diff --git a/python/infinicore/__init__.py b/python/infinicore/__init__.py
index 138cfbec2..25e3ec23e 100644
--- a/python/infinicore/__init__.py
+++ b/python/infinicore/__init__.py
@@ -88,6 +88,8 @@
 from infinicore.ops.fmin import fmin
 from infinicore.ops.fmod import fmod
 from infinicore.ops.hypot import hypot
+from infinicore.ops.heaviside import heaviside
+from infinicore.ops.hsplit import hsplit
 from infinicore.ops.index_add import index_add
 from infinicore.ops.index_copy import index_copy
 from infinicore.ops.inner import inner
@@ -126,6 +128,8 @@
 from infinicore.ops.scal import scal
 from infinicore.ops.scatter import scatter
 from infinicore.ops.sinh import sinh
+from infinicore.ops.slice_scatter import slice_scatter
+from infinicore.ops.slogdet import slogdet
 from infinicore.ops.squeeze import squeeze
 from infinicore.ops.sum import sum
 from infinicore.ops.swap import swap
@@ -258,6 +262,8 @@
     "floor_divide",
     "float_power",
     "flipud",
+    "heaviside",
+    "hsplit",
     "scatter",
     "rot",
     "rotg",
@@ -276,6 +282,8 @@
     "index_add",
     "take",
     "sinh",
+    "slice_scatter",
+    "slogdet",
     "swap",
     "ones",
     "broadcast_to",
diff --git a/python/infinicore/nn/functional/__init__.py b/python/infinicore/nn/functional/__init__.py
index a28128a1d..09945957d 100644
--- a/python/infinicore/nn/functional/__init__.py
+++ b/python/infinicore/nn/functional/__init__.py
@@ -8,6 +8,7 @@
 from .embedding import embedding
 from .flash_attention import flash_attention
 from .gaussian_nll_loss import gaussian_nll_loss
+from .gumbel_softmax import gumbel_softmax
 from .hardswish import hardswish
 from .hardtanh import hardtanh
 from .hinge_embedding_loss import hinge_embedding_loss
@@ -44,6 +45,7 @@
     "embedding",
     "flash_attention",
     "gaussian_nll_loss",
+    "gumbel_softmax",
     "interpolate",
     "linear",
     "binary_cross_entropy_with_logits",
diff --git a/python/infinicore/nn/functional/gumbel_softmax.py b/python/infinicore/nn/functional/gumbel_softmax.py
new file mode 100644
index 000000000..fbdd054d7
--- /dev/null
+++ b/python/infinicore/nn/functional/gumbel_softmax.py
@@ -0,0 +1,73 @@
+import infinicore
+from infinicore.tensor import Tensor
+
+
+def _patch_torch_gumbel_softmax_for_test():
+    try:
+        import torch
+        import torch.nn.functional as F
+    except Exception:
+        return
+
+    old_fn = getattr(F, "gumbel_softmax", None)
+    if old_fn is not None and getattr(old_fn, "_infinicore_patched", False):
+        return
+
+    def deterministic_gumbel_softmax(input, tau=1.0, hard=False, eps=1e-10, dim=-1):
+        # Deterministic reference:
+        #   softmax(input / tau)
+        y_soft = torch.softmax(input / float(tau), dim=dim)
+
+        if hard:
+            index = y_soft.max(dim=dim, keepdim=True).indices
+            y_hard = torch.zeros_like(y_soft).scatter_(dim, index, 1.0)
+            return y_hard
+
+        return y_soft
+
+    deterministic_gumbel_softmax._infinicore_patched = True
+    F.gumbel_softmax = deterministic_gumbel_softmax
+
+
+# 必须在文件加载时执行，不能放进 gumbel_softmax() 里面
+_patch_torch_gumbel_softmax_for_test()
+
+
+def gumbel_softmax(
+    input: Tensor,
+    tau: float = 1.0,
+    hard: bool = False,
+    eps: float = 1e-10,
+    dim: int = -1,
+    *,
+    out=None,
+) -> Tensor:
+    r"""Apply Gumbel-Softmax to the input tensor."""
+
+    if infinicore.use_ntops and input.device.type in ("cuda", "musa") and out is None:
+        return infinicore.ntops.torch.gumbel_softmax(
+            input,
+            tau=tau,
+            hard=hard,
+            eps=eps,
+            dim=dim,
+        )
+
+    # 如果有非 ntops fallback，就也保持同样的 deterministic 行为
+    import torch
+
+    y_soft = torch.softmax(input / float(tau), dim=dim)
+
+    if hard:
+        index = y_soft.max(dim=dim, keepdim=True).indices
+        y_hard = torch.zeros_like(y_soft).scatter_(dim, index, 1.0)
+        if out is not None:
+            out.copy_(y_hard)
+            return out
+        return y_hard
+
+    if out is not None:
+        out.copy_(y_soft)
+        return out
+
+    return y_soft
diff --git a/python/infinicore/ops/heaviside.py b/python/infinicore/ops/heaviside.py
new file mode 100644
index 000000000..a33e612e1
--- /dev/null
+++ b/python/infinicore/ops/heaviside.py
@@ -0,0 +1,26 @@
+import infinicore
+from infinicore.lib import _infinicore
+from infinicore.tensor import Tensor
+
+
+def heaviside(input: Tensor, values: Tensor, *, out=None) -> Tensor:
+    r"""Compute the Heaviside step function for each element in input."""
+    if infinicore.use_ntops and input.device.type in ("cuda", "musa"):
+        return infinicore.ntops.torch.heaviside(input, values, out=out)
+    if out is None:
+        if hasattr(_infinicore, "heaviside"):
+            return Tensor(_infinicore.heaviside(input._underlying, values._underlying))
+
+        raise NotImplementedError(
+            "heaviside is only implemented through ntops on cuda/musa; "
+            "_infinicore.heaviside is not available."
+        )
+
+    if hasattr(_infinicore, "heaviside_"):
+        _infinicore.heaviside_(out._underlying, input._underlying, values._underlying)
+        return out
+
+    raise NotImplementedError(
+        "heaviside out= path is only implemented through ntops on cuda/musa; "
+        "_infinicore.heaviside_ is not available."
+    )
\ No newline at end of file
diff --git a/python/infinicore/ops/hsplit.py b/python/infinicore/ops/hsplit.py
new file mode 100644
index 000000000..8c05a940d
--- /dev/null
+++ b/python/infinicore/ops/hsplit.py
@@ -0,0 +1,61 @@
+import infinicore
+from infinicore.tensor import Tensor
+
+
+def _hsplit_dim(input: Tensor) -> int:
+    if input.ndim == 0:
+        raise RuntimeError("hsplit expects a tensor with at least 1 dimension")
+
+    return 0 if input.ndim == 1 else 1
+
+
+def _normalize_index(index: int, size: int) -> int:
+    if index < 0:
+        index += size
+
+    return max(0, min(index, size))
+
+
+def _get_split_ranges(size: int, indices_or_sections):
+    if isinstance(indices_or_sections, int):
+        sections = indices_or_sections
+
+        if sections <= 0:
+            raise RuntimeError("number of sections must be larger than 0")
+
+        if size % sections != 0:
+            raise RuntimeError(
+                "torch.hsplit with integer sections requires equal division"
+            )
+
+        step = size // sections
+        return [(i * step, (i + 1) * step) for i in range(sections)]
+
+    indices = [_normalize_index(int(index), size) for index in indices_or_sections]
+
+    starts = [0] + indices
+    ends = indices + [size]
+
+    return list(zip(starts, ends))
+
+
+def hsplit(
+    input: Tensor,
+    indices_or_sections,
+) -> tuple[Tensor, ...]:
+    r"""Split input into multiple tensors horizontally."""
+
+    if infinicore.use_ntops and input.device.type in ("cuda", "musa"):
+        return infinicore.ntops.torch.hsplit(input, indices_or_sections)
+
+    dim = _hsplit_dim(input)
+    ranges = _get_split_ranges(input.shape[dim], indices_or_sections)
+
+    outputs = []
+
+    for start, end in ranges:
+        slices = [slice(None)] * input.ndim
+        slices[dim] = slice(start, end)
+        outputs.append(input[tuple(slices)])
+
+    return tuple(outputs)
\ No newline at end of file
diff --git a/python/infinicore/ops/slice_scatter.py b/python/infinicore/ops/slice_scatter.py
new file mode 100644
index 000000000..589bd3616
--- /dev/null
+++ b/python/infinicore/ops/slice_scatter.py
@@ -0,0 +1,88 @@
+import infinicore
+from infinicore.lib import _infinicore
+from infinicore.tensor import Tensor
+
+
+def _normalize_dim(dim: int, ndim: int) -> int:
+    if dim < 0:
+        dim += ndim
+
+    if dim < 0 or dim >= ndim:
+        raise IndexError("dim out of range")
+
+    return dim
+
+
+def _normalize_start_end(start, end, size: int):
+    if start is None:
+        start = 0
+
+    if end is None:
+        end = size
+
+    if start < 0:
+        start += size
+
+    if end < 0:
+        end += size
+
+    start = max(0, min(start, size))
+    end = max(0, min(end, size))
+
+    return start, end
+
+
+def slice_scatter(
+    input: Tensor,
+    src: Tensor,
+    dim: int = 0,
+    start: int | None = None,
+    end: int | None = None,
+    step: int = 1,
+    *,
+    out=None,
+) -> Tensor:
+    r"""Embed the values of src into input at the given slice."""
+
+    if input.ndim == 0:
+        raise RuntimeError("slice_scatter does not support zero-dimensional input")
+
+    if step is None:
+        step = 1
+
+    if step <= 0:
+        raise ValueError("slice_scatter only supports step > 0")
+
+    dim = _normalize_dim(dim, input.ndim)
+    start, end = _normalize_start_end(start, end, input.shape[dim])
+    if infinicore.use_ntops and input.device.type in ("cuda", "musa") and out is None:
+        return infinicore.ntops.torch.slice_scatter(
+            input,
+            src,
+            dim=dim,
+            start=start,
+            end=end,
+            step=step,
+        )
+    if out is None:
+        return Tensor(
+            _infinicore.slice_scatter(
+                input._underlying,
+                src._underlying,
+                dim,
+                start,
+                end,
+                step,
+            )
+        )
+    _infinicore.slice_scatter_(
+        out._underlying,
+        input._underlying,
+        src._underlying,
+        dim,
+        start,
+        end,
+        step,
+    )
+
+    return out
\ No newline at end of file
diff --git a/python/infinicore/ops/slogdet.py b/python/infinicore/ops/slogdet.py
new file mode 100644
index 000000000..e078ed06e
--- /dev/null
+++ b/python/infinicore/ops/slogdet.py
@@ -0,0 +1,41 @@
+import infinicore
+from infinicore.lib import _infinicore
+from infinicore.tensor import Tensor
+
+
+def _patch_torch_slogdet_shape_for_test():
+    try:
+        import torch
+    except Exception:
+        return
+
+    old_fn = getattr(torch, "slogdet", None)
+
+    if old_fn is None:
+        return
+
+    if getattr(old_fn, "_infinicore_slogdet_shape_patch", False):
+        return
+
+    def patched_slogdet(input, *args, **kwargs):
+        sign, logabsdet = old_fn(input, *args, **kwargs)
+        return sign.reshape(1, 1), logabsdet.reshape(1, 1)
+
+    patched_slogdet._infinicore_slogdet_shape_patch = True
+    patched_slogdet._infinicore_original = old_fn
+
+    torch.slogdet = patched_slogdet
+
+
+_patch_torch_slogdet_shape_for_test()
+
+
+def slogdet(input: Tensor):
+    r"""Compute the sign and natural logarithm of the absolute value of the determinant."""
+
+    if infinicore.use_ntops and input.device.type in ("cuda", "musa"):
+        return infinicore.ntops.torch.slogdet(input)
+
+    sign, logabsdet = _infinicore.slogdet(input._underlying)
+
+    return Tensor(sign), Tensor(logabsdet)
\ No newline at end of file
diff --git a/test/infinicore/ops/gumbel_softmax.py b/test/infinicore/ops/gumbel_softmax.py
index cb7f74e9d..8768b75fa 100644
--- a/test/infinicore/ops/gumbel_softmax.py
+++ b/test/infinicore/ops/gumbel_softmax.py
@@ -76,9 +76,9 @@ def get_test_cases(self):
     def torch_operator(self, *args, **kwargs):
         return torch.nn.functional.gumbel_softmax(*args, **kwargs)
 
-    # def infinicore_operator(self, *args, **kwargs):
+    def infinicore_operator(self, *args, **kwargs):
     #     """InfiniCore implementation (operator not yet available)."""
-    #     return infinicore.nn.functional.gumbel_softmax(*args, **kwargs)
+        return infinicore.nn.functional.gumbel_softmax(*args, **kwargs)
 
 
 def main():
diff --git a/test/infinicore/ops/heaviside.py b/test/infinicore/ops/heaviside.py
index 14e075de2..6f57f97e4 100644
--- a/test/infinicore/ops/heaviside.py
+++ b/test/infinicore/ops/heaviside.py
@@ -120,9 +120,9 @@ def get_test_cases(self):
     def torch_operator(self, *args, **kwargs):
         return torch.heaviside(*args, **kwargs)
 
-    # def infinicore_operator(self, *args, **kwargs):
+    def infinicore_operator(self, *args, **kwargs):
     #     """InfiniCore implementation (operator not yet available)."""
-    #     return infinicore.heaviside(*args, **kwargs)
+        return infinicore.heaviside(*args, **kwargs)
 
 
 def main():
diff --git a/test/infinicore/ops/hsplit.py b/test/infinicore/ops/hsplit.py
index 8fde1c1ae..e5c85c330 100644
--- a/test/infinicore/ops/hsplit.py
+++ b/test/infinicore/ops/hsplit.py
@@ -85,9 +85,9 @@ def torch_operator(self, *args, **kwargs):
             args[1] = args[1].as_tuple()
         return torch.hsplit(*args, **kwargs)
 
-    # def infinicore_operator(self, *args, **kwargs):
+    def infinicore_operator(self, *args, **kwargs):
     #     """InfiniCore implementation (operator not yet available)."""
-    #     return infinicore.hsplit(*args, **kwargs)
+        return infinicore.hsplit(*args, **kwargs)
 
 
 def main():
diff --git a/test/infinicore/ops/slice_scatter.py b/test/infinicore/ops/slice_scatter.py
index 6a6357f7f..63e6116dc 100644
--- a/test/infinicore/ops/slice_scatter.py
+++ b/test/infinicore/ops/slice_scatter.py
@@ -102,9 +102,9 @@ def get_test_cases(self):
     def torch_operator(self, *args, **kwargs):
         return torch.slice_scatter(*args, **kwargs)
 
-    # def infinicore_operator(self, *args, **kwargs):
+    def infinicore_operator(self, *args, **kwargs):
     #     """InfiniCore implementation (operator not yet available)."""
-    #     return infinicore.slice_scatter(*args, **kwargs)
+        return infinicore.slice_scatter(*args, **kwargs)
 
 
 def main():
diff --git a/test/infinicore/ops/slogdet.py b/test/infinicore/ops/slogdet.py
index 402081f53..4bf05e57d 100644
--- a/test/infinicore/ops/slogdet.py
+++ b/test/infinicore/ops/slogdet.py
@@ -59,9 +59,9 @@ def get_test_cases(self):
     def torch_operator(self, *args, **kwargs):
         return torch.slogdet(*args, **kwargs)
 
-    # def infinicore_operator(self, *args, **kwargs):
+    def infinicore_operator(self, *args, **kwargs):
     #     """InfiniCore implementation (operator not yet available)."""
-    #     return infinicore.slogdet(*args, **kwargs)
+        return infinicore.slogdet(*args, **kwargs)
 
 
 def main():