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Machine Learning - LOF Plot

General

vastorbit’s Local Outlier Factor (LOF) functionality is a powerful tool for detecting local anomalies or outliers within your data. LOF operates by evaluating the density of data points in the vicinity of each observation, highlighting instances that exhibit significantly different local behavior compared to their neighbors. This feature helps data analysts uncover irregularities in their datasets that may not be apparent through traditional global outlier detection methods. By providing insights into local data structures, vastorbit’s LOF empowers users to make informed decisions and identify critical data points that may require further investigation or action.

Let’s begin by importing vastorbit.

import vastorbit as vo

Let’s also import numpy to create a random dataset.

import numpy as np

Let’s generate a dataset using the following data.

N = 100 # Number of Records
k = 10 # step

# Normal Distributions
x = np.random.normal(5, 1, round(N / 2))
y = np.random.normal(3, 1, round(N / 2))
z = np.random.normal(3, 1, round(N / 2))

# Creating a VastFrame with two clusters
data = vo.VastFrame({
    "x": np.concatenate([x, x + k]),
    "y": np.concatenate([y, y + k]),
    "z": np.concatenate([z, z + k]),
})

Let’s proceed by creating Local Outlier Factors (LOFs) for various dimensions, including 1D, 2D, and 3D.

# Importing the VAST ML module
import vastorbit.machine_learning.vast as vml

# Defining the Models
model_lof_1d = vml.LocalOutlierFactor()
model_lof_2d = vml.LocalOutlierFactor()
model_lof_3d = vml.LocalOutlierFactor()

# Fitting the models
model_lof_1d.fit(data, "x")
model_lof_2d.fit(data, ["x", "y"])
model_lof_3d.fit(data, ["x", "y", "z"])

# Displaying the VastFrame
display(data)

In the context of data visualization, we have the flexibility to harness multiple plotting libraries to craft a wide range of graphical representations. vastorbit, as a versatile tool, provides support for several graphic libraries, such as Matplotlib and Plotly. Each of these libraries offers unique features and capabilities, allowing us to choose the most suitable one for our specific data visualization needs.

_images/plotting_libs.png

Note

To select the desired plotting library, we simply need to use the set_option() function. vastorbit offers the flexibility to smoothly transition between different plotting libraries. In instances where a particular graphic is not supported by the chosen library or is not supported within the vastorbit framework, the tool will automatically generate a warning and then switch to an alternative library where the graphic can be created.

Please click on the tabs to view the various graphics generated by the different plotting libraries.

We can switch to using the plotly module.

vo.set_option("plotting_lib", "plotly")
model_lof_1d.plot()
model_lof_2d.plot()
model_lof_3d.plot()

We can switch to using the matplotlib module.

vo.set_option("plotting_lib", "matplotlib")
model_lof_1d.plot()
model_lof_2d.plot()
model_lof_3d.plot()

Chart Customization

vastorbit empowers users with a high degree of flexibility when it comes to tailoring the visual aspects of their plots. This customization extends to essential elements such as color schemes, text labels, and plot sizes, as well as a wide range of other attributes that can be fine-tuned to align with specific design preferences and analytical requirements. Whether you want to make your visualizations more visually appealing or need to convey specific insights with precision, vastorbit’s customization options enable you to craft graphics that suit your exact needs.

Important

Different customization parameters are available for Plotly and Matplotlib. For a comprehensive list of customization features, please consult the documentation of the respective libraries: plotly, matplotlib.

Colors

Custom colors

model_lof_2d.plot(colors = ["red", "blue"])

Custom colors

model_lof_2d.plot(colors = ["red", "blue"])

Size

Custom Width and Height

model_lof_2d.plot(width = 300, height = 300)

Custom Width and Height

model_lof_2d.plot(width = 6, height = 3)

Text

Custom Title

model_lof_2d.plot().update_layout(title_text = "Custom Title")

Custom Axis Titles

model_lof_2d.plot(yaxis_title = "Custom Y-Axis Title")

Custom Title Text

model_lof_2d.plot().set_title("Custom Title")

Custom Axis Titles

model_lof_2d.plot().set_ylabel("Custom Y Axis")