浅谈keras中的batch_dot,dot方法和TensorFlow的matmul

概述

在使用keras中的keras.backend.batch_dot和tf.matmul实现功能其实是一样的智能矩阵乘法,比如A,B,C,D,E,F,G,H,I,J,K,L都是二维矩阵,中间点表示矩阵乘法,AG 表示矩阵A 和G 矩阵乘法(A 的列维度等于G 行维度),WX=Z

import keras.backend as K

import tensorflow as tf

import numpy as np

w = K.variable(np.random.randint(10,size=(10,12,4,5)))

k = K.variable(np.random.randint(10,size=(10,12,5,8)))

z = K.batch_dot(w,k)

print(z.shape) #(10, 12, 4, 8)

import keras.backend as K

import tensorflow as tf

import numpy as np

w = tf.Variable(np.random.randint(10,size=(10,12,4,5)),dtype=tf.float32)

k = tf.Variable(np.random.randint(10,size=(10,12,5,8)),dtype=tf.float32)

z = tf.matmul(w,k)

print(z.shape) #(10, 12, 4, 8)

示例

from keras import backend as K

a = K.ones((3,4,5,2))

b = K.ones((2,5,3,7))

c = K.dot(a, b)

print(c.shape)

会输出:

ValueError: Dimensions must be equal, but are 2 and 3 for ‘MatMul' (op: ‘MatMul') with input shapes: [60,2], [3,70].

from keras import backend as K

a = K.ones((3,4))

b = K.ones((4,5))

c = K.dot(a, b)

print(c.shape)#(3,5)

或者

import tensorflow as tf

a = tf.ones((3,4))

b = tf.ones((4,5))

c = tf.matmul(a, b)

print(c.shape)#(3,5)

如果增加维度:

from keras import backend as K

a = K.ones((2,3,4))

b = K.ones((7,4,5))

c = K.dot(a, b)

print(c.shape)#(2, 3, 7, 5)

这个矩阵乘法会沿着两个矩阵最后两个维度进行乘法,不是element-wise矩阵乘法

from keras import backend as K

a = K.ones((1, 2, 3 , 4))

b = K.ones((8, 7, 4, 5))

c = K.dot(a, b)

print(c.shape)#(1, 2, 3, 8, 7, 5)

keras的dot方法是Theano中的复制

from keras import backend as K

a = K.ones((1, 2, 4))

b = K.ones((8, 7, 4, 5))

c = K.dot(a, b)

print(c.shape)# (1, 2, 8, 7, 5).

from keras import backend as K

a = K.ones((9, 8, 7, 4, 2))

b = K.ones((9, 8, 7, 2, 5))

c = K.batch_dot(a, b)

print(c.shape) #(9, 8, 7, 4, 5)

或者

import tensorflow as tf

a = tf.ones((9, 8, 7, 4, 2))

b = tf.ones((9, 8, 7, 2, 5))

c = tf.matmul(a, b)

print(c.shape) #(9, 8, 7, 4, 5)

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