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verticapy.machine_learning.vertica.tree.DecisionTreeRegressor

class verticapy.machine_learning.vertica.tree.DecisionTreeRegressor(name: str = None, overwrite_model: bool = False, max_features: Literal['auto', 'max'] | int = 'auto', max_leaf_nodes: Annotated[int | float | Decimal, 'Python Numbers'] = 1000000000.0, max_depth: int = 100, min_samples_leaf: int = 1, min_info_gain: Annotated[int | float | Decimal, 'Python Numbers'] = 0.0, nbins: int = 32)

A DecisionTreeRegressor consisting of a single tree.

Parameters

name: str, optional

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

overwrite_model: bool, optional

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

max_features: str / int, optional

The number of randomly chosen features from which to pick the best feature to split on a given tree node. It can be an integer or one of the two following methods:

  • auto:

    square root of the total number of predictors.

  • max:

    number of predictors.

max_leaf_nodes: PythonNumber, optional

The maximum number of leaf nodes for a tree in the forest, an integer between 1 and 1e9, inclusive.

max_depth: int, optional

The maximum depth for growing each tree, an integer between 1 and 100, inclusive.

min_samples_leaf: int, optional

The minimum number of samples each branch must have after a node is split, an integer between 1 and 1e6, inclusive. Any split that results in fewer remaining samples is discarded.

min_info_gain: PythonNumber, optional

The minimum threshold for including a split, a float between 0.0 and 1.0, inclusive. A split with information gain less than this threshold is discarded.

nbins: int, optional

The number of bins to use for continuous features, an integer between 2 and 1000, inclusive.

Attributes

Many attributes are created during the fitting phase.

trees_: list of one BinaryTreeRegressor

One tree model which is instance of BinaryTreeRegressor. It possess various attributes. For more detailed information, refer to the documentation for BinaryTreeRegressor().

features_importance_: numpy.array

The importance of features. It is calculated using the MDI (Mean Decreased Impurity). To determine the final score, VerticaPy sums the scores of each tree, normalizes them and applies an activation function to scale them. It is necessary to use the features_importance() method to compute it initially, and the computed values will be subsequently utilized for subsequent calls.

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.

Important

Many tree-based models inherit from the RandomForest base class, and it’s recommended to use it directly for access to a wider range of options.

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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Rows: 1-100 | Columns: 14

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.

You can easily divide your dataset into training and testing subsets using the vDataFrame.train_test_split() method. This is a crucial step when preparing your data for machine learning, as it allows you to evaluate the performance of your models accurately.

data = vpd.load_winequality()
train, test = data.train_test_split(test_size = 0.2)

Warning

In this case, VerticaPy utilizes seeded randomization to guarantee the reproducibility of your data split. However, please be aware that this approach may lead to reduced performance. For a more efficient data split, you can use the vDataFrame.to_db() method to save your results into tables or temporary tables. This will help enhance the overall performance of the process.

Model Initialization

First we import the DecisionTreeRegressor model:

from verticapy.machine_learning.vertica import DecisionTreeRegressor

Then we can create the model:

model = DecisionTreeRegressor(
    max_features = "auto",
    max_leaf_nodes = 32,
    max_depth = 3,
    min_samples_leaf = 5,
    min_info_gain = 0.0,
    nbins = 32
)

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(
    train,
    [
        "fixed_acidity",
        "volatile_acidity",
        "citric_acid",
        "residual_sugar",
        "chlorides",
        "density"
    ],
    "quality",
    test,
)



===========
call_string
===========
SELECT rf_regressor('"public"."_verticapy_tmp_randomforestregressor_v_mldb_9cc4c518979c11efa8720242ac120002_"', '"public"."_verticapy_tmp_view_v_mldb_9cfada04979c11efa8720242ac120002_"', 'quality', '"fixed_acidity", "volatile_acidity", "citric_acid", "residual_sugar", "chlorides", "density"' USING PARAMETERS exclude_columns='', ntree=1, mtry=3, sampling_size=1, max_depth=3, max_breadth=32, min_leaf_size=5, min_info_gain=0, nbins=32);

=======
details
=======
   predictor    |      type      
----------------+----------------
 fixed_acidity  |float or numeric
volatile_acidity|float or numeric
  citric_acid   |float or numeric
 residual_sugar |float or numeric
   chlorides    |float or numeric
    density     |float or numeric


===============
Additional Info
===============
       Name       |Value
------------------+-----
    tree_count    |  1  
rejected_row_count|  0  
accepted_row_count|5200 

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.

Features Importance

We can conveniently get the features importance:

result = model.features_importance()

Note

In models such as RandomForest, feature importance is calculated using the MDI (Mean Decreased Impurity). To determine the final score, VerticaPy sums the scores of each tree, normalizes them and applies an activation function to scale them.

Metrics

We can get the entire report using:

model.report()
value
explained_variance0.175738325931752
max_error2.94337194337194
median_absolute_error0.503624939584341
mean_absolute_error0.625025236541239
mean_squared_error0.612111054322152
root_mean_squared_error0.782375264385417
r20.174952626357149
r2_adj0.171115196712299
aic-622.458575462804
bic-586.446828162504
Rows: 1-10 | Columns: 2

Important

Most metrics are computed using a single SQL query, but some of them might require multiple SQL queries. Selecting only the necessary metrics in the report can help optimize performance. E.g. model.report(metrics = ["mse", "r2"]).

You can utilize the score() function to calculate various regression metrics, with the R-squared being the default.

model.score()
Out[4]: 0.174952626357149

Prediction

Prediction is straight-forward:

model.predict(
    test,
    [
        "fixed_acidity",
        "volatile_acidity",
        "citric_acid",
        "residual_sugar",
        "chlorides",
        "density"
    ],
    "prediction",
)
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
prediction
Float(22)
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646.30.3050.2216.00.06126.0141.00.998243.080.59.150white5.50362493958434
656.30.340.296.20.04629.0227.00.99523.290.5310.160white5.67267683772538
666.30.410.33.20.0349.0164.00.99273.530.7911.771white5.67267683772538
676.30.410.334.70.02328.0110.00.9913.30.3812.571white6.61695906432748
686.40.120.31.10.03137.094.00.989863.010.5611.760white6.25038880248833
696.40.1250.361.40.04422.068.00.990143.150.511.771white6.25038880248833
706.40.140.311.20.03453.0138.00.990843.380.3511.571white6.25038880248833
716.40.170.271.50.03720.098.00.99163.460.4211.071white6.25038880248833
726.40.230.377.90.0560.0150.00.994882.860.499.360white5.50362493958434
736.40.260.496.40.03737.0161.00.99543.380.539.760white5.94337194337194
746.40.380.268.20.04328.098.00.992342.990.3111.460white5.67267683772538
756.40.450.071.10.0310.0131.00.99052.970.2810.850white6.25038880248833
766.50.150.555.90.04575.0162.00.994822.970.49.350white5.94337194337194
776.50.180.4818.00.05456.0183.01.000382.980.618.560white6.3453237410072
786.50.190.11.30.04623.0107.00.99373.290.4510.050white5.94337194337194
796.50.20.353.90.0427.0140.00.991022.980.5311.860white6.61695906432748
806.50.210.355.70.04347.0197.00.993923.240.510.160white5.94337194337194
816.50.220.191.10.06436.0191.00.992973.050.59.560white5.93393393393393
826.50.220.191.10.06436.0191.00.992973.050.59.560white5.93393393393393
836.50.230.3616.30.03843.0133.00.999243.260.418.850white5.94337194337194
846.50.240.362.20.02736.0134.00.98983.280.3612.571white6.25038880248833
856.50.240.3917.30.05222.0126.00.998883.110.479.260white5.50362493958434
866.50.260.58.00.05146.0197.00.995363.180.479.550white5.50362493958434
876.50.270.194.20.0466.0114.00.99553.250.358.640white5.67267683772538
886.50.270.196.60.04598.0175.00.993643.160.3410.160white5.67267683772538
896.50.270.196.60.04598.0175.00.993643.160.3410.160white5.67267683772538
906.50.270.410.00.03974.0227.00.995823.180.59.450white5.67267683772538
916.50.280.268.80.0444.0139.00.99563.320.3710.260white5.67267683772538
926.50.280.343.60.0429.0121.00.991113.280.4812.171white6.61695906432748
936.50.280.359.80.06761.0180.00.99723.150.579.040white5.50362493958434
946.50.330.388.30.04868.0174.00.994923.140.59.650white5.50362493958434
956.50.430.313.60.04619.0143.00.990223.150.3412.081white6.61695906432748
966.50.580.02.20.0963.013.00.995573.620.6211.540red5.50362493958434
976.60.170.281.10.03455.0108.00.989393.00.5211.971white6.25038880248833
986.60.170.352.60.0333.078.00.991463.220.7211.360white6.25038880248833
996.60.210.3111.40.03946.0165.00.997953.410.449.871white5.94337194337194
1006.60.210.345.60.04630.0140.00.992993.220.3811.050white5.94337194337194
Rows: 1-100 | Columns: 15

Note

Predictions can be made automatically using the test set, in which case you don’t need to specify the predictors. Alternatively, you can pass only the vDataFrame to the predict() function, but in this case, it’s essential that the column names of the vDataFrame match the predictors and response name in the model.

Plots

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_decision.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[5]: 'digraph Tree {\ngraph [bgcolor="#FFFFFFDD"];\n0 [label="\\"chlorides\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n0 -> 1 [label="<= 0.046625", color="#000000", fontcolor="#000000"]\n0 -> 2 [label="> 0.046625", color="#000000", fontcolor="#000000"]\n1 [label="\\"density\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n1 -> 3 [label="<= 0.991973", color="#000000", fontcolor="#000000"]\n1 -> 4 [label="> 0.991973", color="#000000", fontcolor="#000000"]\n2 [label="\\"volatile_acidity\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n2 -> 5 [label="<= 0.220625", color="#000000", fontcolor="#000000"]\n2 -> 6 [label="> 0.220625", color="#000000", fontcolor="#000000"]\n3 [label="\\"residual_sugar\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n3 -> 7 [label="<= 2.6375", color="#000000", fontcolor="#000000"]\n3 -> 8 [label="> 2.6375", color="#000000", fontcolor="#000000"]\n4 [label="\\"volatile_acidity\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n4 -> 9 [label="<= 0.2675", color="#000000", fontcolor="#000000"]\n4 -> 10 [label="> 0.2675", color="#000000", fontcolor="#000000"]\n5 [label="\\"density\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n5 -> 11 [label="<= 0.996836", color="#000000", fontcolor="#000000"]\n5 -> 12 [label="> 0.996836", color="#000000", fontcolor="#000000"]\n6 [label="\\"fixed_acidity\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n6 -> 13 [label="<= 10.228125", color="#000000", fontcolor="#000000"]\n6 -> 14 [label="> 10.228125", color="#000000", fontcolor="#000000"]\n7 [label="6.250389", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n8 [label="6.616959", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n9 [label="5.943372", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n10 [label="5.672677", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n11 [label="5.933934", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n12 [label="6.345324", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n13 [label="5.503625", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n14 [label="5.903409", fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n}'

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

Contour plot is another useful plot that can be produced for models with two predictors.

model.contour()

Important

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 Contour Plot for more examples.

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

To SQL

You can get the SQL code by:

model.to_sql()
Out[6]: '(CASE WHEN "chlorides" < 0.046625 THEN (CASE WHEN "density" < 0.991973 THEN (CASE WHEN "residual_sugar" < 2.6375 THEN 6.250389 ELSE 6.616959 END) ELSE (CASE WHEN "volatile_acidity" < 0.2675 THEN 5.943372 ELSE 5.672677 END) END) ELSE (CASE WHEN "volatile_acidity" < 0.220625 THEN (CASE WHEN "density" < 0.996836 THEN 5.933934 ELSE 6.345324 END) ELSE (CASE WHEN "fixed_acidity" < 10.228125 THEN 5.503625 ELSE 5.903409 END) END) END)'

To Python

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

X = [[4.2, 0.17, 0.36, 1.8, 0.029, 0.9899]]

model.to_python()(X)
Out[8]: array([6.250389])

Hint

The to_python() method is used to retrieve predictions, probabilities, or cluster distances. 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, max_features: Literal['auto', 'max'] | int = 'auto', max_leaf_nodes: Annotated[int | float | Decimal, 'Python Numbers'] = 1000000000.0, max_depth: int = 100, min_samples_leaf: int = 1, min_info_gain: Annotated[int | float | Decimal, 'Python Numbers'] = 0.0, nbins: int = 32) → 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.

deploySQL([X])

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, y[, test_relation, ...])

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, inplace])

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'.

regression_report([metrics])

Computes a regression report

report([metrics])

Computes a regression report

score([metric])

Computes the model score.

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