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Flax

As explained in Deep Learning with JAX

A high-level neural-network library built on JAX that provides a functional core and module-based APIs.

Flax is a high-level neural-network library for JAX. Its Linen API combines familiar module-based modeling with JAX’s functional transformations, so you can assemble reusable dense, convolutional, LSTM, attention, and activation-function blocks without implementing everything from low-level primitives. section 11.0 section 11.4

A practical Flax workflow separates model definition from state handling:

  • Define a network with Linen Modules, using an object-oriented style inside a functional system. section 11.4
  • Initialize parameters and other model variables with the instantiated Module’s init() method. section 11.4
  • Run a forward pass with apply(), passing variables and input data explicitly. section 11.4
  • Represent simple training state with TrainState and pair training with Optax gradient transformations. section 11.0 section 11.4

A model pass

Create a Linen Module, call init() to obtain its variables, then call apply() with those variables and an input batch. The same explicit handling extends to internal state such as BatchNorm state, while TrainState can collect parameters, optimizer information, and metrics for a training loop. section 11.4 section 11.0

How Deep Learning with JAX covers it

How deep it goes
Explains modules, initialization, application, training state, and internal state, but defers detailed layer implementations.
Examples
Uses MNIST MLP and residual image-classification networks, plus Hugging Face transformer and diffusion workflows.
What it assumes
Assumes familiarity with JAX’s functional approach while connecting it to higher-level neural-network APIs.
What you can do after
Builds and trains JAX neural networks using Linen Modules, explicit variables, TrainState, and Optax.
How it connects
Connects Linen Modules with JAX transformations, Optax, TrainState, CLU, BatchNorm, transformers, and diffusers.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Deep Learning with JAX. The section links point to the parts of the book it draws on.