CSC 411 Lecture 11: Neural Networks II Roger Grosse, Amir-massoud - - PowerPoint PPT Presentation

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CSC 411 Lecture 11: Neural Networks II Roger Grosse, Amir-massoud - - PowerPoint PPT Presentation

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CSC 411 Lecture 11: Neural Networks II Roger Grosse, Amir-massoud Farahmand, and Juan Carrasquilla University of Toronto CSC411 Lec11 1 / 43 Neural Nets for Visual Object Recognition People are very good at recognizing shapes Intrinsically

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CSC 411 Lecture 11: Neural Networks II

Roger Grosse, Amir-massoud Farahmand, and Juan Carrasquilla

University of Toronto

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Neural Nets for Visual Object Recognition

People are very good at recognizing shapes

◮ Intrinsically difficult, computers are bad at it

Why is it difficult?

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Why is it a Problem?

Difficult scene conditions [From: Grauman & Leibe]

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Why is it a Problem?

Huge within-class variations. Recognition is mainly about modeling variation. [Pic from: S. Lazebnik]

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Why is it a Problem?

Tons of classes [Biederman]

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Neural Nets for Object Recognition

People are very good at recognizing object

◮ Intrinsically difficult, computers are bad at it

Some reasons why it is difficult:

◮ Segmentation: Real scenes are cluttered ◮ Invariances: We are very good at ignoring all sorts of variations that do

not affect class

◮ Deformations: Natural object classes allow variations (faces, letters,

chairs)

◮ A huge amount of computation is required CSC411 Lec11 6 / 43

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How to Deal with Large Input Spaces

How can we apply neural nets to images? Images can have millions of pixels, i.e., x is very high dimensional How many parameters do I have? Prohibitive to have fully-connected layers What can we do? We can use a locally connected layer

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Locally Connected Layer

Example: 200x200 image 40K hidden units Filter size: 10x10 4M parameters

Ranzato

Note: This parameterization is good when input image is registered (e.g., face recognition).

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When Will this Work?

When Will this Work? This is good when the input is (roughly) registered

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General Images

The object can be anywhere

[Slide: Y. Zhu]

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General Images

The object can be anywhere

[Slide: Y. Zhu]

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General Images

The object can be anywhere

[Slide: Y. Zhu]

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The Invariance Problem

Our perceptual systems are very good at dealing with invariances

◮ translation, rotation, scaling ◮ deformation, contrast, lighting

We are so good at this that its hard to appreciate how difficult it is

◮ Its one of the main difficulties in making computers perceive ◮ We still don’t have generally accepted solutions CSC411 Lec11 13 / 43

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STATIONARITY? Statistics is similar at different locations

Ranzato

Note: This parameterization is good when input image is registered (e.g., face recognition).

Locally Connected Layer

Example: 200x200 image 40K hidden units Filter size: 10x10 4M parameters

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The replicated feature approach

The red connections all have the same weight.

5

Adopt approach apparently used in monkey visual systems Use many different copies of the same feature detector.

◮ Copies have slightly different

positions.

◮ Could also replicate across scale and

  • rientation.

◮ Tricky and expensive ◮ Replication reduces the number of

free parameters to be learned. Use several different feature types, each with its own replicated pool of detectors.

◮ Allows each patch of image to be

represented in several ways.

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Convolutional Neural Net

Idea: statistics are similar at different locations (Lecun 1998) Connect each hidden unit to a small input patch and share the weight across space This is called a convolution layer and the network is a convolutional network

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Convolution

Convolution layers are named after the convolution operation. If a and b are two arrays, (a ∗ b)t =

  • τ

aτbt−τ.

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Convolution

“Flip and Filter” interpretation:

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2-D Convolution

2-D convolution is analogous: (A ∗ B)ij =

  • s
  • t

AstBi−s,j−t.

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2-D Convolution

The thing we convolve by is called a kernel, or filter. What does this convolution kernel do?

∗

1 1 4 1 1

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2-D Convolution

What does this convolution kernel do?

∗

  • 1
  • 1

8

  • 1
  • 1

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2-D Convolution

What does this convolution kernel do?

∗

  • 1
  • 1

4

  • 1
  • 1

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2-D Convolution

What does this convolution kernel do?

∗

1

  • 1

2

  • 2

1

  • 1

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Learn multiple filters.

E.g.: 200x200 image 100 Filters Filter size: 10x10 10K parameters

Ranzato

Convolutional Layer

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Convolutional Layer

Figure: Left: CNN, right: Each neuron computes a linear and activation function Hyperparameters of a convolutional layer: The number of filters (controls the depth of the output volume) The stride: how many units apart do we apply a filter spatially (this controls the spatial size of the output volume) The size w × h of the filters

[http://cs231n.github.io/convolutional-networks/] CSC411 Lec11 25 / 43

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By “pooling” (e.g., taking max) filter responses at different locations we gain robustness to the exact spatial location

  • f features.

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Pooling Layer

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Pooling Options

Max Pooling: return the maximal argument Average Pooling: return the average of the arguments Other types of pooling exist.

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Pooling

Figure: Left: Pooling, right: max pooling example Hyperparameters of a pooling layer: The spatial extent F The stride

[http://cs231n.github.io/convolutional-networks/]

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Backpropagation with Weight Constraints

The backprop procedure from last lecture can be applied directly to conv nets. This is covered in csc421. As a user, you don’t need to worry about the details, since they’re handled by automatic differentiation packages.

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LeNet

Here’s the LeNet architecture, which was applied to handwritten digit recognition on MNIST in 1998:

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ImageNet

Imagenet, biggest dataset for object classification: http://image-net.org/ 1000 classes, 1.2M training images, 150K for test

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AlexNet

AlexNet, 2012. 8 weight layers. 16.4% top-5 error (i.e. the network gets 5 tries to guess the right category).

(Krizhevsky et al., 2012)

The two processing pathways correspond to 2 GPUs. (At the time, the network couldn’t fit on one GPU.) AlexNet’s stunning performance on the ILSVRC is what set off the deep learning boom of the last 6 years.

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150 Layers!

Networks are now at 150 layers They use a skip connections with special form In fact, they don’t fit on this screen Amazing performance! A lot of “mistakes” are due to wrong ground-truth

[He, K., Zhang, X., Ren, S. and Sun, J., 2015. Deep Residual Learning for Image Recognition. arXiv:1512.03385, 2016] CSC411 Lec11 33 / 43

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Results: Object Classification

Slide: R. Liao, Paper: [He, K., Zhang, X., Ren, S. and Sun, J., 2015. Deep Residual Learning for Image Recognition. arXiv:1512.03385, 2016] CSC411 Lec11 34 / 43

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Results: Object Detection

Slide: R. Liao, Paper: [He, K., Zhang, X., Ren, S. and Sun, J., 2015. Deep Residual Learning for Image Recognition. arXiv:1512.03385, 2016] CSC411 Lec11 35 / 43

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Results: Object Detection

Slide: R. Liao, Paper: [He, K., Zhang, X., Ren, S. and Sun, J., 2015. Deep Residual Learning for Image Recognition. arXiv:1512.03385, 2016] CSC411 Lec11 36 / 43

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Results: Object Detection

Slide: R. Liao, Paper: [He, K., Zhang, X., Ren, S. and Sun, J., 2015. Deep Residual Learning for Image Recognition. arXiv:1512.03385, 2016] CSC411 Lec11 37 / 43

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Results: Object Detection

Slide: R. Liao, Paper: [He, K., Zhang, X., Ren, S. and Sun, J., 2015. Deep Residual Learning for Image Recognition. arXiv:1512.03385, 2016] CSC411 Lec11 38 / 43

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What do CNNs Learn?

Figure: Filters in the first convolutional layer of Krizhevsky et al

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What do CNNs Learn?

Figure: Filters in the second layer

[http://arxiv.org/pdf/1311.2901v3.pdf]

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What do CNNs Learn?

Figure: Filters in the third layer

[http://arxiv.org/pdf/1311.2901v3.pdf]

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What do CNNs Learn?

[http://arxiv.org/pdf/1311.2901v3.pdf]

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Links

Great course dedicated to NN: http://cs231n.stanford.edu Over source frameworks:

◮ Pytorch http://pytorch.org/ ◮ Tensorflow https://www.tensorflow.org/ ◮ Caffe http://caffe.berkeleyvision.org/

Most cited NN papers: https://github.com/terryum/awesome-deep-learning-papers

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