diff --git a/tests/test_optim.py b/tests/test_optim.py
index 58cd40e7..3db4b248 100644
--- a/tests/test_optim.py
+++ b/tests/test_optim.py
@@ -9,6 +9,7 @@ import functools
 from copy import deepcopy
 
 import torch
+from IPython.testing.decorators import skip_win32
 from torch.testing._internal.common_utils import TestCase
 from torch.nn import Parameter
 
@@ -299,27 +300,39 @@ def test_optim_factory(optimizer):
     opt_info = get_optimizer_info(optimizer)
     assert isinstance(opt_info, OptimInfo)
 
-    if not opt_info.second_order:  # basic tests don't support second order right now
-        # test basic cases that don't need specific tuning via factory test
-        _test_basic_cases(
-            lambda weight, bias: create_optimizer_v2([weight, bias], optimizer, lr=1e-3)
-        )
-        _test_basic_cases(
-            lambda weight, bias: create_optimizer_v2(
-                _build_params_dict(weight, bias, lr=1e-2),
-                optimizer,
-                lr=1e-3)
-        )
-        _test_basic_cases(
-            lambda weight, bias: create_optimizer_v2(
-                _build_params_dict_single(weight, bias, lr=1e-2),
-                optimizer,
-                lr=1e-3)
-        )
-        _test_basic_cases(
-            lambda weight, bias: create_optimizer_v2(
-                _build_params_dict_single(weight, bias, lr=1e-2), optimizer)
-        )
+    lr = (1e-3, 1e-2, 1e-2, 1e-2)
+    if optimizer in ('mars',):
+        lr = (1e-3, 1e-3, 1e-3, 1e-3)
+
+    try:
+        if not opt_info.second_order:  # basic tests don't support second order right now
+            # test basic cases that don't need specific tuning via factory test
+            _test_basic_cases(
+                lambda weight, bias: create_optimizer_v2([weight, bias], optimizer, lr=lr[0])
+            )
+            _test_basic_cases(
+                lambda weight, bias: create_optimizer_v2(
+                    _build_params_dict(weight, bias, lr=lr[1]),
+                    optimizer,
+                    lr=lr[1] / 10)
+            )
+            _test_basic_cases(
+                lambda weight, bias: create_optimizer_v2(
+                    _build_params_dict_single(weight, bias, lr=lr[2]),
+                    optimizer,
+                    lr=lr[2] / 10)
+            )
+            _test_basic_cases(
+                lambda weight, bias: create_optimizer_v2(
+                    _build_params_dict_single(weight, bias, lr=lr[3]),
+                    optimizer)
+            )
+    except TypeError as e:
+        if 'radamw' in optimizer:
+            pytest.skip("Expected for 'radamw' (decoupled decay) to fail in older PyTorch versions.")
+        else:
+            raise e
+
 
 
 #@pytest.mark.parametrize('optimizer', ['sgd', 'momentum'])