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Support Vector Machine with Cross-Validation¶
An example of optimizing a simple support vector machine on the IRIS dataset. We use the hyperparameter optimization facade, which uses a random forest as its surrogate model. It is able to scale to higher evaluation budgets and a higher number of dimensions. Also, you can use mixed data types as well as conditional hyperparameters.
[INFO][abstract_initial_design.py:134] Using 5 initial design configurations and 0 additional configurations.
[INFO][abstract_intensifier.py:493] Added config eb23b4 as new incumbent because there are no incumbents yet.
[INFO][abstract_intensifier.py:565] Added config 60c7ff and rejected config eb23b4 as incumbent because it is not better than the incumbents on 2 instances:
[INFO][configspace.py:175] --- C: 0.03992740880515713 -> 1.2760639488343621
[INFO][configspace.py:175] --- kernel: 'rbf' -> 'linear'
[INFO][configspace.py:175] --- shrinking: True -> False
[INFO][smbo.py:298] Finished 50 trials.
[INFO][smbo.py:306] Configuration budget is exhausted:
[INFO][smbo.py:307] --- Remaining wallclock time: inf
[INFO][smbo.py:308] --- Remaining cpu time: inf
[INFO][smbo.py:309] --- Remaining trials: 0
Default cost: 0.03333333333333344
Incumbent cost: 0.013333333333333308
import numpy as np
from ConfigSpace import Categorical, Configuration, ConfigurationSpace, Float, Integer
from ConfigSpace.conditions import InCondition
from sklearn import datasets, svm
from sklearn.model_selection import cross_val_score
from smac import HyperparameterOptimizationFacade, Scenario
__copyright__ = "Copyright 2021, AutoML.org Freiburg-Hannover"
__license__ = "3-clause BSD"
# We load the iris-dataset (a widely used benchmark)
iris = datasets.load_iris()
class SVM:
@property
def configspace(self) -> ConfigurationSpace:
# Build Configuration Space which defines all parameters and their ranges
cs = ConfigurationSpace(seed=0)
# First we create our hyperparameters
kernel = Categorical("kernel", ["linear", "poly", "rbf", "sigmoid"], default="poly")
C = Float("C", (0.001, 1000.0), default=1.0, log=True)
shrinking = Categorical("shrinking", [True, False], default=True)
degree = Integer("degree", (1, 5), default=3)
coef = Float("coef0", (0.0, 10.0), default=0.0)
gamma = Categorical("gamma", ["auto", "value"], default="auto")
gamma_value = Float("gamma_value", (0.0001, 8.0), default=1.0, log=True)
# Then we create dependencies
use_degree = InCondition(child=degree, parent=kernel, values=["poly"])
use_coef = InCondition(child=coef, parent=kernel, values=["poly", "sigmoid"])
use_gamma = InCondition(child=gamma, parent=kernel, values=["rbf", "poly", "sigmoid"])
use_gamma_value = InCondition(child=gamma_value, parent=gamma, values=["value"])
# Add hyperparameters and conditions to our configspace
cs.add_hyperparameters([kernel, C, shrinking, degree, coef, gamma, gamma_value])
cs.add_conditions([use_degree, use_coef, use_gamma, use_gamma_value])
return cs
def train(self, config: Configuration, seed: int = 0) -> float:
"""Creates a SVM based on a configuration and evaluates it on the
iris-dataset using cross-validation."""
config_dict = config.get_dictionary()
if "gamma" in config:
config_dict["gamma"] = config_dict["gamma_value"] if config_dict["gamma"] == "value" else "auto"
config_dict.pop("gamma_value", None)
classifier = svm.SVC(**config_dict, random_state=seed)
scores = cross_val_score(classifier, iris.data, iris.target, cv=5)
cost = 1 - np.mean(scores)
return cost
if __name__ == "__main__":
classifier = SVM()
# Next, we create an object, holding general information about the run
scenario = Scenario(
classifier.configspace,
n_trials=50, # We want to run max 50 trials (combination of config and seed)
)
# We want to run the facade's default initial design, but we want to change the number
# of initial configs to 5.
initial_design = HyperparameterOptimizationFacade.get_initial_design(scenario, n_configs=5)
# Now we use SMAC to find the best hyperparameters
smac = HyperparameterOptimizationFacade(
scenario,
classifier.train,
initial_design=initial_design,
overwrite=True, # If the run exists, we overwrite it; alternatively, we can continue from last state
)
incumbent = smac.optimize()
# Get cost of default configuration
default_cost = smac.validate(classifier.configspace.get_default_configuration())
print(f"Default cost: {default_cost}")
# Let's calculate the cost of the incumbent
incumbent_cost = smac.validate(incumbent)
print(f"Incumbent cost: {incumbent_cost}")
Total running time of the script: ( 0 minutes 1.425 seconds)