有两个内置的numpy函数可以满足您的要求：

• 使用np.take_along_axis实现torch.gather
• 使用np.put_along_axis实现torch.scatter

scatter方法的工作量比我预期的要大得多。我在NumPy中没有找到任何现成的函数。我在这里分享它是为了任何可能需要使用NumPy实现它的人的利益。（p.s. self是方法的目的地或输出。

def scatter_numpy(self, dim, index, src):
    """
    Writes all values from the Tensor src into self at the indices specified in the index Tensor.
    :param dim: The axis along which to index
    :param index: The indices of elements to scatter
    :param src: The source element(s) to scatter
    :return: self
    """
    if index.dtype != np.dtype('int_'):
        raise TypeError("The values of index must be integers")
    if self.ndim != index.ndim:
        raise ValueError("Index should have the same number of dimensions as output")
    if dim >= self.ndim or dim < -self.ndim:
        raise IndexError("dim is out of range")
    if dim < 0:
        # Not sure why scatter should accept dim < 0, but that is the behavior in PyTorch's scatter
        dim = self.ndim + dim
    idx_xsection_shape = index.shape[:dim] + index.shape[dim + 1:]
    self_xsection_shape = self.shape[:dim] + self.shape[dim + 1:]
    if idx_xsection_shape != self_xsection_shape:
        raise ValueError("Except for dimension " + str(dim) +
                         ", all dimensions of index and output should be the same size")
    if (index >= self.shape[dim]).any() or (index < 0).any():
        raise IndexError("The values of index must be between 0 and (self.shape[dim] -1)")
    def make_slice(arr, dim, i):
        slc = [slice(None)] * arr.ndim
        slc[dim] = i
        return slc
    # We use index and dim parameters to create idx
    # idx is in a form that can be used as a NumPy advanced index for scattering of src param. in self
    idx = [[*np.indices(idx_xsection_shape).reshape(index.ndim - 1, -1),
            index[make_slice(index, dim, i)].reshape(1, -1)[0]] for i in range(index.shape[dim])]
    idx = list(np.concatenate(idx, axis=1))
    idx.insert(dim, idx.pop())
    if not np.isscalar(src):
        if index.shape[dim] > src.shape[dim]:
            raise IndexError("Dimension " + str(dim) + "of index can not be bigger than that of src ")
        src_xsection_shape = src.shape[:dim] + src.shape[dim + 1:]
        if idx_xsection_shape != src_xsection_shape:
            raise ValueError("Except for dimension " +
                             str(dim) + ", all dimensions of index and src should be the same size")
        # src_idx is a NumPy advanced index for indexing of elements in the src
        src_idx = list(idx)
        src_idx.pop(dim)
        src_idx.insert(dim, np.repeat(np.arange(index.shape[dim]), np.prod(idx_xsection_shape)))
        self[idx] = src[src_idx]
    else:
        self[idx] = src
    return self

gather可能有一个更简单的解决方案，但这是我的解决方案：
(here self是从中收集值的ndarray。

def gather_numpy(self, dim, index):
    """
    Gathers values along an axis specified by dim.
    For a 3-D tensor the output is specified by:
        out[i][j][k] = input[index[i][j][k]][j][k]  # if dim == 0
        out[i][j][k] = input[i][index[i][j][k]][k]  # if dim == 1
        out[i][j][k] = input[i][j][index[i][j][k]]  # if dim == 2
    :param dim: The axis along which to index
    :param index: A tensor of indices of elements to gather
    :return: tensor of gathered values
    """
    idx_xsection_shape = index.shape[:dim] + index.shape[dim + 1:]
    self_xsection_shape = self.shape[:dim] + self.shape[dim + 1:]
    if idx_xsection_shape != self_xsection_shape:
        raise ValueError("Except for dimension " + str(dim) +
                         ", all dimensions of index and self should be the same size")
    if index.dtype != np.dtype('int_'):
        raise TypeError("The values of index must be integers")
    data_swaped = np.swapaxes(self, 0, dim)
    index_swaped = np.swapaxes(index, 0, dim)
    gathered = np.choose(index_swaped, data_swaped)
    return np.swapaxes(gathered, 0, dim)

scatter_nd操作可以使用*np*'s ufuncs .at函数来实现。
根据TF scatter_nd's文件：
调用tf.scatter_nd(indices, values, shape)与调用tensor_scatter_add(tf.zeros(shape, values.dtype), indices, values)完全相同。
因此，您可以使用应用于np.zeros阵列的np.add.at来重现tf.scatter_nd，请参阅下面的MVCE：

import tensorflow as tf
tf.enable_eager_execution() # Remove this line if working in TF2
import numpy as np
def scatter_nd_numpy(indices, updates, shape):
    target = np.zeros(shape, dtype=updates.dtype)
    indices = tuple(indices.reshape(-1, indices.shape[-1]).T)
    updates = updates.ravel()
    np.add.at(target, indices, updates)
    return target
indices = np.array([[[0, 0], [0, 1]], [[1, 0], [1, 1]]])
updates = np.array([[1, 2], [3, 4]])
shape = (2, 3)
scattered_tf = tf.scatter_nd(indices, updates, shape).numpy()
scattered_np = scatter_nd_numpy(indices, updates, shape)
assert np.allclose(scattered_tf, scattered_np)

注意：正如@denis所指出的，当某些索引重复时，上述解决方案会有所不同，这可以通过使用计数器并仅获取每个重复索引的最后一个来解决。

对于分散，而不是使用切片赋值，如@DomJack所建议的，通常最好使用np.add.at;因为与切片赋值不同，这在存在重复索引的情况下具有定义良好的行为。

前ref和indices是numpy数组：
散点更新：

ref[indices] = updates          # tf.scatter_update(ref, indices, updates)
ref[:, indices] = updates       # tf.scatter_update(ref, indices, updates, axis=1)
ref[..., indices, :] = updates  # tf.scatter_update(ref, indices, updates, axis=-2)
ref[..., indices] = updates     # tf.scatter_update(ref, indices, updates, axis=-1)

集合：

ref[indices]          # tf.gather(ref, indices)
ref[:, indices]       # tf.gather(ref, indices, axis=1)
ref[..., indices, :]  # tf.gather(ref, indices, axis=-2)
ref[..., indices]     # tf.gather(ref, indices, axis=-1)

numpy docs on indexing更多

我做的很像。

def gather(a, dim, index):
    expanded_index = [index if dim==i else np.arange(a.shape[i]).reshape([-1 if i==j else 1 for j in range(a.ndim)]) for i in range(a.ndim)]
    return a[expanded_index]
def scatter(a, dim, index, b): # a inplace
    expanded_index = [index if dim==i else np.arange(a.shape[i]).reshape([-1 if i==j else 1 for j in range(a.ndim)]) for i in range(a.ndim)]
    a[expanded_index] = b

对于聚集操作：np.take（）
https://docs.scipy.org/doc/numpy-1.14.0/reference/generated/numpy.take.html

如果您只是想要相同的功能，而不是从头开始实现它，
numpy.insert()是pytorch中scatter_（dim，index，src）操作的一个足够接近的竞争者，但它只处理一维。