diff --git a/examples/example_market_db/example_db.py b/examples/example_market_db/example_db.py
index 4a35c8d..32aeb07 100644
--- a/examples/example_market_db/example_db.py
+++ b/examples/example_market_db/example_db.py
@@ -117,7 +117,7 @@ def test_market():
     print("Available ids:", curr_inds)
 
 
-def test_search_sementics():
+def test_search_semantics():
     easy_market = EasyMarket()
     print("Total Item:", len(easy_market))
 
@@ -175,4 +175,4 @@ if __name__ == "__main__":
     prepare_learnware(learnware_num)
     test_market()
     test_stat_search()
-    test_search_sementics()
+    test_search_semantics()
diff --git a/learnware/market/easy.py b/learnware/market/easy.py
index 42827b2..1748bce 100644
--- a/learnware/market/easy.py
+++ b/learnware/market/easy.py
@@ -244,7 +244,7 @@ class EasyMarket(BaseMarket):
         learnware_num = len(learnware_list)
         if learnware_num == 0:
             return [], []
-        if learnware_num <  search_num:
+        if learnware_num < search_num:
             logger.warning("Available Learnware num less than search_num")
             search_num = learnware_num
 
diff --git a/learnware/specification/base.py b/learnware/specification/base.py
index e5042b4..d9e208a 100644
--- a/learnware/specification/base.py
+++ b/learnware/specification/base.py
@@ -6,7 +6,12 @@ class BaseStatSpecification:
     def __init__(self):
         pass
 
-    def generate_stat_spec_from_data(self, X: np.ndarray):
+    def generate_stat_spec_from_data(self, **kwargs):
+        """Construct reduced set from raw dataset using iterative optimization
+
+        - kwargs may include the feature, label and model
+        - kwargs also can include hyperparameter for specifaction generation
+        """
         raise NotImplementedError("generate_stat_spec_from_data is not implemented")
 
     def save(self, filepath: str):