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JAX

Google (Chrome DevTools team) · Training & fine-tuning

Python library for NumPy-style array computing with composable transformations (jit, grad, vmap, shard_map) compiled through XLA to CPU, GPU and TPU

Apache-2.0Open sourceFreeLocalSelf-hostedNov 2, 2026

Julia

The Julia Project · Programming languages & runtimes

Dynamically typed, JIT-compiled language for numerical and scientific computing that aims to combine high-level syntax with compiled-code speed

MITOpen sourceFreeLocalSelf-hostedNov 2, 2026

NumPy

NumPy developers (NumFOCUS) · DataFrames & array computing

Foundational Python library for n-dimensional arrays, vectorized math, linear algebra, random numbers and the array API used by the scientific stack

BSD-3-ClauseOpen sourceFreeLocalBroken

PyTorch

PyTorch Foundation (Linux Foundation) · Training & fine-tuning

Open-source deep-learning framework with eager tensors, autograd, torch.compile and distributed training, governed by the PyTorch Foundation and the base of most LLM tooling

BSD-3-ClauseOpen sourceFreeLocalSelf-hostedBroken

R

R Foundation / R Core Team · Programming languages & runtimes

Language and environment for statistical computing and graphics, with the CRAN package archive and a strong base in academic statistics and econometrics

GPL-2.0-or-laterOpen sourceFreeLocalSelf-hostedNov 2, 2026

scikit-learn

scikit-learn developers · Mathematical & statistical computing

BSD-licensed Python machine-learning library for classification, regression, clustering, dimensionality reduction, preprocessing and model selection on NumPy and SciPy

BSD-3-ClauseFreeOpen sourceLocalNov 2, 2026

SciPy

SciPy developers (NumFOCUS) · Mathematical & statistical computing

Core open-source Python library for scientific computing on NumPy arrays: optimization, integration, interpolation, linear algebra, sparse matrices, statistics, signal processing

BSD-3-ClauseFreeOpen sourceLocalNov 2, 2026

SymPy

SymPy Development Team · Mathematical & statistical computing

Pure-Python computer algebra system for symbolic algebra, calculus, equation solving, matrices, physics modules, code generation and LaTeX output

BSD-3-ClauseFreeOpen sourceLocalNov 2, 2026

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