diff --git a/apt/security/__init__.py b/apt/security/__init__.py
new file mode 100644
index 0000000..e69de29
diff --git a/apt/security/shamir.py b/apt/security/shamir.py
new file mode 100644
index 0000000..4aeae0d
--- /dev/null
+++ b/apt/security/shamir.py
@@ -0,0 +1,106 @@
+import random
+
+def mod_inverse(a, prime):
+    """
+    Compute the modular inverse of a modulo 'prime'.
+    """
+    return pow(a, -1, prime)
+
+def polynom(x, coefficients, prime):
+    """
+    Evaluate a polynomial (coeff_0 + coeff_1*x + ...) at x, modulo 'prime'.
+    """
+    result = 0
+    for coefficient in reversed(coefficients):
+        result = (result * x + coefficient) % prime
+    return result
+
+def generate_shares(secret, n, k, prime=2**127 - 1):
+    """
+    Split 'secret' (an integer) into 'n' shares with threshold 'k'.
+    Returns a list of (x, y) tuples.
+
+    :param secret: The secret to be split (integer).
+    :param n: The total number of shares to generate.
+    :param k: The minimum number of shares needed to reconstruct the secret.
+    :param prime: A large prime number > any secret value to use in modular arithmetic.
+    """
+    # Generate k-1 random coefficients for the polynomial.
+    coefficients = [secret] + [random.randrange(0, prime) for _ in range(k - 1)]
+    shares = []
+    for i in range(1, n + 1):
+        x = i
+        y = polynom(x, coefficients, prime)
+        shares.append((x, y))
+    return shares
+
+def reconstruct_secret(shares, prime=2**127 - 1):
+    """
+    Reconstruct the secret from a list of (x, y) shares using Lagrange interpolation.
+    """
+    secret = 0
+    for j, (xj, yj) in enumerate(shares):
+        numerator = 1
+        denominator = 1
+        for m, (xm, _) in enumerate(shares):
+            if m != j:
+                numerator = (numerator * (-xm)) % prime
+                denominator = (denominator * (xj - xm)) % prime
+        # Multiply the partial result by the modular inverse of 'denominator'
+        lagrange_coeff = numerator * mod_inverse(denominator, prime)
+        secret = (secret + yj * lagrange_coeff) % prime
+    return secret
+
+class ShamirSecretSharingWrapper:
+    """
+    A simple wrapper class that applies Shamir's Secret Sharing to pandas DataFrames.
+    Splits integer (or integer-scaled float) values into shares, and reconstructs them.
+    """
+    def __init__(self, n_shares=5, threshold=3, prime=2**127 - 1):
+        """
+        :param n_shares: Total number of shares per secret.
+        :param threshold: Minimum number of shares needed to reconstruct.
+        :param prime: A large prime for modular arithmetic.
+        """
+        self.n_shares = n_shares
+        self.threshold = threshold
+        self.prime = prime
+
+    def split_value(self, value):
+        """
+        Convert 'value' to int and split into shares.
+        If you're dealing with floats, you should multiply by a scale factor 
+        externally before calling this method.
+        """
+        secret = int(value)
+        return generate_shares(secret, self.n_shares, self.threshold, self.prime)
+
+    def split_dataframe(self, df, sensitive_columns):
+        """
+        For each column in 'sensitive_columns', split each cell's value into shares.
+        Returns a dictionary mapping each column to a DataFrame of shares 
+        (each row corresponds to a record, each column is one share).
+        """
+        import pandas as pd
+        shares_dict = {}
+        for col in sensitive_columns:
+            col_shares = []
+            for val in df[col]:
+                # Generate shares for the value
+                share_list = self.split_value(val)
+                # Store only the y-part of each (x, y) share (assuming x=1..n_shares).
+                col_shares.append([s[1] for s in share_list])
+            # Create a DataFrame for these shares
+            col_shares_df = pd.DataFrame(
+                col_shares,
+                columns=[f"{col}_share_{i}" for i in range(1, self.n_shares + 1)]
+            )
+            shares_dict[col] = col_shares_df
+        return shares_dict
+
+    def reconstruct_value(self, shares_subset):
+        """
+        Reconstruct a secret from a subset of shares (list of (x, y) tuples).
+        The subset must meet or exceed the threshold.
+        """
+        return reconstruct_secret(shares_subset, self.prime)
\ No newline at end of file
diff --git a/apt/security/sharer.py b/apt/security/sharer.py
new file mode 100644
index 0000000..7c9ab6e
--- /dev/null
+++ b/apt/security/sharer.py
@@ -0,0 +1,142 @@
+import pandas as pd
+import numpy as np
+from apt.security.shamir import ShamirSecretSharingWrapper
+
+# --- Custom NCP Functions ---
+
+def calc_ncp_numeric(original_series: pd.Series, generalized_series: pd.Series) -> float:
+    """
+    Compute the NCP for a numerical feature as the ratio of the generalized range to the original range.
+    """
+    orig_min, orig_max = original_series.min(), original_series.max()
+    gen_min, gen_max = generalized_series.min(), generalized_series.max()
+    total_range = orig_max - orig_min
+    if total_range == 0:
+        return 0.0
+    gen_range = gen_max - gen_min
+    return gen_range / total_range
+
+def calc_ncp_categorical(original_series: pd.Series, generalized_series: pd.Series) -> float:
+    """
+    Compute the NCP for a categorical feature as one minus the relative frequency of the most common category.
+    """
+    counts = generalized_series.value_counts(normalize=True)
+    if counts.empty:
+        return 0.0
+    return 1 - counts.iloc[0]
+
+def calculate_ncp_feature(original_df: pd.DataFrame, generalized_df: pd.DataFrame, feature: str) -> float:
+    """
+    Compute the NCP for a single feature by selecting the appropriate function based on the feature type.
+    """
+    if pd.api.types.is_numeric_dtype(original_df[feature]):
+        return calc_ncp_numeric(original_df[feature], generalized_df[feature])
+    else:
+        return calc_ncp_categorical(original_df[feature], generalized_df[feature])
+
+# --- Main Function to Evaluate and Select Best Secret-Sharing Candidate Feature ---
+
+def select_best_sharing_feature(minimized_df: pd.DataFrame, 
+                                original_df: pd.DataFrame,
+                                untouched_features: list, 
+                                model, 
+                                y_test,
+                                threshold: int = 3, 
+                                scale_factor: int = 100,
+                                min_acceptable_accuracy: float = None):
+    """
+    For each untouched feature in the minimized dataset, apply Shamir secret sharing (using the given scale factor
+    and threshold), reconstruct that feature, and evaluate the model's accuracy when that feature is replaced by
+    its reconstruction.
+
+    Untouched features are processed in order from highest to lowest sensitivity (as measured by NCP).
+    
+    Parameters:
+      minimized_df: DataFrame containing the minimized (generalized) data.
+      original_df: DataFrame containing the original training data (used for computing NCP).
+      untouched_features: List of feature names left "untouched" during minimization.
+      model: A trained model with a score() method (e.g., model1).
+      y_test: Ground truth labels for evaluation.
+      threshold: Minimum number of shares required for reconstruction.
+      scale_factor: Factor to scale float values to integers.
+      min_acceptable_accuracy: The minimum acceptable model accuracy. 
+                               If provided, the function will stop on the first feature 
+                               whose reconstructed dataset achieves at least this accuracy.
+    
+    Returns:
+      A tuple (best_feature, best_accuracy, best_reconstructed_df) where:
+        - best_feature: The feature selected for secret sharing.
+        - best_accuracy: The model's accuracy on the dataset with that feature reconstructed.
+        - best_reconstructed_df: The corresponding DataFrame.
+    """
+
+    # Initialize the Shamir wrapper.
+    sss = ShamirSecretSharingWrapper(n_shares=5, threshold=threshold, scale_factor=scale_factor)
+
+    # Compute baseline accuracy on the minimized data.
+    baseline_acc = model.score(minimized_df, y_test)
+    print(f"[Debug] Baseline model accuracy on minimized data: {baseline_acc:.4f}")
+
+    # Compute sensitivity scores (NCP) for each untouched feature.
+    sensitivity_scores = {}
+    for feature in untouched_features:
+        if feature in original_df.columns and feature in minimized_df.columns:
+            ncp_val = calculate_ncp_feature(original_df, minimized_df, feature)
+            sensitivity_scores[feature] = ncp_val
+            print(f"[Debug] NCP for feature '{feature}' = {ncp_val:.4f}")
+        else:
+            print(f"Warning: Feature '{feature}' not found in both DataFrames.")
+
+    # Sort features by descending sensitivity (higher NCP means more sensitive).
+    sorted_features = sorted(sensitivity_scores, key=sensitivity_scores.get, reverse=True)
+    print(f"[Debug] Sorted untouched features by descending NCP: {sorted_features}")
+
+    best_feature = None
+    best_accuracy = -1
+    best_reconstructed_df = None
+
+    def reconstruct_column(shares_df, threshold=threshold):
+        """Reconstruct a column from its shares DataFrame."""
+        reconstructed = []
+        for idx, row in shares_df.iterrows():
+            share_values = row.tolist()
+            # Re-create share tuples: assume x = 1, 2, ..., n_shares.
+            share_tuples = [(i + 1, share_values[i]) for i in range(len(share_values))]
+            recon_val = sss.reconstruct_value(share_tuples[:threshold])
+            reconstructed.append(recon_val)
+        return reconstructed
+
+    # Iterate over candidate features in descending NCP order.
+    for feature in sorted_features:
+        current_ncp = sensitivity_scores[feature]
+        print(f"\n[Debug] Trying secret sharing for feature '{feature}' (NCP={current_ncp:.4f})")
+        shares_dict = sss.split_dataframe(minimized_df, [feature])
+        reconstructed_feature = reconstruct_column(shares_dict[feature], threshold)
+        
+        # Create a new DataFrame with this feature replaced by its reconstructed values.
+        rec_df = minimized_df.copy()
+        rec_df[feature] = reconstructed_feature
+
+        # Evaluate the model on the reconstructed dataset.
+        acc = model.score(rec_df, y_test)
+        print(f"[Debug] Model accuracy with feature '{feature}' reconstructed: {acc:.4f}")
+
+        # Check if it meets or exceeds the best so far
+        if acc > best_accuracy:
+            print(f"[Debug] Feature '{feature}' yields new best accuracy: {acc:.4f} (old best was {best_accuracy:.4f})")
+            best_accuracy = acc
+            best_feature = feature
+            best_reconstructed_df = rec_df.copy()
+
+        # If a minimum acceptable accuracy is set, choose the first feature meeting it.
+        if min_acceptable_accuracy is not None:
+            if acc >= min_acceptable_accuracy:
+                print(f"[Debug] Feature '{feature}' meets the minimum acceptable accuracy of {min_acceptable_accuracy:.4f}. Stopping.")
+                break
+
+    # Calculate relative accuracy change from baseline to the best found.
+    rel_change = (best_accuracy - baseline_acc) / baseline_acc * 100 if baseline_acc != 0 else 0
+    print(f"\n[Debug] Final selection -> Feature: {best_feature}, Accuracy: {best_accuracy:.4f}")
+    print(f"[Debug] Relative accuracy change: {rel_change:.2f}% from baseline {baseline_acc:.4f}")
+
+    return best_feature, best_accuracy, best_reconstructed_df
\ No newline at end of file
diff --git a/notebooks/secret_sharing_minimization_nursery.ipynb b/notebooks/secret_sharing_minimization_nursery.ipynb
new file mode 100644
index 0000000..b1692e3
--- /dev/null
+++ b/notebooks/secret_sharing_minimization_nursery.ipynb
@@ -0,0 +1,185 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Data Minimization: Inference Black-Box Attack on the Nursery Dataset"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Load data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Add the directory containing shamir.py to the PYTHONPATH if needed.\n",
+    "import os\n",
+    "import sys\n",
+    "sys.path.insert(0, os.path.abspath('.'))\n",
+    "\n",
+    "# Import the secret sharing module\n",
+    "from shamir import ShamirSecretSharingWrapper\n",
+    "\n",
+    "# Import your minimizer and dataset utilities.\n",
+    "# (Assuming GeneralizeToRepresentative is defined in your minimizer module.)\n",
+    "from apt.minimization import GeneralizeToRepresentative\n",
+    "from apt.utils.dataset_utils import get_nursery_dataset_pd\n",
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "\n",
+    "# ---------------------------\n",
+    "# Load the Nursery Dataset\n",
+    "# ---------------------------\n",
+    "(x_train, y_train), (x_test, y_test) = get_nursery_dataset_pd(transform_social=True)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Train: XGBoost Model"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from apt.utils.datasets import ArrayDataset\n",
+    "from apt.utils.models import SklearnClassifier, ModelOutputType\n",
+    "from xgboost import XGBClassifier\n",
+    "\n",
+    "# Instantiate the XGBoost classifier.\n",
+    "# Note: We disable the use of the label encoder and specify a log-loss evaluation metric.\n",
+    "base_est = XGBClassifier(use_label_encoder=False, eval_metric='logloss')\n",
+    "\n",
+    "# Wrap the model using SklearnClassifier and specify that it outputs probabilities.\n",
+    "model = SklearnClassifier(base_est, ModelOutputType.CLASSIFIER_PROBABILITIES)\n",
+    "\n",
+    "# Fit the model using your training data.\n",
+    "model.fit(ArrayDataset(x_train, y_train))\n",
+    "\n",
+    "# Evaluate the model's accuracy on test data.\n",
+    "print('Base model accuracy:', model.score(ArrayDataset(x_test, y_test)))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Train: XGBoost Minimization"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from apt.minimization import GeneralizeToRepresentative\n",
+    "from sklearn.model_selection import train_test_split\n",
+    "\n",
+    "# Use all columns for minimization in this example.\n",
+    "minimizer = GeneralizeToRepresentative(model)\n",
+    "X_generalizer_train, x_test, y_generalizer_train, y_test = train_test_split(x_test, y_test, stratify=y_test,\n",
+    "                                                                test_size = 0.4, random_state = 38)\n",
+    "x_train_predictions = model.predict(ArrayDataset(X_generalizer_train))\n",
+    "if x_train_predictions.shape[1] > 1:\n",
+    "    x_train_predictions = np.argmax(x_train_predictions, axis=1)\n",
+    "minimizer.fit(dataset=ArrayDataset(X_generalizer_train, x_train_predictions))\n",
+    "transformed = minimizer.transform(dataset=ArrayDataset(x_test))\n",
+    "\n",
+    "print('Accuracy on minimized data: ', model.score(ArrayDataset(transformed, y_test)))\n",
+    "print('generalizations: ',minimizer.generalizations_)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Shamir Secret Sharing: Appplication"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Choose sensitive features (for example, the first two columns)\n",
+    "sensitive_features = [x_train.columns[0], x_train.columns[1]]\n",
+    "sss = ShamirSecretSharingWrapper(n_shares=5, threshold=3)\n",
+    "shares = sss.split_dataframe(generalized_data, sensitive_features)\n",
+    "\n",
+    "# Display the secret shares for one sensitive column.\n",
+    "print(\"Secret Shares for sensitive feature:\", sensitive_features[0])\n",
+    "print(shares[sensitive_features[0]].head())\n",
+    "\n",
+    "# Demonstrate reconstruction: Reconstruct the secret for the first record.\n",
+    "first_record_shares = shares[sensitive_features[0]].iloc[0].tolist()\n",
+    "# Re-create share tuples with known x-indices.\n",
+    "share_tuples = [(i+1, first_record_shares[i]) for i in range(5)]\n",
+    "reconstructed_value = sss.reconstruct_value(share_tuples[:3])  # using any 3 shares\n",
+    "print(\"Reconstructed value for first record, {}: {}\".format(sensitive_features[0], reconstructed_value))\n",
+    "\n",
+    "# ---------------------------\n",
+    "# Evaluate Model Accuracy\n",
+    "# ---------------------------\n",
+    "# Compute accuracy on the generalized (minimized) data.\n",
+    "if minimizer.encoder:\n",
+    "    data_for_scoring = minimizer.encoder.transform(generalized_data)\n",
+    "else:\n",
+    "    data_for_scoring = generalized_data\n",
+    "model_accuracy = minimizer.estimator.score(data_for_scoring, y_test)\n",
+    "print(\"Model accuracy on minimized data:\", model_accuracy)\n",
+    "\n",
+    "# ---------------------------\n",
+    "# Membership Inference Attack Metrics using IBM ART\n",
+    "# ---------------------------\n",
+    "# Install the ART library if not already installed:\n",
+    "# !pip install adversarial-robustness-toolbox\n",
+    "\n",
+    "from art.attacks.inference.membership_inference import MembershipInferenceBlackBox\n",
+    "from art.estimators.classification import SklearnClassifier\n",
+    "\n",
+    "# Wrap the underlying scikit-learn classifier used by your minimizer.\n",
+    "# (Assuming minimizer.estimator._model holds the trained sklearn model.)\n",
+    "art_classifier = SklearnClassifier(model=minimizer.estimator._model)\n",
+    "\n",
+    "# Create a membership inference attack (using a black-box approach with a random forest attack model).\n",
+    "attack = MembershipInferenceBlackBox(art_classifier, attack_model_type='rf')\n",
+    "\n",
+    "# Prepare membership data:\n",
+    "# Label training samples as members (1) and test samples as non-members (0).\n",
+    "membership_data = pd.concat([x_train, x_test])\n",
+    "membership_labels = np.concatenate([np.ones(len(x_train)), np.zeros(len(x_test))])\n",
+    "\n",
+    "# Run the attack (the infer method returns membership probabilities).\n",
+    "attack_memberships = attack.infer(membership_data.to_numpy())\n",
+    "\n",
+    "# Threshold the probabilities at 0.5 to decide membership.\n",
+    "attack_pred = (attack_memberships > 0.5).astype(int)\n",
+    "\n",
+    "from sklearn.metrics import accuracy_score\n",
+    "attack_accuracy = accuracy_score(membership_labels, attack_pred)\n",
+    "print(\"Membership inference attack accuracy:\", attack_accuracy)"
+   ]
+  }
+ ],
+ "metadata": {
+  "language_info": {
+   "name": "python"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/requirements.txt b/requirements.txt
index 91bf617..4fada98 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -5,7 +5,7 @@ scikit-learn>=0.22.2,<=1.1.3
 torch>=1.8.0
 tqdm>=4.64.1
 matplotlib>=3.7.0
-adversarial-robustness-toolbox>=1.11.0
+adversarial-robustness-toolbox==1.19.1
 
 # testing
 pytest==5.4.2