πŸ“ Exercise M3.02#

The goal is to find the best set of hyperparameters which maximize the generalization performance on a training set.

from sklearn.datasets import fetch_california_housing
from sklearn.model_selection import train_test_split

data, target = fetch_california_housing(return_X_y=True, as_frame=True)
target *= 100  # rescale the target in k$

data_train, data_test, target_train, target_test = train_test_split(
    data, target, random_state=42)

In this exercise, we will progressively define the regression pipeline and later tune its hyperparameters.

Start by defining a pipeline that:

  • uses a StandardScaler to normalize the numerical data;

  • uses a sklearn.neighbors.KNeighborsRegressor as a predictive model.

# Write your code here.

Use RandomizedSearchCV with n_iter=20 to find the best set of hyperparameters by tuning the following parameters of the model:

  • the parameter n_neighbors of the KNeighborsRegressor with values np.logspace(0, 3, num=10).astype(np.int32);

  • the parameter with_mean of the StandardScaler with possible values True or False;

  • the parameter with_std of the StandardScaler with possible values True or False.

Notice that in the notebook β€œHyperparameter tuning by randomized-search” we pass distributions to be sampled by the RandomizedSearchCV. In this case we define a fixed grid of hyperparameters to be explored. Using a GridSearchCV instead would explore all the possible combinations on the grid, which can be costly to compute for large grids, whereas the parameter n_iter of the RandomizedSearchCV controls the number of different random combination that are evaluated. Notice that setting n_iter larger than the number of possible combinations in a grid (in this case 10 x 2 x 2 = 40) would lead to repeating already-explored combinations.

Once the computation has completed, print the best combination of parameters stored in the best_params_ attribute.

# Write your code here.