Tree-based Models

Concrete-ML provides several of the most popular classification and regression tree models that can be found in Scikit-learn:
In addition to support for scikit-learn, Concrete-ML also supports XGBoost 's XGBClassifier:


Here's an example of how to use this model in FHE on a popular data-set using some of scikit-learn's pre-processing tools. A more complete example can be found in the XGBClassifier notebook.
from sklearn.datasets import load_breast_cancer
from sklearn.decomposition import PCA
from sklearn.model_selection import GridSearchCV, train_test_split
from sklearn.pipeline import Pipeline
from sklearn.preprocessing import StandardScaler
from import XGBClassifier
# Get data-set and split into train and test
X, y = load_breast_cancer(return_X_y=True)
# Split the train and test set
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)
# Define our model
model = XGBClassifier(n_jobs=1, n_bits=3)
# Define the pipeline
# We will normalize the data and apply a PCA before fitting the model
pipeline = Pipeline(
[("standard_scaler", StandardScaler()), ("pca", PCA(random_state=0)), ("model", model)]
# Define the parameters to tune
param_grid = {
"pca__n_components": [2, 5, 10, 15],
"model__max_depth": [2, 3, 5],
"model__n_estimators": [5, 10, 20],
# Instantiate the grid search with 5-fold cross validation on all available cores:
grid = GridSearchCV(pipeline, param_grid, cv=5, n_jobs=-1, scoring="accuracy")
# Launch the grid search, y_train)
# Print the best parameters found
print(f"Best parameters found: {grid.best_params_}")
# Output:
# Best parameters found: {'model__max_depth': 5, 'model__n_estimators': 10, 'pca__n_components': 5}
# Currently we only focus on model inference in FHE
# The data transformation will be done in clear (client machine)
# while the model inference will be done in FHE on a server.
# The pipeline can be split into 2 parts:
# 1. data transformation
# 2. estimator
best_pipeline = grid.best_estimator_
data_transformation_pipeline = best_pipeline[:-1]
model = best_pipeline[-1]
# Transform test set
X_train_transformed = data_transformation_pipeline.transform(X_train)
X_test_transformed = data_transformation_pipeline.transform(X_test)
# Evaluate the model on the test set in clear
y_pred_clear = model.predict(X_test_transformed)
print(f"Test accuracy in clear: {(y_pred_clear == y_test).mean():0.2f}")
# In the output, the Test accuracy in clear should be > 0.9
# Compile the model to FHE
# Perform the inference in FHE
# Warning: this will take a while. It is recommended to run this with a very small batch of
# example first (e.g. N_TEST_FHE = 1)
# Note that here the encryption and decryption is done behind the scene.
y_pred_fhe = model.predict(X_test_transformed[:N_TEST_FHE], execute_in_fhe=True)
# Assert that FHE predictions are the same as the clear predictions
print(f"{(y_pred_fhe == y_pred_clear[:N_TEST_FHE]).sum()} "
f"examples over {N_TEST_FHE} have a FHE inference equal to the clear inference.")
# Output:
# 1 examples over 1 have a FHE inference equal to the clear inference
In a similar example, the decision boundaries of the Concrete-ML model can be plotted, and, then, compared to the results of the classical XGBoost model executed in the clear. A 6-bit model is shown in order to illustrate the impact of quantization on classification. Similar plots can be found in the Classifier Comparison notebook.
Comparison of clasification decision boundaries between FHE and plaintext models

Quantization parameters

This graph above shows that, when using a sufficiently high bit-width, quantization has little impact on the decision boundaries of the Concrete-ML FHE decision tree models. As the quantization is done individually on each input feature, the impact of quantization is strongly reduced, and, thus, FHE tree-based models reach similar accuracy as their floating point equivalents. Using 6 bits for quantization makes the Concrete-ML model reach or exceed the floating point accuracy. The number of bits for quantization can be adjusted through the n_bits parameter.
When n_bits is set low, the quantization process may sometimes create some artifacts that could lead to a decrease in performance, but the execution speed in FHE decreases. In this way, it is possible to adjust the accuracy/speed trade-off, and some accuracy can be recovered by increasing the n_estimators.
The following graph shows that using 5-6 bits of quantization is usually sufficient to reach the performance of a non-quantized XGBoost model on floating point data. The metrics plotted are accuracy and F1-score on the spambase data-set.
XGBoost n_bits comparison