diff --git a/monai/transforms/intensity/array.py b/monai/transforms/intensity/array.py
index f24b184ec8..48ebd1788d 100644
--- a/monai/transforms/intensity/array.py
+++ b/monai/transforms/intensity/array.py
@@ -414,7 +414,7 @@ def __init__(
             minv: minimum value of output data.
             maxv: maximum value of output data.
             factor: factor scale by ``v = v * (1 + factor)``. In order to use
-                this parameter, please set `minv` and `maxv` into None.
+                this parameter, please set both `minv` and `maxv` into None.
             channel_wise: if True, scale on each channel separately. Please ensure
                 that the first dimension represents the channel of the image if True.
             dtype: output data type, if None, same as input image. defaults to float32.
@@ -433,7 +433,7 @@ def __call__(self, img: NdarrayOrTensor) -> NdarrayOrTensor:
             ValueError: When ``self.minv=None`` or ``self.maxv=None`` and ``self.factor=None``. Incompatible values.
 
         """
-        if self.minv is not None and self.maxv is not None:
+        if self.minv is not None or self.maxv is not None:
             if self.channel_wise:
                 out = [rescale_array(d, self.minv, self.maxv, dtype=self.dtype) for d in img]
                 ret = torch.stack(out) if isinstance(img, torch.Tensor) else np.stack(out)  # type: ignore
@@ -722,6 +722,9 @@ class ScaleIntensityRange(Transform):
     Apply specific intensity scaling to the whole numpy array.
     Scaling from [a_min, a_max] to [b_min, b_max] with clip option.
 
+    When `b_min` or `b_max` are `None`, `scacled_array * (b_max - b_min) + b_min` will be skipped.
+    If `clip=True`, when `b_min`/`b_max` is None, the clipping is not performed on the corresponding edge.
+
     Args:
         a_min: intensity original range min.
         a_max: intensity original range max.
@@ -734,7 +737,13 @@ class ScaleIntensityRange(Transform):
     backend = [TransformBackends.TORCH, TransformBackends.NUMPY]
 
     def __init__(
-        self, a_min: float, a_max: float, b_min: float, b_max: float, clip: bool = False, dtype: DtypeLike = np.float32
+        self,
+        a_min: float,
+        a_max: float,
+        b_min: Optional[float] = None,
+        b_max: Optional[float] = None,
+        clip: bool = False,
+        dtype: DtypeLike = np.float32,
     ) -> None:
         self.a_min = a_min
         self.a_max = a_max
@@ -750,10 +759,13 @@ def __call__(self, img: NdarrayOrTensor) -> NdarrayOrTensor:
         dtype = self.dtype or img.dtype
         if self.a_max - self.a_min == 0.0:
             warn("Divide by zero (a_min == a_max)", Warning)
+            if self.b_min is None:
+                return img - self.a_min
             return img - self.a_min + self.b_min
 
         img = (img - self.a_min) / (self.a_max - self.a_min)
-        img = img * (self.b_max - self.b_min) + self.b_min
+        if (self.b_min is not None) and (self.b_max is not None):
+            img = img * (self.b_max - self.b_min) + self.b_min
         if self.clip:
             img = clip(img, self.b_min, self.b_max)
         ret, *_ = convert_data_type(img, dtype=dtype)
@@ -844,11 +856,12 @@ class ScaleIntensityRangePercentiles(Transform):
     """
     Apply range scaling to a numpy array based on the intensity distribution of the input.
 
-    By default this transform will scale from [lower_intensity_percentile, upper_intensity_percentile] to [b_min, b_max], where
-    {lower,upper}_intensity_percentile are the intensity values at the corresponding percentiles of ``img``.
+    By default this transform will scale from [lower_intensity_percentile, upper_intensity_percentile] to
+    `[b_min, b_max]`, where {lower,upper}_intensity_percentile are the intensity values at the corresponding
+    percentiles of ``img``.
 
-    The ``relative`` parameter can also be set to scale from [lower_intensity_percentile, upper_intensity_percentile] to the
-    lower and upper percentiles of the output range [b_min, b_max]
+    The ``relative`` parameter can also be set to scale from [lower_intensity_percentile, upper_intensity_percentile]
+    to the lower and upper percentiles of the output range [b_min, b_max].
 
     For example:
 
@@ -885,6 +898,9 @@ class ScaleIntensityRangePercentiles(Transform):
           [20., 60., 100., 140., 180.],
           [20., 60., 100., 140., 180.]]]
 
+    See Also:
+
+        - :py:class:`monai.transforms.ScaleIntensityRange`
 
     Args:
         lower: lower intensity percentile.
@@ -902,8 +918,8 @@ def __init__(
         self,
         lower: float,
         upper: float,
-        b_min: float,
-        b_max: float,
+        b_min: Optional[float],
+        b_max: Optional[float],
         clip: bool = False,
         relative: bool = False,
         dtype: DtypeLike = np.float32,
@@ -930,15 +946,15 @@ def __call__(self, img: NdarrayOrTensor) -> NdarrayOrTensor:
         b_max = self.b_max
 
         if self.relative:
+            if (self.b_min is None) or (self.b_max is None):
+                raise ValueError("If it is relative, b_min and b_max should not be None.")
             b_min = ((self.b_max - self.b_min) * (self.lower / 100.0)) + self.b_min
             b_max = ((self.b_max - self.b_min) * (self.upper / 100.0)) + self.b_min
 
-        scalar = ScaleIntensityRange(a_min=a_min, a_max=a_max, b_min=b_min, b_max=b_max, clip=False, dtype=self.dtype)
+        scalar = ScaleIntensityRange(
+            a_min=a_min, a_max=a_max, b_min=b_min, b_max=b_max, clip=self.clip, dtype=self.dtype
+        )
         img = scalar(img)
-
-        if self.clip:
-            img = clip(img, self.b_min, self.b_max)
-
         return img
 
 
diff --git a/monai/transforms/intensity/dictionary.py b/monai/transforms/intensity/dictionary.py
index 3689d86689..c33cad85a5 100644
--- a/monai/transforms/intensity/dictionary.py
+++ b/monai/transforms/intensity/dictionary.py
@@ -506,7 +506,7 @@ def __init__(
             minv: minimum value of output data.
             maxv: maximum value of output data.
             factor: factor scale by ``v = v * (1 + factor)``. In order to use
-                this parameter, please set `minv` and `maxv` into None.
+                this parameter, please set both `minv` and `maxv` into None.
             channel_wise: if True, scale on each channel separately. Please ensure
                 that the first dimension represents the channel of the image if True.
             dtype: output data type, if None, same as input image. defaults to float32.
@@ -723,8 +723,8 @@ def __init__(
         keys: KeysCollection,
         a_min: float,
         a_max: float,
-        b_min: float,
-        b_max: float,
+        b_min: Optional[float] = None,
+        b_max: Optional[float] = None,
         clip: bool = False,
         dtype: DtypeLike = np.float32,
         allow_missing_keys: bool = False,
@@ -839,8 +839,8 @@ def __init__(
         keys: KeysCollection,
         lower: float,
         upper: float,
-        b_min: float,
-        b_max: float,
+        b_min: Optional[float],
+        b_max: Optional[float],
         clip: bool = False,
         relative: bool = False,
         dtype: DtypeLike = np.float32,
diff --git a/monai/transforms/utils.py b/monai/transforms/utils.py
index 536a0b91ee..db15bba225 100644
--- a/monai/transforms/utils.py
+++ b/monai/transforms/utils.py
@@ -150,12 +150,13 @@ def zero_margins(img: np.ndarray, margin: int) -> bool:
 
 def rescale_array(
     arr: NdarrayOrTensor,
-    minv: float = 0.0,
-    maxv: float = 1.0,
+    minv: Optional[float] = 0.0,
+    maxv: Optional[float] = 1.0,
     dtype: Optional[Union[DtypeLike, torch.dtype]] = np.float32,
 ) -> NdarrayOrTensor:
     """
     Rescale the values of numpy array `arr` to be from `minv` to `maxv`.
+    If either `minv` or `maxv` is None, it returns `(a - min_a) / (max_a - min_a)`.
 
     Args:
         arr: input array to rescale.
@@ -170,14 +171,16 @@ def rescale_array(
     maxa = arr.max()
 
     if mina == maxa:
-        return arr * minv
+        return arr * minv if minv is not None else arr
 
     norm = (arr - mina) / (maxa - mina)  # normalize the array first
+    if (minv is None) or (maxv is None):
+        return norm
     return (norm * (maxv - minv)) + minv  # rescale by minv and maxv, which is the normalized array by default
 
 
 def rescale_instance_array(
-    arr: np.ndarray, minv: float = 0.0, maxv: float = 1.0, dtype: DtypeLike = np.float32
+    arr: np.ndarray, minv: Optional[float] = 0.0, maxv: Optional[float] = 1.0, dtype: DtypeLike = np.float32
 ) -> np.ndarray:
     """
     Rescale each array slice along the first dimension of `arr` independently.
diff --git a/monai/transforms/utils_pytorch_numpy_unification.py b/monai/transforms/utils_pytorch_numpy_unification.py
index 15ae8fb111..b6695d937b 100644
--- a/monai/transforms/utils_pytorch_numpy_unification.py
+++ b/monai/transforms/utils_pytorch_numpy_unification.py
@@ -77,7 +77,7 @@ def clip(a: NdarrayOrTensor, a_min, a_max) -> NdarrayOrTensor:
     if isinstance(a, np.ndarray):
         result = np.clip(a, a_min, a_max)
     else:
-        result = torch.clip(a, a_min, a_max)
+        result = torch.clamp(a, a_min, a_max)
     return result
 
 
diff --git a/tests/test_cachedataset_persistent_workers.py b/tests/test_cachedataset_persistent_workers.py
index d727074bf9..6cdd0ada99 100644
--- a/tests/test_cachedataset_persistent_workers.py
+++ b/tests/test_cachedataset_persistent_workers.py
@@ -19,15 +19,16 @@
 @SkipIfBeforePyTorchVersion((1, 7))
 class TestTransformsWCacheDatasetAndPersistentWorkers(unittest.TestCase):
     def test_duplicate_transforms(self):
-        im, _ = create_test_image_2d(128, 128, num_seg_classes=1, channel_dim=0)
-        data = [{"img": im} for _ in range(2)]
+        data = [{"img": create_test_image_2d(128, 128, num_seg_classes=1, channel_dim=0)[0]} for _ in range(2)]
 
         # at least 1 deterministic followed by at least 1 random
         transform = Compose([Spacingd("img", pixdim=(1, 1)), RandAffined("img", prob=1.0)])
 
         # cachedataset and data loader w persistent_workers
         train_ds = CacheDataset(data, transform, cache_num=1)
-        train_loader = DataLoader(train_ds, num_workers=2, persistent_workers=True)
+        # num_workers > 1 may fail randomly with 21.09 on A100 test node
+        # https://github.com/Project-MONAI/MONAI/issues/3283
+        train_loader = DataLoader(train_ds, num_workers=1, persistent_workers=True)
 
         b1 = next(iter(train_loader))
         b2 = next(iter(train_loader))
diff --git a/tests/test_scale_intensity.py b/tests/test_scale_intensity.py
index cf57b4e3a4..33f4bc759b 100644
--- a/tests/test_scale_intensity.py
+++ b/tests/test_scale_intensity.py
@@ -14,6 +14,7 @@
 import numpy as np
 
 from monai.transforms import ScaleIntensity
+from monai.transforms.utils import rescale_array
 from tests.utils import TEST_NDARRAYS, NumpyImageTestCase2D, assert_allclose
 
 
@@ -35,6 +36,13 @@ def test_factor_scale(self):
             expected = p((self.imt * (1 + 0.1)).astype(np.float32))
             assert_allclose(result, p(expected), rtol=1e-7, atol=0)
 
+    def test_max_none(self):
+        for p in TEST_NDARRAYS:
+            scaler = ScaleIntensity(minv=0.0, maxv=None, factor=0.1)
+            result = scaler(p(self.imt))
+            expected = rescale_array(p(self.imt), minv=0.0, maxv=None)
+            assert_allclose(result, expected, rtol=1e-3, atol=1e-3)
+
     def test_int(self):
         """integers should be handled by converting them to floats first."""
         for p in TEST_NDARRAYS:
diff --git a/tests/test_scale_intensity_range.py b/tests/test_scale_intensity_range.py
index f3e971b2ea..2384532776 100644
--- a/tests/test_scale_intensity_range.py
+++ b/tests/test_scale_intensity_range.py
@@ -26,6 +26,14 @@ def test_image_scale_intensity_range(self):
             expected = (((self.imt - 20) / 88) * 30 + 50).astype(np.uint8)
             assert_allclose(scaled, p(expected))
 
+    def test_image_scale_intensity_range_none_clip(self):
+        scaler = ScaleIntensityRange(a_min=20, a_max=108, b_min=None, b_max=80, clip=True, dtype=np.uint8)
+        for p in TEST_NDARRAYS:
+            scaled = scaler(p(self.imt))
+            self.assertTrue(scaled.dtype, np.uint8)
+            expected = (np.clip((self.imt - 20) / 88, None, 80)).astype(np.uint8)
+            assert_allclose(scaled, p(expected))
+
 
 if __name__ == "__main__":
     unittest.main()
diff --git a/tests/test_scale_intensity_range_percentiles.py b/tests/test_scale_intensity_range_percentiles.py
index 786e4299b5..22a5506fb9 100644
--- a/tests/test_scale_intensity_range_percentiles.py
+++ b/tests/test_scale_intensity_range_percentiles.py
@@ -52,6 +52,13 @@ def test_relative_scaling(self):
             result = scaler(p(img))
             assert_allclose(result, p(expected_img), rtol=1e-4)
 
+        scaler = ScaleIntensityRangePercentiles(
+            lower=lower, upper=upper, b_min=b_min, b_max=b_max, relative=True, clip=True
+        )
+        for p in TEST_NDARRAYS:
+            result = scaler(p(img))
+            assert_allclose(result, p(np.clip(expected_img, expected_b_min, expected_b_max)), rtol=1e-4)
+
     def test_invalid_instantiation(self):
         self.assertRaises(ValueError, ScaleIntensityRangePercentiles, lower=-10, upper=99, b_min=0, b_max=255)
         self.assertRaises(ValueError, ScaleIntensityRangePercentiles, lower=101, upper=99, b_min=0, b_max=255)
diff --git a/tests/test_scale_intensity_range_percentilesd.py b/tests/test_scale_intensity_range_percentilesd.py
index 9d0fe8284a..ac2118d99f 100644
--- a/tests/test_scale_intensity_range_percentilesd.py
+++ b/tests/test_scale_intensity_range_percentilesd.py
@@ -14,14 +14,12 @@
 import numpy as np
 
 from monai.transforms.intensity.dictionary import ScaleIntensityRangePercentilesd
-from tests.utils import NumpyImageTestCase2D
+from tests.utils import TEST_NDARRAYS, NumpyImageTestCase2D, assert_allclose
 
 
 class TestScaleIntensityRangePercentilesd(NumpyImageTestCase2D):
     def test_scaling(self):
         img = self.imt
-        data = {}
-        data["img"] = img
         lower = 10
         upper = 99
         b_min = 0
@@ -32,9 +30,12 @@ def test_scaling(self):
         expected = (img - a_min) / (a_max - a_min)
         expected = (expected * (b_max - b_min)) + b_min
 
-        scaler = ScaleIntensityRangePercentilesd(keys=data.keys(), lower=lower, upper=upper, b_min=b_min, b_max=b_max)
-
-        self.assertTrue(np.allclose(expected, scaler(data)["img"]))
+        for p in TEST_NDARRAYS:
+            data = {"img": p(img)}
+            scaler = ScaleIntensityRangePercentilesd(
+                keys=data.keys(), lower=lower, upper=upper, b_min=b_min, b_max=b_max
+            )
+            assert_allclose(p(expected), scaler(data)["img"])
 
     def test_relative_scaling(self):
         img = self.imt
@@ -55,7 +56,7 @@ def test_relative_scaling(self):
         expected_img = (img - expected_a_min) / (expected_a_max - expected_a_min)
         expected_img = (expected_img * (expected_b_max - expected_b_min)) + expected_b_min
 
-        self.assertTrue(np.allclose(expected_img, scaler(data)["img"]))
+        np.testing.assert_allclose(expected_img, scaler(data)["img"])
 
     def test_invalid_instantiation(self):
         self.assertRaises(
@@ -70,6 +71,9 @@ def test_invalid_instantiation(self):
         self.assertRaises(
             ValueError, ScaleIntensityRangePercentilesd, keys=["img"], lower=30, upper=1000, b_min=0, b_max=255
         )
+        with self.assertRaises(ValueError):
+            s = ScaleIntensityRangePercentilesd(keys=["img"], lower=30, upper=90, b_min=None, b_max=20, relative=True)
+            s(self.imt)
 
 
 if __name__ == "__main__":
diff --git a/tests/test_scale_intensity_ranged.py b/tests/test_scale_intensity_ranged.py
index dc064a7708..a4b7f17b04 100644
--- a/tests/test_scale_intensity_ranged.py
+++ b/tests/test_scale_intensity_ranged.py
@@ -25,6 +25,14 @@ def test_image_scale_intensity_ranged(self):
             expected = expected * 30 + 50
             assert_allclose(scaled[key], p(expected))
 
+    def test_image_scale_intensity_ranged_none(self):
+        key = "img"
+        scaler = ScaleIntensityRanged(keys=key, a_min=20, a_max=108, b_min=None, b_max=None)
+        for p in TEST_NDARRAYS:
+            scaled = scaler({key: p(self.imt)})
+            expected = (self.imt - 20) / 88
+            assert_allclose(scaled[key], p(expected))
+
 
 if __name__ == "__main__":
     unittest.main()