diff --git a/Experiments/configurations/eiv_california.json b/Experiments/configurations/eiv_california.json
index 29a71622d99299d2c7ccde4f148b560de52418ee..4786d5b03d3445dda8a567d74e4f1427390bed2a 100644
--- a/Experiments/configurations/eiv_california.json
+++ b/Experiments/configurations/eiv_california.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.1,
 	"lr_update": 20,
-	"epoch_offset": 10,
+	"std_y_update_points": 10,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_concrete.json b/Experiments/configurations/eiv_concrete.json
index 11121c144b429ad2f970aa815f2a4e7fed8a893a..0e234346f6dda090daacb9aebf33f8c3f666081c 100644
--- a/Experiments/configurations/eiv_concrete.json
+++ b/Experiments/configurations/eiv_concrete.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 20,
-	"epoch_offset": 10,
+	"std_y_update_points": 10,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_energy.json b/Experiments/configurations/eiv_energy.json
index bca6774dd7b4ce71ca78b487246d6a5e7f4b76f3..f13ab1b52417aa7ed20c4db9d75a0c653ff0b321 100644
--- a/Experiments/configurations/eiv_energy.json
+++ b/Experiments/configurations/eiv_energy.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 100,
-	"epoch_offset": 100,
+	"std_y_update_points": 100,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_kin8nm.json b/Experiments/configurations/eiv_kin8nm.json
index fa3718a096e417c2ab456a8589009d0052ae6670..df2e4bafbee99aca95dcd36f8f67097d3a6ce3b5 100644
--- a/Experiments/configurations/eiv_kin8nm.json
+++ b/Experiments/configurations/eiv_kin8nm.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 20,
-	"epoch_offset": 19,
+	"std_y_update_points": 19,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_msd.json b/Experiments/configurations/eiv_msd.json
index 1c2527630dac6172c9271ee230b5c34a2abfd71f..a738f2e8bf034e173f60b17e5cd6d2f7d6fdb856 100644
--- a/Experiments/configurations/eiv_msd.json
+++ b/Experiments/configurations/eiv_msd.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 4,
-	"epoch_offset": 4,
+	"std_y_update_points": 4,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_naval.json b/Experiments/configurations/eiv_naval.json
index 3358831d627188d5c2b93ceaa748b77de893c23d..092f4f822abf0e9c677affa8ae275e46309435b8 100644
--- a/Experiments/configurations/eiv_naval.json
+++ b/Experiments/configurations/eiv_naval.json
@@ -9,7 +9,7 @@
         "report_point": 5,
         "p": 0.2,
         "lr_update": 20,
-        "epoch_offset": 20,
+        "std_y_update_points": 20,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
         "init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_power.json b/Experiments/configurations/eiv_power.json
index 842f6e2662bef07696de1eb5f041e677b586dcd6..ab5649f61de1ea2214249b8a07e25cd5b2adea9e 100644
--- a/Experiments/configurations/eiv_power.json
+++ b/Experiments/configurations/eiv_power.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 10,
-	"epoch_offset": 15,
+	"std_y_update_points": 15,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_protein.json b/Experiments/configurations/eiv_protein.json
index 97f5946d431d04bc83c71904846152160fa0c7d7..9623799e3d8b85b2f568987afb4d406fbb7fe45c 100644
--- a/Experiments/configurations/eiv_protein.json
+++ b/Experiments/configurations/eiv_protein.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 10,
-	"epoch_offset": 10,
+	"std_y_update_points": 10,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_wine.json b/Experiments/configurations/eiv_wine.json
index 0b40a61272719cee6afc839f171103c54a830af8..f0beaf490846c2281a477f627f05c98b18cfa7f3 100644
--- a/Experiments/configurations/eiv_wine.json
+++ b/Experiments/configurations/eiv_wine.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 30,
-	"epoch_offset": 50,
+	"std_y_update_points": 50,
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/eiv_yacht.json b/Experiments/configurations/eiv_yacht.json
index c668113462816474eca51186853bbc241ca3160d..f95841b1a8074294a5d1ba0b921c8deee0dd5d4f 100644
--- a/Experiments/configurations/eiv_yacht.json
+++ b/Experiments/configurations/eiv_yacht.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 200,
-	"epoch_offset": 20,
+	"std_y_update_points": [20,20],
 	"eiv_prediction_number_of_draws": 100,
 	"eiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_california.json b/Experiments/configurations/noneiv_california.json
index 5005b43d8272c22893903a8a6c7494edeed4e554..7c8f4683aaf7bd6411bb6eaf336c85b39dbe8a15 100644
--- a/Experiments/configurations/noneiv_california.json
+++ b/Experiments/configurations/noneiv_california.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.1,
 	"lr_update": 20,
-	"epoch_offset": 0 ,
+	"std_y_update_points": 0 ,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_concrete.json b/Experiments/configurations/noneiv_concrete.json
index 66552b7193675eda193479ff9909494fc2bc2133..15e28c53a67064987c267f932733a09d00698c43 100644
--- a/Experiments/configurations/noneiv_concrete.json
+++ b/Experiments/configurations/noneiv_concrete.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 20,
-	"epoch_offset": 10,
+	"std_y_update_points": 10,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_energy.json b/Experiments/configurations/noneiv_energy.json
index 74eb45c721793e94f0efbb4d67a3f4acaa05e8da..18c068ea7a9cb96f1075a522ae3f3ad6552bacac 100644
--- a/Experiments/configurations/noneiv_energy.json
+++ b/Experiments/configurations/noneiv_energy.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 100,
-	"epoch_offset": 100,
+	"std_y_update_points": 100,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_kin8nm.json b/Experiments/configurations/noneiv_kin8nm.json
index 22615f61b00cf2b06c6e5fbc0051f3c86e8f92cb..8ecf817149b1a37dd9a4ab5c44fd2700795fbcde 100644
--- a/Experiments/configurations/noneiv_kin8nm.json
+++ b/Experiments/configurations/noneiv_kin8nm.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 20,
-	"epoch_offset": 19,
+	"std_y_update_points": 19,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_msd.json b/Experiments/configurations/noneiv_msd.json
index 1c4f338fe3152c6a21d66cff05376efcbf88f148..a0e2f73beb63e165c7da5266b774f227e90310c1 100644
--- a/Experiments/configurations/noneiv_msd.json
+++ b/Experiments/configurations/noneiv_msd.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 4,
-	"epoch_offset": 4,
+	"std_y_update_points": 4,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_naval.json b/Experiments/configurations/noneiv_naval.json
index 5dea6c49692e193dc25818ae83c6f467860a1520..2da83b73101d1a5a957f9773053b9610b0cb8aff 100644
--- a/Experiments/configurations/noneiv_naval.json
+++ b/Experiments/configurations/noneiv_naval.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 20,
-	"epoch_offset": 20,
+	"std_y_update_points": 20,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_power.json b/Experiments/configurations/noneiv_power.json
index 6e524e6c4f684f9c0affc983f3d2d5a7e4597248..48aac9dcf4cc208095142760d7bf286c2589b22b 100644
--- a/Experiments/configurations/noneiv_power.json
+++ b/Experiments/configurations/noneiv_power.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 10,
-	"epoch_offset": 15,
+	"std_y_update_points": 15,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_protein.json b/Experiments/configurations/noneiv_protein.json
index 1edd04fa1d28b8634080beec1865d30b6f854153..454deaef823c1a25c03588c4f430b5d0f67e5e93 100644
--- a/Experiments/configurations/noneiv_protein.json
+++ b/Experiments/configurations/noneiv_protein.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 10,
-	"epoch_offset": 10,
+	"std_y_update_points": 10,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_wine.json b/Experiments/configurations/noneiv_wine.json
index 717fb33c371b6d3743da58c4489ed96bd3e62ea6..ddd2199fae58e2dd62409d554f51983b5bd1ef02 100644
--- a/Experiments/configurations/noneiv_wine.json
+++ b/Experiments/configurations/noneiv_wine.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 30,
-	"epoch_offset": 50,
+	"std_y_update_points": 50,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/configurations/noneiv_yacht.json b/Experiments/configurations/noneiv_yacht.json
index edb775cc550ec8b2ca8ed32a4962cb64eea20e65..1a899215fb9e1a69b036243805ccbec977d2dc7c 100644
--- a/Experiments/configurations/noneiv_yacht.json
+++ b/Experiments/configurations/noneiv_yacht.json
@@ -9,7 +9,7 @@
 	"report_point": 5,
 	"p": 0.2,
 	"lr_update": 200,
-	"epoch_offset": 20,
+	"std_y_update_points": 20,
 	"noneiv_prediction_number_of_draws": 100,
 	"noneiv_prediction_number_of_batches": 10,
 	"init_std_y_list": [0.5],
diff --git a/Experiments/train_eiv.py b/Experiments/train_eiv.py
index 78f6d61d5f0af1d0e29de0f10f99275db40f42c4..bb7c900e20b0e749391eb5b0587238bbade34007 100644
--- a/Experiments/train_eiv.py
+++ b/Experiments/train_eiv.py
@@ -40,10 +40,11 @@ report_point = conf_dict["report_point"]
 p = conf_dict["p"]
 lr_update = conf_dict["lr_update"]
 # offset before updating sigma_y after each epoch
-epoch_offset = conf_dict["epoch_offset"]
+std_y_update_points = conf_dict["std_y_update_points"]
 # will be used to predict the RMSE and update sigma_y accordingly
 eiv_prediction_number_of_draws = conf_dict["eiv_prediction_number_of_draws"]
-eiv_prediction_number_of_batches = conf_dict["eiv_prediction_number_of_batches"]
+eiv_prediction_number_of_batches = \
+        conf_dict["eiv_prediction_number_of_batches"]
 init_std_y_list = conf_dict["init_std_y_list"]
 fixed_std_x = conf_dict['fixed_std_x']
 gamma = conf_dict["gamma"]
@@ -54,7 +55,8 @@ print(f"Training on {long_dataname} data")
 
 try:
     gpu_number = conf_dict["gpu_number"]
-    device = torch.device(f'cuda:{gpu_number}' if torch.cuda.is_available() else 'cpu')
+    device = torch.device(f'cuda:{gpu_number}' if torch.cuda.is_available()
+            else 'cpu')
 except KeyError:
     device = torch.device('cpu')
 
@@ -65,7 +67,7 @@ seed_list = range(seed_range[0], seed_range[1])
 
 def set_seeds(seed):
     torch.backends.cudnn.benchmark = False
-    np.random.seed(seed) 
+    np.random.seed(seed)
     random.seed(seed) 
     torch.manual_seed(seed)
 
@@ -88,7 +90,22 @@ class UpdatedTrainEpoch(train_and_store.TrainEpoch):
         """
         Overwrites the corresponding method
         """
-        if epoch >= epoch_offset:
+        def update_std_y(epoch_number):
+            """
+            Check whether to update std_y according to `epoch_number` and
+            `std_y_update_points`. If the later is an integer, after all epochs
+            greater than this number an update will be made (i.e. `True` will
+            be returned). If it is a list, only `epoch_number` greater than
+            `std_y_update_points[0]` that divide `std_y_update_points[1]` will
+            result in a True.
+            """
+            if type(std_y_update_points) is int:
+                return epoch >= std_y_update_points
+            else:
+                assert type(std_y_update_points) is list
+                return epoch_number >= std_y_update_points[0]\
+                            and epoch_number % std_y_update_points[1] == 0
+        if update_std_y(epoch):
             pred_collection = []
             y_collection = []
             for i, (x,y) in  enumerate(self.train_dataloader):
diff --git a/Experiments/train_noneiv.py b/Experiments/train_noneiv.py
index e63dbf233062d7ee47465cd5cd50f5708271cd68..8b89296b38ce140bf95a338d266bc1075a89bd3d 100644
--- a/Experiments/train_noneiv.py
+++ b/Experiments/train_noneiv.py
@@ -40,10 +40,11 @@ report_point = conf_dict["report_point"]
 p = conf_dict["p"]
 lr_update = conf_dict["lr_update"]
 # offset before updating sigma_y after each epoch
-epoch_offset = conf_dict["epoch_offset"]
+std_y_update_points = conf_dict["std_y_update_points"]
 # will be used to predict the RMSE and update sigma_y accordingly
 noneiv_prediction_number_of_draws = conf_dict["noneiv_prediction_number_of_draws"]
-noneiv_prediction_number_of_batches = conf_dict["noneiv_prediction_number_of_batches"]
+noneiv_prediction_number_of_batches = \
+    conf_dict["noneiv_prediction_number_of_batches"]
 init_std_y_list = conf_dict["init_std_y_list"]
 gamma = conf_dict["gamma"]
 hidden_layers = conf_dict["hidden_layers"]
@@ -53,7 +54,8 @@ print(f"Training on {long_dataname} data")
 
 try:
     gpu_number = conf_dict["gpu_number"]
-    device = torch.device(f'cuda:{gpu_number}' if torch.cuda.is_available() else 'cpu')
+    device = torch.device(f'cuda:{gpu_number}' if torch.cuda.is_available()
+            else 'cpu')
 except KeyError:
     device = torch.device('cpu')
 
@@ -87,11 +89,26 @@ class UpdatedTrainEpoch(train_and_store.TrainEpoch):
         """
         Overwrites the corresponding method
         """
-        if epoch >= epoch_offset:
+        def update_std_y(epoch_number):
+            """
+            Check whether to update std_y according to `epoch_number` and
+            `std_y_update_points`. If the later is an integer, after all epochs
+            greater than this number an update will be made (i.e. `True` will
+            be returned). If it is a list, only `epoch_number` greater than
+            `std_y_update_points[0]` that divide `std_y_update_points[1]` will
+            result in a True.
+            """
+            if type(std_y_update_points) is int:
+                return epoch >= std_y_update_points
+            else:
+                assert type(std_y_update_points) is list
+                return epoch_number >= std_y_update_points[0]\
+                            and epoch_number % std_y_update_points[1] == 0
+        if update_std_y(epoch):
             pred_collection = []
             y_collection = []
             for i, (x,y) in  enumerate(self.train_dataloader):
-                if i>= noneiv_prediction_number_of_batches:
+                if i >= noneiv_prediction_number_of_batches:
                     break
                 if len(y.shape) <= 1:
                     y = y.view((-1,1))