Mathematical optimization for data visualization
Project description
vizopt
Mathematical optimization for data visualization, specifically designed for graph layouts with hierarchical inclusion constraints ("bubble layouts").
Uses JAX for automatic differentiation and JIT compilation to efficiently optimize layouts via gradient descent.
Read the documentation https://spectalizer.github.io/vizopt/.
Installation
pip install vizopt
Quick Start
import numpy as np
from vizopt.templates import circle_packing
# Define circle radii
rng = np.random.default_rng(0)
radii = rng.uniform(0.1, 1.0, size=20).tolist()
# Pack circles to minimize overlap and bounding box size
positions = circle_packing.optimize_circle_packing(
radii=radii,
weight_total_size=10.0,
collision_offset=0.05,
optim_kwargs={"n_iters": 3000, "learning_rate": 0.01},
)
# positions is a list of (x, y) tuples, one per circle
Features
- Multi-objective optimization (edge lengths, compactness, collision avoidance, inclusion constraints)
- Efficient JAX-based gradient descent with JIT compilation
- Handles arbitrary hierarchical inclusion relationships
- NetworkX integration
Examples
See examples/examples_with_bubbles.ipynb for detailed usage.
License
MIT
For developers
Documentation
Using Zensical.
uv run zensical serve
uv run python scripts/nb_to_md.py --execute examples/circle_packing.ipynb docs/examples/from-notebook-circle-packing.md
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