Deep learning is rapidly gaining steam as more and more research papers emerge from around the world. These papers undoubtedly contain a ton of information, but they can often be difficult to parse through. And to understand them, you might have to go through that paper multiple number of times (and perhaps even other dependent papers!).
This is truly a daunting task for non-academicians like us.
Personally, I find the task of going through a research paper, interpreting the crux behind it, and implementing the code as an important skill every deep learning enthusiast and practitioner should possess. Practically implementing research ideas brings out the thought process of the author and also helps transform those ideas into real-world industry applications.
So in this article (and the subsequent series of articles) my motive of writing is two-fold:
- Enable the readers to keep abreast with cutting edge research by breaking down deep learning papers into understandable concepts
- Learn to convert research ideas to code myself, and encourage people to do so simultaneously
This article assumes that you have a good grasp on the basics of deep learning. In case you don’t, or simply need a refresher, check out the below articles first and then head back here pronto:
- Fundamentals of Deep Learning – Starting with Artificial Neural Network
- Tutorial: Optimizing Neural Networks using Keras
Table of Contents
- Summary of the “Going Deeper with Convolutions” Paper
- Objective of the Paper
- Proposed Architectural Details
- Training Methodology
- Implementation of GoogLeNet in Keras
Summary of the “Going Deeper with Convolutions” Paper
This article focuses on the paper “Going deeper with convolutions” from which the hallmark idea of inception network came out. Inception network was once considered a state-of-the-art deep learning architecture (or model) for solving image recognition and detection problems.
It put forward a breakthrough performance on the ImageNet Visual Recognition Challenge (in 2014), which is a reputed platform for benchmarking image recognition and detection algorithms. Along with this, it set off a ton of research in the creation of new deep learning architectures with innovative and impactful ideas.
We will go through the main ideas and suggestions propounded in the aforementioned paper and try to grasp the techniques within. In the words of the author:
“In this paper, we will focus on an efficient deep neural network architecture for computer vision, code named Inception, which derives its name from (…) the famous “we need to go deeper” internet meme.”
That does sound intriguing, doesn’t it? Well, read on then!
Objective of the Paper
There’s a simple but powerful way of creating better deep learning models. You can just make a bigger model, either in terms of deepness, i.e., number of layers, or the number of neurons in each layer. But as you can imagine, this can often create complications:
- Bigger the model, more prone it is to overfitting. This is particularly noticeable when the training data is small
- Increasing the number of parameters means you need to increase your existing computational resources
A solution for this, as the paper suggests, is to move on to sparsely connected network architectures which will replace fully connected network architectures, especially inside convolutional layers. This idea can be conceptualized in the below images:
This paper proposes a new idea of creating deep architectures. This approach lets you maintain the “computational budget”, while increasing the depth and width of the network. Sounds too good to be true! This is how the conceptualized idea looks:
Let us look at the proposed architecture in a bit more detail.
Proposed Architectural Details
The paper proposes a new type of architecture – GoogLeNet or Inception v1. It is basically a convolutional neural network (CNN) which is 27 layers deep. Below is the model summary:
Notice in the above image that there is a layer called inception layer. This is actually the main idea behind the paper’s approach. The inception layer is the core concept of a sparsely connected architecture.
Let me explain in a bit more detail what an inception layer is all about. Taking an excerpt from the paper:
“(Inception Layer) is a combination of all those layers (namely, 1×1 Convolutional layer, 3×3 Convolutional layer, 5×5 Convolutional layer) with their output filter banks concatenated into a single output vector forming the input of the next stage.”
Along with the above-mentioned layers, there are two major add-ons in the original inception layer:
- 1×1 Convolutional layer before applying another layer, which is mainly used for dimensionality reduction
- A parallel Max Pooling layer, which provides another option to the inception layer
To understand the importance of the inception layer’s structure, the author calls on the Hebbian principle from human learning. This says that “neurons that fire together, wire together”. The author suggests that when creating a subsequent layer in a deep learning model, one should pay attention to the learnings of the previous layer.
Suppose, for example, a layer in our deep learning model has learned to focus on individual parts of a face. The next layer of the network would probably focus on the overall face in the image to identify the different objects present there. Now to actually do this, the layer should have the appropriate filter sizes to detect different objects.
This is where the inception layer comes to the fore. It allows the internal layers to pick and choose which filter size will be relevant to learn the required information. So even if the size of the face in the image is different (as seen in the images below), the layer works accordingly to recognize the face. For the first image, it would probably take a higher filter size, while it’ll take a lower one for the second image.
The overall architecture, with all the specifications, looks like this:
Note that this architecture came about largely due to the authors participating in an image recognition and detection challenge. Hence there are quite a few “bells and whistles” which they have explained in the paper. These include:
- The hardware they used to train the models
- The data augmentation technique for creating the training dataset
- The hyperparameters of the neural network, like the optimization technique and the learning rate schedule
- Auxiliary training required for training the model
- Ensembling techniques they used to build the final submission
Among this, the auxiliary training done by the authors is quite interesting and novel in nature. So we will focus on that for now. The details for the rest of the techniques can be taken from the paper itself, or in the implementation which we will see below.
To prevent the middle part of the network from “dying out”, the authors introduced two auxiliary classifiers (the purple boxes in the image). They essentially applied softmax to the outputs of two of the inception modules, and computed an auxiliary loss over the same labels. The total loss function is a weighted sum of the auxiliary loss and the real loss. The weight value used in the paper was 0.3 for each auxiliary loss.
Implementation of GoogLeNet in Keras
Now that you have understood the architecture of GoogLeNet and the intuition behind it, it’s time to power up Python and implement our learnings using Keras! We will use the CIFAR-10 dataset for this purpose.
CIFAR-10 is a popular image classification dataset. It consists of 60,000 images of 10 classes (each class is represented as a row in the above image). The dataset is divided into 50,000 training images and 10,000 test images.
Note that you must have the required libraries installed to implement the code we will see in this section. This includes Keras and TensorFlow (as a back-end for Keras). You can refer to the official installation guide in case you don’t have Keras already installed on your machine.
Now that we have dealt with the prerequisites, we can finally start coding the theory we covered in the earlier sections. The first thing we need to do is import all the necessary libraries and modules which we will use throughout the code.
import keras from keras.layers.core import Layer import keras.backend as K import tensorflow as tf from keras.datasets import cifar10
from keras.models import Model from keras.layers import Conv2D, MaxPool2D, \ Dropout, Dense, Input, concatenate, \ GlobalAveragePooling2D, AveragePooling2D,\ Flatten import cv2 import numpy as np from keras.datasets import cifar10 from keras import backend as K from keras.utils import np_utils import math from keras.optimizers import SGD from keras.callbacks import LearningRateScheduler
num_classes = 10 def load_cifar10_data(img_rows, img_cols): # Load cifar10 training and validation sets (X_train, Y_train), (X_valid, Y_valid) = cifar10.load_data() # Resize training images X_train = np.array([cv2.resize(img, (img_rows,img_cols)) for img in X_train[:,:,:,:]]) X_valid = np.array([cv2.resize(img, (img_rows,img_cols)) for img in X_valid[:,:,:,:]]) # Transform targets to keras compatible format Y_train = np_utils.to_categorical(Y_train, num_classes) Y_valid = np_utils.to_categorical(Y_valid, num_classes) X_train = X_train.astype('float32') X_valid = X_valid.astype('float32') # preprocess data X_train = X_train / 255.0 X_valid = X_valid / 255.0 return X_train, Y_train, X_valid, Y_valid
X_train, y_train, X_test, y_test = load_cifar10_data(224, 224)
def inception_module(x, filters_1x1, filters_3x3_reduce, filters_3x3, filters_5x5_reduce, filters_5x5, filters_pool_proj, name=None): conv_1x1 = Conv2D(filters_1x1, (1, 1), padding='same', activation='relu', kernel_initializer=kernel_init, bias_initializer=bias_init)(x) conv_3x3 = Conv2D(filters_3x3_reduce, (1, 1), padding='same', activation='relu', kernel_initializer=kernel_init, bias_initializer=bias_init)(x) conv_3x3 = Conv2D(filters_3x3, (3, 3), padding='same', activation='relu', kernel_initializer=kernel_init, bias_initializer=bias_init)(conv_3x3) conv_5x5 = Conv2D(filters_5x5_reduce, (1, 1), padding='same', activation='relu', kernel_initializer=kernel_init, bias_initializer=bias_init)(x) conv_5x5 = Conv2D(filters_5x5, (5, 5), padding='same', activation='relu', kernel_initializer=kernel_init, bias_initializer=bias_init)(conv_5x5) pool_proj = MaxPool2D((3, 3), strides=(1, 1), padding='same')(x) pool_proj = Conv2D(filters_pool_proj, (1, 1), padding='same', activation='relu', kernel_initializer=kernel_init, bias_initializer=bias_init)(pool_proj) output = concatenate([conv_1x1, conv_3x3, conv_5x5, pool_proj], axis=3, name=name) return output
kernel_init = keras.initializers.glorot_uniform() bias_init = keras.initializers.Constant(value=0.2)
input_layer = Input(shape=(224, 224, 3)) x = Conv2D(64, (7, 7), padding='same', strides=(2, 2), activation='relu', name='conv_1_7x7/2', kernel_initializer=kernel_init, bias_initializer=bias_init)(input_layer) x = MaxPool2D((3, 3), padding='same', strides=(2, 2), name='max_pool_1_3x3/2')(x) x = Conv2D(64, (1, 1), padding='same', strides=(1, 1), activation='relu', name='conv_2a_3x3/1')(x) x = Conv2D(192, (3, 3), padding='same', strides=(1, 1), activation='relu', name='conv_2b_3x3/1')(x) x = MaxPool2D((3, 3), padding='same', strides=(2, 2), name='max_pool_2_3x3/2')(x) x = inception_module(x, filters_1x1=64, filters_3x3_reduce=96, filters_3x3=128, filters_5x5_reduce=16, filters_5x5=32, filters_pool_proj=32, name='inception_3a') x = inception_module(x, filters_1x1=128, filters_3x3_reduce=128, filters_3x3=192, filters_5x5_reduce=32, filters_5x5=96, filters_pool_proj=64, name='inception_3b') x = MaxPool2D((3, 3), padding='same', strides=(2, 2), name='max_pool_3_3x3/2')(x) x = inception_module(x, filters_1x1=192, filters_3x3_reduce=96, filters_3x3=208, filters_5x5_reduce=16, filters_5x5=48, filters_pool_proj=64, name='inception_4a') x1 = AveragePooling2D((5, 5), strides=3)(x) x1 = Conv2D(128, (1, 1), padding='same', activation='relu')(x1) x1 = Flatten()(x1) x1 = Dense(1024, activation='relu')(x1) x1 = Dropout(0.7)(x1) x1 = Dense(10, activation='softmax', name='auxilliary_output_1')(x1) x = inception_module(x, filters_1x1=160, filters_3x3_reduce=112, filters_3x3=224, filters_5x5_reduce=24, filters_5x5=64, filters_pool_proj=64, name='inception_4b') x = inception_module(x, filters_1x1=128, filters_3x3_reduce=128, filters_3x3=256, filters_5x5_reduce=24, filters_5x5=64, filters_pool_proj=64, name='inception_4c') x = inception_module(x, filters_1x1=112, filters_3x3_reduce=144, filters_3x3=288, filters_5x5_reduce=32, filters_5x5=64, filters_pool_proj=64, name='inception_4d') x2 = AveragePooling2D((5, 5), strides=3)(x) x2 = Conv2D(128, (1, 1), padding='same', activation='relu')(x2) x2 = Flatten()(x2) x2 = Dense(1024, activation='relu')(x2) x2 = Dropout(0.7)(x2) x2 = Dense(10, activation='softmax', name='auxilliary_output_2')(x2) x = inception_module(x, filters_1x1=256, filters_3x3_reduce=160, filters_3x3=320, filters_5x5_reduce=32, filters_5x5=128, filters_pool_proj=128, name='inception_4e') x = MaxPool2D((3, 3), padding='same', strides=(2, 2), name='max_pool_4_3x3/2')(x) x = inception_module(x, filters_1x1=256, filters_3x3_reduce=160, filters_3x3=320, filters_5x5_reduce=32, filters_5x5=128, filters_pool_proj=128, name='inception_5a') x = inception_module(x, filters_1x1=384, filters_3x3_reduce=192, filters_3x3=384, filters_5x5_reduce=48, filters_5x5=128, filters_pool_proj=128, name='inception_5b') x = GlobalAveragePooling2D(name='avg_pool_5_3x3/1')(x) x = Dropout(0.4)(x) x = Dense(10, activation='softmax', name='output')(x)
model = Model(input_layer, [x, x1, x2], name='inception_v1')
__________________________________________________________________________________________________ Layer (type) Output Shape Param # Connected to ================================================================================================== input_1 (InputLayer) (None, 224, 224, 3) 0 __________________________________________________________________________________________________ conv_1_7x7/2 (Conv2D) (None, 112, 112, 64) 9472 input_1 __________________________________________________________________________________________________ max_pool_1_3x3/2 (MaxPooling2D) (None, 56, 56, 64) 0 conv_1_7x7/2 __________________________________________________________________________________________________ norm1 (LRN2D) (None, 56, 56, 64) 0 max_pool_1_3x3/2 __________________________________________________________________________________________________ ... ... ... dropout_3 (Dropout) (None, 1024) 0 avg_pool_5_3x3/1 __________________________________________________________________________________________________ dropout_1 (Dropout) (None, 1024) 0 dense_1 __________________________________________________________________________________________________ dropout_2 (Dropout) (None, 1024) 0 dense_2 __________________________________________________________________________________________________ output (Dense) (None, 10) 10250 dropout_3 __________________________________________________________________________________________________ auxilliary_output_1 (Dense) (None, 10) 10250 dropout_1 __________________________________________________________________________________________________ auxilliary_output_2 (Dense) (None, 10) 10250 dropout_2 ================================================================================================== Total params: 10,334,030 Trainable params: 10,334,030 Non-trainable params: 0 __________________________________________________________________________________________________
- Loss function for each output layer
- Weightage assigned to that output layer
- Optimization function, which is modified to include a weight decay after every 8 epochs
- Evaluation metric
epochs = 25 initial_lrate = 0.01 def decay(epoch, steps=100): initial_lrate = 0.01 drop = 0.96 epochs_drop = 8 lrate = initial_lrate * math.pow(drop, math.floor((1+epoch)/epochs_drop)) return lrate sgd = SGD(lr=initial_lrate, momentum=0.9, nesterov=False) lr_sc = LearningRateScheduler(decay, verbose=1) model.compile(loss=['categorical_crossentropy', 'categorical_crossentropy', 'categorical_crossentropy'], loss_weights=[1, 0.3, 0.3], optimizer=sgd, metrics=['accuracy'])
history = model.fit(X_train, [y_train, y_train, y_train], validation_data=(X_test, [y_test, y_test, y_test]), epochs=epochs, batch_size=256, callbacks=[lr_sc])
Train on 50000 samples, validate on 10000 samples Epoch 1/25 Epoch 00001: LearningRateScheduler reducing learning rate to 0.01. 50000/50000 [==============================] - 188s 4ms/step - loss: 3.7140 - output_loss: 2.3280 - auxilliary_output_1_loss: 2.3101 - auxilliary_output_2_loss: 2.3099 - output_acc: 0.1030 - auxilliary_output_1_acc: 0.1029 - auxilliary_output_2_acc: 0.0992 - val_loss: 3.6898 - val_output_loss: 2.3085 - val_auxilliary_output_1_loss: 2.3018 - val_auxilliary_output_2_loss: 2.3025 - val_output_acc: 0.1000 - val_auxilliary_output_1_acc: 0.1017 - val_auxilliary_output_2_acc: 0.0984 Epoch 2/25 Epoch 00002: LearningRateScheduler reducing learning rate to 0.01. 50000/50000 [==============================] - 181s 4ms/step - loss: 3.6635 - output_loss: 2.2894 - auxilliary_output_1_loss: 2.2817 - auxilliary_output_2_loss: 2.2987 - output_acc: 0.1161 - auxilliary_output_1_acc: 0.1321 - auxilliary_output_2_acc: 0.1151 - val_loss: 3.6559 - val_output_loss: 2.3095 - val_auxilliary_output_1_loss: 2.2315 - val_auxilliary_output_2_loss: 2.2565 - val_output_acc: 0.1466 - val_auxilliary_output_1_acc: 0.1478 - val_auxilliary_output_2_acc: 0.1417 Epoch 3/25 Epoch 00003: LearningRateScheduler reducing learning rate to 0.01. 50000/50000 [==============================] - 180s 4ms/step - loss: 3.2981 - output_loss: 2.0660 - auxilliary_output_1_loss: 2.0414 - auxilliary_output_2_loss: 2.0653 - output_acc: 0.2212 - auxilliary_output_1_acc: 0.2363 - auxilliary_output_2_acc: 0.2256 - val_loss: 3.1812 - val_output_loss: 2.0064 - val_auxilliary_output_1_loss: 1.9372 - val_auxilliary_output_2_loss: 1.9787 - val_output_acc: 0.2578 - val_auxilliary_output_1_acc: 0.2909 - val_auxilliary_output_2_acc: 0.2767 Epoch 4/25 Epoch 00004: LearningRateScheduler reducing learning rate to 0.01. 50000/50000 [==============================] - 181s 4ms/step - loss: 3.0797 - output_loss: 1.9258 - auxilliary_output_1_loss: 1.9214 - auxilliary_output_2_loss: 1.9248 - output_acc: 0.2803 - auxilliary_output_1_acc: 0.2914 - auxilliary_output_2_acc: 0.2872 - val_loss: 3.0099 - val_output_loss: 1.8852 - val_auxilliary_output_1_loss: 1.8900 - val_auxilliary_output_2_loss: 1.8589 - val_output_acc: 0.3080 - val_auxilliary_output_1_acc: 0.3122 - val_auxilliary_output_2_acc: 0.3296 Epoch 5/25 Epoch 00005: LearningRateScheduler reducing learning rate to 0.01. 50000/50000 [==============================] - 181s 4ms/step - loss: 2.8427 - output_loss: 1.7733 - auxilliary_output_1_loss: 1.7933 - auxilliary_output_2_loss: 1.7711 - output_acc: 0.3454 - auxilliary_output_1_acc: 0.3485 - auxilliary_output_2_acc: 0.3509 - val_loss: 2.6623 - val_output_loss: 1.6788 - val_auxilliary_output_1_loss: 1.6531 - val_auxilliary_output_2_loss: 1.6250 - val_output_acc: 0.3922 - val_auxilliary_output_1_acc: 0.4094 - val_auxilliary_output_2_acc: 0.4103 Epoch 6/25 ... ... ... Epoch 00024: LearningRateScheduler reducing learning rate to 0.008847359999999999. 50000/50000 [==============================] - 181s 4ms/step - loss: 0.7803 - output_loss: 0.3791 - auxilliary_output_1_loss: 0.7608 - auxilliary_output_2_loss: 0.5767 - output_acc: 0.8665 - auxilliary_output_1_acc: 0.7332 - auxilliary_output_2_acc: 0.7962 - val_loss: 1.0228 - val_output_loss: 0.6043 - val_auxilliary_output_1_loss: 0.7442 - val_auxilliary_output_2_loss: 0.6508 - val_output_acc: 0.7970 - val_auxilliary_output_1_acc: 0.7408 - val_auxilliary_output_2_acc: 0.7724 Epoch 25/25 Epoch 00025: LearningRateScheduler reducing learning rate to 0.008847359999999999. 50000/50000 [==============================] - 181s 4ms/step - loss: 0.7411 - output_loss: 0.3543 - auxilliary_output_1_loss: 0.7349 - auxilliary_output_2_loss: 0.5545 - output_acc: 0.8755 - auxilliary_output_1_acc: 0.7408 - auxilliary_output_2_acc: 0.8060 - val_loss: 0.9524 - val_output_loss: 0.5383 - val_auxilliary_output_1_loss: 0.7346 - val_auxilliary_output_2_loss: 0.6458 - val_output_acc: 0.8191 - val_auxilliary_output_1_acc: 0.7435 - val_auxilliary_output_2_acc: 0.7791
Our model gave an impressive 80%+ accuracy on the validation set, which proves that this model architecture is truly worth checking out!
This was a really enjoyable article to write and I hope you found it equally useful. Inception v1 was the focal point on this article, wherein I explained the nitty gritty of what this framework is about and demonstrated how to implement it from scratch in Keras.
In the next couple of articles, I will focus on the advancements in Inception architectures. These advancements were detailed in later papers, namely Inception v2, Inception v3, etc. And yes, they are as intriguing as the name suggests, so stay tuned!
If you have any suggestions/feedback related to the article, do post them in the comments section below.You can also read this article on Analytics Vidhya's Android APP