索引和切片

目錄

• 索引和切片
• 索引
  • numpy [ ] 索引
  • numpy : 索引
• 切片
  • 一維切片
  • 多維切片
  • 步長::step
  • 倒序::-1
  • 省略號...
  • Selective Indexing
  • gather
  • gather_nd
  • boolean_mask

索引和切片

索引

numpy [ ] 索引

import tensorflow as tf

a = tf.ones([1, 5, 5, 3])
a.shape

TensorShape([1, 5, 5, 3])

a[0][0]

<tf.Tensor: id=767, shape=(5, 3), dtype=float32, numpy=
array([[1., 1., 1.],
       [1., 1., 1.],
       [1., 1., 1.],
       [1., 1., 1.],
       [1., 1., 1.]], dtype=float32)>

a[0][0][0]

<tf.Tensor: id=780, shape=(3,), dtype=float32, numpy=array([1., 1., 1.], dtype=float32)>

a[0][0][0][2]

<tf.Tensor: id=797, shape=(), dtype=float32, numpy=1.0>

numpy : 索引

a = tf.random.normal([4, 28, 28, 3])
a.shape

TensorShape([4, 28, 28, 3])

a[1].shape

TensorShape([28, 28, 3])

a[1, 2].shape

TensorShape([28, 3])

a[1][2][3].shape

TensorShape([3])

a[1, 2, 3, 2].shape

TensorShape([])

切片

一維切片

a = tf.range(10)
a

<tf.Tensor: id=832, shape=(10,), dtype=int32, numpy=array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=int32)>

a[-1:]

<tf.Tensor: id=837, shape=(1,), dtype=int32, numpy=array([9], dtype=int32)>

a[-2:]

<tf.Tensor: id=842, shape=(2,), dtype=int32, numpy=array([8, 9], dtype=int32)>

a[:2]

<tf.Tensor: id=847, shape=(2,), dtype=int32, numpy=array([0, 1], dtype=int32)>

a[:-1]

<tf.Tensor: id=852, shape=(9,), dtype=int32, numpy=array([0, 1, 2, 3, 4, 5, 6, 7, 8], dtype=int32)>

多維切片

a = tf.random.normal([4, 28, 28, 3])
a.shape

TensorShape([4, 28, 28, 3])

a[0].shape

TensorShape([28, 28, 3])

a[0, :, :, :].shape

TensorShape([28, 28, 3])

a[0, 1, :, :].shape

TensorShape([28, 3])

a[:, :, :, 0].shape

TensorShape([4, 28, 28])

a[:, :, :, 2].shape

TensorShape([4, 28, 28])

a[:, 0, :, :]    .shape

TensorShape([4, 28, 3])

步長::step

start🔚step

::step

a = tf.random.normal([4, 28, 28, 3])
a.shape

TensorShape([4, 28, 28, 3])

a[0:2, :, :, :].shape

TensorShape([2, 28, 28, 3])

a[:, 0:28:2, 0:28:2, :].shape

TensorShape([4, 14, 14, 3])

a[:, :14, :14, :].shape

TensorShape([4, 14, 14, 3])

a[:, 14:, 14:, :].shape

TensorShape([4, 14, 14, 3])

a[:, ::2, ::2, :].shape

TensorShape([4, 14, 14, 3])

倒序::-1

a = tf.range(4)
a

<tf.Tensor: id=913, shape=(4,), dtype=int32, numpy=array([0, 1, 2, 3], dtype=int32)>

a[::-1]

<tf.Tensor: id=918, shape=(4,), dtype=int32, numpy=array([3, 2, 1, 0], dtype=int32)>

a[::-2]

<tf.Tensor: id=923, shape=(2,), dtype=int32, numpy=array([3, 1], dtype=int32)>

a[2::-2]

<tf.Tensor: id=928, shape=(2,), dtype=int32, numpy=array([2, 0], dtype=int32)>

省略號...

a = tf.random.normal([2, 4, 28, 28, 3])
a.shape

TensorShape([2, 4, 28, 28, 3])

a[0].shape

TensorShape([4, 28, 28, 3])

a[0, :, :, :, :].shape

TensorShape([4, 28, 28, 3])

a[0, ...].shape

TensorShape([4, 28, 28, 3])

a[:, :, :, :, 0].shape

TensorShape([2, 4, 28, 28])

a[..., 0].shape

TensorShape([2, 4, 28, 28])

a[0, ..., 2].shape

TensorShape([4, 28, 28])

a[1, 0, ..., 0].shape

TensorShape([28, 28])

Selective Indexing

• tf.gather：收集特定行
• tf.gather_nd
• tf.boolean_mask

data: [classes, students, subjects]

gather

a = tf.random.normal([4, 35, 8])
a.shape

TensorShape([4, 35, 8])

tf.gather(a, axis=0, indices=[2, 3]).shape

TensorShape([2, 35, 8])

a[2:4].shape

TensorShape([2, 35, 8])

tf.gather(a, axis=0, indices=[2, 1, 3, 0]).shape

TensorShape([4, 35, 8])

tf.gather(a, axis=1, indices=[2, 3, 7, 9, 16]).shape

TensorShape([4, 5, 8])

tf.gather(a, axis=2, indices=[2, 3, 7]).shape

TensorShape([4, 35, 3])

aa = tf.gather(a,axis,[several students])
aaa = tf.gather(aa,axis,[several subjects])

gather_nd

[class1_student1,class2_student2,class3_student3,class4_student4]

a = tf.random.normal([4, 35, 8])
a.shape

TensorShape([4, 35, 8])

tf.gather_nd(a, [0]).shape  # [[0],[],[]]

TensorShape([35, 8])

tf.gather_nd(a, [0, 1]).shape

TensorShape([8])

tf.gather_nd(a, [0, 1, 2]).shape

TensorShape([])

tf.gather_nd(a, [[0, 1, 2]]).shape

TensorShape([1])

tf.gather_nd(a, [[0, 0], [1, 1]]).shape

TensorShape([2, 8])

tf.gather_nd(a, [[0, 0], [1, 1], [2, 2]]).shape

TensorShape([3, 8])

# 第一個班級第一個學生的第一門課
# 第二個班級第二個學生的第二門課
# 第三個班級第三個學生的第三門課
tf.gather_nd(a, [[0, 0, 0], [1, 1, 1], [2, 2, 2]]).shape

TensorShape([3])

tf.gather_nd(a, [[[0, 0, 0], [1, 1, 1], [2, 2, 2]]]).shape

TensorShape([1, 3])

boolean_mask

a = tf.random.normal([4, 28, 28, 3])
a.shape

TensorShape([4, 28, 28, 3])

tf.boolean_mask(a, mask=[True, True, False, False]).shape

TensorShape([2, 28, 28, 3])

tf.boolean_mask(a, mask=[True, True, False], axis=3).shape

TensorShape([4, 28, 28, 2])

a = tf.ones([2, 3, 4])
a.shape

TensorShape([2, 3, 4])

# [2,3]，還剩下4，三個True，所以是3*4True
tf.boolean_mask(a, mask=[[True, False, False], [False, True, True]]).shape

TensorShape([3, 4])