クラス重みとしきい値の移動
sklearnの分類器でclass_weight='balanced'を設定し、確率出力に対する判定しきい値を移動して、まれな事象の再現率をさらに最適化します。
「クラス重みとしきい値の移動」はCoddyKit上の無料Machine Learning Academyレッスンです。 これはレッスン4/4です。 下記で完全なレッスンを無料で読むことができます。その後、ブラウザ内の組み込みコードエディタと24時間対応のAIチューターでハンズオン演習できます。 これはMachine Learning Academy学習パスの一部であり、ウェブとCoddyKitアプリ全体で進捗が同期されます。 Machine Learning Academyコースには全4レッスンが含まれています。
このレッスンの一部はまだ翻訳されておらず、英語で表示されています。
Two Alternatives to Resampling
Resampling (SMOTE, undersampling) physically changes the training data. Two alternative approaches work directly with the original data: class weighting penalises misclassifying minority samples more heavily during training, and threshold moving adjusts the decision boundary after training. Both are simpler, faster, and avoid the information loss or synthetic-noise risks of resampling.
Class Weights: Penalise Minority Errors More
Most sklearn classifiers accept a class_weight parameter. Setting class_weight='balanced' automatically computes weights inversely proportional to class frequencies: weight[c] = n_samples / (n_classes * count[c]). Misclassifying a rare positive sample is then penalised much more than misclassifying a common negative sample, pushing the model to learn the minority class better.
from sklearn.linear_model import LogisticRegression
from sklearn.metrics import classification_report
from sklearn.preprocessing import StandardScaler
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
X, y = make_classification(n_samples=1000, weights=[0.95, 0.05], random_state=42)
X_train, X_test, y_train, y_test = train_test_split(X, y, stratify=y, random_state=42)
sc = StandardScaler()
X_tr = sc.fit_transform(X_train)
X_te = sc.transform(X_test)
# With balanced class weights
lr = LogisticRegression(class_weight='balanced').fit(X_tr, y_train)
print('--- class_weight=balanced ---')
print(classification_report(y_test, lr.predict(X_te)))Computing Balanced Weights Manually
You can also pass a dictionary of custom weights if you want finer control than 'balanced'. For example, if your business says a missed fraud is 20x more costly than a false alarm, set class_weight={0: 1, 1: 20}. This directly encodes the misclassification cost ratio into training.
from sklearn.linear_model import LogisticRegression
from sklearn.utils.class_weight import compute_class_weight
import numpy as np
# Compute balanced weights automatically
y_train = np.array([0] * 475 + [1] * 25)
classes = np.unique(y_train)
weights = compute_class_weight('balanced', classes=classes, y=y_train)
weight_dict = dict(zip(classes, weights))
print('Auto-balanced weights:', weight_dict)
# Custom: penalty 10x higher for missing positive
custom_weights = {0: 1, 1: 10}
print('Custom weights:', custom_weights)
lr = LogisticRegression(class_weight=custom_weights)
# lr.fit(X_train, y_train)Which Algorithms Support class_weight?
In scikit-learn, these estimators accept class_weight: LogisticRegression, LinearSVC, SVC, SGDClassifier, DecisionTreeClassifier, RandomForestClassifier. Gradient boosting models (XGBoost, LightGBM) use a scale_pos_weight parameter that plays the same role. Neural networks handle it through sample_weight in the loss function.
from sklearn.ensemble import RandomForestClassifier
from sklearn.tree import DecisionTreeClassifier
from sklearn.svm import SVC
from sklearn.linear_model import LogisticRegression
# All support class_weight='balanced'
models = [
LogisticRegression(class_weight='balanced'),
DecisionTreeClassifier(class_weight='balanced'),
RandomForestClassifier(class_weight='balanced'),
SVC(class_weight='balanced', probability=True)
]
print('All these models support class_weight:')
for m in models:
print(' ', m.__class__.__name__)Threshold Moving: Adjusting the Decision Boundary
Classifiers output a probability score; the default decision threshold is 0.5 — predict positive if proba >= 0.5. For imbalanced problems, lowering the threshold (e.g., to 0.3) increases recall (catches more positives) at the cost of more false positives. Raising it increases precision at the cost of missing more positives. Threshold moving is applied after training and does not require retraining the model.
from sklearn.linear_model import LogisticRegression
from sklearn.metrics import precision_score, recall_score, f1_score
from sklearn.preprocessing import StandardScaler
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
import numpy as np
X, y = make_classification(n_samples=1000, weights=[0.95, 0.05], random_state=42)
X_tr, X_te, y_tr, y_te = train_test_split(X, y, stratify=y, random_state=42)
sc = StandardScaler()
X_tr_s = sc.fit_transform(X_tr)
X_te_s = sc.transform(X_te)
lr = LogisticRegression(class_weight='balanced').fit(X_tr_s, y_tr)
proba = lr.predict_proba(X_te_s)[:, 1]
print(f'{'Threshold':>10} {'Precision':>10} {'Recall':>8} {'F1':>6}')
for t in [0.2, 0.3, 0.4, 0.5, 0.6]:
preds = (proba >= t).astype(int)
p = precision_score(y_te, preds, zero_division=0)
r = recall_score(y_te, preds)
f = f1_score(y_te, preds, zero_division=0)
print(f'{t:>10.1f} {p:>10.4f} {r:>8.4f} {f:>6.4f}')Finding the Optimal Threshold
Use the precision_recall_curve and roc_curve functions to sweep all possible thresholds and compute corresponding precision and recall. Then choose the threshold that maximises F1 (or any other business metric). This is more principled than guessing a threshold value.
from sklearn.metrics import precision_recall_curve, f1_score
import numpy as np
# proba and y_te from previous step
precisions, recalls, thresholds = precision_recall_curve(y_te, proba)
# F1 at each threshold
f1_scores = 2 * (precisions * recalls) / (precisions + recalls + 1e-8)
best_idx = np.argmax(f1_scores)
best_threshold = thresholds[best_idx]
best_f1 = f1_scores[best_idx]
print(f'Optimal threshold: {best_threshold:.4f}')
print(f'Best F1 at that threshold: {best_f1:.4f}')
# Apply the optimal threshold
y_pred_opt = (proba >= best_threshold).astype(int)
print('Minority class recall:', recall_score(y_te, y_pred_opt).round(4))class_weight vs Resampling: Trade-Offs
class_weight advantages: no data modification, no risk of overfitting to synthetic samples, works inside a standard sklearn Pipeline, faster. Resampling advantages: works with algorithms that do not support class_weight (e.g., some boosting variants), can help with very severe imbalance (>100:1) where class weighting alone is not enough. In practice, try class weighting first — it is simpler and often sufficient.
Threshold Moving With ROC Curve
The ROC curve shows the trade-off between true-positive rate (recall) and false-positive rate at every threshold. The Youden's J statistic (TPR - FPR) is maximised at the optimal threshold for balanced sensitivity and specificity. Use this when you want equal consideration of both error types.
from sklearn.metrics import roc_curve
import numpy as np
fpr, tpr, thresholds = roc_curve(y_te, proba)
# Youden's J: maximise TPR - FPR
j_scores = tpr - fpr
best_idx = np.argmax(j_scores)
optimal_threshold = thresholds[best_idx]
print(f'Optimal threshold (Youden J): {optimal_threshold:.4f}')
print(f'TPR: {tpr[best_idx]:.4f} FPR: {fpr[best_idx]:.4f}')
y_pred_youden = (proba >= optimal_threshold).astype(int)
from sklearn.metrics import classification_report
print(classification_report(y_te, y_pred_youden))Class Weights in XGBoost and LightGBM
XGBoost uses scale_pos_weight — the ratio of negative to positive samples in the training set — to upweight positive examples. For 95:5 imbalance, set scale_pos_weight=19 (95/5). LightGBM uses is_unbalance=True or scale_pos_weight similarly. Both are equivalent to sklearn's class_weight='balanced' but use a different parameter name convention.
import xgboost as xgb
import numpy as np
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
from sklearn.metrics import roc_auc_score
X, y = make_classification(n_samples=1000, weights=[0.95, 0.05], random_state=42)
X_tr, X_te, y_tr, y_te = train_test_split(X, y, stratify=y, random_state=42)
neg, pos = np.bincount(y_tr)
scale = neg / pos
print(f'scale_pos_weight = {scale:.1f}')
clf = xgb.XGBClassifier(scale_pos_weight=scale, random_state=42, eval_metric='logloss')
clf.fit(X_tr, y_tr)
print('AUC:', roc_auc_score(y_te, clf.predict_proba(X_te)[:, 1]).round(4))Comparing All Imbalance Strategies
A systematic comparison across strategies on the same dataset and test set reveals which approach works best for your specific problem and algorithm. Run this comparison and report results in a table to justify your final strategy choice.
from imblearn.over_sampling import SMOTE
from imblearn.under_sampling import RandomUnderSampler
from imblearn.pipeline import Pipeline as ImbPipeline
from sklearn.linear_model import LogisticRegression
from sklearn.preprocessing import StandardScaler
from sklearn.metrics import roc_auc_score
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
import numpy as np
X, y = make_classification(n_samples=1000, weights=[0.95, 0.05], random_state=42)
X_tr, X_te, y_tr, y_te = train_test_split(X, y, stratify=y, random_state=0)
sc = StandardScaler()
X_tr_s = sc.fit_transform(X_tr)
X_te_s = sc.transform(X_te)
strategies = [
('Baseline', None, {}),
('class_weight', None, {'class_weight': 'balanced'}),
('RUS', RandomUnderSampler(random_state=0), {}),
('SMOTE', SMOTE(random_state=0), {})
]
for name, sampler, kwargs in strategies:
Xr, yr = (sampler.fit_resample(X_tr_s, y_tr) if sampler else (X_tr_s, y_tr))
lr = LogisticRegression(**kwargs).fit(Xr, yr)
auc = roc_auc_score(y_te, lr.predict_proba(X_te_s)[:, 1])
print(f'{name:15s}: AUC={auc:.4f}')Calibrating Probability Outputs
Class weights and threshold moving both rely on the model's probability scores. If the classifier is poorly calibrated (e.g., SVM with probability=True using Platt scaling), threshold tuning may not work well. Use sklearn.calibration.CalibratedClassifierCV or compare calibration curves with calibration_curve to ensure probabilities are reliable before threshold optimisation.
Quick Check
Test your understanding of class weights and threshold moving from this lesson.
Lesson Recap
In this lesson you learned: class_weight='balanced' penalises minority-class misclassifications proportionally and works without modifying training data, threshold moving adjusts the decision boundary post-training to shift the recall-precision trade-off, and the optimal threshold can be found by maximising F1 over the precision-recall curve or Youden's J over the ROC curve. Next up we save trained models with joblib and pickle for production deployment.
よくある質問
「クラス重みとしきい値の移動」レッスンは無料ですか？
はい。「クラス重みとしきい値の移動」の完全なテキストはこのウェブで無料で読めます。インタラクティブに演習し（組み込みコードエディタと24時間対応のAIチューター）、Machine Learning Academyコースの残りをアンロックするには、CoddyKit PROにアップグレードしてください。 Machine Learning Academyコースには全4レッスンが含まれています。
「クラス重みとしきい値の移動」で何を学びますか？
sklearnの分類器でclass_weight='balanced'を設定し、確率出力に対する判定しきい値を移動して、まれな事象の再現率をさらに最適化します。 ブラウザで直接実行するハンズオンコードでMachine Learning Academyを演習し、24時間対応のAIチューターがレッスンを進める中での質問に答えます。
Machine Learning Academyを始めるのに経験は必要ですか？
事前経験は必要ありません。CoddyKitのMachine Learning Academyは初級者から上級者向けに構成されているため、ここから始めるか最初から始めて、自分のペースで進むことができます。 これはレッスン4/4です。
「クラス重みとしきい値の移動」レッスンにはどのくらい時間がかかりますか？
ほとんどのCoddyKitレッスンは約5～10分かかります。各レッスンはコンパクトでインタラクティブなので、着実に進歩し、ウェブとアプリ全体で正確に前回の場所から再開できます。
このMachine Learning Academyレッスンでコードを書いて実行できますか？
はい。すべてのMachine Learning Academyレッスンに組み込みコードエディタが含まれているため、ブラウザでリアルコードを書いて実行し、即座のAIフィードバックを取得できます。ローカル設定は不要です。