Performing element-wise multiplication

Element-wise multiplication in TensorFlow is performed using two tensors with identical shapes. This is because the operation multiplies elements in corresponding positions in the two tensors. An example of an element-wise multiplication, denoted by the \(\odot\) symbol, is shown below:

\(\begin{bmatrix} 1 & 2 \\ 2 & 1 \end{bmatrix} \odot \begin{bmatrix} 3 & 1 \\ 2 & 5 \end{bmatrix} = \begin{bmatrix} 3 & 2 \\ 4 & 5 \end{bmatrix}\)

In this exercise, you will perform element-wise multiplication, paying careful attention to the shape of the tensors you multiply. Note that multiply(), constant(), and ones_like() have been imported for you.

This exercise is part of the course

Introduction to TensorFlow in Python

Exercise instructions

Define the tensors A1 and A23 as constants.
Set B1 to be a tensor of ones with the same shape as A1.
Set B23 to be a tensor of ones with the same shape as A23.
Set C1 and C23 equal to the element-wise products of A1 and B1, and A23 and B23, respectively.

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Define tensors A1 and A23 as constants
A1 = ____([1, 2, 3, 4])
A23 = ____([[1, 2, 3], [1, 6, 4]])

# Define B1 and B23 to have the correct shape
B1 = ones_like(____)
B23 = ____

# Perform element-wise multiplication
C1 = ____
C23 = ____

# Print the tensors C1 and C23
print('\n C1: {}'.format(C1.numpy()))
print('\n C23: {}'.format(C23.numpy()))

Edit and Run Code

This exercise is part of the course

Introduction to TensorFlow in Python

IntermediateSkill Level

4.8+

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Before you can build advanced models in TensorFlow 2, you will first need to understand the basics. In this chapter, you’ll learn how to define constants and variables, perform tensor addition and multiplication, and compute derivatives. Knowledge of linear algebra will be helpful, but not necessary.

Exercise 1: Constants and variables Exercise 2: Defining data as constants Exercise 3: Defining variables Exercise 4: Basic operations Exercise 5: Performing element-wise multiplication

Current Exercise

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Exercise 1: Dense layers Exercise 2: The linear algebra of dense layers Exercise 3: The low-level approach with multiple examples Exercise 4: Using the dense layer operation Exercise 5: Activation functions Exercise 6: Binary classification problems Exercise 7: Multiclass classification problems Exercise 8: Optimizers Exercise 9: The dangers of local minima Exercise 10: Avoiding local minima Exercise 11: Training a network in TensorFlow Exercise 12: Initialization in TensorFlow Exercise 13: Defining the model and loss function Exercise 14: Training neural networks with TensorFlow

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Exercise 1: Defining neural networks with Keras Exercise 2: The sequential model in Keras Exercise 3: Compiling a sequential model Exercise 4: Defining a multiple input model Exercise 5: Training and validation with Keras Exercise 6: Training with Keras Exercise 7: Metrics and validation with Keras Exercise 8: Overfitting detection Exercise 9: Evaluating models Exercise 10: Training models with the Estimators API Exercise 11: Preparing to train with Estimators Exercise 12: Defining Estimators Exercise 13: Congratulations!