diff --git a/example_config.yml b/example_config.yml
index 732deda..20445f3 100644
--- a/example_config.yml
+++ b/example_config.yml
@@ -6,7 +6,7 @@ dataset:
 
 solver:
   - PGD[prox=prox_isotonic]
-  - sortedl1
+  - sortedl1[cd_type=permuted]
 
 # note: use more repetitions to have quantiles on the plot
 n-repetitions: 1
diff --git a/solvers/sortedl1.py b/solvers/sortedl1.py
index 9e77e7f..ed5f326 100644
--- a/solvers/sortedl1.py
+++ b/solvers/sortedl1.py
@@ -13,7 +13,6 @@ class Solver(BaseSolver):
     requirements = ["pip::sortedl1"]
     parameters = {
         "cd_type": ["cyclical", "permuted"],
-        "update_clusters": [True, False],
     }
 
     references = [
@@ -36,7 +35,6 @@ def set_objective(self, X, y, alphas, fit_intercept):
             fit_intercept=self.fit_intercept,
             max_iter=1_000_000,
             hybrid_cd_type=self.cd_type,
-            update_clusters=self.update_clusters,
         )
 
     def run(self, tol):