verticapy.machine_learning.vertica.tree.DecisionTreeClassifier¶
- class verticapy.machine_learning.vertica.tree.DecisionTreeClassifier(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 DecisionTreeClassifier 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 BinaryTreeClassifier
One tree model which is instance of
BinaryTreeClassifier. It possess various attributes. For more detailed information, refer to the documentation forBinaryTreeClassifier().- 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.- classes_: numpy.array
The classes labels.
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
RandomForestbase 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 fromverticapyare 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()
123fixed_acidity123volatile_acidity123citric_acid123residual_sugar123chlorides123free_sulfur_dioxide123total_sulfur_dioxide123density123pH123sulphates123alcohol123quality123goodAbccolor1 3.9 0.225 0.4 4.2 0.03 29.0 118.0 0.989 3.57 0.36 12.8 8 1 white 2 4.7 0.335 0.14 1.3 0.036 69.0 168.0 0.99212 3.47 0.46 10.5 5 0 white 3 4.7 0.455 0.18 1.9 0.036 33.0 106.0 0.98746 3.21 0.83 14.0 7 1 white 4 4.7 0.785 0.0 3.4 0.036 23.0 134.0 0.98981 3.53 0.92 13.8 6 0 white 5 4.9 0.345 0.34 1.0 0.068 32.0 143.0 0.99138 3.24 0.4 10.1 5 0 white 6 4.9 0.345 0.34 1.0 0.068 32.0 143.0 0.99138 3.24 0.4 10.1 5 0 white 7 4.9 0.42 0.0 2.1 0.048 16.0 42.0 0.99154 3.71 0.74 14.0 7 1 red 8 5.0 0.27 0.4 1.2 0.076 42.0 124.0 0.99204 3.32 0.47 10.1 6 0 white 9 5.0 0.31 0.0 6.4 0.046 43.0 166.0 0.994 3.3 0.63 9.9 6 0 white 10 5.0 0.4 0.5 4.3 0.046 29.0 80.0 0.9902 3.49 0.66 13.6 6 0 red 11 5.0 0.44 0.04 18.6 0.039 38.0 128.0 0.9985 3.37 0.57 10.2 6 0 white 12 5.1 0.11 0.32 1.6 0.028 12.0 90.0 0.99008 3.57 0.52 12.2 6 0 white 13 5.1 0.14 0.25 0.7 0.039 15.0 89.0 0.9919 3.22 0.43 9.2 6 0 white 14 5.1 0.165 0.22 5.7 0.047 42.0 146.0 0.9934 3.18 0.55 9.9 6 0 white 15 5.1 0.33 0.22 1.6 0.027 18.0 89.0 0.9893 3.51 0.38 12.5 7 1 white 16 5.1 0.33 0.22 1.6 0.027 18.0 89.0 0.9893 3.51 0.38 12.5 7 1 white 17 5.1 0.33 0.22 1.6 0.027 18.0 89.0 0.9893 3.51 0.38 12.5 7 1 white 18 5.1 0.39 0.21 1.7 0.027 15.0 72.0 0.9894 3.5 0.45 12.5 6 0 white 19 5.2 0.2 0.27 3.2 0.047 16.0 93.0 0.99235 3.44 0.53 10.1 7 1 white 20 5.2 0.21 0.31 1.7 0.048 17.0 61.0 0.98953 3.24 0.37 12.0 7 1 white 21 5.2 0.22 0.46 6.2 0.066 41.0 187.0 0.99362 3.19 0.42 9.73333333333333 5 0 white 22 5.2 0.31 0.2 2.4 0.027 27.0 117.0 0.98886 3.56 0.45 13.0 7 1 white 23 5.2 0.32 0.25 1.8 0.103 13.0 50.0 0.9957 3.38 0.55 9.2 5 0 red 24 5.2 0.34 0.37 6.2 0.031 42.0 133.0 0.99076 3.25 0.41 12.5 6 0 white 25 5.2 0.36 0.02 1.6 0.031 24.0 104.0 0.9896 3.44 0.35 12.2 6 0 white 26 5.2 0.365 0.08 13.5 0.041 37.0 142.0 0.997 3.46 0.39 9.9 6 0 white 27 5.2 0.48 0.04 1.6 0.054 19.0 106.0 0.9927 3.54 0.62 12.2 7 1 red 28 5.2 0.5 0.18 2.0 0.036 23.0 129.0 0.98949 3.36 0.77 13.4 7 1 white 29 5.3 0.16 0.39 1.0 0.028 40.0 101.0 0.99156 3.57 0.59 10.6 6 0 white 30 5.3 0.16 0.39 1.0 0.028 40.0 101.0 0.99156 3.57 0.59 10.6 6 0 white 31 5.3 0.165 0.24 1.1 0.051 25.0 105.0 0.9925 3.32 0.47 9.1 5 0 white 32 5.3 0.23 0.56 0.9 0.041 46.0 141.0 0.99119 3.16 0.62 9.7 5 0 white 33 5.3 0.3 0.3 1.2 0.029 25.0 93.0 0.98742 3.31 0.4 13.6 7 1 white 34 5.3 0.33 0.3 1.2 0.048 25.0 119.0 0.99045 3.32 0.62 11.3 6 0 white 35 5.3 0.36 0.27 6.3 0.028 40.0 132.0 0.99186 3.37 0.4 11.6 6 0 white 36 5.3 0.36 0.27 6.3 0.028 40.0 132.0 0.99186 3.37 0.4 11.6 6 0 white 37 5.3 0.4 0.25 3.9 0.031 45.0 130.0 0.99072 3.31 0.58 11.75 7 1 white 38 5.3 0.47 0.11 2.2 0.048 16.0 89.0 0.99182 3.54 0.88 13.6 7 1 red 39 5.3 0.47 0.11 2.2 0.048 16.0 89.0 0.99182 3.54 0.88 13.5666666666667 7 1 red 40 5.3 0.715 0.19 1.5 0.161 7.0 62.0 0.99395 3.62 0.61 11.0 5 0 red 41 5.4 0.22 0.29 1.2 0.045 69.0 152.0 0.99178 3.76 0.63 11.0 7 1 white 42 5.4 0.595 0.1 2.8 0.042 26.0 80.0 0.9932 3.36 0.38 9.3 5 0 white 43 5.4 0.74 0.09 1.7 0.089 16.0 26.0 0.99402 3.67 0.56 11.6 6 0 red 44 5.5 0.12 0.33 1.0 0.038 23.0 131.0 0.99164 3.25 0.45 9.8 5 0 white 45 5.5 0.12 0.33 1.0 0.038 23.0 131.0 0.99164 3.25 0.45 9.8 5 0 white 46 5.5 0.14 0.27 4.6 0.029 22.0 104.0 0.9949 3.34 0.44 9.0 5 0 white 47 5.5 0.14 0.27 4.6 0.029 22.0 104.0 0.9949 3.34 0.44 9.0 5 0 white 48 5.5 0.16 0.31 1.2 0.026 31.0 68.0 0.9898 3.33 0.44 11.65 6 0 white 49 5.5 0.16 0.31 1.2 0.026 31.0 68.0 0.9898 3.33 0.44 11.6333333333333 6 0 white 50 5.5 0.18 0.22 5.5 0.037 10.0 86.0 0.99156 3.46 0.44 12.2 5 0 white 51 5.5 0.24 0.45 1.7 0.046 22.0 113.0 0.99224 3.22 0.48 10.0 5 0 white 52 5.5 0.29 0.3 1.1 0.022 20.0 110.0 0.98869 3.34 0.38 12.8 7 1 white 53 5.5 0.31 0.29 3.0 0.027 16.0 102.0 0.99067 3.23 0.56 11.2 6 0 white 54 5.5 0.32 0.45 4.9 0.028 25.0 191.0 0.9922 3.51 0.49 11.5 7 1 white 55 5.5 0.35 0.35 1.1 0.045 14.0 167.0 0.992 3.34 0.68 9.9 6 0 white 56 5.5 0.375 0.38 1.7 0.036 17.0 98.0 0.99142 3.29 0.39 10.5 6 0 white 57 5.6 0.15 0.26 5.55 0.051 51.0 139.0 0.99336 3.47 0.5 11.0 6 0 white 58 5.6 0.15 0.31 5.3 0.038 8.0 79.0 0.9923 3.3 0.39 10.5 6 0 white 59 5.6 0.16 0.27 1.4 0.044 53.0 168.0 0.9918 3.28 0.37 10.1 6 0 white 60 5.6 0.175 0.29 0.8 0.043 20.0 67.0 0.99112 3.28 0.48 9.9 6 0 white 61 5.6 0.185 0.19 7.1 0.048 36.0 110.0 0.99438 3.26 0.41 9.5 6 0 white 62 5.6 0.185 0.19 7.1 0.048 36.0 110.0 0.99438 3.26 0.41 9.5 6 0 white 63 5.6 0.22 0.32 1.2 0.024 29.0 97.0 0.98823 3.2 0.46 13.05 7 1 white 64 5.6 0.26 0.18 1.4 0.034 18.0 135.0 0.99174 3.32 0.35 10.2 6 0 white 65 5.6 0.26 0.26 5.7 0.031 12.0 80.0 0.9923 3.25 0.38 10.8 5 0 white 66 5.6 0.26 0.5 11.4 0.029 25.0 93.0 0.99428 3.23 0.49 10.5 6 0 white 67 5.6 0.28 0.28 4.2 0.044 52.0 158.0 0.992 3.35 0.44 10.7 7 1 white 68 5.6 0.3 0.1 6.4 0.043 34.0 142.0 0.99382 3.14 0.48 9.8 5 0 white 69 5.6 0.35 0.14 5.0 0.046 48.0 198.0 0.9937 3.3 0.71 10.3 5 0 white 70 5.6 0.49 0.13 4.5 0.039 17.0 116.0 0.9907 3.42 0.9 13.7 7 1 white 71 5.6 0.49 0.13 4.5 0.039 17.0 116.0 0.9907 3.42 0.9 13.7 7 1 white 72 5.6 0.66 0.0 2.2 0.087 3.0 11.0 0.99378 3.71 0.63 12.8 7 1 red 73 5.6 0.66 0.0 2.2 0.087 3.0 11.0 0.99378 3.71 0.63 12.8 7 1 red 74 5.7 0.15 0.47 11.4 0.035 49.0 128.0 0.99456 3.03 0.34 10.5 8 1 white 75 5.7 0.18 0.26 2.2 0.023 21.0 95.0 0.9893 3.07 0.54 12.3 6 0 white 76 5.7 0.18 0.36 1.2 0.046 9.0 71.0 0.99199 3.7 0.68 10.9 7 1 white 77 5.7 0.2 0.3 2.5 0.046 38.0 125.0 0.99276 3.34 0.5 9.9 6 0 white 78 5.7 0.21 0.32 0.9 0.038 38.0 121.0 0.99074 3.24 0.46 10.6 6 0 white 79 5.7 0.21 0.37 4.5 0.04 58.0 140.0 0.99332 3.29 0.62 10.6 6 0 white 80 5.7 0.22 0.2 16.0 0.044 41.0 113.0 0.99862 3.22 0.46 8.9 6 0 white 81 5.7 0.22 0.2 16.0 0.044 41.0 113.0 0.99862 3.22 0.46 8.9 6 0 white 82 5.7 0.22 0.2 16.0 0.044 41.0 113.0 0.99862 3.22 0.46 8.9 6 0 white 83 5.7 0.22 0.2 16.0 0.044 41.0 113.0 0.99862 3.22 0.46 8.9 6 0 white 84 5.7 0.22 0.2 16.0 0.044 41.0 113.0 0.99862 3.22 0.46 8.9 6 0 white 85 5.7 0.22 0.29 3.5 0.04 27.0 146.0 0.98999 3.17 0.36 12.1 6 0 white 86 5.7 0.23 0.28 9.65 0.025 26.0 121.0 0.9925 3.28 0.38 11.3 6 0 white 87 5.7 0.25 0.26 12.5 0.049 52.5 106.0 0.99691 3.08 0.45 9.4 6 0 white 88 5.7 0.25 0.26 12.5 0.049 52.5 120.0 0.99691 3.08 0.45 9.4 6 0 white 89 5.7 0.25 0.27 11.5 0.04 24.0 120.0 0.99411 3.33 0.31 10.8 6 0 white 90 5.7 0.26 0.24 17.8 0.059 23.0 124.0 0.99773 3.3 0.5 10.1 5 0 white 91 5.7 0.26 0.24 17.8 0.059 23.0 124.0 0.99773 3.3 0.5 10.1 5 0 white 92 5.7 0.26 0.24 17.8 0.059 23.0 124.0 0.99773 3.3 0.5 10.1 5 0 white 93 5.7 0.27 0.32 1.2 0.046 20.0 155.0 0.9934 3.8 0.41 10.2 6 0 white 94 5.7 0.28 0.24 17.5 0.044 60.0 167.0 0.9989 3.31 0.44 9.4 5 0 white 95 5.7 0.32 0.18 1.4 0.029 26.0 104.0 0.9906 3.44 0.37 11.0 6 0 white 96 5.7 0.32 0.38 4.75 0.033 23.0 94.0 0.991 3.42 0.42 11.8 7 1 white 97 5.7 0.36 0.34 4.2 0.026 21.0 77.0 0.9907 3.41 0.45 11.9 6 0 white 98 5.8 0.14 0.15 6.1 0.042 27.0 123.0 0.99362 3.06 0.6 9.9 6 0 white 99 5.8 0.15 0.32 1.2 0.037 14.0 119.0 0.99137 3.19 0.5 10.2 6 0 white 100 5.8 0.17 0.34 1.8 0.045 96.0 170.0 0.99035 3.38 0.9 11.8 8 1 white Rows: 1-100 | Columns: 14Note
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 intotablesortemporary tables. This will help enhance the overall performance of the process.Balancing the Dataset¶
In VerticaPy, balancing a dataset to address class imbalances is made straightforward through the
balance()function within thepreprocessingmodule. This function enables users to rectify skewed class distributions efficiently. By specifying the target variable and setting parameters like the method for balancing, users can effortlessly achieve a more equitable representation of classes in their dataset. Whether opting for over-sampling, under-sampling, or a combination of both, VerticaPy’sbalance()function streamlines the process, empowering users to enhance the performance and fairness of their machine learning models trained on imbalanced data.To balance the dataset, use the following syntax.
from verticapy.machine_learning.vertica.preprocessing import balance balanced_train = balance( name = "my_schema.train_balanced", input_relation = train, y = "good", method = "hybrid", )
Note
With this code, a table named train_balanced is created in the my_schema schema. It can then be used to train the model. In the rest of the example, we will work with the full dataset.
Hint
Balancing the dataset is a crucial step in improving the accuracy of machine learning models, particularly when faced with imbalanced class distributions. By addressing disparities in the number of instances across different classes, the model becomes more adept at learning patterns from all classes rather than being biased towards the majority class. This, in turn, enhances the model’s ability to make accurate predictions for under-represented classes. The balanced dataset ensures that the model is not dominated by the majority class and, as a result, leads to more robust and unbiased model performance. Therefore, by employing techniques such as over-sampling, under-sampling, or a combination of both during dataset preparation, practitioners can significantly contribute to achieving higher accuracy and better generalization of their machine learning models.
Model Initialization¶
First we import the
DecisionTreeClassifiermodel:from verticapy.machine_learning.vertica import DecisionTreeClassifier
Then we can create the model:
model = DecisionTreeClassifier( max_features = "auto", max_leaf_nodes = 32, max_depth = 3, min_samples_leaf = 5, min_info_gain = 0.0, nbins = 32, )
Hint
In
verticapy1.0.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" ], "good", test, ) =========== call_string =========== SELECT rf_classifier('"public"."_verticapy_tmp_randomforestclassifier_v_mldb_566ab6b8979c11efa8720242ac120002_"', '"public"."_verticapy_tmp_view_v_mldb_569984ac979c11efa8720242ac120002_"', 'good', '"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|5194
Important
To train a model, you can directly use the
vDataFrameor the name of the relation stored in the database. The test set is optional and is only used to compute the test metrics. Inverticapy, we don’t work usingXmatrices andyvectors. 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 auc 0.7415734989648035 prc_auc 0.4117284620513243 accuracy 0.8066001534919417 log_loss 0.186166875398692 precision 0.5333333333333333 recall 0.03162055335968379 f1_score 0.059701492537313425 mcc 0.09253148836995512 informedness 0.024953886693017013 markedness 0.34311594202898554 csi 0.03076923076923077 Rows: 1-11 | Columns: 2Important
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 = ["auc", "accuracy"]).For classification models, we can easily modify the
cutoffto observe the effect on different metrics:model.report(cutoff = 0.2)
value auc 0.7415734989648035 prc_auc 0.4117284620513243 accuracy 0.6999232540291634 log_loss 0.186166875398692 precision 0.35802469135802467 recall 0.6877470355731226 f1_score 0.4709066305818673 mcc 0.3194939450828974 informedness 0.3906041784302654 markedness 0.2613294649198361 csi 0.30796460176991153 Rows: 1-11 | Columns: 2You can also use the
score()function to compute any classification metric. The default metric is the accuracy:model.score() Out[3]: 0.8066001534919417
Prediction¶
Prediction is straight-forward:
model.predict( test, [ "fixed_acidity", "volatile_acidity", "citric_acid", "residual_sugar", "chlorides", "density" ], "prediction", )
123fixed_acidity123volatile_acidity123citric_acid123residual_sugar123chlorides123free_sulfur_dioxide123total_sulfur_dioxide123density123pH123sulphates123alcohol123quality123goodAbccolorAbcprediction1 4.7 0.6 0.17 2.3 0.058 17.0 106.0 0.9932 3.85 0.6 12.9 6 0 red 0 2 5.0 0.27 0.32 4.5 0.032 58.0 178.0 0.98956 3.45 0.31 12.6 7 1 white 0 3 5.0 0.29 0.54 5.7 0.035 54.0 155.0 0.98976 3.27 0.34 12.9 8 1 white 0 4 5.0 0.61 0.12 1.3 0.009 65.0 100.0 0.9874 3.26 0.37 13.5 5 0 white 0 5 5.1 0.21 0.28 1.4 0.047 48.0 148.0 0.99168 3.5 0.49 10.4 5 0 white 0 6 5.1 0.35 0.26 6.8 0.034 36.0 120.0 0.99188 3.38 0.4 11.5 6 0 white 0 7 5.1 0.47 0.02 1.3 0.034 18.0 44.0 0.9921 3.9 0.62 12.8 6 0 red 0 8 5.2 0.6 0.07 7.0 0.044 33.0 147.0 0.9944 3.33 0.58 9.7 5 0 white 0 9 5.2 0.645 0.0 2.15 0.08 15.0 28.0 0.99444 3.78 0.61 12.5 6 0 red 0 10 5.3 0.24 0.33 1.3 0.033 25.0 97.0 0.9906 3.59 0.38 11.0 8 1 white 0 11 5.4 0.255 0.33 1.2 0.051 29.0 122.0 0.99048 3.37 0.66 11.3 6 0 white 0 12 5.5 0.24 0.32 8.7 0.06 19.0 102.0 0.994 3.27 0.31 10.4 5 0 white 0 13 5.6 0.18 0.31 1.5 0.038 16.0 84.0 0.9924 3.34 0.58 10.1 6 0 white 0 14 5.6 0.225 0.24 9.8 0.054 59.0 140.0 0.99545 3.17 0.39 10.2 6 0 white 0 15 5.6 0.28 0.27 3.9 0.043 52.0 158.0 0.99202 3.35 0.44 10.7 7 1 white 0 16 5.6 0.31 0.37 1.4 0.074 12.0 96.0 0.9954 3.32 0.58 9.2 5 0 red 0 17 5.6 0.695 0.06 6.8 0.042 9.0 84.0 0.99432 3.44 0.44 10.2 5 0 white 0 18 5.7 0.22 0.22 16.65 0.044 39.0 110.0 0.99855 3.24 0.48 9.0 6 0 white 0 19 5.7 0.31 0.29 7.3 0.05 33.0 143.0 0.99332 3.31 0.5 11.0666666666667 6 0 white 0 20 5.7 0.32 0.5 2.6 0.049 17.0 155.0 0.9927 3.22 0.64 10.0 6 0 white 0 21 5.7 0.33 0.15 1.9 0.05 20.0 93.0 0.9934 3.38 0.62 9.9 5 0 white 0 22 5.7 0.45 0.42 1.1 0.051 61.0 197.0 0.9932 3.02 0.4 9.0 5 0 white 0 23 5.8 0.2 0.24 1.4 0.033 65.0 169.0 0.99043 3.59 0.56 12.3 7 1 white 0 24 5.8 0.28 0.27 2.6 0.054 30.0 156.0 0.9914 3.53 0.42 12.4 5 0 white 0 25 5.8 0.3 0.12 1.6 0.036 57.0 163.0 0.99239 3.38 0.59 10.5 6 0 white 0 26 5.8 0.36 0.5 1.0 0.127 63.0 178.0 0.99212 3.1 0.45 9.7 5 0 white 0 27 5.9 0.17 0.28 0.7 0.027 5.0 28.0 0.98985 3.13 0.32 10.6 5 0 white 0 28 5.9 0.17 0.29 3.1 0.03 32.0 123.0 0.98913 3.41 0.33 13.7 7 1 white 0 29 5.9 0.23 0.28 8.6 0.046 37.0 142.0 0.99432 3.23 0.53 10.6 6 0 white 0 30 5.9 0.24 0.3 2.0 0.033 28.0 92.0 0.99225 3.39 0.69 10.9 7 1 white 0 31 5.9 0.24 0.3 2.0 0.033 28.0 92.0 0.99225 3.39 0.69 10.9 7 1 white 0 32 5.9 0.25 0.27 1.5 0.029 37.0 81.0 0.9892 3.2 0.46 12.2 6 0 white 0 33 5.9 0.415 0.13 1.4 0.04 11.0 64.0 0.9922 3.29 0.52 10.5 5 0 white 0 34 6.0 0.26 0.15 1.2 0.053 35.0 124.0 0.99347 3.08 0.46 8.8 5 0 white 0 35 6.0 0.26 0.18 7.0 0.055 50.0 194.0 0.99591 3.21 0.43 9.0 5 0 white 0 36 6.0 0.28 0.27 4.1 0.046 50.0 147.0 0.99126 3.27 0.56 11.6 6 0 white 0 37 6.0 0.28 0.52 6.2 0.028 37.0 104.0 0.99161 3.28 0.51 11.8 7 1 white 0 38 6.0 0.34 0.66 15.9 0.046 26.0 164.0 0.9979 3.14 0.5 8.8 6 0 white 0 39 6.0 0.38 0.26 6.0 0.034 42.0 134.0 0.9912 3.38 0.38 12.3 7 1 white 0 40 6.0 0.42 0.41 12.4 0.032 50.0 179.0 0.99622 3.14 0.6 9.7 5 0 white 0 41 6.0 0.49 0.0 2.3 0.068 15.0 33.0 0.99292 3.58 0.59 12.5 6 0 red 0 42 6.1 0.16 0.27 12.6 0.064 63.0 162.0 0.9994 3.66 0.43 8.9 5 0 white 0 43 6.1 0.22 0.38 2.8 0.144 12.0 65.0 0.9908 2.95 0.64 11.4 6 0 white 0 44 6.1 0.26 0.51 2.2 0.05 61.0 154.0 0.9929 3.08 0.6 9.8 6 0 white 0 45 6.1 0.28 0.24 19.95 0.074 32.0 174.0 0.99922 3.19 0.44 9.3 6 0 white 0 46 6.1 0.34 0.46 4.7 0.029 21.0 94.0 0.991 3.29 0.62 12.3 6 0 white 0 47 6.1 0.4 0.16 1.8 0.069 11.0 25.0 0.9955 3.42 0.74 10.1 7 1 red 0 48 6.2 0.16 0.33 1.1 0.057 21.0 82.0 0.991 3.32 0.46 10.9 7 1 white 0 49 6.2 0.19 0.38 5.1 0.019 22.0 82.0 0.98961 3.05 0.36 12.5 6 0 white 0 50 6.2 0.2 0.25 15.0 0.055 8.0 120.0 0.99767 3.19 0.53 9.6 6 0 white 0 51 6.2 0.2 0.28 1.1 0.039 24.0 78.0 0.9899 3.36 0.47 12.1 6 0 white 0 52 6.2 0.2 0.33 5.4 0.028 21.0 75.0 0.99012 3.36 0.41 13.5 7 1 white 0 53 6.2 0.22 0.28 2.2 0.04 24.0 125.0 0.9917 3.19 0.48 10.5 6 0 white 0 54 6.2 0.22 0.28 2.2 0.04 24.0 125.0 0.9917 3.19 0.48 10.5 6 0 white 0 55 6.2 0.25 0.44 15.8 0.057 39.0 167.0 0.99804 3.14 0.51 9.2 5 0 white 0 56 6.2 0.29 0.29 5.6 0.046 35.0 178.0 0.99313 3.25 0.51 10.5333333333333 5 0 white 0 57 6.2 0.3 0.21 1.1 0.032 31.0 111.0 0.9889 2.97 0.42 12.2 6 0 white 0 58 6.2 0.3 0.31 1.2 0.048 19.0 125.0 0.98999 3.32 0.54 12.6 6 0 white 0 59 6.2 0.3 0.32 1.7 0.032 30.0 130.0 0.9911 3.28 0.41 11.2 7 1 white 0 60 6.2 0.31 0.26 4.8 0.037 36.0 148.0 0.9928 3.21 0.41 10.4 6 0 white 0 61 6.2 0.32 0.5 6.5 0.048 61.0 186.0 0.9948 3.19 0.45 9.6 5 0 white 0 62 6.2 0.36 0.22 5.25 0.038 44.0 145.0 0.99184 3.22 0.4 11.2 6 0 white 0 63 6.2 0.37 0.24 6.1 0.032 19.0 86.0 0.98934 3.04 0.26 13.4 8 1 white 1 64 6.2 0.53 0.02 0.9 0.035 6.0 81.0 0.99234 3.24 0.35 9.5 4 0 white 0 65 6.2 0.56 0.09 1.7 0.053 24.0 32.0 0.99402 3.54 0.6 11.3 5 0 red 0 66 6.2 0.63 0.31 1.7 0.088 15.0 64.0 0.9969 3.46 0.79 9.3 5 0 red 0 67 6.3 0.2 0.26 1.6 0.027 36.0 141.0 0.99268 3.53 0.56 10.8 6 0 white 0 68 6.3 0.22 0.3 2.0 0.05 23.0 120.0 0.99204 3.24 0.47 10.4 6 0 white 0 69 6.3 0.22 0.33 1.7 0.041 67.0 164.0 0.9928 3.32 0.56 10.4 6 0 white 0 70 6.3 0.23 0.49 7.1 0.05 67.0 210.0 0.9951 3.23 0.34 9.5 5 0 white 0 71 6.3 0.25 0.23 14.9 0.039 47.0 142.0 0.99705 3.14 0.35 9.7 6 0 white 0 72 6.3 0.27 0.18 7.7 0.048 45.0 186.0 0.9962 3.23 0.47 9.0 5 0 white 0 73 6.3 0.27 0.46 11.75 0.037 61.0 212.0 0.9971 3.25 0.53 9.5 6 0 white 0 74 6.3 0.28 0.29 6.8 0.051 40.0 143.0 0.99374 3.43 0.59 11.0 6 0 white 0 75 6.3 0.29 0.28 4.7 0.059 28.0 81.0 0.99036 3.24 0.56 12.7 8 1 white 0 76 6.3 0.32 0.35 11.1 0.039 29.0 198.0 0.9984 3.36 0.5 9.4 7 1 white 0 77 6.3 0.41 0.18 3.5 0.027 23.0 109.0 0.99018 3.34 0.54 12.8 8 1 white 1 78 6.3 0.41 0.3 3.2 0.03 49.0 164.0 0.9927 3.53 0.79 11.7 7 1 white 0 79 6.3 0.48 0.04 1.1 0.046 30.0 99.0 0.9928 3.24 0.36 9.6 6 0 white 0 80 6.4 0.14 0.31 1.2 0.034 53.0 138.0 0.99084 3.38 0.35 11.5 7 1 white 0 81 6.4 0.22 0.31 13.9 0.04 57.0 135.0 0.99672 3.21 0.38 10.7 5 0 white 0 82 6.4 0.25 0.32 0.9 0.034 40.0 114.0 0.99114 3.31 0.58 10.8 7 1 white 0 83 6.4 0.27 0.29 10.8 0.028 17.0 118.0 0.99356 3.18 0.37 11.2 6 0 white 0 84 6.4 0.27 0.32 4.5 0.24 61.0 174.0 0.9948 3.12 0.48 9.4 5 0 white 0 85 6.4 0.31 0.28 1.5 0.037 12.0 119.0 0.9919 3.32 0.51 10.4 7 1 white 0 86 6.4 0.41 0.01 6.1 0.048 20.0 70.0 0.99362 3.19 0.42 10.0 5 0 white 0 87 6.5 0.18 0.48 18.0 0.054 56.0 183.0 1.00038 2.98 0.61 8.5 6 0 white 0 88 6.5 0.21 0.35 5.7 0.043 47.0 197.0 0.99392 3.24 0.5 10.1 6 0 white 0 89 6.5 0.22 0.29 7.4 0.028 16.0 87.0 0.99311 3.15 0.56 10.9 7 1 white 0 90 6.5 0.23 0.36 16.3 0.038 43.0 133.0 0.99924 3.26 0.41 8.8 5 0 white 0 91 6.5 0.23 0.36 16.3 0.038 43.0 133.0 0.99924 3.26 0.41 8.8 5 0 white 0 92 6.5 0.24 0.39 17.3 0.052 22.0 126.0 0.99888 3.11 0.47 9.2 6 0 white 0 93 6.5 0.25 0.32 9.9 0.045 41.0 128.0 0.99636 3.18 0.52 9.6 6 0 white 0 94 6.5 0.28 0.28 8.5 0.047 54.0 210.0 0.9962 3.09 0.54 8.9 4 0 white 0 95 6.5 0.32 0.23 1.2 0.054 39.0 208.0 0.99272 3.18 0.46 9.9 6 0 white 0 96 6.5 0.36 0.38 10.2 0.028 20.0 82.0 0.99274 3.1 0.43 12.1 7 1 white 0 97 6.5 0.4 0.31 3.5 0.046 22.0 147.0 0.99024 3.15 0.31 12.0 7 1 white 0 98 6.5 0.52 0.11 1.8 0.073 13.0 38.0 0.9955 3.34 0.52 9.3 5 0 red 0 99 6.5 0.52 0.17 1.4 0.047 5.0 26.0 0.9932 3.26 0.32 10.0 4 0 white 0 100 6.6 0.21 0.29 1.8 0.026 35.0 128.0 0.99183 3.37 0.48 11.2 6 0 white 0 Rows: 1-100 | Columns: 15Note
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
vDataFrameto thepredict()function, but in this case, it’s essential that the column names of thevDataFramematch the predictors and response name in the model.Probabilities¶
It is also easy to get the model’s probabilities:
model.predict_proba( test, [ "fixed_acidity", "volatile_acidity", "citric_acid", "residual_sugar", "chlorides", "density" ], "prediction", )
123fixed_acidity123volatile_acidity123citric_acid123residual_sugar123chlorides123free_sulfur_dioxide123total_sulfur_dioxide123density123pH123sulphates123alcohol123quality123goodAbccolorAbcpredictionAbcprediction_0Abcprediction_11 4.2 0.215 0.23 5.1 0.041 64.0 157.0 0.99688 3.42 0.44 8.0 3 0 white 0 0.944664 0.055336 2 4.6 0.445 0.0 1.4 0.053 11.0 178.0 0.99426 3.79 0.55 10.2 5 0 white 0 0.944664 0.055336 3 4.8 0.13 0.32 1.2 0.042 40.0 98.0 0.9898 3.42 0.64 11.8 7 1 white 0 0.566946 0.433054 4 4.9 0.335 0.14 1.3 0.036 69.0 168.0 0.99212 3.47 0.46 10.4666666666667 5 0 white 0 0.944664 0.055336 5 5.0 0.74 0.0 1.2 0.041 16.0 46.0 0.99258 4.01 0.59 12.5 6 0 red 0 0.944664 0.055336 6 5.1 0.42 0.01 1.5 0.017 25.0 102.0 0.9894 3.38 0.36 12.3 7 1 white 0 0.744681 0.255319 7 5.2 0.3 0.34 1.5 0.038 18.0 96.0 0.98942 3.56 0.48 13.0 8 1 white 0 0.566946 0.433054 8 5.2 0.38 0.26 7.7 0.053 20.0 103.0 0.9925 3.27 0.45 12.2 6 0 white 0 0.863131 0.136869 9 5.4 0.22 0.35 6.5 0.029 26.0 87.0 0.99092 3.29 0.44 12.5 7 1 white 0 0.566946 0.433054 10 5.6 0.13 0.27 4.8 0.028 22.0 104.0 0.9948 3.34 0.45 9.2 6 0 white 0 0.747664 0.252336 11 5.6 0.24 0.34 2.0 0.041 14.0 73.0 0.98981 3.04 0.45 11.6 7 1 white 0 0.566946 0.433054 12 5.6 0.32 0.33 7.4 0.037 25.0 95.0 0.99268 3.25 0.49 11.1 6 0 white 0 0.863131 0.136869 13 5.6 0.35 0.4 6.3 0.022 23.0 174.0 0.9922 3.54 0.5 11.6 7 1 white 0 0.863131 0.136869 14 5.6 0.54 0.04 1.7 0.049 5.0 13.0 0.9942 3.72 0.58 11.4 5 0 red 0 0.944664 0.055336 15 5.7 0.12 0.26 5.5 0.034 21.0 99.0 0.99324 3.09 0.57 9.9 6 0 white 0 0.747664 0.252336 16 5.7 0.26 0.25 10.4 0.02 7.0 57.0 0.994 3.39 0.37 10.6 5 0 white 0 0.783784 0.216216 17 5.7 0.265 0.28 6.9 0.036 46.0 150.0 0.99299 3.36 0.44 10.8 7 1 white 0 0.863131 0.136869 18 5.7 0.31 0.28 4.1 0.03 22.0 86.0 0.99062 3.31 0.38 11.7 7 1 white 0 0.566946 0.433054 19 5.7 0.4 0.35 5.1 0.026 17.0 113.0 0.99052 3.18 0.67 12.4 6 0 white 0 0.566946 0.433054 20 5.8 0.12 0.21 1.3 0.056 35.0 121.0 0.9908 3.32 0.33 11.4 6 0 white 0 0.744681 0.255319 21 5.8 0.13 0.22 12.7 0.058 24.0 183.0 0.9956 3.32 0.42 11.7 6 0 white 0 0.944664 0.055336 22 5.8 0.15 0.49 1.1 0.048 21.0 98.0 0.9929 3.19 0.48 9.2 5 0 white 0 0.747664 0.252336 23 5.8 0.23 0.2 2.0 0.043 39.0 154.0 0.99226 3.21 0.39 10.2 6 0 white 0 0.944664 0.055336 24 5.8 0.24 0.26 10.05 0.039 63.0 162.0 0.99375 3.33 0.5 11.2 6 0 white 0 0.863131 0.136869 25 5.8 0.27 0.2 14.95 0.044 22.0 179.0 0.9962 3.37 0.37 10.2 5 0 white 0 0.944664 0.055336 26 5.8 0.27 0.4 1.2 0.076 47.0 130.0 0.99185 3.13 0.45 10.3 6 0 white 0 0.883333 0.116667 27 5.8 0.28 0.35 2.3 0.053 36.0 114.0 0.9924 3.28 0.5 10.2 4 0 white 0 0.863131 0.136869 28 5.9 0.27 0.32 2.0 0.034 31.0 102.0 0.98952 3.16 0.56 12.3 6 0 white 0 0.566946 0.433054 29 5.9 0.28 0.39 1.4 0.031 47.0 147.0 0.98836 3.08 0.64 12.9 7 1 white 0 0.566946 0.433054 30 5.9 0.29 0.16 7.9 0.044 48.0 197.0 0.99512 3.21 0.36 9.4 5 0 white 0 0.944664 0.055336 31 5.9 0.32 0.2 14.4 0.05 29.0 144.0 0.99666 3.24 0.41 10.3 6 0 white 0 0.944664 0.055336 32 5.9 0.32 0.39 3.3 0.114 24.0 140.0 0.9934 3.09 0.45 9.2 6 0 white 0 0.863131 0.136869 33 6.0 0.17 0.36 1.7 0.042 14.0 61.0 0.99144 3.22 0.54 10.8 6 0 white 0 0.566946 0.433054 34 6.0 0.19 0.37 9.7 0.032 17.0 50.0 0.9932 3.08 0.66 12.0 6 0 white 0 0.747664 0.252336 35 6.0 0.22 0.28 1.1 0.034 47.0 90.0 0.98862 3.22 0.38 12.6 6 0 white 0 0.566946 0.433054 36 6.0 0.23 0.34 1.3 0.025 23.0 111.0 0.98961 3.36 0.37 12.7 6 0 white 0 0.566946 0.433054 37 6.0 0.27 0.27 1.6 0.046 32.0 113.0 0.9924 3.41 0.51 10.5 7 1 white 0 0.863131 0.136869 38 6.0 0.29 0.25 1.4 0.033 30.0 114.0 0.98794 3.08 0.43 13.2 6 0 white 0 0.744681 0.255319 39 6.0 0.29 0.27 2.3 0.044 20.0 117.0 0.9895 3.31 0.41 12.7 7 1 white 0 0.566946 0.433054 40 6.0 0.29 0.41 10.8 0.048 55.0 149.0 0.9937 3.09 0.59 10.9666666666667 7 1 white 0 0.863131 0.136869 41 6.0 0.29 0.41 10.8 0.048 55.0 149.0 0.9937 3.09 0.59 10.9666666666667 7 1 white 0 0.863131 0.136869 42 6.0 0.31 0.32 7.4 0.175 47.0 159.0 0.9952 3.19 0.5 9.4 6 0 white 0 0.863131 0.136869 43 6.0 0.31 0.47 3.6 0.067 18.0 42.0 0.99549 3.39 0.66 11.0 6 0 red 0 0.863131 0.136869 44 6.0 0.33 0.32 12.9 0.054 6.0 113.0 0.99572 3.3 0.56 11.5 4 0 red 0 0.863131 0.136869 45 6.0 0.35 0.46 0.9 0.033 9.0 65.0 0.98934 3.24 0.35 12.1 4 0 white 0 0.566946 0.433054 46 6.0 0.5 0.0 1.4 0.057 15.0 26.0 0.99448 3.36 0.45 9.5 5 0 red 0 0.944664 0.055336 47 6.0 0.64 0.05 1.9 0.066 9.0 17.0 0.99496 3.52 0.78 10.6 5 0 red 0 0.944664 0.055336 48 6.1 0.16 0.34 6.1 0.034 31.0 114.0 0.99365 3.32 0.58 10.1333333333333 7 1 white 0 0.747664 0.252336 49 6.1 0.2 0.17 1.6 0.048 46.0 129.0 0.991 3.3 0.43 11.4 6 0 white 1 0.47 0.53 50 6.1 0.25 0.48 15.8 0.052 25.0 94.0 0.99782 3.07 0.45 9.2 6 0 white 0 0.863131 0.136869 51 6.1 0.27 0.44 6.7 0.041 61.0 230.0 0.99505 3.12 0.4 8.9 5 0 white 0 0.863131 0.136869 52 6.1 0.31 0.34 2.8 0.042 59.5 162.0 0.99179 3.27 0.47 10.8 6 0 white 0 0.566946 0.433054 53 6.1 0.32 0.25 2.3 0.071 23.0 58.0 0.99633 3.42 0.97 10.6 5 0 red 0 0.944664 0.055336 54 6.1 0.32 0.33 10.7 0.036 27.0 98.0 0.99521 3.34 0.52 10.2 6 0 white 0 0.863131 0.136869 55 6.2 0.18 0.49 4.5 0.047 17.0 90.0 0.9919 3.27 0.37 11.6 6 0 white 0 0.566946 0.433054 56 6.2 0.2 0.26 1.1 0.047 42.0 119.0 0.99158 3.48 0.6 11.0 7 1 white 0 0.566946 0.433054 57 6.2 0.25 0.31 3.2 0.03 32.0 150.0 0.99014 3.18 0.31 12.0 6 0 white 0 0.566946 0.433054 58 6.2 0.25 0.54 7.0 0.046 58.0 176.0 0.99454 3.19 0.7 10.4 5 0 white 0 0.863131 0.136869 59 6.2 0.45 0.73 7.2 0.099 47.0 202.0 0.99582 3.21 0.43 9.2 5 0 white 0 0.863131 0.136869 60 6.2 0.47 0.21 1.0 0.044 13.0 98.0 0.99345 3.14 0.46 9.2 5 0 white 0 0.944664 0.055336 61 6.2 0.55 0.45 12.0 0.049 27.0 186.0 0.9974 3.17 0.5 9.3 6 0 white 0 0.863131 0.136869 62 6.3 0.19 0.29 2.0 0.022 33.0 96.0 0.98902 3.04 0.54 12.8 7 1 white 0 0.566946 0.433054 63 6.3 0.19 0.33 10.1 0.063 63.0 133.0 0.99561 2.86 0.41 9.1 5 0 white 0 0.747664 0.252336 64 6.3 0.2 0.26 4.7 0.04 108.0 168.0 0.99278 3.07 0.75 10.7 7 1 white 0 0.747664 0.252336 65 6.3 0.21 0.58 10.0 0.081 34.0 126.0 0.9962 2.95 0.46 8.9 5 0 white 0 0.747664 0.252336 66 6.3 0.24 0.29 13.7 0.035 53.0 134.0 0.99567 3.17 0.38 10.6 6 0 white 0 0.863131 0.136869 67 6.3 0.24 0.35 2.3 0.039 43.0 109.0 0.99056 3.34 0.44 11.8 6 0 white 0 0.566946 0.433054 68 6.3 0.25 0.22 3.3 0.048 41.0 161.0 0.99256 3.16 0.5 10.5 6 0 white 0 0.944664 0.055336 69 6.3 0.27 0.38 0.9 0.051 7.0 140.0 0.9926 3.45 0.5 10.5 7 1 white 0 0.863131 0.136869 70 6.3 0.27 0.51 7.6 0.049 35.0 200.0 0.99548 3.16 0.54 9.4 4 0 white 0 0.863131 0.136869 71 6.3 0.27 0.51 7.6 0.049 35.0 200.0 0.99548 3.16 0.54 9.4 4 0 white 0 0.863131 0.136869 72 6.3 0.3 0.48 7.4 0.053 34.0 149.0 0.99472 3.18 0.53 9.8 5 0 white 0 0.863131 0.136869 73 6.3 0.32 0.17 17.75 0.06 51.0 190.0 0.99916 3.13 0.48 8.8 6 0 white 0 0.944664 0.055336 74 6.3 0.32 0.32 1.5 0.03 24.0 101.0 0.98923 3.21 0.42 13.0 5 0 white 0 0.566946 0.433054 75 6.3 0.34 0.33 4.6 0.034 19.0 80.0 0.9917 3.38 0.58 12.0 7 1 white 0 0.566946 0.433054 76 6.3 0.4 0.24 5.1 0.036 43.0 131.0 0.99186 3.24 0.44 11.3 6 0 white 0 0.944664 0.055336 77 6.3 0.6 0.44 11.0 0.05 50.0 245.0 0.9972 3.19 0.57 9.3 4 0 white 0 0.863131 0.136869 78 6.4 0.105 0.29 1.1 0.035 44.0 140.0 0.99142 3.17 0.55 10.7 7 1 white 0 0.566946 0.433054 79 6.4 0.125 0.29 5.85 0.042 24.0 99.0 0.992 3.23 0.32 12.0 7 1 white 0 0.566946 0.433054 80 6.4 0.17 0.32 2.4 0.048 41.0 200.0 0.9938 3.5 0.5 9.7 6 0 white 0 0.747664 0.252336 81 6.4 0.23 0.27 2.1 0.042 35.0 100.0 0.99094 3.03 0.63 10.9 6 0 white 0 0.566946 0.433054 82 6.4 0.24 0.26 8.2 0.054 47.0 182.0 0.99538 3.12 0.5 9.5 5 0 white 0 0.863131 0.136869 83 6.4 0.24 0.49 5.8 0.053 25.0 120.0 0.9942 3.01 0.98 10.5 6 0 white 0 0.863131 0.136869 84 6.4 0.24 0.49 5.8 0.053 25.0 120.0 0.9942 3.01 0.98 10.5 6 0 white 0 0.863131 0.136869 85 6.4 0.25 0.32 11.3 0.038 69.0 192.0 0.99573 3.14 0.5 10.2 6 0 white 0 0.863131 0.136869 86 6.4 0.27 0.49 7.3 0.046 53.0 206.0 0.9956 3.24 0.43 9.2 6 0 white 0 0.863131 0.136869 87 6.4 0.29 0.18 15.0 0.04 21.0 116.0 0.99736 3.14 0.5 9.2 5 0 white 0 0.944664 0.055336 88 6.4 0.33 0.44 8.9 0.055 52.0 164.0 0.99488 3.1 0.48 9.6 5 0 white 0 0.863131 0.136869 89 6.4 0.38 0.24 7.2 0.047 41.0 151.0 0.99604 3.11 0.6 9.2 5 0 white 0 0.944664 0.055336 90 6.4 0.38 0.24 7.2 0.047 41.0 151.0 0.99604 3.11 0.6 9.2 5 0 white 0 0.944664 0.055336 91 6.4 0.5 0.2 2.4 0.059 19.0 112.0 0.99314 3.18 0.4 9.2 6 0 white 0 0.944664 0.055336 92 6.5 0.16 0.33 4.8 0.043 45.0 114.0 0.992 3.18 0.44 11.2 6 0 white 0 0.566946 0.433054 93 6.5 0.18 0.34 1.6 0.04 43.0 148.0 0.9912 3.32 0.59 11.5 8 1 white 0 0.566946 0.433054 94 6.5 0.22 0.32 2.2 0.028 36.0 92.0 0.99076 3.27 0.59 11.9 7 1 white 0 0.566946 0.433054 95 6.5 0.23 0.2 7.5 0.05 44.0 179.0 0.99504 3.18 0.48 9.53333333333333 5 0 white 0 0.944664 0.055336 96 6.5 0.24 0.38 1.0 0.027 31.0 90.0 0.98926 3.24 0.36 12.3 6 0 white 0 0.566946 0.433054 97 6.5 0.28 0.34 4.6 0.054 22.0 130.0 0.99193 3.2 0.46 12.0 7 1 white 0 0.883333 0.116667 98 6.5 0.34 0.28 1.8 0.041 43.0 188.0 0.9928 3.13 0.37 9.6 6 0 white 0 0.863131 0.136869 99 6.5 0.35 0.28 12.4 0.051 86.0 213.0 0.9962 3.16 0.51 9.9 6 0 white 0 0.863131 0.136869 100 6.5 0.37 0.33 3.5 0.036 23.0 92.0 0.99136 3.18 0.38 11.2 6 0 white 0 0.566946 0.433054 Rows: 1-100 | Columns: 17Note
Probabilities are added to the
vDataFrame, and VerticaPy uses the corresponding probability function in SQL behind the scenes. You can use thepos_labelparameter to add only the probability of the selected category.Confusion Matrix¶
You can obtain the confusion matrix of your choice by specifying the desired cutoff.
model.confusion_matrix(cutoff = 0.5) Out[4]: array([[1043, 7], [ 245, 8]])
Note
In classification, the
cutoffis a threshold value used to determine class assignment based on predicted probabilities or scores from a classification model. In binary classification, if the predicted probability for a specific class is greater than or equal to the cutoff, the instance is assigned to the positive class; otherwise, it is assigned to the negative class. Adjusting the cutoff allows for trade-offs between true positives and false positives, enabling the model to be optimized for specific objectives or to consider the relative costs of different classification errors. The choice of cutoff is critical for tailoring the model’s performance to meet specific needs.Main Plots (Classification Curves)¶
Classification models allow for the creation of various plots that are very helpful in understanding the model, such as the ROC Curve, PRC Curve, Cutoff Curve, Gain Curve, and more.
Most of the classification curves can be found in the Machine Learning - Classification Curve.
For example, let’s draw the model’s ROC curve.
model.roc_curve()
Important
Most of the curves have a parameter called
nbins, which is essential for estimating metrics. The larger thenbins, the more precise the estimation, but it can significantly impact performance. Exercise caution when increasing this parameter excessively.Hint
In binary classification, various curves can be easily plotted. However, in multi-class classification, it’s important to select the
pos_label, representing the class to be treated as positive when drawing the curve.Other Plots¶
Tree models can be visualized by drawing their tree plots. For more examples, check out Machine Learning - Tree Plots.
model.plot_tree()
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="\\"citric_acid\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n0 -> 1 [label="<= 0.259375", color="#000000", fontcolor="#000000"]\n0 -> 2 [label="> 0.259375", color="#000000", fontcolor="#000000"]\n1 [label="\\"density\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n1 -> 3 [label="<= 0.991474", color="#000000", fontcolor="#000000"]\n1 -> 4 [label="> 0.991474", color="#000000", fontcolor="#000000"]\n2 [label="\\"density\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n2 -> 5 [label="<= 0.992198", color="#000000", fontcolor="#000000"]\n2 -> 6 [label="> 0.992198", color="#000000", fontcolor="#000000"]\n3 [label="\\"residual_sugar\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n3 -> 7 [label="<= 1.56875", color="#000000", fontcolor="#000000"]\n3 -> 8 [label="> 1.56875", color="#000000", fontcolor="#000000"]\n4 [label="\\"chlorides\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n4 -> 9 [label="<= 0.031688", color="#000000", fontcolor="#000000"]\n4 -> 10 [label="> 0.031688", color="#000000", fontcolor="#000000"]\n5 [label="\\"chlorides\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n5 -> 11 [label="<= 0.050375", color="#000000", fontcolor="#000000"]\n5 -> 12 [label="> 0.050375", color="#000000", fontcolor="#000000"]\n6 [label="\\"volatile_acidity\\"", shape="box", style="filled", fillcolor="#FFFFFFDD", fontcolor="#000000", color="#000000"]\n6 -> 13 [label="<= 0.220625", color="#000000", fontcolor="#000000"]\n6 -> 14 [label="> 0.220625", color="#000000", fontcolor="#000000"]\n7 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#87cefa" color="#000000"><FONT color="#000000"><b>prediction: 0 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.74</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.26</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="#efc5b5" color="#000000"><FONT color="#000000"><b>prediction: 1 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.47</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.53</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="#87cefa" color="#000000"><FONT color="#000000"><b>prediction: 0 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.78</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.22</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="#87cefa" color="#000000"><FONT color="#000000"><b>prediction: 0 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.94</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.06</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="#87cefa" color="#000000"><FONT color="#000000"><b>prediction: 0 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.57</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.43</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="#87cefa" color="#000000"><FONT color="#000000"><b>prediction: 0 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.88</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.12</FONT></td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n13 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#87cefa" color="#000000"><FONT color="#000000"><b>prediction: 0 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.75</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.25</FONT></td></tr></table>>, fillcolor="#FFFFFFDD", fontcolor="#000000", shape="none", color="#000000"]\n14 [label=<<table border="0" cellspacing="0"> <tr><td port="port1" border="1" bgcolor="#87cefa" color="#000000"><FONT color="#000000"><b>prediction: 0 </b></FONT></td></tr><tr><td port="port0" border="1" align="left" color="#000000"><FONT color="#000000">prob(0): 0.86</FONT></td></tr><tr><td port="port1" border="1" align="left" color="#000000"><FONT color="#000000">prob(1): 0.14</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 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.
Parameter Modification¶
In order to see the parameters:
model.get_params() Out[6]: {'max_features': 'auto', 'max_leaf_nodes': 32, 'max_depth': 3, 'min_samples_leaf': 5, 'min_info_gain': 0.0, 'nbins': 32}
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
MemModelobjects 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 ascikit-learnmodel.The following methods for exporting the model use
MemModel, and it is recommended to useMemModeldirectly.To SQL
You can get the SQL code by:
model.to_sql() Out[8]: '(CASE WHEN "citric_acid" < 0.259375 THEN (CASE WHEN "density" < 0.991474 THEN (CASE WHEN "residual_sugar" < 1.56875 THEN 0 ELSE 1 END) ELSE (CASE WHEN "chlorides" < 0.031688 THEN 0 ELSE 0 END) END) ELSE (CASE WHEN "density" < 0.992198 THEN (CASE WHEN "chlorides" < 0.050375 THEN 0 ELSE 0 END) ELSE (CASE WHEN "volatile_acidity" < 0.220625 THEN 0 ELSE 0 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[10]: array([0])
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
classification_report([metrics, cutoff, ...])Computes a classification report using multiple model evaluation metrics (
auc,accuracy,f1...).confusion_matrix([pos_label, cutoff])Computes the model confusion matrix.
contour([pos_label, nbins, chart])Draws the model's contour plot.
cutoff_curve([pos_label, nbins, show, chart])Draws the model Cutoff curve.
deploySQL([X, pos_label, cutoff, allSQL])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.
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.
lift_chart([pos_label, nbins, show, chart])Draws the model Lift Chart.
plot([max_nb_points, chart])Draws the model.
plot_tree([tree_id, pic_path])Draws the input tree.
prc_curve([pos_label, nbins, show, chart])Draws the model PRC curve.
predict(vdf[, X, name, cutoff, inplace])Predicts using the input relation.
predict_proba(vdf[, X, name, pos_label, inplace])Returns the model's probabilities 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'.
report([metrics, cutoff, labels, nbins])Computes a classification report using multiple model evaluation metrics (
auc,accuracy,f1...).roc_curve([pos_label, nbins, show, chart])Draws the model ROC curve.
score([metric, average, pos_label, cutoff, ...])Computes the model score.
set_params([parameters])Sets the parameters of the model.
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.
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