verticapy.machine_learning.vertica.svm.LinearSVC¶
- class verticapy.machine_learning.vertica.svm.LinearSVC(name: str = None, overwrite_model: bool = False, tol: float = 0.0001, C: float = 1.0, intercept_scaling: float = 1.0, intercept_mode: Literal['regularized', 'unregularized'] = 'regularized', class_weight: Literal['auto', 'none'] | list = [1, 1], max_iter: int = 100)¶
Creates a LinearSVC object using the Vertica Support Vector Machine (SVM) algorithm on the data. Given a set of training examples, where each is marked as belonging to one of two categories, an SVM training algorithm builds a model that assigns new examples to one category or the other, making it a non-probabilistic binary linear classifier.
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.- tol: float, optional
Tolerance for stopping criteria. This is used to control accuracy.
- C: float, optional
Weight for misclassification cost. The algorithm minimizes the regularization cost and the misclassification cost.
- intercept_scaling: float
A float value, serves as the value of a dummy feature whose coefficient Vertica uses to calculate the model intercept. Because the dummy feature is not in the training data, its values are set to a constant, by default set to 1.
- intercept_mode: str, optional
Specify how to treat the intercept.
- regularized:
Fits the intercept and applies a regularization.
- unregularized:
Fits the intercept but does not include it in regularization.
- class_weight: str | list, optional
Specifies how to determine weights for the two classes. It can be a list of 2 elements or one of the following methods:
- auto:
Weights each class according to the number of samples.
- none:
No weights are used.
- max_iter: int, optional
The maximum number of iterations that the algorithm performs.
Attributes¶
Many attributes are created during the fitting phase.
- coef_: numpy.array
The regression coefficients. The order of coefficients is the same as the order of columns used during the fitting phase.
- intercept_: float
The expected value of the dependent variable when all independent variables are zero, serving as the baseline or constant term in the model.
- features_importance_: numpy.array
The importance of features is computed through the model coefficients, which are normalized based on their range. Subsequently, an activation function calculates the final score. 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.
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 3.8 0.31 0.02 11.1 0.036 20.0 114.0 0.99248 3.75 0.44 12.4 6 0 white 2 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 3 4.2 0.17 0.36 1.8 0.029 93.0 161.0 0.98999 3.65 0.89 12.0 7 1 white 4 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 5 4.4 0.32 0.39 4.3 0.03 31.0 127.0 0.98904 3.46 0.36 12.8 8 1 white 6 4.4 0.46 0.1 2.8 0.024 31.0 111.0 0.98816 3.48 0.34 13.1 6 0 white 7 4.4 0.54 0.09 5.1 0.038 52.0 97.0 0.99022 3.41 0.4 12.2 7 1 white 8 4.5 0.19 0.21 0.95 0.033 89.0 159.0 0.99332 3.34 0.42 8.0 5 0 white 9 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 10 4.6 0.52 0.15 2.1 0.054 8.0 65.0 0.9934 3.9 0.56 13.1 4 0 red 11 4.7 0.145 0.29 1.0 0.042 35.0 90.0 0.9908 3.76 0.49 11.3 6 0 white 12 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 13 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 14 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 15 4.7 0.67 0.09 1.0 0.02 5.0 9.0 0.98722 3.3 0.34 13.6 5 0 white 16 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 17 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 18 4.8 0.17 0.28 2.9 0.03 22.0 111.0 0.9902 3.38 0.34 11.3 7 1 white 19 4.8 0.21 0.21 10.2 0.037 17.0 112.0 0.99324 3.66 0.48 12.2 7 1 white 20 4.8 0.225 0.38 1.2 0.074 47.0 130.0 0.99132 3.31 0.4 10.3 6 0 white 21 4.8 0.26 0.23 10.6 0.034 23.0 111.0 0.99274 3.46 0.28 11.5 7 1 white 22 4.8 0.29 0.23 1.1 0.044 38.0 180.0 0.98924 3.28 0.34 11.9 6 0 white 23 4.8 0.33 0.0 6.5 0.028 34.0 163.0 0.9937 3.35 0.61 9.9 5 0 white 24 4.8 0.34 0.0 6.5 0.028 33.0 163.0 0.9939 3.36 0.61 9.9 6 0 white 25 4.8 0.65 0.12 1.1 0.013 4.0 10.0 0.99246 3.32 0.36 13.5 4 0 white 26 4.9 0.235 0.27 11.75 0.03 34.0 118.0 0.9954 3.07 0.5 9.4 6 0 white 27 4.9 0.33 0.31 1.2 0.016 39.0 150.0 0.98713 3.33 0.59 14.0 8 1 white 28 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 29 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 30 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 31 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 32 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 33 4.9 0.47 0.17 1.9 0.035 60.0 148.0 0.98964 3.27 0.35 11.5 6 0 white 34 5.0 0.17 0.56 1.5 0.026 24.0 115.0 0.9906 3.48 0.39 10.8 7 1 white 35 5.0 0.2 0.4 1.9 0.015 20.0 98.0 0.9897 3.37 0.55 12.05 6 0 white 36 5.0 0.235 0.27 11.75 0.03 34.0 118.0 0.9954 3.07 0.5 9.4 6 0 white 37 5.0 0.24 0.19 5.0 0.043 17.0 101.0 0.99438 3.67 0.57 10.0 5 0 white 38 5.0 0.24 0.21 2.2 0.039 31.0 100.0 0.99098 3.69 0.62 11.7 6 0 white 39 5.0 0.24 0.34 1.1 0.034 49.0 158.0 0.98774 3.32 0.32 13.1 7 1 white 40 5.0 0.255 0.22 2.7 0.043 46.0 153.0 0.99238 3.75 0.76 11.3 6 0 white 41 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 42 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 43 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 44 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 45 5.0 0.3 0.33 3.7 0.03 54.0 173.0 0.9887 3.36 0.3 13.0 7 1 white 46 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 47 5.0 0.33 0.16 1.5 0.049 10.0 97.0 0.9917 3.48 0.44 10.7 6 0 white 48 5.0 0.33 0.16 1.5 0.049 10.0 97.0 0.9917 3.48 0.44 10.7 6 0 white 49 5.0 0.33 0.16 1.5 0.049 10.0 97.0 0.9917 3.48 0.44 10.7 6 0 white 50 5.0 0.33 0.18 4.6 0.032 40.0 124.0 0.99114 3.18 0.4 11.0 6 0 white 51 5.0 0.33 0.23 11.8 0.03 23.0 158.0 0.99322 3.41 0.64 11.8 6 0 white 52 5.0 0.35 0.25 7.8 0.031 24.0 116.0 0.99241 3.39 0.4 11.3 6 0 white 53 5.0 0.35 0.25 7.8 0.031 24.0 116.0 0.99241 3.39 0.4 11.3 6 0 white 54 5.0 0.38 0.01 1.6 0.048 26.0 60.0 0.99084 3.7 0.75 14.0 6 0 red 55 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 56 5.0 0.42 0.24 2.0 0.06 19.0 50.0 0.9917 3.72 0.74 14.0 8 1 red 57 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 58 5.0 0.455 0.18 1.9 0.036 33.0 106.0 0.98746 3.21 0.83 14.0 7 1 white 59 5.0 0.55 0.14 8.3 0.032 35.0 164.0 0.9918 3.53 0.51 12.5 8 1 white 60 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 61 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 62 5.0 1.02 0.04 1.4 0.045 41.0 85.0 0.9938 3.75 0.48 10.5 4 0 red 63 5.0 1.04 0.24 1.6 0.05 32.0 96.0 0.9934 3.74 0.62 11.5 5 0 red 64 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 65 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 66 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 67 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 68 5.1 0.23 0.18 1.0 0.053 13.0 99.0 0.98956 3.22 0.39 11.5 5 0 white 69 5.1 0.25 0.36 1.3 0.035 40.0 78.0 0.9891 3.23 0.64 12.1 7 1 white 70 5.1 0.26 0.33 1.1 0.027 46.0 113.0 0.98946 3.35 0.43 11.4 7 1 white 71 5.1 0.26 0.34 6.4 0.034 26.0 99.0 0.99449 3.23 0.41 9.2 6 0 white 72 5.1 0.29 0.28 8.3 0.026 27.0 107.0 0.99308 3.36 0.37 11.0 6 0 white 73 5.1 0.29 0.28 8.3 0.026 27.0 107.0 0.99308 3.36 0.37 11.0 6 0 white 74 5.1 0.3 0.3 2.3 0.048 40.0 150.0 0.98944 3.29 0.46 12.2 6 0 white 75 5.1 0.305 0.13 1.75 0.036 17.0 73.0 0.99 3.4 0.51 12.3333333333333 5 0 white 76 5.1 0.31 0.3 0.9 0.037 28.0 152.0 0.992 3.54 0.56 10.1 6 0 white 77 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 78 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 79 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 80 5.1 0.33 0.27 6.7 0.022 44.0 129.0 0.99221 3.36 0.39 11.0 7 1 white 81 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 82 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 83 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 84 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 85 5.1 0.42 0.0 1.8 0.044 18.0 88.0 0.99157 3.68 0.73 13.6 7 1 red 86 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 87 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 88 5.1 0.51 0.18 2.1 0.042 16.0 101.0 0.9924 3.46 0.87 12.9 7 1 red 89 5.1 0.52 0.06 2.7 0.052 30.0 79.0 0.9932 3.32 0.43 9.3 5 0 white 90 5.1 0.585 0.0 1.7 0.044 14.0 86.0 0.99264 3.56 0.94 12.9 7 1 red 91 5.2 0.155 0.33 1.6 0.028 13.0 59.0 0.98975 3.3 0.84 11.9 8 1 white 92 5.2 0.155 0.33 1.6 0.028 13.0 59.0 0.98975 3.3 0.84 11.9 8 1 white 93 5.2 0.16 0.34 0.8 0.029 26.0 77.0 0.99155 3.25 0.51 10.1 6 0 white 94 5.2 0.17 0.27 0.7 0.03 11.0 68.0 0.99218 3.3 0.41 9.8 5 0 white 95 5.2 0.185 0.22 1.0 0.03 47.0 123.0 0.99218 3.55 0.44 10.15 6 0 white 96 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 97 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 98 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 99 5.2 0.24 0.15 7.1 0.043 32.0 134.0 0.99378 3.24 0.48 9.9 6 0 white 100 5.2 0.24 0.45 3.8 0.027 21.0 128.0 0.992 3.55 0.49 11.2 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.Model Initialization¶
First we import the
LinearSVCmodel:from verticapy.machine_learning.vertica import LinearSVC
Then we can create the model:
model = LinearSVC( tol = 1e-4, C = 1.0, intercept_scaling = 1.0, intercept_mode = "regularized", class_weight = [1, 1], max_iter = 100, )
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, ) ======= details ======= predictor |coefficient ----------------+----------- Intercept | 1.51057 fixed_acidity | 0.01071 volatile_acidity| -0.51127 citric_acid | 0.12824 residual_sugar | -0.01789 chlorides | -4.95417 density | -1.70361 =========== call_string =========== SELECT svm_classifier('"public"."_verticapy_tmp_linearsvc_v_demo_dc64dddc55a411ef880f0242ac120002_"', '"public"."_verticapy_tmp_view_v_demo_dc77380655a411ef880f0242ac120002_"', '"good"', '"fixed_acidity", "volatile_acidity", "citric_acid", "residual_sugar", "chlorides", "density"' USING PARAMETERS class_weights='1,1', C=1, max_iterations=100, intercept_mode='regularized', intercept_scaling=1, epsilon=0.0001); =============== Additional Info =============== Name |Value ------------------+----- accepted_row_count|5192 rejected_row_count| 0 iteration_count | 13
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
For
LinearModel, feature importance is computed using the coefficients. These coefficients are then normalized using the feature distribution. An activation function is applied to get the final score.Metrics¶
We can get the entire report using:
model.report()
value auc 0.674371533196334 prc_auc 0.3028371815163968 accuracy 0.8130268199233717 log_loss 0.231551072438412 precision 0.0 recall 0.0 f1_score 0.0 mcc 0.0 informedness 0.0 markedness -0.18697318007662833 csi 0.0 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 0.674371533196334 prc_auc 0.3028371815163968 accuracy 0.19770114942528735 log_loss 0.231551072438412 precision 0.1890007745933385 recall 1.0 f1_score 0.3179153094462541 mcc 0.049938801796684494 informedness 0.013195098963242113 markedness 0.18900077459333842 csi 0.1890007745933385 Rows: 1-11 | Columns: 2You can also use the
LinearModel.scorefunction to compute any classification metric. The default metric is the accuracy:model.score() Out[3]: 0.8130268199233717
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_dioxide123density123pH123sulphates123alcohol123quality123goodAbccolor123prediction1 3.8 0.31 0.02 11.1 0.036 20.0 114.0 0.99248 3.75 0.44 12.4 6 0 white 0 2 4.5 0.19 0.21 0.95 0.033 89.0 159.0 0.99332 3.34 0.42 8.0 5 0 white 0 3 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 4 4.7 0.67 0.09 1.0 0.02 5.0 9.0 0.98722 3.3 0.34 13.6 5 0 white 0 5 4.8 0.65 0.12 1.1 0.013 4.0 10.0 0.99246 3.32 0.36 13.5 4 0 white 0 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 0 7 5.0 0.17 0.56 1.5 0.026 24.0 115.0 0.9906 3.48 0.39 10.8 7 1 white 0 8 5.0 0.235 0.27 11.75 0.03 34.0 118.0 0.9954 3.07 0.5 9.4 6 0 white 0 9 5.0 0.24 0.19 5.0 0.043 17.0 101.0 0.99438 3.67 0.57 10.0 5 0 white 0 10 5.0 0.33 0.23 11.8 0.03 23.0 158.0 0.99322 3.41 0.64 11.8 6 0 white 0 11 5.0 0.35 0.25 7.8 0.031 24.0 116.0 0.99241 3.39 0.4 11.3 6 0 white 0 12 5.0 0.55 0.14 8.3 0.032 35.0 164.0 0.9918 3.53 0.51 12.5 8 1 white 0 13 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 14 5.0 1.04 0.24 1.6 0.05 32.0 96.0 0.9934 3.74 0.62 11.5 5 0 red 0 15 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 0 16 5.1 0.31 0.3 0.9 0.037 28.0 152.0 0.992 3.54 0.56 10.1 6 0 white 0 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 0 18 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 19 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 20 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 21 5.1 0.51 0.18 2.1 0.042 16.0 101.0 0.9924 3.46 0.87 12.9 7 1 red 0 22 5.2 0.185 0.22 1.0 0.03 47.0 123.0 0.99218 3.55 0.44 10.15 6 0 white 0 23 5.2 0.24 0.45 3.8 0.027 21.0 128.0 0.992 3.55 0.49 11.2 8 1 white 0 24 5.2 0.405 0.15 1.45 0.038 10.0 44.0 0.99125 3.52 0.4 11.6 4 0 white 0 25 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 0 26 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 0 27 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 0 28 5.3 0.31 0.38 10.5 0.031 53.0 140.0 0.99321 3.34 0.46 11.7 6 0 white 0 29 5.3 0.32 0.12 6.6 0.043 22.0 141.0 0.9937 3.36 0.6 10.4 6 0 white 0 30 5.3 0.32 0.23 9.65 0.026 26.0 119.0 0.99168 3.18 0.53 12.2 6 0 white 0 31 5.3 0.57 0.01 1.7 0.054 5.0 27.0 0.9934 3.57 0.84 12.5 7 1 red 0 32 5.3 0.76 0.03 2.7 0.043 27.0 93.0 0.9932 3.34 0.38 9.2 5 0 white 0 33 5.4 0.23 0.36 1.5 0.03 74.0 121.0 0.98976 3.24 0.99 12.1 7 1 white 0 34 5.4 0.42 0.27 2.0 0.092 23.0 55.0 0.99471 3.78 0.64 12.3 7 1 red 0 35 5.4 0.5 0.13 5.0 0.028 12.0 107.0 0.99079 3.48 0.88 13.5 7 1 white 0 36 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 0 37 5.5 0.16 0.22 4.5 0.03 30.0 102.0 0.9938 3.24 0.36 9.4 6 0 white 0 38 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 0 39 5.5 0.17 0.23 2.9 0.039 10.0 108.0 0.99243 3.28 0.5 10.0 5 0 white 0 40 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 0 41 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 42 5.5 0.3 0.25 1.9 0.029 33.0 118.0 0.98972 3.36 0.66 12.5 6 0 white 0 43 5.5 0.42 0.09 1.6 0.019 18.0 68.0 0.9906 3.33 0.51 11.4 7 1 white 0 44 5.5 0.49 0.03 1.8 0.044 28.0 87.0 0.9908 3.5 0.82 14.0 8 1 red 0 45 5.6 0.12 0.33 2.9 0.044 21.0 73.0 0.98896 3.17 0.32 12.9 8 1 white 0 46 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 0 47 5.6 0.19 0.27 0.9 0.04 52.0 103.0 0.99026 3.5 0.39 11.2 5 0 white 0 48 5.6 0.19 0.39 1.1 0.043 17.0 67.0 0.9918 3.23 0.53 10.3 6 0 white 0 49 5.6 0.2 0.22 1.3 0.049 25.0 155.0 0.99296 3.74 0.43 10.0 5 0 white 0 50 5.6 0.2 0.36 2.5 0.048 16.0 125.0 0.99282 3.49 0.49 10.0 6 0 white 0 51 5.6 0.21 0.24 4.4 0.027 37.0 150.0 0.991 3.3 0.31 11.5 7 1 white 0 52 5.6 0.21 0.4 1.3 0.041 81.0 147.0 0.9901 3.22 0.95 11.6 8 1 white 0 53 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 0 54 5.6 0.245 0.25 9.7 0.032 12.0 68.0 0.994 3.31 0.34 10.5 5 0 white 0 55 5.6 0.25 0.19 2.4 0.049 42.0 166.0 0.992 3.25 0.43 10.4 6 0 white 0 56 5.6 0.25 0.26 3.6 0.037 18.0 115.0 0.9904 3.42 0.5 12.6 6 0 white 0 57 5.6 0.27 0.37 0.9 0.025 11.0 49.0 0.98845 3.29 0.33 13.1 6 0 white 0 58 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 59 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 0 60 5.6 0.295 0.2 2.2 0.049 18.0 134.0 0.99378 3.21 0.68 10.0 5 0 white 0 61 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 0 62 5.6 0.33 0.28 1.2 0.031 33.0 97.0 0.99126 3.49 0.58 10.9 6 0 white 0 63 5.6 0.34 0.25 2.5 0.046 47.0 182.0 0.99093 3.21 0.4 11.3 5 0 white 0 64 5.6 0.41 0.22 7.1 0.05 44.0 154.0 0.9931 3.3 0.4 10.5 5 0 white 0 65 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 66 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 0 67 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 68 5.6 0.915 0.0 2.1 0.041 17.0 78.0 0.99346 3.68 0.73 11.4 5 0 red 0 69 5.7 0.15 0.28 3.7 0.045 57.0 151.0 0.9913 3.22 0.27 11.2 6 0 white 0 70 5.7 0.16 0.26 6.3 0.043 28.0 113.0 0.9936 3.06 0.58 9.9 6 0 white 0 71 5.7 0.18 0.22 4.2 0.042 25.0 111.0 0.994 3.35 0.39 9.4 5 0 white 0 72 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 0 73 5.7 0.21 0.24 2.3 0.047 60.0 189.0 0.995 3.65 0.72 10.1 6 0 white 0 74 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 0 75 5.7 0.25 0.21 1.5 0.044 21.0 108.0 0.99142 3.3 0.59 11.0 6 0 white 0 76 5.7 0.25 0.22 9.8 0.049 50.0 125.0 0.99571 3.2 0.45 10.1 6 0 white 0 77 5.7 0.255 0.65 1.2 0.079 17.0 137.0 0.99307 3.2 0.42 9.4 5 0 white 0 78 5.7 0.26 0.27 4.1 0.201 73.5 189.5 0.9942 3.27 0.38 9.4 6 0 white 0 79 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 80 5.7 0.28 0.3 3.9 0.026 36.0 105.0 0.98963 3.26 0.58 12.75 6 0 white 0 81 5.7 0.28 0.35 1.2 0.052 39.0 141.0 0.99108 3.44 0.69 11.3 6 0 white 0 82 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 83 5.7 0.335 0.34 1.0 0.04 13.0 174.0 0.992 3.27 0.66 10.0 5 0 white 0 84 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 85 5.7 0.41 0.21 1.9 0.048 30.0 112.0 0.99138 3.29 0.55 11.2 6 0 white 0 86 5.7 0.43 0.3 5.7 0.039 24.0 98.0 0.992 3.54 0.61 12.3 7 1 white 0 87 5.7 0.44 0.13 7.0 0.025 28.0 173.0 0.9913 3.33 0.48 12.5 6 0 white 0 88 5.7 0.46 0.46 1.4 0.04 31.0 169.0 0.9932 3.13 0.47 8.8 5 0 white 0 89 5.8 0.17 0.3 1.4 0.037 55.0 130.0 0.9909 3.29 0.38 11.3 6 0 white 0 90 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 0 91 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 0 92 5.8 0.19 0.24 1.3 0.044 38.0 128.0 0.99362 3.77 0.6 10.6 5 0 white 0 93 5.8 0.19 0.49 4.9 0.04 44.0 118.0 0.9935 3.34 0.38 9.5 7 1 white 0 94 5.8 0.2 0.16 1.4 0.042 44.0 99.0 0.98912 3.23 0.37 12.2 6 0 white 0 95 5.8 0.22 0.29 1.3 0.036 25.0 68.0 0.98865 3.24 0.35 12.6 6 0 white 0 96 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 97 5.8 0.23 0.27 1.8 0.043 24.0 69.0 0.9933 3.38 0.31 9.4 6 0 white 0 98 5.8 0.25 0.28 11.1 0.056 45.0 175.0 0.99755 3.42 0.43 9.5 5 0 white 0 99 5.8 0.26 0.24 9.2 0.044 55.0 152.0 0.9961 3.31 0.38 9.4 5 0 white 0 100 5.8 0.27 0.27 12.3 0.045 55.0 170.0 0.9972 3.28 0.42 9.3 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_dioxide123density123pH123sulphates123alcohol123quality123goodAbccolor123prediction123prediction_0123prediction_11 3.8 0.31 0.02 11.1 0.036 20.0 114.0 0.99248 3.75 0.44 12.4 6 0 white 0 0.662030305164294 0.337969694835706 2 4.5 0.19 0.21 0.95 0.033 89.0 159.0 0.99332 3.34 0.42 8.0 5 0 white 0 0.594871947473055 0.405128052526945 3 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 0.677990092276227 0.322009907723774 4 4.7 0.67 0.09 1.0 0.02 5.0 9.0 0.98722 3.3 0.34 13.6 5 0 white 0 0.63850906971726 0.36149093028274 5 4.8 0.65 0.12 1.1 0.013 4.0 10.0 0.99246 3.32 0.36 13.5 4 0 white 0 0.629434427678696 0.370565572321304 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 0 0.648720139610313 0.351279860389687 7 5.0 0.17 0.56 1.5 0.026 24.0 115.0 0.9906 3.48 0.39 10.8 7 1 white 0 0.573024092268253 0.426975907731747 8 5.0 0.235 0.27 11.75 0.03 34.0 118.0 0.9954 3.07 0.5 9.4 6 0 white 0 0.6401392085145 0.3598607914855 9 5.0 0.24 0.19 5.0 0.043 17.0 101.0 0.99438 3.67 0.57 10.0 5 0 white 0 0.629648200385675 0.370351799614325 10 5.0 0.33 0.23 11.8 0.03 23.0 158.0 0.99322 3.41 0.64 11.8 6 0 white 0 0.651774792184336 0.348225207815664 11 5.0 0.35 0.25 7.8 0.031 24.0 116.0 0.99241 3.39 0.4 11.3 6 0 white 0 0.637962820217989 0.362037179782011 12 5.0 0.55 0.14 8.3 0.032 35.0 164.0 0.9918 3.53 0.51 12.5 8 1 white 0 0.66724561218536 0.33275438781464 13 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 0.674753127426309 0.325246872573691 14 5.0 1.04 0.24 1.6 0.05 32.0 96.0 0.9934 3.74 0.62 11.5 5 0 red 0 0.71207950111473 0.28792049888527 15 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 0 0.626706249587761 0.373293750412239 16 5.1 0.31 0.3 0.9 0.037 28.0 152.0 0.992 3.54 0.56 10.1 6 0 white 0 0.609259091691719 0.390740908308281 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 0 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0.72 10.1 6 0 white 0 0.616337980032349 0.383662019967651 74 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 0 0.621837334463251 0.378162665536749 75 5.7 0.25 0.21 1.5 0.044 21.0 108.0 0.99142 3.3 0.59 11.0 6 0 white 0 0.613739851517657 0.386260148482343 76 5.7 0.25 0.22 9.8 0.049 50.0 125.0 0.99571 3.2 0.45 10.1 6 0 white 0 0.655279077712781 0.344720922287219 77 5.7 0.255 0.65 1.2 0.079 17.0 137.0 0.99307 3.2 0.42 9.4 5 0 white 0 0.641074099415919 0.358925900584081 78 5.7 0.26 0.27 4.1 0.201 73.5 189.5 0.9942 3.27 0.38 9.4 6 0 white 0 0.784067080018637 0.215932919981363 79 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 0.627472199029382 0.372527800970618 80 5.7 0.28 0.3 3.9 0.026 36.0 105.0 0.98963 3.26 0.58 12.75 6 0 white 0 0.602899842369847 0.397100157630153 81 5.7 0.28 0.35 1.2 0.052 39.0 141.0 0.99108 3.44 0.69 11.3 6 0 white 0 0.621079271327113 0.378920728672887 82 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 0.61314380325193 0.38685619674807 83 5.7 0.335 0.34 1.0 0.04 13.0 174.0 0.992 3.27 0.66 10.0 5 0 white 0 0.613506053106158 0.386493946893842 84 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 0.621397637903254 0.378602362096746 85 5.7 0.41 0.21 1.9 0.048 30.0 112.0 0.99138 3.29 0.55 11.2 6 0 white 0 0.639170897877935 0.360829102122065 86 5.7 0.43 0.3 5.7 0.039 24.0 98.0 0.992 3.54 0.61 12.3 7 1 white 0 0.644487127086571 0.355512872913429 87 5.7 0.44 0.13 7.0 0.025 28.0 173.0 0.9913 3.33 0.48 12.5 6 0 white 0 0.639803433660313 0.360196566339687 88 5.7 0.46 0.46 1.4 0.04 31.0 169.0 0.9932 3.13 0.47 8.8 5 0 white 0 0.627099397748113 0.372900602251887 89 5.8 0.17 0.3 1.4 0.037 55.0 130.0 0.9909 3.29 0.38 11.3 6 0 white 0 0.591988275764826 0.408011724235174 90 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 0 0.60178606259687 0.39821393740313 91 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 0 0.60178606259687 0.39821393740313 92 5.8 0.19 0.24 1.3 0.044 38.0 128.0 0.99362 3.77 0.6 10.6 5 0 white 0 0.605308856790919 0.394691143209081 93 5.8 0.19 0.49 4.9 0.04 44.0 118.0 0.9935 3.34 0.38 9.5 7 1 white 0 0.608246925878752 0.391753074121248 94 5.8 0.2 0.16 1.4 0.042 44.0 99.0 0.98912 3.23 0.37 12.2 6 0 white 0 0.605210069295311 0.394789930704689 95 5.8 0.22 0.29 1.3 0.036 25.0 68.0 0.98865 3.24 0.35 12.6 6 0 white 0 0.595912150099657 0.404087849900343 96 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 0.612650308161266 0.387349691838734 97 5.8 0.23 0.27 1.8 0.043 24.0 69.0 0.9933 3.38 0.31 9.4 6 0 white 0 0.610088317761785 0.389911682238215 98 5.8 0.25 0.28 11.1 0.056 45.0 175.0 0.99755 3.42 0.43 9.5 5 0 white 0 0.66699565284324 0.33300434715676 99 5.8 0.26 0.24 9.2 0.044 55.0 152.0 0.9961 3.31 0.38 9.4 5 0 white 0 0.647704294669982 0.352295705330017 100 5.8 0.27 0.27 12.3 0.045 55.0 170.0 0.9972 3.28 0.42 9.3 6 0 white 0 0.662064785418781 0.337935214581219 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([[1061, 0], [ 244, 0]])
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¶
If the model allows, you can also generate relevant plots. For example, classification plots can be found in the Machine Learning - Classification Plots.
model.plot()
Important
The plotting feature is typically suitable for models with fewer than three predictors.
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[5]: {'tol': 0.0001, 'C': 1.0, 'intercept_scaling': 1.0, 'intercept_mode': 'regularized', 'class_weight': [1, 1], 'max_iter': 100}
And to manually change some of the parameters:
model.set_params({'tol': 0.001})
Model Register¶
In order to register the model for tracking and versioning:
model.register("model_v1")
Please refer to Model Tracking and Versioning 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[7]: '((1 / (1 + EXP(- (1.51056778555869 + 0.010713846900044 * "fixed_acidity" + -0.511273218247261 * "volatile_acidity" + 0.128244950908337 * "citric_acid" + -0.0178878465519884 * "residual_sugar" + -4.95416723431854 * "chlorides" + -1.70361175020851 * "density")))) > 0.5)::int'
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[9]: 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, tol: float = 0.0001, C: float = 1.0, intercept_scaling: float = 1.0, intercept_mode: Literal['regularized', 'unregularized'] = 'regularized', class_weight: Literal['auto', 'none'] | list = [1, 1], max_iter: int = 100) None¶
Methods
__init__([name, overwrite_model, tol, C, ...])classification_report([metrics, cutoff, nbins])Computes a classification report using multiple model evaluation metrics (
auc,accuracy,f1...).confusion_matrix([cutoff])Computes the model confusion matrix.
contour([nbins, chart])Draws the model's contour plot.
cutoff_curve([nbins, show, chart])Draws the model Cutoff curve.
deploySQL([X, cutoff])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([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_vertica_attributes([attr_name])Returns the model Vertica attributes.
import_models(path[, schema, kind])Imports machine learning models.
lift_chart([nbins, show, chart])Draws the model Lift Chart.
plot([max_nb_points, chart])Draws the model.
prc_curve([nbins, show, chart])Draws the model PRC curve.
predict(vdf[, X, name, cutoff, inplace])Makes predictions on 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, nbins])Computes a classification report using multiple model evaluation metrics (
auc,accuracy,f1...).roc_curve([nbins, show, chart])Draws the model ROC curve.
score([metric, cutoff, nbins])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.
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