You can achieve this without changing the source code. Instead, you can tweak your input data by duplicating the features you wish to increase the weight for. If you have a feature appearing twice, the trees will use it twice to split your data, which in practice will mean the same as having doubled the weight of the feature.
In addition to this, you can also choose to reduce the amount of features used by your isolation forest in each tree. This is controlled by the argument max_features
. The default value of 1.0 ensures that every feature will be used for each tree. By reducing it, more trees will be trained without the less frequent features in your input.
Illustration
Load Data
from sklearn.ensemble import IsolationForest
import pandas as pd
from sklearn.datasets import load_iris
import matplotlib.pyplot as plt
data = load_iris()
X = data.data
df = pd.DataFrame(X, columns=data.feature_names)
Default settings
IF = IsolationForest()
IF.fit(df)
preds = IF.predict(df)
plt.scatter(df.iloc[:, 0], df.iloc[:, 1], c=preds)
plt.title("Default settings")
plt.xlabel("sepal length (cm)")
plt.ylabel("sepal width (cm)")
plt.show()

Weighted Settings
df1 = df.copy()
weight_feature = 10
for i in range(weight_feature):
df1["duplicated_" + str(i)] = df1["sepal length (cm)"]
IF1 = IsolationForest(max_features=0.3)
IF1.fit(df1)
preds1 = IF1.predict(df1)
plt.scatter(df.iloc[:, 0], df.iloc[:, 1], c=preds1)
plt.title("Weighted settings")
plt.xlabel("sepal length (cm)")
plt.ylabel("sepal width (cm)")
plt.show()

As you can see visually, the second option has used the X-axis more intensively to determine which are the outliers.