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.

4D-Var Data Assimilation

Full walkthrough of a 4D-Var scheme using a differentiable Lorenz-96 Tesseract — from building the Tesseract to running the optimization loop.

data-assimilation-4dvar.html
Lorenz Tesseract

Detailed implementation of the JAX-based Lorenz-96 solver Tesseract used in the 4D-Var demo.

lorenz_tesseract.html

Optimization tutorials

These tutorials walk through complete optimization workflows using Tesseracts with different autodiff frameworks:

JAX Rosenbrock Minimization

End-to-end function minimization using JAX autodiff with Tesseract-JAX.

https://si-tesseract.discourse.group/t/jax-based-rosenbrock-function-minimization/48
PyTorch Rosenbrock Minimization

End-to-end function minimization using PyTorch autodiff.

https://si-tesseract.discourse.group/t/pytorch-based-rosenbrock-function-minimization/44
JAX RBF Fitting

Gaussian radial basis function fitting with JAX automatic differentiation.

https://si-tesseract.discourse.group/t/jax-auto-diff-templates-gaussian-radial-basis-function-fitting/51