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Gaussian noise

Gaussian noise is random variation whose values follow a Gaussian, or normal, probability distribution.

How 3 Manning books explain it

Deep Learning with JAX

Random noise with a Gaussian distribution added to data, here used to simulate image corruption.

How it is used
Augments images by simulating corruption or producing additional noisy training examples.
How deep it goes
Explains generation, scaling, addition, and normalization, while deferring detailed PRNG internals.
Examples
Uses camera-noise simulation, cat-and-dog augmentation, a shaped image tensor, and a normalized noisy image.
What you can do after
Apply it via JAX or scikit-image to generate, add, and normalize Gaussian noise for image augmentation.

Read how Deep Learning with JAX explains Gaussian noise →

Inside Deep Learning: Math, Algorithms, Models

Random perturbation sampled from a Gaussian distribution and added to data or activations to simulate noise.

How it is used
Uses perturbations to train denoising autoencoders that reconstruct clean inputs and learn robust representations.
How deep it goes
Explains the motivation and module placement but defers the Gaussian sampling formula and noise-scale selection details.
Examples
Demonstrates noisy OCR-like images, additive-noise autoencoders, and comparisons between clean, Gaussian-noisy, and dropout-noisy inputs.
What you can do after
Apply it via a training-only PyTorch noise module inside a denoising autoencoder.

Read how Inside Deep Learning: Math, Algorithms, Models explains Gaussian noise →

Grokking AI Algorithms, Second Edition

Gaussian noise is random variation whose values follow a Gaussian probability distribution.

How it is used
Uses predictable random variation to create training pairs for image diffusion models.
How deep it goes
Defines standard-normal sampling, explains its probability pattern, and implements progressive image noising with stored noise patterns.
Examples
Demonstrates Gaussian noise through progressively noisier images, probability-distribution visualization, and Python diffusion code.
What you can do after
Apply it via a forward-diffusion implementation that samples, scales, mixes, and records noise for model training.

Read how Grokking AI Algorithms, Second Edition explains Gaussian noise →

Related concepts

These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.