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param_grid

param_grid is a dictionary of hyperparameter values to try.

Structure of param_grid

param_grid is a dict: the key is the parameter name and the value the list of values to try. The Cartesian product of all lists is tried:

izgara = {"svc__C": [0.1, 1, 10], "svc__kernel": ["linear", "rbf"]}
# 3 × 2 = 6 combinations
from sklearn.model_selection import ParameterGrid
print(len(ParameterGrid(izgara)))   # 6

ParameterGrid lets you see how many combinations will be tried before the search.

A list of dicts: a conditional grid

Some parameters only matter in certain settings: gamma isn't used with the linear kernel. A list of dicts prevents needless combinations:

izgara = [
    {"svc__kernel": ["linear"], "svc__C": [0.1, 1, 10]},
    {"svc__kernel": ["rbf"], "svc__C": [0.1, 1, 10], "svc__gamma": [0.01, 0.1]},
]
print(len(ParameterGrid(izgara)))   # 3 + 6 = 9

The same method even lets different models be compared in one search: {"svc": [SVC(), LogisticRegression()]}.

Practice Conditional grid

Build a list of dicts with C ∈ [0.1, 1, 10] for the linear kernel, and C ∈ [1, 10] and gamma ∈ [0.01, 0.1] for the rbf kernel. Print the number of combinations with ParameterGrid, then run GridSearchCV(..., cv=5) and print best_params_.

Starter code

model.py
from sklearn.datasets import load_breast_cancer
from sklearn.model_selection import train_test_split, GridSearchCV
from sklearn.pipeline import Pipeline
from sklearn.preprocessing import StandardScaler
from sklearn.svm import SVC

X, y = load_breast_cancer(return_X_y=True)
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.25, random_state=0, stratify=y)
pipe = Pipeline([("olcek", StandardScaler()), ("svc", SVC())])
from sklearn.model_selection import ParameterGrid

# buraya yaz

Sample solution

model.py
from sklearn.datasets import load_breast_cancer
from sklearn.model_selection import train_test_split, GridSearchCV
from sklearn.pipeline import Pipeline
from sklearn.preprocessing import StandardScaler
from sklearn.svm import SVC

X, y = load_breast_cancer(return_X_y=True)
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.25, random_state=0, stratify=y)
pipe = Pipeline([("olcek", StandardScaler()), ("svc", SVC())])
from sklearn.model_selection import ParameterGrid

izgara = [
    {"svc__kernel": ["linear"], "svc__C": [0.1, 1, 10]},
    {"svc__kernel": ["rbf"], "svc__C": [1, 10], "svc__gamma": [0.01, 0.1]},
]
print(len(ParameterGrid(izgara)))
gs = GridSearchCV(pipe, izgara, cv=5).fit(X_train, y_train)
print(gs.best_params_)

Expected output

7
{'svc__C': 0.1, 'svc__kernel': 'linear'}

Questions and answers

Review the lesson questions together with their answers. To test yourself, solve the lesson interactively.

1 How many combinations does a grid of three parameters with 3, 4 and 5 values contain?

  • 20
  • 15
  • 60 Correct answer
  • 12

Explanation: 3 × 4 × 5 = 60; each is additionally trained in every fold.

2 See the number of combinations before the search.

Question
print(len(____(izgara)))
Answer
print(len(ParameterGrid(izgara)))

Explanation: ParameterGrid produces each combination as a dict.

3 Match the grids with the combination counts.

Term Meaning
{"a": [1, 2], "b": [1, 2]} 4
{"a": [1, 2, 3]} 3
[{"a": [1]}, {"b": [1, 2]}] 3 (1 + 2)
{"a": [1, 2], "b": [1, 2, 3]} 6

All lessons in Intermediate