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verticapy.machine_learning.vertica.ensemble.IsolationForest

class verticapy.machine_learning.vertica.ensemble.IsolationForest(name: str = None, overwrite_model: bool = False, n_estimators: int = 100, max_depth: int = 10, nbins: int = 32, sample: float = 0.632, col_sample_by_tree: float = 1.0)

Creates an IsolationForest object using the Vertica IFOREST algorithm.

Parameters

name: str, optional

Name of the model. The model is stored in the DB.

overwrite_model: bool, optional

If set to True, training a model with the same name as an existing model overwrites the existing model.

n_estimators: int, optional

The number of trees in the forest, an integer between 1 and 1000, inclusive.

max_depth: int, optional

Maximum depth of each tree, an integer between 1 and 100, inclusive.

nbins: int, optional

Number of bins used to find splits in each column, where more splits leads to a longer runtime but more fine-grained, possibly better splits. Must be an integer between 2 and 1000, inclusive.

sample: float, optional

The portion of the input data set that is randomly selected for training each tree, a float between 0.0 and 1.0, inclusive.

col_sample_by_tree: float, optional

float in the range (0,1] that specifies the fraction of columns (features), chosen at random, to use when building each tree.

Attributes

Many attributes are created during the fitting phase.

trees_: list of BinaryTreeAnomaly

Tree models are instances of ` BinaryTreeAnomaly, each possessing various attributes. For more detailed information, refer to the documentation for BinaryTreeAnomaly.

psy_: int

Sampling size used to compute the final score.

n_estimators_: int

The number of model estimators.

Note

All attributes can be accessed using the get_attributes() method.

Note

Several other attributes can be accessed by using the get_vertica_attributes() method.

Examples

The following examples provide a basic understanding of usage. For more detailed examples, please refer to the Machine Learning or the Examples section on the website.

Load data for machine learning

We import verticapy:

import verticapy as vp

Hint

By assigning an alias to verticapy, we mitigate the risk of code collisions with other libraries. This precaution is necessary because verticapy uses commonly known function names like “average” and “median”, which can potentially lead to naming conflicts. The use of an alias ensures that the functions from verticapy are used as intended without interfering with functions from other libraries.

For this example, we will use the winequality dataset.

import verticapy.datasets as vpd

data = vpd.load_winequality()
123
fixed_acidity
Numeric(8)
123
volatile_acidity
Numeric(9)
123
citric_acid
Numeric(8)
123
residual_sugar
Numeric(9)
123
chlorides
Float(22)
123
free_sulfur_dioxide
Numeric(9)
123
total_sulfur_dioxide
Numeric(9)
123
density
Float(22)
123
pH
Numeric(8)
123
sulphates
Numeric(8)
123
alcohol
Float(22)
123
quality
Integer
123
good
Integer
Abc
color
Varchar(20)
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Note

VerticaPy offers a wide range of sample datasets that are ideal for training and testing purposes. You can explore the full list of available datasets in the Datasets, which provides detailed information on each dataset and how to use them effectively. These datasets are invaluable resources for honing your data analysis and machine learning skills within the VerticaPy environment.

Model Initialization

First we import the IsolationForest model:

from verticapy.machine_learning.vertica import IsolationForest

Then we can create the model:

model = IsolationForest(
    n_estimators = 10,
    max_depth = 3,
    nbins = 6,
)

Hint

In verticapy 1.0.x and higher, you do not need to specify the model name, as the name is automatically assigned. If you need to re-use the model, you can fetch the model name from the model’s attributes.

Important

The model name is crucial for the model management system and versioning. It’s highly recommended to provide a name if you plan to reuse the model later.

Model Training

We can now fit the model:

model.fit(data, X = ["density", "sulphates"])


===========
call_string
===========
SELECT iforest('"public"."_verticapy_tmp_isolationforest_v_mldb_c0efb2cc979711efa8720242ac120002_"', '"public"."_verticapy_tmp_view_v_mldb_c1267262979711efa8720242ac120002_"', '"density", "sulphates"' USING PARAMETERS exclude_columns='', ntree=10, sampling_size=0.632, col_sample_by_tree=1, max_depth=3, nbins=6);

=======
details
=======
predictor|      type      
---------+----------------
 density |float or numeric
sulphates|float or numeric


===============
Additional Info
===============
       Name       |Value
------------------+-----
    tree_count    | 10  
rejected_row_count|  0  
accepted_row_count|6497 

Important

To train a model, you can directly use the vDataFrame or the name of the relation stored in the database. The test set is optional and is only used to compute the test metrics. In verticapy, we don’t work using X matrices and y vectors. Instead, we work directly with lists of predictors and the response name.

Hint

For clustering and anomaly detection, the use of predictors is optional. In such cases, all available predictors are considered, which can include solely numerical variables or a combination of numerical and categorical variables, depending on the model’s capabilities.

Prediction

Prediction is straight-forward:

model.predict(data, ["density", "sulphates"])
123
fixed_acidity
Numeric(8)
123
volatile_acidity
Numeric(9)
123
citric_acid
Numeric(8)
123
residual_sugar
Numeric(9)
123
chlorides
Float(22)
123
free_sulfur_dioxide
Numeric(9)
123
total_sulfur_dioxide
Numeric(9)
123
density
Float(22)
123
pH
Numeric(8)
123
sulphates
Numeric(8)
123
alcohol
Float(22)
123
quality
Integer
123
good
Integer
Abc
color
Varchar(20)
123
Integer
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Rows: 1-100 | Columns: 15

Plots - Anomaly Detection

Plots highlighting the outliers can be easily drawn using:

model.plot()

Note

Most anomaly detection methods produce a score. In scenarios involving 2 or 3 predictors, using a bubble plot to visualize the model’s results is a straightforward approach. In such plots, the size of each bubble corresponds to the anomaly score.

Plots - Tree

Tree models can be visualized by drawing their tree plots. For more examples, check out Machine Learning - Tree Plots.

model.plot_tree()
../_images/machine_learning_vertica_tree_isolation_for_.png

Note

The above example may not render properly in the doc because of the huge size of the tree. But it should render nicely in jupyter environment.

In order to plot graph using graphviz separately, you can extract the graphviz DOT file code as follows:

model.to_graphviz()
Out[4]: 'digraph Tree {\ngraph [bgcolor="#FFFFFFDD"];\n0 [label="\\"sulphates\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n0 -> 1 [label="<= 1.11", color="#000000", fontcolor="#000000"]\n0 -> 2 [label="> 1.11", color="#000000", fontcolor="#000000"]\n1 [label="\\"sulphates\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n1 -> 3 [label="<= 0.516667", color="#000000", fontcolor="#000000"]\n1 -> 4 [label="> 0.516667", color="#000000", fontcolor="#000000"]\n2 [label="\\"density\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n2 -> 5 [label="<= 0.995755", color="#000000", fontcolor="#000000"]\n2 -> 6 [label="> 0.995755", color="#000000", fontcolor="#000000"]\n3 [label="\\"density\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n3 -> 7 [label="<= 1.0044", color="#000000", fontcolor="#000000"]\n3 -> 8 [label="> 1.0044", color="#000000", fontcolor="#000000"]\n4 [label="\\"density\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n4 -> 9 [label="<= 0.995755", color="#000000", fontcolor="#000000"]\n4 -> 10 [label="> 0.995755", color="#000000", fontcolor="#000000"]\n5 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#FFFFFFDD"><FONT color="#000000"><b>leaf</b></FONT></td></tr><tr><td port="port0" border="1" align="left">leaf_path_length: 2 </td></tr><tr><td port="port1" border="1" align="left"> training_row_count: 1 </td></tr><tr><td port="port2" border="1" align="left" bgcolor="#ff2a2a"><FONT color="#111111"> anomaly_score: 0.9159726154154832 </FONT> </td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n6 [label="\\"sulphates\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n6 -> 11 [label="<= 1.406667", color="#000000", fontcolor="#000000"]\n6 -> 12 [label="> 1.406667", color="#000000", fontcolor="#000000"]\n7 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#FFFFFFDD"><FONT color="#000000"><b>leaf</b></FONT></td></tr><tr><td port="port0" border="1" align="left">leaf_path_length: 3 </td></tr><tr><td port="port1" border="1" align="left"> training_row_count: 2202 </td></tr><tr><td port="port2" border="1" align="left" bgcolor="#ffffff"><FONT color="#111111"> anomaly_score: 0.46296069913125626 </FONT> </td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n8 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#FFFFFFDD"><FONT color="#000000"><b>leaf</b></FONT></td></tr><tr><td port="port0" border="1" align="left">leaf_path_length: 3 </td></tr><tr><td port="port1" border="1" align="left"> training_row_count: 1 </td></tr><tr><td port="port2" border="1" align="left" bgcolor="#ff3e3e"><FONT color="#111111"> anomaly_score: 0.8766449489165545 </FONT> </td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n9 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#FFFFFFDD"><FONT color="#000000"><b>leaf</b></FONT></td></tr><tr><td port="port0" border="1" align="left">leaf_path_length: 3 </td></tr><tr><td port="port1" border="1" align="left"> training_row_count: 1002 </td></tr><tr><td port="port2" border="1" align="left" bgcolor="#ffffff"><FONT color="#111111"> anomaly_score: 0.4960856325368617 </FONT> </td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n10 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#FFFFFFDD"><FONT color="#000000"><b>leaf</b></FONT></td></tr><tr><td port="port0" border="1" align="left">leaf_path_length: 3 </td></tr><tr><td port="port1" border="1" align="left"> training_row_count: 953 </td></tr><tr><td port="port2" border="1" align="left" bgcolor="#ffffff"><FONT color="#111111"> anomaly_score: 0.49827351266844966 </FONT> </td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n11 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#FFFFFFDD"><FONT color="#000000"><b>leaf</b></FONT></td></tr><tr><td port="port0" border="1" align="left">leaf_path_length: 3 </td></tr><tr><td port="port1" border="1" align="left"> training_row_count: 17 </td></tr><tr><td port="port2" border="1" align="left" bgcolor="#ff9494"><FONT color="#111111"> anomaly_score: 0.7095987402582004 </FONT> </td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n12 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#FFFFFFDD"><FONT color="#000000"><b>leaf</b></FONT></td></tr><tr><td port="port0" border="1" align="left">leaf_path_length: 3 </td></tr><tr><td port="port1" border="1" align="left"> training_row_count: 5 </td></tr><tr><td port="port2" border="1" align="left" bgcolor="#ff6a6a"><FONT color="#111111"> anomaly_score: 0.7915413907416241 </FONT> </td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n}'

This string can then be copied into a DOT file which can be parsed by graphviz.

Plots - Contour

In order to understand the parameter space, we can also look at the contour plots:

model.contour()

Note

Machine learning models with two predictors can usually benefit from their own contour plot. This visual representation aids in exploring predictions and gaining a deeper understanding of how these models perform in different scenarios. Please refer to chart_gallery.contour_plot for more examples.

Parameter Modification

In order to see the parameters:

model.get_params()
Out[5]: 
{'n_estimators': 10,
 'max_depth': 3,
 'nbins': 6,
 'sample': 0.632,
 'col_sample_by_tree': 1.0}

And to manually change some of the parameters:

model.set_params({'max_depth': 5})

Model Register

In order to register the model for tracking and versioning:

model.register("model_v1")

Please refer to /notebooks/ml/model_tracking_versioning/index.ipynb for more details on model tracking and versioning.

Model Exporting

To Memmodel

model.to_memmodel()

Note

MemModel objects serve as in-memory representations of machine learning models. They can be used for both in-database and in-memory prediction tasks. These objects can be pickled in the same way that you would pickle a scikit-learn model.

The preceding methods for exporting the model use MemModel, and it is recommended to use MemModel directly.

To SQL

You can get the SQL query equivalent of the IsolationForest model by:

model.to_sql()
Out[7]: 'POWER(2, - (((CASE WHEN "sulphates" < 1.11 THEN (CASE WHEN "sulphates" < 0.516667 THEN (CASE WHEN "density" < 1.0044 THEN 1.1110383670065496 ELSE 0.1899354416733378 END) ELSE (CASE WHEN "density" < 0.995755 THEN 1.01133891989417 ELSE 1.0049902099237684 END) END) ELSE (CASE WHEN "density" < 0.995755 THEN 0.12662362778222522 ELSE (CASE WHEN "sulphates" < 1.406667 THEN 0.4949246464446374 ELSE 0.33726330212896766 END) END) END) + (CASE WHEN "sulphates" < 1.11 THEN (CASE WHEN "density" < 0.995755 THEN (CASE WHEN "sulphates" < 0.516667 THEN 1.058918195042722 ELSE 1.0100688615503781 END) ELSE (CASE WHEN "sulphates" < 0.813333 THEN 1.061069515671021 ELSE 0.7116822063704441 END) END) ELSE (CASE WHEN "sulphates" < 1.703333 THEN (CASE WHEN "density" < 0.995755 THEN 0.1899354416733378 ELSE 0.5021873532867891 END) ELSE 0.12662362778222522 END) END) + (CASE WHEN "density" < 1.013045 THEN (CASE WHEN "density" < 0.995755 THEN (CASE WHEN "sulphates" < 0.516667 THEN 1.059869282174105 ELSE 1.0094290231134482 END) ELSE (CASE WHEN "sulphates" < 0.516667 THEN 0.9547730374437572 ELSE 1.0085277825912304 END) END) ELSE 0.06331181389111261 END) + (CASE WHEN "sulphates" < 0.813333 THEN (CASE WHEN "sulphates" < 0.516667 THEN 1.0458729258065607 ELSE 1.0191402196901955 END) ELSE (CASE WHEN "sulphates" < 1.11 THEN (CASE WHEN "density" < 0.995755 THEN 0.6526951429745972 ELSE 0.7169595333812641 END) ELSE (CASE WHEN "density" < 0.995755 THEN 0.1899354416733378 ELSE 0.521761140296238 END) END) END) + (CASE WHEN "density" < 1.0044 THEN (CASE WHEN "sulphates" < 0.813333 THEN (CASE WHEN "density" < 0.995755 THEN 1.1245002009086946 ELSE 1.0622584791932566 END) ELSE (CASE WHEN "sulphates" < 1.406667 THEN 0.7867121857017217 ELSE 0.30716713585632544 END) END) ELSE (CASE WHEN "sulphates" < 0.516667 THEN 0.12662362778222522 ELSE 0.12662362778222522 END) END) + (CASE WHEN "sulphates" < 1.11 THEN (CASE WHEN "density" < 0.995755 THEN 1.0633415535703787 ELSE (CASE WHEN "sulphates" < 0.516667 THEN 0.9555607471972777 ELSE 1.00472419350735 END) END) ELSE (CASE WHEN "sulphates" < 1.703333 THEN (CASE WHEN "sulphates" < 1.406667 THEN 0.47900954358011727 ELSE 0.26637764191040963 END) ELSE 0.12662362778222522 END) END) + (CASE WHEN "density" < 1.030335 THEN (CASE WHEN "sulphates" < 0.813333 THEN (CASE WHEN "sulphates" < 0.516667 THEN 1.1071257731106157 ELSE 1.0863550053361077 END) ELSE (CASE WHEN "sulphates" < 1.406667 THEN 0.7798243576638818 ELSE 0.36129776051984114 END) END) ELSE 0.06331181389111261 END) + (CASE WHEN "sulphates" < 1.703333 THEN (CASE WHEN "density" < 1.013045 THEN (CASE WHEN "density" < 1.0044 THEN 1.1896266786934437 ELSE 0.1899354416733378 END) ELSE 0.12662362778222522 END) ELSE 0.13975401412818442 END) + (CASE WHEN "density" < 1.013045 THEN (CASE WHEN "density" < 1.0044 THEN (CASE WHEN "density" < 0.995755 THEN 1.1255300857950152 ELSE 1.0710734792003613 END) ELSE 0.12662362778222522 END) ELSE 0.06331181389111261 END) + (CASE WHEN "sulphates" < 0.516667 THEN 0.9797287778669279 ELSE (CASE WHEN "density" < 0.995755 THEN (CASE WHEN "sulphates" < 0.813333 THEN 1.0012141413934377 ELSE 0.66299819902379 END) ELSE (CASE WHEN "sulphates" < 1.703333 THEN 1.0100688615503781 ELSE 0.25324725556445044 END) END) END)) / 10))'

Note

This SQL query can be directly used in any database.

Deploy SQL

To get the SQL query which uses Vertica functions use below:

model.deploySQL()
Out[8]: '((APPLY_IFOREST("density", "sulphates" USING PARAMETERS model_name = \'"public"."_verticapy_tmp_isolationforest_v_mldb_c0efb2cc979711efa8720242ac120002_"\', match_by_pos = \'true\', threshold = 0.7)).is_anomaly)::int'

To Python

To obtain the prediction function in Python syntax, use the following code:

X = [[0.9, 0.5]]

model.to_python()(X)
Out[10]: array([0.47088439])

Hint

The to_python() method is used to retrieve the anomaly score. For specific details on how to use this method for different model types, refer to the relevant documentation for each model.

__init__(name: str = None, overwrite_model: bool = False, n_estimators: int = 100, max_depth: int = 10, nbins: int = 32, sample: float = 0.632, col_sample_by_tree: float = 1.0) None

Must be overridden in the child class

Methods

__init__([name, overwrite_model, ...])

Must be overridden in the child class

contour([nbins, chart])

Draws the model's contour plot.

decision_function(vdf[, X, name, inplace])

Returns the anomaly score using the input relation.

deploySQL([X, cutoff, contamination, ...])

Returns the SQL code needed to deploy the model.

does_model_exists(name[, raise_error, ...])

Checks whether the model is stored in the Vertica database.

drop()

Drops the model from the Vertica database.

export_models(name, path[, kind])

Exports machine learning models.

features_importance([tree_id, show, chart])

Computes the model's features importance.

fit(input_relation[, X, return_report])

Trains the model.

get_attributes([attr_name])

Returns the model attributes.

get_match_index(x, col_list[, str_check])

Returns the matching index.

get_params()

Returns the parameters of the model.

get_plotting_lib([class_name, chart, ...])

Returns the first available library (Plotly, Matplotlib, or Highcharts) to draw a specific graphic.

get_score([tree_id])

Returns the feature importance metrics for the input tree.

get_tree([tree_id])

Returns a table with all the input tree information.

get_vertica_attributes([attr_name])

Returns the model Vertica attributes.

import_models(path[, schema, kind])

Imports machine learning models.

plot([max_nb_points, chart])

Draws the model.

plot_tree([tree_id, pic_path])

Draws the input tree.

predict(vdf[, X, name, cutoff, ...])

Predicts using the input relation.

register(registered_name[, raise_error])

Registers the model and adds it to in-DB Model versioning environment with a status of 'under_review'.

set_params([parameters])

Sets the parameters of the model.

summarize()

Summarizes the model.

to_binary(path)

Exports the model to the Vertica Binary format.

to_graphviz([tree_id, classes_color, ...])

Returns the code for a Graphviz tree.

to_memmodel()

Converts the model to an InMemory object that can be used for different types of predictions.

to_pmml(path)

Exports the model to PMML.

to_python([return_proba, ...])

Returns the Python function needed for in-memory scoring without using built-in Vertica functions.

to_sql([X, return_proba, ...])

Returns the SQL code needed to deploy the model without using built-in Vertica functions.

to_tf(path)

Exports the model to the Frozen Graph format (TensorFlow).

Attributes