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deeplearning.ai
Face recognition
What is face
recognition?
Andrew Ng
Face recognition
[Courtesy of Baidu]
Andrew Ng
Face verification vs. face recognition
Verification
• Input image, name/ID
• Output whether the input image is that of the
claimed person
Recognition
• Has a database of K persons
• Get an input image
• Output ID if the image is any of the K persons (or
“not recognized”)
deeplearning.ai
Face recognition
One-shot learning
Andrew Ng
One-shot learning
Learning from one
example to recognize the
person again
Andrew Ng
Learning a “similarity” function
d(img1,img2) = degree of difference between images
If d(img1,img2) ≤ -
> -
deeplearning.ai
Face recognition
Siamese network
Andrew Ng
Siamese network
[Taigman et. al., 2014. DeepFace closing the gap to human level performance]
⋮ ⋮
"($)
⋮ ⋮
"(&)
Andrew Ng
Goal of learning
⋮
f("($)
)
⋮
Parameters of NN define an encoding ((" ) )
Learn parameters so that:
If " ) , " + are the same person, f " ) − f " + &
is small.
If " ) , " + are different persons, f " ) − f " + &
is large.
deeplearning.ai
Face recognition
Triplet loss
Andrew Ng
Learning Objective
[Schroff et al.,2015, FaceNet: A unified embedding for face recognition and clustering]
Anchor Positive Anchor Negative
Andrew Ng
Loss function
Training set: 10k pictures of 1k persons
[Schroff et al.,2015, FaceNet: A unified embedding for face recognition and clustering]
Andrew Ng
Choosing the triplets A,P,N
During training, if A,P,N are chosen randomly,
! ", $ + & ≤ !(", )) is easily satisfied.
Choose triplets that’re “hard” to train on.
[Schroff et al.,2015, FaceNet: A unified embedding for face recognition and clustering]
Andrew Ng
Training set using triplet loss
Anchor Positive Negative
⋮ ⋮ ⋮
deeplearning.ai
Face recognition
Face verification and
binary classification
Andrew Ng
Learning the similarity function
⋮
f($(%))
⋮
f($('))
$(%)
$(')
(
)
[Taigman et. al., 2014. DeepFace closing the gap to human level performance]
Andrew Ng
Face verification supervised learning
$ (
1
0
0
1
[Taigman et. al., 2014. DeepFace closing the gap to human level performance]
deeplearning.ai
What is neural style
transfer?
Neural Style
Transfer
Andrew Ng
Neural style transfer
[Images generated by Justin Johnson]
Content Style Style
Content
Generated image Generated image
deeplearning.ai
What are deep
ConvNets learning?
Neural Style
Transfer
Andrew Ng
Visualizing what a deep network is learning
224×224×3
⋮ ⋮ &
'
110×110×96
55×55×96
26×26×256 13×13×256 13×13×384 13×13×384 6×6×256
FC
4096
FC
4096
Pick a unit in layer 1. Find the nine
image patches that maximize the unit’s
activation.
Repeat for other units.
[Zeiler and Fergus., 2013, Visualizing and understanding convolutional networks]
Andrew Ng
Visualizing deep layers
Layer 2 Layer 4
Layer 3 Layer 5
Layer 1
Andrew Ng
Visualizing deep layers: Layer 1
Layer 2 Layer 4
Layer 3 Layer 5
Layer 1
Andrew Ng
Visualizing deep layers: Layer 2
Layer 2 Layer 4
Layer 3 Layer 5
Layer 1
Andrew Ng
Visualizing deep layers: Layer 3
Layer 2 Layer 4
Layer 3 Layer 5
Layer 1
Andrew Ng
Visualizing deep layers: Layer 3
Layer 2 Layer 4
Layer 3 Layer 5
Layer 1
Andrew Ng
Visualizing deep layers: Layer 4
Layer 2 Layer 4
Layer 3 Layer 5
Layer 1
Andrew Ng
Visualizing deep layers: Layer 5
Layer 2 Layer 4
Layer 3 Layer 5
Layer 1
deeplearning.ai
Cost function
Neural Style
Transfer
Andrew Ng
Neural style transfer cost function
Content C Style S
Generated image G
[Gatys et al., 2015. A neural algorithm of artistic style. Images on slide generated by Justin Johnson]
Andrew Ng
Find the generated image G
1. Initiate G randomly
G: 100×100×3
2. Use gradient descent to minimize %(')
[Gatys et al., 2015. A neural algorithm of artistic style]
deeplearning.ai
Content cost
function
Neural Style
Transfer
Andrew Ng
Content cost function
• Say you use hidden layer ! to compute content cost.
" # = % "'()*+)* ,, # + / "0*12+ (4, #)
• Use pre-trained ConvNet. (E.g., VGG network)
• Let 6[2](9)
and 6[2](:)
be the activation of layer !
on the images
• If 6[2](9)
and 6[2](:)
are similar, both images have
similar content
[Gatys et al., 2015. A neural algorithm of artistic style]
deeplearning.ai
Style cost function
Neural Style
Transfer
Andrew Ng
Meaning of the “style” of an image
⋮ "
#
255 134 93 22
123 94 83 2
34 44 187 30
34 76 232 124
67 83 194 142
255 134 202 22
123 94 83 4
34 44 187 192
34 76 232 34
67 83 194 94
255 231 42 22
123 94 83 2
34 44 187 92
34 76 232 124
67 83 194 202
Say you are using layer $’s activation to measure “style.”
Define style as correlation between activations across channels.
How correlated are the activations
across different channels?
%&
%'
%(
[Gatys et al., 2015. A neural algorithm of artistic style]
Andrew Ng
Intuition about style of an image
Style image Generated Image
%&
%'
%(
%&
%'
%(
[Gatys et al., 2015. A neural algorithm of artistic style]
Andrew Ng
Style matrix
Let a*,,,-
[/]
= activation at 2, 3, 4 . 7[/]
is n9
[/]
×n9
[/]
[Gatys et al., 2015. A neural algorithm of artistic style]
Andrew Ng
Style cost function
;<=>/?
/
(A, 7) =
1
2%'
[/]
%&
[/]
%(
[/] E F F(7--G
/ H
− 7--G
/ J
)
-G
-
[Gatys et al., 2015. A neural algorithm of artistic style]
deeplearning.ai
Convolutional
Networks in 1D or 3D
1D and 3D
generalizations of
models
Andrew Ng
Convolutions in 2D and 1D
14×14
2D input image
∗
2D filter
5×5
∗
1 3 10 3 1
1 20 15 3 18 12 4 17
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
3D data
Andrew Ng
Andrew Ng
3D convolution
∗
3D volume
3D filter

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Face recognition face verification one shot learning