Demos & Tutorials¶
End-to-end examples that show Tesseracts in action — from optimization workflows to data assimilation.
Tip
For more community-contributed examples, check out the Tesseract Showcase on the forum.
Data assimilation demo¶
A complete 4D-Variational data assimilation scheme for a chaotic dynamical system, built with differentiable Tesseracts.
Full walkthrough of a 4D-Var scheme using a differentiable Lorenz-96 Tesseract — from building the Tesseract to running the optimization loop.
Detailed implementation of the JAX-based Lorenz-96 solver Tesseract used in the 4D-Var demo.
Simulation & design optimization demos¶
End-to-end differentiable optimization through physics simulators, using Tesseract-JAX to compose Tesseracts with JAX code.
Optimize the initial velocity field of a 2D Navier-Stokes simulation so its vorticity evolves into a target image — gradient-based optimization through a JAX-CFD Tesseract.
Compose a geometry Tesseract (PyVista, finite-difference gradients) with a FEM Tesseract (jax-fem) to optimize structural bar configurations for minimum compliance.
Optimization tutorials¶
These tutorials walk through complete optimization workflows using Tesseracts with different autodiff frameworks:
End-to-end function minimization using JAX autodiff with Tesseract-JAX.
End-to-end function minimization using PyTorch autodiff.
Gaussian radial basis function fitting with JAX automatic differentiation.