diff --git a/src/quocslib/optimizationalgorithms/ADAlgorithm.py b/src/quocslib/optimizationalgorithms/ADAlgorithm.py
index 6be52c4..00ec36e 100644
--- a/src/quocslib/optimizationalgorithms/ADAlgorithm.py
+++ b/src/quocslib/optimizationalgorithms/ADAlgorithm.py
@@ -149,7 +149,9 @@ def inner_run(self):
         initial_variation = random_variation * self.controls.get_sigma_variation()
         # Define the initial
         init_xx = self.controls.get_mean_value() + initial_variation
-
+        # Initialize the best xx vector for this SI
+        self.best_xx = self.controls.get_mean_value().copy()
+        
         def get_gradient(x):
             return np.array(jax.jit(jax.grad(self.get_gradient))(x))