sympy2jax
Turn SymPy expressions into trainable JAX expressions. The output will be an Equinox module with all SymPy floats (integers, rationals, …) as leaves. SymPy symbols will be inputs.
Optimise your symbolic expressions via gradient descent!
Installation
pip install sympy2jax
Requires:
Python 3.7+
JAX 0.3.4+
Equinox 0.5.3+
SymPy 1.7.1+.
Example
import jax
import sympy
import sympy2jax
x_sym = sympy.symbols("x_sym")
cosx = 1.0 * sympy.cos(x_sym)
sinx = 2.0 * sympy.sin(x_sym)
mod = sympy2jax.SymbolicModule([cosx, sinx]) # PyTree of input expressions
x = jax.numpy.zeros(3)
out = mod(x_sym=x) # PyTree of results.
params = jax.tree_leaves(mod) # 1.0 and 2.0 are parameters.
# (Which may be trained in the usual way for Equinox.)
Documentation
sympy2jax.SymbolicModule(expressions, extra_funcs=None, make_array=True)
Where:
expressions is a PyTree of SymPy expressions.extra_funcs is an optional dictionary from SymPy functions to JAX operations, to extend the built-in translation rules.make_array is whether integers/floats/rationals should be stored as Python integers/etc., or as JAX arrays.
Instances can be called with key-value pairs of symbol-value, as in the above example.
Instances have a .sympy() method that translates the module back into a PyTree of SymPy expressions.
(That’s literally the entire documentation, it’s super easy.)
See also: other libraries in the JAX ecosystem
Always useful
Equinox: neural networks and everything not already in core JAX!
jaxtyping: type annotations for shape/dtype of arrays.
Deep learning
Optax: first-order gradient (SGD, Adam, …) optimisers.
Orbax: checkpointing (async/multi-host/multi-device).
Levanter: scalable+reliable training of foundation models (e.g. LLMs).
paramax: parameterizations and constraints for PyTrees.
Scientific computing
Diffrax: numerical differential equation solvers.
Optimistix: root finding, minimisation, fixed points, and least squares.
Lineax: linear solvers.
BlackJAX: probabilistic+Bayesian sampling.
PySR: symbolic regression. (Non-JAX honourable mention!)
Awesome JAX
Awesome JAX: a longer list of other JAX projects.
评论