Dendrogram#

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Title
Dendrogram Element
Dependencies
Bokeh
Backends
Bokeh
Matplotlib
import random

import numpy as np
import pandas as pd

import holoviews as hv

hv.extension("bokeh")

A Dendrogram element represents a hierarchical tree structure, where branches connect nodes in two-dimensional space.

In this example we will create a simple tree structure. While the default behavior for dendrograms is to hide axis labels, we will show them for this first example to make it easier to see the relationship between the input data and the output plot.

x = np.array(
    [
        [35.0, 35.0, 45.0, 45.0],
        [25.0, 25.0, 40.0, 40.0],
        [15.0, 15.0, 32.5, 32.5],
        [5.0, 5.0, 23.75, 23.75],
    ]
)
y = np.array(
    [
        [0.0, 1.04158712, 1.04158712, 0.0],
        [0.0, 1.18037928, 1.18037928, 1.04158712],
        [0.0, 1.20879035, 1.20879035, 1.18037928],
        [0.0, 1.31643301, 1.31643301, 1.20879035],
    ]
)
dendrogram = hv.Dendrogram(x, y).opts(xaxis=True, yaxis=True)
dendrogram

A dendrogram usually complements another plot to describe the hierarchy in that data structure. This can be done with the dendrogram operation, which adjoins dendrograms to the main plot.

df = pd.DataFrame(
    [(i, chr(65 + j), random.random()) for j in range(10) for i in range(5)],
    columns=["z", "x", "y"],
)
heatmap = hv.HeatMap(df)
heatmap

from holoviews.operation import dendrogram

hv.operation.dendrogram(heatmap, adjoint_dims=["x", "z"], main_dim="y")
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