Valueerror: operands could not be broadcast together with shapes

This Valueerror operands could not be broadcast together with shapes error typically occurs when performing mathematical operations on arrays with incompatible shapes.

It is a common issue faced by developers and data scientists working with numerical computations and data manipulation.

In this article, we will dive deep into this error, understand its causes, and explore examples and solutions to resolve it effectively.

What is the ValueError operands could not be broadcast together with shapes error?

The ValueError operands could not be broadcast together with shapes error is a specific type of ValueError in Python. It occurs when you try to perform arithmetic or mathematical operations on arrays or tensors that have incompatible shapes.

Example 1: Addition of arrays with different shapes

import numpy as np

a = np.array([1, 2, 3])
b = np.array([4, 5])

c = a + b  # Raises ValueError: operands could not be broadcast together with shapes

Output:

Traceback (most recent call last):
File “C:\Users\Dell\PycharmProjects\Python-Code-Example\main.py”, line 6, in
c = a + b
ValueError: operands could not be broadcast together with shapes (3,) (2,)

In this example, we have two arrays a and b with different shapes. Array a has three elements, while array b has only two elements.

When we try to perform element-wise addition using the + operator, it raises the ValueError because the arrays cannot be broadcast together due to their incompatible shapes.

Example 2: Multiplication of arrays with incompatible shapes

import numpy as np

a = np.array([[1, 2], [3, 4]])
b = np.array([5, 6, 7])

c = a * b 

Output:

Traceback (most recent call last):
File “C:\Program Files\JetBrains\PyCharm Community Edition 2022.3.2\plugins\python-ce\helpers\pydev\pydevd.py”, line 1496, in _exec
pydev_imports.execfile(file, globals, locals) # execute the script
File “C:\Program Files\JetBrains\PyCharm Community Edition 2022.3.2\plugins\python-ce\helpers\pydev_pydev_imps_pydev_execfile.py”, line 18, in execfile
exec(compile(contents+”\n”, file, ‘exec’), glob, loc)
File “C:\Users\Dell\PycharmProjects\Python-Code-Example\main.py”, line 6, in
c = a * b
ValueError: operands could not be broadcast together with shapes (2,2) (3,)

Solutions to ValueError: operands could not be broadcast together with shapes

To resolve the operands could not be broadcast together with shapes error, you can apply the following solutions:

Solution 1: Reshape or expand the arrays

One way to resolve the error is to reshape or expand the arrays to ensure compatibility. You can use the reshape() function from NumPy to change the shape of an array.

Example Program:

import numpy as np

a = np.array([1, 2, 3])
b = np.array([4, 5])

# Reshape array b to have the same shape as array a
b_reshaped = b.reshape((2, 1))

c = a + b_reshaped  # Perform element-wise addition

print(c)

Output:

[[5 6 7]
[6 7 8]]

In the example above, we reshape the array b to have the shape (2, 1) using the reshape() function.

This allows the arrays a and b_reshaped to have compatible shapes for element-wise addition.

Solution 2: Expand dimensions using np.newaxis

Another solution to solve this error is to expand the dimensions of the array using np.newaxis.

This method adds a new axis to the array, effectively changing its shape.

import numpy as np

a = np.array([1, 2, 3])
b = np.array([4, 5])

# Expand dimensions of array b
b_expanded = b[:, np.newaxis]

c = a + b_expanded  # Perform element-wise addition

print(c)

Here, the np.newaxis is used to add a new axis to the array b, resulting in a shape of (2, 1).

The arrays a and b_expanded now have compatible shapes, allowing the addition operation to be performed successfully.

FAQs

Conclusion

The ValueError: operands could not be broadcast together with shapes error is a common issue when performing arithmetic operations on arrays with incompatible shapes.

In this article, we show some examples of this error and provided solutions to resolve it.

By reshaping or expanding the dimensions of arrays, you can ensure compatibility and perform the desired operations successfully.

Additional Resources

• Valueerror expected object or value
• Valueerror format specifier missing precision
• Valueerror axes don’t match array