TensorFlow2-維度變換


TensorFlow2-維度變換

Outline(大綱)

  • shape, ndim

  • reshape

  • expand_dims/squeeze

  • transpose

圖片視圖

  • [b, 28, 28] # 保存b張圖片,28行,28列(保存數據一般行優先),圖片的數據沒有被破壞
  • [b, 28*28] # 保存b張圖片,不考慮圖片的行和列,只保存圖片的數據,不關注圖片數據的細節
  • [b, 2, 14*28] # 保存b張圖片,把圖片分為上下兩個部分,兩個部分具體多少行是不清楚的
  • [b, 28, 28, 1] # 保存b張圖片,28行,28列,1個通道

First Reshape(重塑視圖)

import tensorflow as tf
a = tf.random.normal([4, 28, 28, 3])
a.shape, a.ndim
(TensorShape([4, 28, 28, 3]), 4)
tf.reshape(a, [4, 784, 3]).shape  # 給出一張圖片某個通道的數據,丟失行、寬的信息
TensorShape([4, 784, 3])
tf.reshape(a, [4, -1, 3]).shape  # 4*(-1)*3 = 4*28*28*3
TensorShape([4, 784, 3])
tf.reshape(a, [4, 784*3]).shape  # 給出一張圖片的所有數據,丟失行、寬和通道的信息
TensorShape([4, 2352])
tf.reshape(a, [4, -1]).shape
TensorShape([4, 2352])

Second Reshape(恢復視圖)

tf.reshape(tf.reshape(a, [4, -1]), [4, 28, 28, 3]).shape
TensorShape([4, 28, 28, 3])
tf.reshape(tf.reshape(a, [4, -1]), [4, 14, 56, 3]).shape
TensorShape([4, 14, 56, 3])
tf.reshape(tf.reshape(a, [4, -1]), [4, 1, 784, 3]).shape
TensorShape([4, 1, 784, 3])

first reshape:

  • images: [4,28,28,3]
  • reshape to: [4,784,3]

second reshape:

  • [4,784,3]  height:28,width:28  [4,28,28,3] √
  • [4,784,3]  height:14,width:56  [4,14,56,3] ×
  • [4,784,3]  width:28,height:28  [4,28,28,3] ×

Transpose(轉置)

a = tf.random.normal((4, 3, 2, 1))
a.shape
TensorShape([4, 3, 2, 1])
tf.transpose(a).shape
TensorShape([1, 2, 3, 4])
tf.transpose(a, perm=[0, 1, 3, 2]).shape  # 按照索引替換維度
TensorShape([4, 3, 1, 2])
a = tf.random.normal([4, 28, 28, 3])  # b,h,w,c
a.shape
TensorShape([4, 28, 28, 3])
tf.transpose(a, [0, 2, 1, 3]).shape  # b,2,h,c
TensorShape([4, 28, 28, 3])
tf.transpose(a, [0, 3, 2, 1]).shape  # b,c,w,h
TensorShape([4, 3, 28, 28])
tf.transpose(a, [0, 3, 1, 2]).shape  # b,c,h,w
TensorShape([4, 3, 28, 28])

Expand_dims(增加維度)

  • a:[classes, students, classes]

add school dim(增加學校的維度):

  • [1, 4, 35, 8] + [1, 4, 35, 8] = [2, 4, 35, 8]
a = tf.random.normal([4, 25, 8])
a.shape
TensorShape([4, 25, 8])
tf.expand_dims(a, axis=0).shape  # 索引0前
TensorShape([1, 4, 25, 8])
tf.expand_dims(a, axis=3).shape  # 索引3前
TensorShape([4, 25, 8, 1])
tf.expand_dims(a,axis=-1).shape  # 索引-1后
TensorShape([4, 25, 8, 1])
tf.expand_dims(a,axis=-4).shape  # 索引-4后,即左邊空白處
TensorShape([1, 4, 25, 8])

Squeeze(擠壓維度)

Only squeeze for shape = 1 dim(只刪除維度為1的維度)

  • [4, 35, 8, 1] = [4, 35, 8]
  • [1, 4, 35, 8] = [14, 35, 8]
  • [1, 4, 35, 1] = [4, 35, 8]
tf.squeeze(tf.zeros([1,2,1,1,3])).shape
TensorShape([2, 3])
a = tf.zeros([1,2,1,3])
a.shape
TensorShape([1, 2, 1, 3])
tf.squeeze(a,axis=0).shape
TensorShape([2, 1, 3])
tf.squeeze(a,axis=2).shape
TensorShape([1, 2, 3])
tf.squeeze(a,axis=-2).shape
TensorShape([1, 2, 3])
tf.squeeze(a,axis=-4).shape
TensorShape([2, 1, 3])


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