Star Coordinate Plot

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Star Coordinate Plot#

A Star Coordinate Plot maps a higher dimensional space with a non-linear function to two dimensions. Compared to Radviz, points can be outside of the circle.

Let us visualize some test data:

[1]:

from pymoo.problems import get_problem
from pymoo.util.ref_dirs import get_reference_directions

ref_dirs = get_reference_directions("uniform", 6, n_partitions=5)
F = get_problem("dtlz1").pareto_front(ref_dirs)

A simple Star Coordinate Plot with points can be created by:

[2]:

from pymoo.visualization.star_coordinate import StarCoordinate

StarCoordinate().add(F).show()

[2]:

<pymoo.visualization.star_coordinate.StarCoordinate at 0x7476d838cc10>
../_images/visualization_star_5_1.png
The plot can be further customized by supplying a `title`, `label`, and by using other plotting directives from matplotlib.
[3]:

plot = StarCoordinate(title="Optimization",
                      legend=(True, {'loc': "upper left", 'bbox_to_anchor': (-0.1, 1.08, 0, 0)}),
                      labels=["profit", "cost", "sustainability", "environment", "satisfaction", "time"],
                      axis_style={"color": "blue", 'alpha': 0.7},
                      arrow_style={"head_length": 0.015, "head_width": 0.03})
plot.add(F, color="grey", s=20)
plot.add(F[65], color="red", s=70, label="Solution A")
plot.add(F[72], color="green", s=70, label="Solution B")
plot.show()

[3]:

<pymoo.visualization.star_coordinate.StarCoordinate at 0x7476d5ab2250>
../_images/visualization_star_7_1.png

API#

class pymoo.visualization.star_coordinate.StarCoordinate(axis_extension: float = 1.03, **kwargs)[source]

Star coordinate plot visualization.

Parameters:

  • axis_extension – Extension factor for the axes.

  • axis_style – {axis_style}

  • labels – {labels}

  • endpoint_style – Endpoints are drawn at each extreme point of an objective. This style can be modified.

  • figsize – {figsize}

  • title – {title}

  • legend – {legend}

  • tight_layout – {tight_layout}

  • cmap – {cmap}

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