Basin-hopping for global minima in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the basin-hopping optimizer from scipy.

SciPy

from scipy.optimize import [1]

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

Acurve_fit

Bminimize

Croot

Dbasinhopping

Attempts:

3 left

💡 Hint

Common Mistakes

Choosing 'minimize' which is for local optimization.

Choosing 'root' which is for solving equations.

The basinhopping function is the correct optimizer for global minima using basin-hopping.

2fill in blank

medium

Complete the code to define a simple quadratic function to minimize.

SciPy

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

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

A-3

B0

C2

D5

Attempts:

3 left

💡 Hint

Common Mistakes

Choosing 0 or other values that do not match the minimum location.

The function has its minimum at x=2 because it is (x-2)**2 + 1.

3fill in blank

hard

Fix the error in the code to run basin-hopping on the function starting at x=0.

SciPy

from scipy.optimize import basinhopping

result = basinhopping(func, [1])
print(result.x)

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

A[0]

B0

C(0,)

D{0}

Attempts:

3 left

💡 Hint

Common Mistakes

Passing a scalar instead of a list or array.

Using a tuple or set which are not accepted here.

The starting point must be an array-like, so [0] is correct.

4fill in blank

hard

Fill both blanks to create a callback function that prints the current minimum value and coordinates.

SciPy

def print_callback(x, f, accept):
    print(f"Current minimum value: {f}, at position: {x[1]")

result = basinhopping(func, [0], callback=[2])

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

A.tolist()

Bprint_callback

Cstr

Dlambda

Attempts:

3 left

💡 Hint

Common Mistakes

Using str instead of .tolist() for printing.

Passing a lambda instead of the named callback function.

The callback function is named print_callback, and x.tolist() converts the array to a list for nicer printing.

5fill in blank

hard

Fill all three blanks to create a dictionary comprehension that maps each x in range(5) to its basin-hopping minimum starting at x.

SciPy

results = [1]: basinhopping(func, [x]).x[0] for x in range([2]) if x [3] 3
print(results)

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

A{x

B5

C<

D[x

Attempts:

3 left

💡 Hint

Common Mistakes

Using square brackets instead of curly braces for dictionary.

Using wrong range or comparison operator.

The dictionary comprehension starts with {x, loops over range(5), and filters with x < 3.