Introduction to Convolutional Neural Networks
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This document provides an introduction and overview of convolutional neural networks (CNNs). It discusses the key operations in a CNN including convolution, nonlinearity, pooling, and fully connected layers. Convolution extracts features from input images using small filters that preserve spatial relationships between pixels. Pooling reduces the dimensionality of feature maps. The network is trained end-to-end using backpropagation to update filter weights and minimize errors between predicted and true outputs. Visualizing CNNs helps understand how they learn features from images to perform classification.
Introduction to Convolutional Neural Networks
- 2. Hello! I am Frederick Apina Machine Learning Engineer @ParrotAI I am here because I love to give presentations. 2
- 3. “When I think about strong innovations in term of automation, cognitive computing, and artificial intelligence, they will be coming a lot from Tanzania as well.” 3
- 5. 5 CNN Convolutional Neural Networks (ConvNets or CNNs) are a category of Neural Networks that have proven very effective in areas such as image recognition and classification. ConvNets have been successful in identifying faces, objects and traffic signs apart from powering vision in robots and self driving cars.
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- 7. 7 There are four main operations in the ConvNet 1. Convolution 2. Non Linearity (ReLU) 3. Pooling or Sub Sampling 4. Classification (Fully Connected Layer)
- 8. 8 An Image is a matrix of pixel values
- 9. 9 Channel is a conventional term used to refer to a certain component of an image. An image from a standard digital camera will have three channels – red, green and blue – you can imagine those as three 2d-matrices stacked over each other (one for each color), each having pixel values in the range 0 to 255
- 10. 10 A grayscale image, on the other hand, has just one channel. For the purpose of this post, we will only consider grayscale images, so we will have a single 2d matrix representing an image. The value of each pixel in the matrix will range from 0 to 255 – zero indicating black and 255 indicating white.
- 11. 11 The Convolution Step ConvNets derive their name from the “convolution” operator. The primary purpose of Convolution in case of a ConvNet is to extract features from the input image. Convolution preserves the spatial relationship between pixels by learning image features using small squares of input data. 5x5 matrix 3x3 matrix
- 12. 12 In CNN terminology, the 3×3 matrix is called a ‘filter‘ or ‘kernel’ or ‘feature detector’ and the matrix formed by sliding the filter over the image and computing the dot product is called the ‘Convolved Feature’ or ‘Activation Map’ or the ‘Feature Map‘. Take this image
- 13. 13 In practice, a CNN learns the values of these filters on its own during the training process (although we still need to specify parameters such as number of filters, filter size, architecture of the network etc. before the training process). The more number of filters we have, the more image features get extracted and the better our network becomes at recognizing patterns in unseen image The size of the Feature Map (Convolved Feature) is controlled by three parameters that we need to decide before the convolution step is performed: 1. Depth 2. Stride 3. Zero-padding
- 14. Introduction to Non-Linearlity ReLU stands for Rectified Linear Unit and is a non-linear operation. Its output is given by:
- 15. 15 ReLU is an element wise operation (applied per pixel) and replaces all negative pixel values in the feature map by zero. The purpose of ReLU is to introduce non-linearity in our ConvNet, since most of the real-world data we would want our ConvNet to learn would be non-linear.
- 16. The Pooling step Spatial Pooling (also called subsampling or downsampling) reduces the dimensionality of each feature map but retains the most important information. Spatial Pooling can be of different types: Max, Average, Sum etc.
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- 19. 19 The function of Pooling is to progressively reduce the spatial size of the input representation. In particular, pooling; 1. makes the input representations (feature dimension) smaller and more manageable 2. reduces the number of parameters and computations in the network, therefore, controlling overfitting. 3. makes the network invariant to small transformations, distortions and translations in the input image (a small distortion in input will not change the output of Pooling – since we take the maximum / average value in a local neighborhood).
- 20. Full Connected Layer The term “Fully Connected” implies that every neuron in the previous layer is connected to every neuron on the next layer. The output from the convolutional and pooling layers represent high-level features of the input image. The purpose of the Fully Connected layer is to use these features for classifying the input image into various classes based on the training dataset.
- 21. Putting it all together – Training using Backpropagation The Convolution + Pooling layers act as Feature Extractors from the input image while Fully Connected layer acts as a classifier. The output from the convolutional and pooling layers represent high-level features of the input image. The purpose of the Fully Connected layer is to use these features for classifying the input image into various classes based on the training dataset.
- 22. 22 The overall training process of the Convolution Network may be summarized as below: • Step1: We initialize all filters and parameters / weights with random values • Step2: The network takes a training image as input, goes through the forward propagation step (convolution, ReLU and pooling operations along with forward propagation in the Fully Connected layer) and finds the output probabilities for each class. • Step3: Calculate the total error at the output layer (summation over all 4 classes) Total Error = ∑ ½ (target probability – output probability) ² • Step4: Use Backpropagation to calculate the gradients of the error with respect to all weights in the network and use gradient descent to update all filter values / weights and parameter values to minimize the output error. • Step5: Repeat steps 2-4 with all images in the training set.
- 23. Visualizing Convolutional Neural Networks
- 24. Deep Learning is an continuously-growing and a relatively new concept, the vast amount of resources can be a touch overwhelming for those either looking to get into the field, or those already engraved in it. A good way of cooping is to get a good general knowledge of machine learning and then find a good structured path to follow (be a project or research). 24 Conclusion
- 25. 25 Thanks! Any questions? You can find me at: ✗ [email protected]