exp(-z)

g(z) (1 - g(z))

Which of the following functions does the given computational graph represent? *

1 point

xy+max(0,wz)

zw + max(0,xy)

max(xy+zw,0)

max(xy,zw) + 0

For the above computational graph, if x = -1, y = 3, z = -6, w = 7, then the gradient of f wrt y is *

1 point

-1

If x > 0 and |w| >> 0. Then the gradient of g(wx) wrt x if g denotes the sigmoid function, is *

1 point

-1

0.875

Suppose we have 2 MLP models, A and B respectively. Both of them have only one hidden layer, but A is deeper than B. Which of these two is more likely to overfit a given function? *

1 point

Both

None

For which of the following functions is the output zero-centered? *

1 point

sigmoid

relu

tanh

softplus

When the derivative of a function f(x) with respect to x is zero, then we necessarily have:

1 point

a local maxima

a local minima

a global maxima

a global minima

a critical point

Clear selection

If the second derivative of a function f(x) with respect to x is positive everywhere, then f(x) is:

1 point

Strictly convex

Strictly concave

Either convex or concave

Neither convex nor concave

Clear selection

How many parabolas of the form y = ax^2+bx+c can pass through a given point in the x-y plane?

1 point

Only one

Infinitely many

Can be zero depending on the coordinates of the point

Insufficient information to tell

Clear selection

How many parabolas of the form y = ax^2+bx+c can pass through a given point in the x-y plane with a given slope of the tangent at that point?

1 point

Only one

Infinitely many

Can be zero depending on the coordinates of the point

Insufficient information to tell

Clear selection

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