Why optimization finds best solutions in SciPy - Test Your Understanding

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the optimization function from scipy.

SciPy

from scipy.optimize import [1]

Drag options to blanks, or click blank then click option'

Afind

Boptimize

Csolve

Dminimize

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'optimize' which is the module name, not a function.

Using 'solve' which is unrelated here.

Using 'find' which is not a scipy function.

The minimize function is the main tool in scipy to find the best (minimum) solution of a function.

2fill in blank

medium

Complete the code to define the function to minimize.

SciPy

def f(x):
    return (x - [1])**2

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A0

B-1

C2

D5

Attempts:

3 left

💡 Hint

Common Mistakes

Choosing 0 which shifts the minimum to zero.

Choosing 5 which moves the minimum too far.

Choosing -1 which is negative and changes the minimum location.

The function f(x) = (x - 2)^2 has its minimum at x=2.

3fill in blank

hard

Fix the error in the optimization call by completing the missing argument.

SciPy

result = minimize(f, [1])

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A{2}

B[2]

C(2,)

D2

Attempts:

3 left

💡 Hint

Common Mistakes

Using an integer instead of a list.

Using a tuple which sometimes works but list is preferred.

Using a set which is unordered and invalid here.

The initial guess must be an array-like object, so [2] is correct.

4fill in blank

hard

Fill both blanks to print the best solution and its function value.

SciPy

print('Best x:', result.[1])
print('Minimum value:', result.[2])

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Ax

Bfun

Csolution

Dvalue

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'solution' which is not an attribute.

Using 'value' which is not an attribute.

Confusing 'x' and 'fun' attributes.

The attribute x holds the best solution, and fun holds the minimum function value.

5fill in blank

hard

Fill all three blanks to create a dictionary of squares for numbers greater than 3.

SciPy

squares = {word:word[1]2 for word in range(1, 6) if word [2] 3 and word [3] 4}

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A**

B>

C!=

D<

Attempts:

3 left

💡 Hint

Common Mistakes

Using '+' instead of '**' for power.

Using '<' instead of '>' for the condition.

Using '==' instead of '!=' to exclude 4.

The code creates squares of numbers greater than 3 and not equal to 4.