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jax-ml/jax

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34,919 stars·3,432 forks·Python·apache-2.0·0 viewsdocs.jax.dev↗

Jax

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Features

  • Automatic Differentiation Engines - Rewrites mathematical functions into their derivative equivalents by applying symbolic transformation rules to the underlying computational graph.
  • Automatic Differentiation Frameworks - Computes exact gradients and higher-order derivatives of complex functions using both forward and reverse modes.
  • Gradient Computation - Calculates function gradients to support repeated differentiation for complex models.
  • Just-In-Time Compilers - Transforms high-level code into optimized intermediate representations by tracing execution paths to enable just-in-time compilation.
  • Parallel Execution Runtimes - Executes identical code across multiple hardware devices by mapping operations over partitioned data shards to achieve massive scale numerical computation.
  • Numerical Computing Libraries - Transforms standard code into optimized, hardware-accelerated operations for large-scale scientific and machine learning workloads.
  • Gradient Calculation Tools - Computes gradients and Jacobians using automatic differentiation to support efficient numerical workflows.
  • Neural Network Parallelism - Distributes neural network training and inference across multiple devices using manual parallelism strategies.
  • Distributed Computing Platforms - Manages data sharding and collective communication across multiple hardware devices and multi-dimensional meshes.
  • Compilation Engines - Converts high-level functional code into efficient machine instructions for execution on diverse hardware backends.
  • Pure Function Enforcement - Ensures consistent function outputs by passing all data through parameters and avoiding side effects to maintain compatibility with automated transformations.
  • Gradient Computation Engines - Enables efficient optimization and training of complex systems by calculating precise gradients and derivatives.
  • Reverse-Mode Differentiation - Evaluates vector-Jacobian products to enable efficient reverse-mode automatic differentiation.
  • Distributed Function Mapping - Executes functions across multiple devices while maintaining explicit control over data partitioning.
  • Distributed Computing Topologies - Organizes physical processing units into logical grids to define communication topologies and control data distribution across hardware memory.
  • Distributed Parallelism APIs - Distributes computations across multiple hardware units by mapping functions over data shards and managing device meshes.
  • GPU Acceleration Libraries - Simplifies setup for running intensive computations on compatible graphics processing units.
  • Traceable Control Flow - Implements traceable conditional branching and loops that remain compatible with compilation to avoid unnecessary re-compilation.
  • Hardware-Accelerated Computing - Accelerates complex mathematical operations and scientific simulations by leveraging specialized hardware for maximum execution speed.
  • Array Partitioning Specifications - Defines how array values are stored across physical device memories to control data layout.
  • Array Vectorization Utilities - Maps operations over array axes automatically to enable efficient batch processing and broadcasting across multidimensional data structures.
  • Data Sharding Strategies - Controls the physical layout of multidimensional arrays across distributed memory by applying explicit constraints to guide data movement.
  • Distributed Array Processing - Scales large-scale data computations across multiple hardware devices by automatically partitioning arrays and managing communication.
  • Immutable Array Updates - Modifies array values using immutable indexing operations to ensure compatibility with functional programming patterns.
  • Device Mesh Topologies - Organizes hardware into multi-dimensional grids to control data and computation distribution.
  • CPU Runtimes - Enables local development by installing software packages for general-purpose processors.
  • Forward-Mode Differentiation - Evaluates Jacobian-vector products to enable efficient forward-mode automatic differentiation.
  • Parallel Matrix Operations - Implements custom parallel matrix multiplication by sharding input tensors across devices.
  • Containerized Computing - Supports deployment of pre-configured software images for isolated execution on specialized hardware.
  • Compilation Contexts - Accelerates execution by compiling functions into specialized machine code while managing compilation contexts and inspecting intermediate representations.
  • Functional Programming Interfaces - Enforces immutable data transformations and pure function composition to enable reliable optimization and automated code analysis.
  • Numerical Error Diagnostics - Detects and locates the source of invalid numerical values like NaN or Inf during function execution and gradient calculation.
  • Custom Differentiation Rules - Overrides standard differentiation behavior by specifying custom Jacobian-vector or vector-Jacobian products.
  • Higher-Order Differentiation - Calculates full Jacobian or dense Hessian matrices using advanced differentiation modes.
  • Collective Communication Operations - Performs explicit collective operations to manage communication between devices.
  • Distributed Synchronization - Executes communication between function instances to synchronize data across hardware.
  • Logical Array Operations - Executes element-wise logical operations on arrays that remain compatible with compilation and avoid reliance on standard language-specific short-circuiting.
  • Dependency Managers - Automates dependency and driver management using community-maintained package managers.
  • Cloud Infrastructure Support - Provides pre-built packages for configuring software environments on cloud-based tensor processing units.
  • Hardware Acceleration Drivers - Provides manual installation procedures for hardware drivers and software packages on host systems.
  • Functional Programming Utilities - Enforces pure functional programming patterns by treating array updates as new allocations to ensure compatibility with automated graph optimization.
  • Automatic Differentiation Utilities - Calculates derivatives for complex-valued functions using real-valued pair identification for robust mathematical modeling.
  • This project is a high-performance numerical computing library designed for large-scale scientific and machine learning workloads. It functions as an automatic differentiation framework and a just-in-time compilation engine, transforming high-level Python code into optimized machine instructions. By enforcing pure functional programming patterns and immutable array semantics, the library ensures that mathematical functions remain compatible with automated graph transformations and symbolic differentiation.

    The platform distinguishes itself through its distributed array computing capabilities, which allow for massive-scale numerical computation across multiple hardware devices. Users can organize processing units into multi-dimensional device meshes and apply explicit partition specifications to control data sharding and communication topologies. This approach enables single-program multiple-data parallelism, where identical code is mapped over partitioned data shards to achieve efficient execution on diverse hardware backends.

    Beyond its core transformation and distribution engines, the library provides a comprehensive suite of tools for complex mathematical modeling. It supports forward and reverse-mode automatic differentiation, including the calculation of gradients, Jacobians, and Hessians, with the ability to define custom derivative behaviors. The system also includes traceable control flow and logical operations that remain compatible with compilation, alongside diagnostic tools for identifying numerical errors during execution.

    The software supports a wide range of deployment environments, including CPUs, NVIDIA GPUs, and Cloud TPUs, with installation options available through standard package managers, containerized images, or source builds.