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 3.9 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.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 | 1.51553 fixed_acidity | 0.00351 volatile_acidity| -0.51234 citric_acid | 0.14191 residual_sugar | -0.01813 chlorides | -4.59023 density | -1.68097 =========== call_string =========== SELECT svm_classifier('"public"."_verticapy_tmp_linearsvc_v_mldb_e198dc34979b11efa8720242ac120002_"', '"public"."_verticapy_tmp_view_v_mldb_e1d74fd2979b11efa8720242ac120002_"', '"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|5196 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 0.6752826149969873 prc_auc 0.2963134390332993 accuracy 0.8016910069177555 log_loss 0.235063722071299 precision 0.0 recall 0.0 f1_score 0.0 mcc 0.0 informedness 0.0 markedness -0.19830899308224448 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 0.6752826149969873 prc_auc 0.2963134390332993 accuracy 0.20599538816295157 log_loss 0.235063722071299 precision 0.19984508133230056 recall 1.0 f1_score 0.3331181407359587 mcc 0.04377282517388779 informedness 0.009587727708533 markedness 0.1998450813323005 csi 0.19984508133230056 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]: 0.8016910069177555
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 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 2 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 0 3 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 4 5.2 0.34 0.0 1.8 0.05 27.0 63.0 0.9916 3.68 0.79 14.0 6 0 red 0 5 5.2 0.34 0.0 1.8 0.05 27.0 63.0 0.9916 3.68 0.79 14.0 6 0 red 0 6 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 7 5.3 0.43 0.11 1.1 0.029 6.0 51.0 0.99076 3.51 0.48 11.2 4 0 white 0 8 5.4 0.53 0.16 2.7 0.036 34.0 128.0 0.98856 3.2 0.53 13.2 8 1 white 0 9 5.4 0.53 0.16 2.7 0.036 34.0 128.0 0.98856 3.2 0.53 13.2 8 1 white 0 10 5.5 0.16 0.26 1.5 0.032 35.0 100.0 0.99076 3.43 0.77 12.0 6 0 white 0 11 5.6 0.18 0.27 1.7 0.03 31.0 103.0 0.98892 3.35 0.37 12.9 6 0 white 0 12 5.6 0.18 0.29 2.3 0.04 5.0 47.0 0.99126 3.07 0.45 10.1 4 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 0.19 0.46 1.1 0.032 33.0 115.0 0.9909 3.36 0.5 10.4 6 0 white 0 15 5.6 0.46 0.24 4.8 0.042 24.0 72.0 0.9908 3.29 0.37 12.6 6 0 white 0 16 5.6 0.5 0.09 2.3 0.049 17.0 99.0 0.9937 3.63 0.63 13.0 5 0 red 0 17 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 18 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 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 5.8 0.22 0.25 1.5 0.024 21.0 109.0 0.99234 3.37 0.58 10.4 6 0 white 0 21 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 22 5.8 0.28 0.66 9.1 0.039 26.0 159.0 0.9965 3.66 0.55 10.8 5 0 white 0 23 5.8 0.33 0.2 16.05 0.047 26.0 166.0 0.9976 3.09 0.46 8.9 5 0 white 0 24 5.8 0.38 0.26 1.1 0.058 20.0 140.0 0.99271 3.27 0.43 9.7 6 0 white 0 25 5.9 0.24 0.28 1.3 0.032 36.0 95.0 0.98889 3.08 0.64 12.9 7 1 white 0 26 5.9 0.27 0.27 9.0 0.051 43.0 136.0 0.9941 3.25 0.53 10.7 6 0 white 0 27 5.9 0.32 0.19 14.5 0.042 37.0 115.0 0.99684 3.16 0.43 10.3 5 0 white 0 28 5.9 0.32 0.28 4.7 0.039 34.0 94.0 0.98964 3.22 0.57 13.1 7 1 white 0 29 5.9 0.34 0.31 2.0 0.03 38.0 142.0 0.98892 3.4 0.41 12.9 7 1 white 0 30 5.9 0.35 0.47 2.2 0.11 14.0 138.0 0.9932 3.09 0.5 9.1 5 0 white 0 31 5.9 0.435 0.16 6.4 0.031 21.0 134.0 0.99151 3.24 0.46 12.2 6 0 white 0 32 6.0 0.18 0.31 1.4 0.036 14.0 75.0 0.99085 3.34 0.58 11.1 8 1 white 0 33 6.0 0.2 0.71 1.6 0.15 10.0 54.0 0.9927 3.12 0.47 9.8 5 0 white 0 34 6.0 0.24 0.27 1.9 0.048 40.0 170.0 0.9938 3.64 0.54 10.0 7 1 white 0 35 6.0 0.24 0.34 1.0 0.036 52.0 184.0 0.99097 3.44 0.44 11.45 6 0 white 0 36 6.0 0.24 0.41 1.3 0.036 42.0 118.0 0.99018 3.04 0.64 11.75 6 0 white 0 37 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 38 6.0 0.28 0.24 17.8 0.047 42.0 111.0 0.99896 3.1 0.45 8.9 6 0 white 0 39 6.0 0.32 0.3 1.9 0.033 41.0 142.0 0.98912 3.29 0.42 12.8 7 1 white 0 40 6.0 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0.57 1.0 0.06 15.0 120.0 0.9924 3.06 0.41 9.5 5 0 white 0 97 6.4 0.55 0.26 9.6 0.027 20.0 104.0 0.9924 3.22 0.73 13.1 6 0 white 0 98 6.5 0.08 0.33 1.9 0.028 23.0 93.0 0.991 3.34 0.7 12.0 7 1 white 0 99 6.5 0.19 0.1 1.3 0.046 23.0 107.0 0.9937 3.29 0.45 10.0 5 0 white 0 100 6.5 0.19 0.27 4.9 0.037 13.0 101.0 0.9916 3.17 0.41 11.8 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 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 0 0.616873090097416 0.383126909902585 2 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 0 0.574286615140455 0.425713384859545 3 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 0 0.61171075838902 0.38828924161098 4 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 0 0.618369870123471 0.381630129876529 5 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 0 0.636840547151148 0.363159452848852 6 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 0.575896690499756 0.424103309500244 7 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 0 0.649881073320214 0.350118926679786 8 5.4 0.22 0.29 1.2 0.045 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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, 0], [ 258, 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 /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[7]: '((1 / (1 + EXP(- (1.51553164629599 + 0.0035068366370968 * "fixed_acidity" + -0.512343741994686 * "volatile_acidity" + 0.141911729594543 * "citric_acid" + -0.0181348451555414 * "residual_sugar" + -4.59022886762405 * "chlorides" + -1.68096576167843 * "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