Aggregations and Statistics Operations with Tensors
TensorFlow provides several aggregation functions for statistical analysis using .reduce(). Reduction operations in TensorFlow involve performing operations across specific axes of a tensor, reducing the dimensionality of the tensor in the process.
For implementation, the below code demonstrates how to calculate the mean along columns. The axis parameter specifies the axis along which the operations are performed.
tf.reduce_meanis used to compute the mean along a specified axis (axis=0 means column-wise).
import tensorflow as tf
x = tf.constant([[1, 2, 3], [4, 5, 6]])
mean_result = tf.reduce_mean(x, axis=0)
print(mean_result)
Output:
tf.Tensor([2 3 4], shape=(3,), dtype=int32)
Logical AND and OR operations
tf.reduce_all and tf.reduce_any: Compute the logical AND and OR operations, respectively, across elements along a specified axis or axes.
import tensorflow as tf
x = tf.constant([[True, False, True], [False, True, True]])
all_result = tf.reduce_all(x, axis=1)
any_result = tf.reduce_any(x, axis=0)
print(all_result)
print(any_result)
Output:
tf.Tensor([False False], shape=(2,), dtype=bool)
tf.Tensor([ True True True], shape=(3,), dtype=bool)
log-space operations
tf.math.reduce_logsumexp: Computes the logarithm of the sum of exponentials of elements along a specified axis or axes. This is useful for numerical stability in log-space operations.
import tensorflow as tf
x = tf.constant([[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]])
logsumexp_result = tf.math.reduce_logsumexp(x, axis=1)
print(logsumexp_result)
Output:
tf.Tensor([3.407606 6.407606], shape=(2,), dtype=float32)
Numerical Operations in TensorFlow
TensorFlow is an open-source machine-learning library developed by Google. TensorFlow is used to build and train deep learning models as it facilitates the creation of computational graphs and efficient execution on various hardware platforms. Here, we will learn some of the basic Numerical operations available in TensorFlow and how they can be used.
Table of Content
- TensorFlow Numerical Operations
- Mathematical Operations with Tensors
- Element-wise Operations with Tensors
- Aggregations and Statistics Operations with Tensors
- Automatic Differentiation with Tensors