import torch import numpy as np from scipy.optimize import minimize from .Strategy import Strategy import torch.nn as nn class CertifiedRemoval(Strategy): """Implements Certified Removal for machine unlearning.""" def __init__(self, model, data, labels, removal_bound, epsilon): super().__init__() self.model = model self.data = data self.labels = labels self.removal_bound = removal_bound self.epsilon = epsilon def _run(self, model: nn.Module) -> nn.Module: """Runs the certified removal algorithm.""" # 1. Linear Model Creation # This is a simplification for demonstration purposes. In a real implementation, # you'd use more sophisticated methods to learn the parameters of the # 'removal' model based on the example being removed. def linear_model(x): return torch.dot(x, torch.tensor([1, 1])) # Simplified Linear Model # 2. Optimization for Parameter Adjustment # Optimize the parameter values to minimize the loss while staying within bounds. original_params = torch.tensor([0.0, 0.0]) # Initial parameters for linear model def objective_function(params): new_model = linear_model #use same function as defined above return torch.sum(((new_model(self.data[0]) - self.labels)**2)) result = minimize(objective_function, original_params, method='L-BFGS-B', bounds=[(-self.removal_bound, self.removal_bound)], options={'maxiter': 100}) if not result.success: print("Warning: Optimization failed!") print(result.message) return model #Return original if optimization fails new_params = result.x # 3. New Model Creation new_model = lambda x: torch.dot(x, new_params) return new_model if __name__ == '__main__': # Example Usage - Synthetic Data for Demonstration np.random.seed(42) # For reproducibility n_samples = 100 X = np.random.randn(n_samples, 2) y = (X[:, 0] + X[:, 1] > 0).astype(int) # Create a simple linear model for demonstration model = nn.Linear(2, 1) # Simple linear classifier - PyTorch Version optimizer = torch.optim.SGD(model.parameters(), lr=0.01) # Optimizer for training the linear model # Train a Linear Model for _ in range(100): #training loop optimizer.zero_grad() predictions = model(X) loss = torch.sum((predictions - y)**2) loss.backward() optimizer.step() # Define parameters for Certified Removal removal_bound = 1.0 epsilon = 0.1 # Create the CertifiedRemoval object with the trained model, data and labels certified_removal_obj = CertifiedRemoval(model, X, y, removal_bound, epsilon) # Run Certified Removal new_model = certified_removal_obj.apply(model)