Examples Gallery¶

Visual gallery of Diffid applications and use cases.

Available Examples¶

Scalar Optimisation¶

Rosenbrock Function¶

Classic 2D optimisation test problem.

Files:

• python_problem.py
• python_contour.py

Topics: ScalarBuilder, contour plots, optimiser comparison

ODE Parameter Fitting¶

Logistic Growth¶

Single-variable ODE with DiffSL.

File: logistic_growth.py

Topics: DiffsolBuilder, DiffSL syntax, data fitting

Bouncy Ball¶

Physics-based model with event handling.

Files:

• bouncy_ball.py
• bouncy_ball_sampling.py

Topics: Event detection, parameter uncertainty, MCMC

Model Comparison¶

Bicycle Model¶

Comparing different bicycle dynamics formulations.

Files:

• bicycle_model_diffsol.py
• bicycle_model_evidence.py

Topics: Model selection, evidence calculation, Bayes factors

Multi-Backend ODE Solving¶

Predator-Prey Models¶

Lotka-Volterra equations with multiple solver backends.

Files:

• predator_prey_diffsol.py
• predator_prey_diffrax.py
• predator_prey_diffeqpy.py

Topics: VectorBuilder, JAX/Diffrax, Julia/DifferentialEquations.jl, performance comparison

Running Examples¶

Clone the repository:

git clone https://github.com/bradyplanden/diffid.git
cd diffid

Install dependencies:

pip install diffid matplotlib

Run an example:

python examples/python_problem.py

For ODE examples:

python examples/logistic_growth.py

For multi-backend examples (requires additional dependencies):

# For Diffrax (JAX)
pip install jax diffrax

# For DifferentialEquations.jl (Julia)
pip install diffeqpy
# Then follow Julia setup instructions

python examples/predator_prey/predator_prey_diffrax.py

Contributing Examples¶

Have an interesting use case? We'd love to include it!

1. Fork the repository
2. Add your example to examples/
3. Include a brief comment header explaining the example
4. Open a pull request

See the Contributing Guide for details.

See Also¶

• Tutorials - Interactive Jupyter notebooks
• Getting Started - Core concepts
• API Reference - Complete API docs