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romaintha/backpropagation.ipynb

Last active April 12, 2018 06:19
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backpropagation.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"_cell_guid": "57562c4d-ac22-4986-a00f-6a3d15a80211",
"_uuid": "4981041dd13966e982ac4987ecf1b0be9a1cda59"
},
"outputs": [],
"source": [
"import math\n",
"import copy\n",
"import numpy as np\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"from scipy.special import expit as sigmoid"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "468f6db5-c0d9-48d0-bac2-923e2e54dc3f",
"_uuid": "d4bbb6168b171bc88573670f050c04b431ef1139"
},
"source": [
"# Backpropagation\n",
"\n",
"## Context\n",
"With the democratization of deep learning and the introduction of open source tools like Tensorflow or Keras, you can nowadays train [a convolutional neural network to classify images of dogs and cats with little knowledge about Python](https://github.com/fchollet/deep-learning-with-python-notebooks/blob/master/5.2-using-convnets-with-small-datasets.ipynb\n",
"). Unfortunately, these tools tend to abstract the hard part away from us, and we are then tempted to skip the understanding of the inner mechanics . In particular, not understanding backpropagation, the bread and butter of deep learning, would most probably lead you to badly design your networks. In a [Medium article](https://medium.com/@karpathy/yes-you-should-understand-backprop-e2f06eab496b\n",
"), Andrej Karpathy, now director of AI at Tesla, listed few reasons why you should understand backpropagation. Problems such as vanishing and exploding gradients, or dying relus are some of them. Backpropagation is not a very complicated algorithm, and with some knowledge about calculus especially the chain rules, it can be understood pretty quick.\n",
"\n",
"Neural networks, like any other supervised learning algorithms, learn to map an input to an output based on some provided examples of (input, output) pairs, called the training set. In particular, neural networks performs this mapping by processing the input through a set of transformations. A neural network is composed of several layers, and each of these layers are made of units (also called neurons) as illustrated below:\n",
"\n",
"<img 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tsaW5lLWhlaWdodDoxLjI1O2ZvbnQt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%0D%0AICAgICAgICAgc29kaXBvZGk6cm9sZT0ibGluZSIKICAg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luZSIKICAgICAgICAgaWQ9InRzcGFuMTgy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%0D%0AbnQtc2l6ZToxLjUyMDM0NTgxcHg7c3Ryb2tlLXdp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style=\"width: 700px;\" >\n",
"\n",
"In the picture above, the input is transformed first through the hidden layer 1, then the second one and finally an output is predicted. Each transformation is controlled by a set of weights (and biases). During training, to indeed learn something, the network needs to adjust these weights to minimize the error (also called the loss function) between the expected outputs and the ones it maps from the given inputs. Using [gradient descent](https://en.wikipedia.org/wiki/Gradient_descent) as an optimization algorithm, the weights are updated at each iteration as:\n",
"\n",
"$ w^{(n+1)} = w^{(n)} - \\epsilon \\frac{\\partial L}{\\partial w} $, where L is the loss function and $\\epsilon$ is the learning rate. \n",
"\n",
"AAs we can see above, the gradient of the loss with respect to the weight is substracted from the weight at each iteration. This is the so called gradient descent. The gradient $\\frac{\\partial L}{\\partial w} $ can be interpreted as a measure of the contribution of the weight to the loss. Therefore the larger is this gradient (in absolute value), the more the weight is updated during an iteration of gradient descent. \n",
"\n",
"The minimization of the loss function task ends up being related to the evaluation of the gradients described above. We will review 3 proposals to perform this evaluation:\n",
"\n",
"* Analytical calculation of the gradients.\n",
"* Approximation of the gradients as being: $ \\frac{\\partial L}{\\partial w} = \\frac{L(w + \\delta w) - L(w)}{\\delta w}$, where $\\delta w \\rightarrow 0$.\n",
"* Backpropagation or reverse mode autodiff.\n",
"\n",
"Before going into the details of these proposals, we will first clearly define our problem and simplify it for the sake of the discussion.\n",
"\n",
"## Problem definition\n",
"\n",
"To simplify our discussion, we will consider that each layer of the network is made of a single unit, and that we have a single hidden layer. The network looks now like: \n",
"\n",
"<img src=\"data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiIHN0YW5kYWxvbmU9Im5vIj8+Cjwh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%0D%0AY3Rvci1jdXJ2YXR1cmU9IjAiIC8+CiAgPC9nPgo8L3N2Zz4K\">\n",
"\n",
"Let's discuss a little bit about how the input is transformed to produce the hidden layer representation. In neural network, a layer is obtained by performing two operations on the previous layer:\n",
"\n",
"* First the previous layer is tranformed via a linear operation: the value of the previous layer is multiplied by a weight, and a bias is added to it. It gives: \n",
"$z = xw + b$, where x is the value of the previous layer unit, w and b are respectively the weight and the bias discussed above.\n",
"* Second, the previous linear operation is used as an input to the activation function of the unit. This activation is generally chosen to introduce non linearity in order to solve complex tasks. Here we will simply consider that this activation function is a sigmoid function: $\\sigma(x) = \\frac{1}{1+\\exp(-x)}$. As a consequence the value y of a layer can be written as: \n",
"$ y = \\sigma (z) = \\sigma (xw + b)$, with x, w and b defined as above.\n",
"\n",
"So now, considering our case, with an input layer, one hidden layer, and an output layer, all made of a single unit and respectively called x, h and y, we can write:\n",
"\n",
"$ h = \\sigma (xw_1 + b_1) $, where $w_1$ and $b_1$ are respectively the weight and the bias used to compute the hidden unit from the input.\n",
"\n",
"$ y = \\sigma (hw_2 + b_2) $, where $w_2$ and $b_2$ are respectively the weight and the bias used to compute the output from the hidden unit.\n",
"\n",
"From now on, we are able to calculate the output y based on the input x, through a set of transformations. This is the so called forward propagation since this calculation goes forward inside the network.\n",
"\n",
"We now need to compare this predicted ouptut to the true one $y_T$. As explained earlier, we use a loss function to quantify the error that the network does while prediciting. Here we will consider as a loss function the squared error defined as :\n",
"\n",
"$ L = \\frac{1}{2} (y-y_T)^2 $\n",
"\n",
"As discussed earlier, the weights (and biases) need to be updated according to the gradient of this loss function L with respect to these weights (and biases). Therefore the challenge here is to evaluate these gradients. The first approach would be to manually derive them.\n",
"\n",
"## Analytical differentiation\n",
"Although this method is cumbersome and error prone, it is worth to investigate to better understand the challenge Here we simplify a lot the problem since we have a single hidden layer and a single unit per layer. And yet the analytical derivation requires quite some attention.\n",
"\n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\frac{\\partial L}{\\partial w_2} & = \\frac{1}{2} \\frac{\\partial \\left((y-y_T)^2\\right)}{\\partial w_2} \\\\\n",
" & = \\frac{1}{2} \\left(\\frac{\\partial \\left(y^2\\right)}{\\partial w_2} - 2y_T \\frac{\\partial y}{\\partial w_2}\\right)\\\\\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"Knowing that $ y = \\sigma (hw_2 +b_2) $, we get :\n",
"\n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\frac{\\partial L}{\\partial w_2} & = \\frac{1}{2} \\left(\\frac{\\partial \\left(\\frac{1}{\\left( 1 + \\exp(-hw_2 -b_2\\right))^2}\\right)}{\\partial w_2} - 2y_T \\frac{\\partial \\frac{1}{1 + \\exp(-hw_2 - b_2)}}{\\partial w_2}\\right) \\\\\n",
" & = \\frac{h \\exp(-hw_2 - b_2)}{\\left(1+\\exp(-hw_2 - b_2)\\right)^3} - \\frac{y_T h \\exp(-hw_2 - b_2)}{\\left(1+\\exp(-hw_2 - b_2)\\right)^2} \\\\\n",
" & = h\\frac{ \\exp(-hw_2 - b_2)}{\\left(1+\\exp(-hw_2 - b_2)\\right)^2} \\left(\\frac{1}{1+\\exp(-hw_2 - b_2)} - y_T\\right)\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"Here we derived the gradient with respect to $w_2$, and the calculation for the one with respect with $w_1$ would be even more tedious. Therefore such an analytical approach would be very hard to implement for a complex network. In addition, computing wise this approach would be quite inefficient since we could not leverage the fact that the gradients share some common definition as we will soon discuss. A way more easy way to get these gradients would be to use a numerical approximation.\n",
"\n",
"## Numerical differentiation\n",
"\n",
"Trading accuracy for simplicity, we can obtain the gradient using the following:\n",
"\n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\frac{\\partial L}{\\partial w} \\simeq \\frac{L(w + \\delta w) - L(w)}{\\delta w}, \\space with \\space\\delta w \\rightarrow 0\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"As suggested above, although simpler than the analytical derivation, this numerical differentiation is also less precise. In addition for every gradients to evaluate, we would have to calculate the loss function at least once (doing one forward pass by weights and biases). For a neural network with 1 million weigth parameters, it would requires 1 million forward passes, which is definitely not efficient to compute. Let's now come to a better solution and the core of this article by reviewing the backpropagation approach.\n",
"\n",
"\n",
"# Backpropagation\n",
"Before speaking in more details about what backpropagation is, let's first introduce the computational graph that leads to the evaluation of the loss function.\n",
"\n",
"<img 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YWx3YXlzIj4KICAgICAgPHBhdGgK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%0D%0ANTM1MTkiCiAgICAgICAgIGlkPSJ0c3BhbjQ4MjYiCiAg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0iNTguMzcxNDIyIgogICAgICAgeT0iNjMu%0D%0ANTUxODQyIgogICAgICAgaWQ9InRleHQ0ODY2Ij48dHNwYW4KICAgICAgICAgc29kaXBvZGk6cm9s%0D%0AZT0ibGluZSIKICAgICAgICAgaWQ9InRzcGFuNDg2NCIKICAgICAgICAgeD0iNTguMzcxNDIyIgog%0D%0AICAgICAgICB5PSI2My41NTE4NDIiCiAgICAgICAgIHN0eWxlPSJmb250LXNpemU6NC45OTUwODU3%0D%0AMnB4O3N0cm9rZS13aWR0aDowLjI0OTc1NDI4Ij4xPC90c3Bhbj48L3RleHQ+CiAgICA8dGV4dAog%0D%0AICAgICAgaWQ9InRleHQ0ODcwIgogICAgICAgeT0iMzMuOTA3NzcyIgogICAgICAgeD0iNTYuOTgz%0D%0AODI2IgogICAgICAgc3R5bGU9ImZvbnQtc3R5bGU6bm9ybWFsO2ZvbnQtd2VpZ2h0Om5vcm1hbDtm%0D%0Ab250LXNpemU6OS45OTAxNzE0M3B4O2xpbmUtaGVpZ2h0OjEuMjU7Zm9udC1mYW1pbHk6c2Fucy1z%0D%0AZXJpZjtsZXR0ZXItc3BhY2luZzowcHg7d29yZC1zcGFjaW5nOjBweDtmaWxsOiMwMDAwMDA7Zmls%0D%0AbC1vcGFjaXR5OjE7c3Ryb2tlOm5vbmU7c3Ryb2tlLXdpZHRoOjAuMjQ5NzU0MjgiCiAgICAgICB4%0D%0AbWw6c3BhY2U9InByZXNlcnZlIj48dHNwYW4KICAgICAgICAgc3R5bGU9ImZvbnQtc2l6ZTo0Ljk5%0D%0ANTA4NTcycHg7c3Ryb2tlLXdpZHRoOjAuMjQ5NzU0MjgiCiAgICAgICAgIHk9IjMzLjkwNzc3MiIK%0D%0AICAgICAgICAgeD0iNTYuOTgzODI2IgogICAgICAgICBpZD0idHNwYW40ODY4IgogICAgICAgICBz%0D%0Ab2RpcG9kaTpyb2xlPSJsaW5lIj4xPC90c3Bhbj48L3RleHQ+CiAgICA8dGV4dAogICAgICAgeG1s%0D%0AOnNwYWNlPSJwcmVzZXJ2ZSIKICAgICAgIHN0eWxlPSJmb250LXN0eWxlOm5vcm1hbDtmb250LXdl%0D%0AaWdodDpub3JtYWw7Zm9udC1zaXplOjkuOTkwMTcxNDNweDtsaW5lLWhlaWdodDoxLjI1O2ZvbnQt%0D%0AZmFtaWx5OnNhbnMtc2VyaWY7bGV0dGVyLXNwYWNpbmc6MHB4O3dvcmQtc3BhY2luZzowcHg7Zmls%0D%0AbDojMDAwMDAwO2ZpbGwtb3BhY2l0eToxO3N0cm9rZTpub25lO3N0cm9rZS13aWR0aDowLjI0OTc1%0D%0ANDI4IgogICAgICAgeD0iNzYuNTM2MzAxIgogICAgICAgeT0iNDYuNzc0NTU5IgogICAgICAgaWQ9%0D%0AInRleHQ0ODc0Ij48dHNwYW4KICAgICAgICAgc29kaXBvZGk6cm9sZT0ibGluZSIKICAgICAgICAg%0D%0AaWQ9InRzcGFuNDg3MiIKICAgICAgICAgeD0iNzYuNTM2MzAxIgogICAgICAgICB5PSI0Ni43NzQ1%0D%0ANTkiCiAgICAgICAgIHN0eWxlPSJmb250LXNpemU6NC45OTUwODU3MnB4O3N0cm9rZS13aWR0aDow%0D%0ALjI0OTc1NDI4Ij4xPC90c3Bhbj48L3RleHQ+CiAgICA8dGV4dAogICAgICAgaWQ9InRleHQ0ODgy%0D%0AIgogICAgICAgeT0iNjMuNTUxODQyIgogICAgICAgeD0iOTUuNDU4MDM4IgogICAgICAgc3R5bGU9%0D%0AImZvbnQtc3R5bGU6bm9ybWFsO2ZvbnQtd2VpZ2h0Om5vcm1hbDtmb250LXNpemU6OS45OTAxNzE0%0D%0AM3B4O2xpbmUtaGVpZ2h0OjEuMjU7Zm9udC1mYW1pbHk6c2Fucy1zZXJpZjtsZXR0ZXItc3BhY2lu%0D%0AZzowcHg7d29yZC1zcGFjaW5nOjBweDtmaWxsOiMwMDAwMDA7ZmlsbC1vcGFjaXR5OjE7c3Ryb2tl%0D%0AOm5vbmU7c3Ryb2tlLXdpZHRoOjAuMjQ5NzU0MjgiCiAgICAgICB4bWw6c3BhY2U9InByZXNlcnZl%0D%0AIj48dHNwYW4KICAgICAgICAgc3R5bGU9ImZvbnQtc2l6ZTo0Ljk5NTA4NTcycHg7c3Ryb2tlLXdp%0D%0AZHRoOjAuMjQ5NzU0MjgiCiAgICAgICAgIHk9IjYzLjU1MTg0MiIKICAgICAgICAgeD0iOTUuNDU4%0D%0AMDM4IgogICAgICAgICBpZD0idHNwYW40ODgwIgogICAgICAgICBzb2RpcG9kaTpyb2xlPSJsaW5l%0D%0AIj4yPC90c3Bhbj48L3RleHQ+CiAgICA8dGV4dAogICAgICAgeG1sOnNwYWNlPSJwcmVzZXJ2ZSIK%0D%0AICAgICAgIHN0eWxlPSJmb250LXN0eWxlOm5vcm1hbDtmb250LXdlaWdodDpub3JtYWw7Zm9udC1z%0D%0AaXplOjkuOTkwMTcxNDNweDtsaW5lLWhlaWdodDoxLjI1O2ZvbnQtZmFtaWx5OnNhbnMtc2VyaWY7%0D%0AbGV0dGVyLXNwYWNpbmc6MHB4O3dvcmQtc3BhY2luZzowcHg7ZmlsbDojMDAwMDAwO2ZpbGwtb3Bh%0D%0AY2l0eToxO3N0cm9rZTpub25lO3N0cm9rZS13aWR0aDowLjI0OTc1NDI4IgogICAgICAgeD0iOTQu%0D%0AMDcwNDUiCiAgICAgICB5PSIzMy45MDc3NzIiCiAgICAgICBpZD0idGV4dDQ4ODYiPjx0c3Bhbgog%0D%0AICAgICAgICBzb2RpcG9kaTpyb2xlPSJsaW5lIgogICAgICAgICBpZD0idHNwYW40ODg0IgogICAg%0D%0AICAgICB4PSI5NC4wNzA0NSIKICAgICAgICAgeT0iMzMuOTA3NzcyIgogICAgICAgICBzdHlsZT0i%0D%0AZm9udC1zaXplOjQuOTk1MDg1NzJweDtzdHJva2Utd2lkdGg6MC4yNDk3NTQyOCI+MjwvdHNwYW4+%0D%0APC90ZXh0PgogICAgPHRleHQKICAgICAgIGlkPSJ0ZXh0NDg5MCIKICAgICAgIHk9IjQ2Ljc3NDU1%0D%0AOSIKICAgICAgIHg9IjExMy42MjI5MiIKICAgICAgIHN0eWxlPSJmb250LXN0eWxlOm5vcm1hbDtm%0D%0Ab250LXdlaWdodDpub3JtYWw7Zm9udC1zaXplOjkuOTkwMTcxNDNweDtsaW5lLWhlaWdodDoxLjI1%0D%0AO2ZvbnQtZmFtaWx5OnNhbnMtc2VyaWY7bGV0dGVyLXNwYWNpbmc6MHB4O3dvcmQtc3BhY2luZzow%0D%0AcHg7ZmlsbDojMDAwMDAwO2ZpbGwtb3BhY2l0eToxO3N0cm9rZTpub25lO3N0cm9rZS13aWR0aDow%0D%0ALjI0OTc1NDI4IgogICAgICAgeG1sOnNwYWNlPSJwcmVzZXJ2ZSI+PHRzcGFuCiAgICAgICAgIHN0%0D%0AeWxlPSJmb250LXNpemU6NC45OTUwODU3MnB4O3N0cm9rZS13aWR0aDowLjI0OTc1NDI4IgogICAg%0D%0AICAgICB5PSI0Ni43NzQ1NTkiCiAgICAgICAgIHg9IjExMy42MjI5MiIKICAgICAgICAgaWQ9InRz%0D%0AcGFuNDg4OCIKICAgICAgICAgc29kaXBvZGk6cm9sZT0ibGluZSI+MjwvdHNwYW4+PC90ZXh0Pgog%0D%0AICAgPHBhdGgKICAgICAgIGlua3NjYXBlOmNvbm5lY3Rvci1jdXJ2YXR1cmU9IjAiCiAgICAgICBp%0D%0AZD0icGF0aDUyNzAiCiAgICAgICBkPSJtIDYxLjI2NTI3NCwzMC42OTMwNjkgOS4zNjU3ODcsOS4z%0D%0ANjU3ODYiCiAgICAgICBzdHlsZT0iZmlsbDpub25lO3N0cm9rZTojMDAwMDAwO3N0cm9rZS13aWR0%0D%0AaDowLjI1MDE0NzU4O3N0cm9rZS1saW5lY2FwOmJ1dHQ7c3Ryb2tlLWxpbmVqb2luOm1pdGVyO3N0%0D%0Acm9rZS1taXRlcmxpbWl0OjQ7c3Ryb2tlLWRhc2hhcnJheTpub25lO3N0cm9rZS1vcGFjaXR5OjE7%0D%0AbWFya2VyLWVuZDp1cmwoI21hcmtlcjUyNzQpIiAvPgogICAgPHBhdGgKICAgICAgIHN0eWxlPSJm%0D%0AaWxsOm5vbmU7c3Ryb2tlOiMwMDAwMDA7c3Ryb2tlLXdpZHRoOjAuMjUwMTQ3NTg7c3Ryb2tlLWxp%0D%0AbmVjYXA6YnV0dDtzdHJva2UtbGluZWpvaW46bWl0ZXI7c3Ryb2tlLW1pdGVybGltaXQ6NDtzdHJv%0D%0Aa2UtZGFzaGFycmF5Om5vbmU7c3Ryb2tlLW9wYWNpdHk6MTttYXJrZXItZW5kOnVybCgjbWFya2Vy%0D%0ANTUyNikiCiAgICAgICBkPSJtIDk4LjYwNDE4NCwzMC42OTMwNjkgOS4zNjU3OTYsOS4zNjU3ODYi%0D%0ACiAgICAgICBpZD0icGF0aDU1MjIiCiAgICAgICBpbmtzY2FwZTpjb25uZWN0b3ItY3VydmF0dXJl%0D%0APSIwIiAvPgogICAgPHBhdGgKICAgICAgIHN0eWxlPSJmaWxsOm5vbmU7c3Ryb2tlOiMwMDAwMDA7%0D%0Ac3Ryb2tlLXdpZHRoOjAuMjUwMTQ3NTg7c3Ryb2tlLWxpbmVjYXA6YnV0dDtzdHJva2UtbGluZWpv%0D%0AaW46bWl0ZXI7c3Ryb2tlLW1pdGVybGltaXQ6NDtzdHJva2UtZGFzaGFycmF5Om5vbmU7c3Ryb2tl%0D%0ALW9wYWNpdHk6MTttYXJrZXItZW5kOnVybCgjbWFya2VyNjUxNikiCiAgICAgICBkPSJNIDEzNi4y%0D%0AMDI4Nyw0Mi42MTE3NzYgSCAxNDkuNDQ4MSIKICAgICAgIGlkPSJwYXRoNjUxMiIKICAgICAgIGlu%0D%0Aa3NjYXBlOmNvbm5lY3Rvci1jdXJ2YXR1cmU9IjAiIC8+CiAgICA8dGV4dAogICAgICAgeG1sOnNw%0D%0AYWNlPSJwcmVzZXJ2ZSIKICAgICAgIHN0eWxlPSJmb250LXN0eWxlOm5vcm1hbDtmb250LXdlaWdo%0D%0AdDpub3JtYWw7Zm9udC1zaXplOjkuOTkwMTcxNDNweDtsaW5lLWhlaWdodDoxLjI1O2ZvbnQtZmFt%0D%0AaWx5OnNhbnMtc2VyaWY7bGV0dGVyLXNwYWNpbmc6MHB4O3dvcmQtc3BhY2luZzowcHg7ZmlsbDoj%0D%0AMDAwMDAwO2ZpbGwtb3BhY2l0eToxO3N0cm9rZTpub25lO3N0cm9rZS13aWR0aDowLjI0OTc1NDI4%0D%0AIgogICAgICAgeD0iMTUwLjQ4NDQxIgogICAgICAgeT0iNDUuMTM1OTQ4IgogICAgICAgaWQ9InRl%0D%0AeHQ2ODY4Ij48dHNwYW4KICAgICAgICAgc29kaXBvZGk6cm9sZT0ibGluZSIKICAgICAgICAgaWQ9%0D%0AInRzcGFuNjg2NiIKICAgICAgICAgeD0iMTUwLjQ4NDQxIgogICAgICAgICB5PSI0NS4xMzU5NDgi%0D%0ACiAgICAgICAgIHN0eWxlPSJzdHJva2Utd2lkdGg6MC4yNDk3NTQyOCI+TDwvdHNwYW4+PC90ZXh0%0D%0APgogICAgPHBhdGgKICAgICAgIHN0eWxlPSJmaWxsOm5vbmU7c3Ryb2tlOiMwMDAwMDA7c3Ryb2tl%0D%0ALXdpZHRoOjAuMjUwMTQ3NTg7c3Ryb2tlLWxpbmVjYXA6YnV0dDtzdHJva2UtbGluZWpvaW46bWl0%0D%0AZXI7c3Ryb2tlLW1pdGVybGltaXQ6NDtzdHJva2UtZGFzaGFycmF5Om5vbmU7c3Ryb2tlLW9wYWNp%0D%0AdHk6MTttYXJrZXItZW5kOnVybCgjbWFya2VyNjk1MikiCiAgICAgICBkPSJtIDk4LjYwNDE4NCw1%0D%0ANS43MDM0OTEgOS4zNjU3OTYsLTkuMzY1Nzg2IgogICAgICAgaWQ9InBhdGg2OTQwIgogICAgICAg%0D%0AaW5rc2NhcGU6Y29ubmVjdG9yLWN1cnZhdHVyZT0iMCIgLz4KICAgIDx0ZXh0CiAgICAgICB4bWw6%0D%0Ac3BhY2U9InByZXNlcnZlIgogICAgICAgc3R5bGU9ImZvbnQtc3R5bGU6bm9ybWFsO2ZvbnQtd2Vp%0D%0AZ2h0Om5vcm1hbDtmb250LXNpemU6OS45OTAxNzE0M3B4O2xpbmUtaGVpZ2h0OjEuMjU7Zm9udC1m%0D%0AYW1pbHk6c2Fucy1zZXJpZjtsZXR0ZXItc3BhY2luZzowcHg7d29yZC1zcGFjaW5nOjBweDtmaWxs%0D%0AOiMwMDAwMDA7ZmlsbC1vcGFjaXR5OjE7c3Ryb2tlOm5vbmU7c3Ryb2tlLXdpZHRoOjAuMjQ5NzU0%0D%0AMjgiCiAgICAgICB4PSI4OC43NzE3MjkiCiAgICAgICB5PSI1OS43Njg3NjQiCiAgICAgICBpZD0i%0D%0AdGV4dDY5NDQiPjx0c3BhbgogICAgICAgICBzb2RpcG9kaTpyb2xlPSJsaW5lIgogICAgICAgICBp%0D%0AZD0idHNwYW42OTQyIgogICAgICAgICB4PSI4OC43NzE3MjkiCiAgICAgICAgIHk9IjU5Ljc2ODc2%0D%0ANCIKICAgICAgICAgc3R5bGU9InN0cm9rZS13aWR0aDowLjI0OTc1NDI4Ij53PC90c3Bhbj48L3Rl%0D%0AeHQ+CiAgICA8dGV4dAogICAgICAgaWQ9InRleHQ2OTQ4IgogICAgICAgeT0iNDUuMTM1OTQ4Igog%0D%0AICAgICAgeD0iMTUwLjQ4NDQxIgogICAgICAgc3R5bGU9ImZvbnQtc3R5bGU6bm9ybWFsO2ZvbnQt%0D%0Ad2VpZ2h0Om5vcm1hbDtmb250LXNpemU6OS45OTAxNzE0M3B4O2xpbmUtaGVpZ2h0OjEuMjU7Zm9u%0D%0AdC1mYW1pbHk6c2Fucy1zZXJpZjtsZXR0ZXItc3BhY2luZzowcHg7d29yZC1zcGFjaW5nOjBweDtm%0D%0AaWxsOiMwMDAwMDA7ZmlsbC1vcGFjaXR5OjE7c3Ryb2tlOm5vbmU7c3Ryb2tlLXdpZHRoOjAuMjQ5%0D%0ANzU0MjgiCiAgICAgICB4bWw6c3BhY2U9InByZXNlcnZlIj48dHNwYW4KICAgICAgICAgc3R5bGU9%0D%0AInN0cm9rZS13aWR0aDowLjI0OTc1NDI4IgogICAgICAgICB5PSI0NS4xMzU5NDgiCiAgICAgICAg%0D%0AIHg9IjE1MC40ODQ0MSIKICAgICAgICAgaWQ9InRzcGFuNjk0NiIKICAgICAgICAgc29kaXBvZGk6%0D%0Acm9sZT0ibGluZSI+TDwvdHNwYW4+PC90ZXh0PgogICAgPHBhdGgKICAgICAgIGlua3NjYXBlOmNv%0D%0Abm5lY3Rvci1jdXJ2YXR1cmU9IjAiCiAgICAgICBpZD0icGF0aDcxODIiCiAgICAgICBkPSJtIDEz%0D%0AOC4yMTM3LDU1LjcwMzQ5MSA5LjM2NTgsLTkuMzY1Nzg2IgogICAgICAgc3R5bGU9ImZpbGw6bm9u%0D%0AZTtzdHJva2U6IzAwMDAwMDtzdHJva2Utd2lkdGg6MC4yNTAxNDc1ODtzdHJva2UtbGluZWNhcDpi%0D%0AdXR0O3N0cm9rZS1saW5lam9pbjptaXRlcjtzdHJva2UtbWl0ZXJsaW1pdDo0O3N0cm9rZS1kYXNo%0D%0AYXJyYXk6bm9uZTtzdHJva2Utb3BhY2l0eToxO21hcmtlci1lbmQ6dXJsKCNtYXJrZXI3MTkwKSIg%0D%0ALz4KICAgIDx0ZXh0CiAgICAgICBpZD0idGV4dDcxODYiCiAgICAgICB5PSI1OS43Njg3NjQiCiAg%0D%0AICAgICB4PSIxMjguMzgxMjMiCiAgICAgICBzdHlsZT0iZm9udC1zdHlsZTpub3JtYWw7Zm9udC13%0D%0AZWlnaHQ6bm9ybWFsO2ZvbnQtc2l6ZTo5Ljk5MDE3MTQzcHg7bGluZS1oZWlnaHQ6MS4yNTtmb250%0D%0ALWZhbWlseTpzYW5zLXNlcmlmO2xldHRlci1zcGFjaW5nOjBweDt3b3JkLXNwYWNpbmc6MHB4O2Zp%0D%0AbGw6IzAwMDAwMDtmaWxsLW9wYWNpdHk6MTtzdHJva2U6bm9uZTtzdHJva2Utd2lkdGg6MC4yNDk3%0D%0ANTQyOCIKICAgICAgIHhtbDpzcGFjZT0icHJlc2VydmUiPjx0c3BhbgogICAgICAgICBzdHlsZT0i%0D%0Ac3Ryb2tlLXdpZHRoOjAuMjQ5NzU0MjgiCiAgICAgICAgIHk9IjU5Ljc2ODc2NCIKICAgICAgICAg%0D%0AeD0iMTI4LjM4MTIzIgogICAgICAgICBpZD0idHNwYW43MTg0IgogICAgICAgICBzb2RpcG9kaTpy%0D%0Ab2xlPSJsaW5lIj55PC90c3Bhbj48L3RleHQ+CiAgICA8dGV4dAogICAgICAgeG1sOnNwYWNlPSJw%0D%0AcmVzZXJ2ZSIKICAgICAgIHN0eWxlPSJmb250LXN0eWxlOm5vcm1hbDtmb250LXdlaWdodDpub3Jt%0D%0AYWw7Zm9udC1zaXplOjkuOTkwMTcxNDNweDtsaW5lLWhlaWdodDoxLjI1O2ZvbnQtZmFtaWx5OnNh%0D%0AbnMtc2VyaWY7bGV0dGVyLXNwYWNpbmc6MHB4O3dvcmQtc3BhY2luZzowcHg7ZmlsbDojMDAwMDAw%0D%0AO2ZpbGwtb3BhY2l0eToxO3N0cm9rZTpub25lO3N0cm9rZS13aWR0aDowLjI0OTc1NDI4IgogICAg%0D%0AICAgeD0iMTMyLjU0NDY2IgogICAgICAgeT0iNjMuNTUxODQyIgogICAgICAgaWQ9InRleHQ3Njkw%0D%0AIj48dHNwYW4KICAgICAgICAgc29kaXBvZGk6cm9sZT0ibGluZSIKICAgICAgICAgaWQ9InRzcGFu%0D%0ANzY4OCIKICAgICAgICAgeD0iMTMyLjU0NDY2IgogICAgICAgICB5PSI2My41NTE4NDIiCiAgICAg%0D%0AICAgIHN0eWxlPSJmb250LXNpemU6NC45OTUwODU3MnB4O3N0cm9rZS13aWR0aDowLjI0OTc1NDI4%0D%0AIj5UPC90c3Bhbj48L3RleHQ+CiAgPC9nPgo8L3N2Zz4K\">\n",
"\n",
"The nodes in this graph correspond to all the values that are computed in order to get the loss L. If a variable is computed by applying an operation to another variable, an edge is drawn between the two variable nodes. Looking at this graph, and making use of the chain rule of calculus, we can express the gradient of L with respect to the weights (or biases) as:\n",
"\n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\frac{\\partial L}{\\partial w_2} & = \\frac{\\partial L}{\\partial y} \\frac{\\partial y}{\\partial w_2}\\\\\n",
" & = \\frac{\\partial L}{\\partial y} \\frac{\\partial y}{\\partial z_2} \\frac{\\partial z_2}{\\partial w_2} \\\\\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"\n",
"Same goes for the weight $ w_1 $:\n",
"\n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\frac{\\partial L}{\\partial w_1} & = \\frac{\\partial L}{\\partial y} \\frac{\\partial y}{\\partial w_1}\\\\\n",
" & = \\frac{\\partial L}{\\partial y} \\frac{\\partial y}{\\partial z_2} \\frac{\\partial z_2}{\\partial w_1} \\\\\n",
" & = \\frac{\\partial L}{\\partial y} \\frac{\\partial y}{\\partial z_2} \\frac{\\partial z_2}{\\partial h} \\frac{\\partial h}{\\partial w_1} \\\\\n",
" & = \\frac{\\partial L}{\\partial y} \\frac{\\partial y}{\\partial z_2} \\frac{\\partial z_2}{\\partial h} \\frac{\\partial h}{\\partial z_1} \\frac{\\partial z_1}{\\partial w_1}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"One very important thing to notice here is that the evaluation of the gradient $\\frac{\\partial L}{\\partial w_1}$ can reuse some of the calculations perfomed during the evaluation of the gradient $\\frac{\\partial L}{\\partial w_2}$. It is even clearer if we evaluate the gradient $\\frac{\\partial L}{\\partial b_1}$:\n",
"\n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\frac{\\partial L}{\\partial b_1} = \\frac{\\partial L}{\\partial y} \\frac{\\partial y}{\\partial z_2} \\frac{\\partial z_2}{\\partial h} \\frac{\\partial h}{\\partial z_1} \\frac{\\partial z_1}{\\partial b_1}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"We see that the first four term on the righ hand of the equation are the same than the one from $\\frac{\\partial L}{\\partial w_1}$.\n",
"\n",
"As you can see in the equations above, we calculate the gradient starting from the end of the computational graph, and proceed backward to get the gradient of the loss with respect to the weights (or the biases). This backward evaluation gives its name to the algoritm: backpropagation. The backpropagation algorithm can be illustrated by the image below:\n",
"\n",
"<img 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OjEiCiAgICAgICAgIHRyYW5zZm9y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%0D%0AdHNwYW4yMTIiCiAgICAgICAgIHg9Ijg1LjQ4NDI0NSIK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4yNTAiCiAgICAgICAgIHg9IjM0LjQ2NTc5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%0D%0AODkyIiAvPgo8L3N2Zz4K\">\n",
"\n",
"In pratice, one iteration of gradient descent would now require one forward pass, and only one pass in the reverse direction computing all the partial derivatives starting from the output node. It is therefore way more efficient than the previous approaches. In the original paper about backpropagation published in 1986 [4] , the authors (among which Geoffrey Hinton) used for the first time backpropagation to allow internal hidden units to learn features of the task domain. \n",
"\n",
"To visualize better what backpropagation is in practice, let's implement a neural network classification problem in bare numpy. Indeed as we will see below, there is no need of a complex deep learning library to play at first with a neural network.\n",
"\n",
"## A toy problem\n",
"Let's consider a binary classification problem where the task is about predict the class of a given input.\n",
"\n",
"### The dataset\n",
"As a dataset, we chose a pretty standard not linearly separable dataset made of two classes \"0\" and \"1\". "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"_cell_guid": "fea56f7e-9252-4148-b4b0-b2eb21990876",
"_uuid": "58ed97348bdde56ced78633dc340152749a6d89a"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(0)\n",
"\n",
"def generate_dataset(N_points):\n",
" # 1 class\n",
" radiuses = np.random.uniform(0, 0.5, size=N_points//2)\n",
" angles = np.random.uniform(0, 2*math.pi, size=N_points//2)\n",
" \n",
" x_1 = np.multiply(radiuses, np.cos(angles)).reshape(N_points//2, 1)\n",
" x_2 = np.multiply(radiuses, np.sin(angles)).reshape(N_points//2, 1)\n",
" X_class_1 = np.concatenate((x_1, x_2), axis=1)\n",
" Y_class_1 = np.full((N_points//2,), 1)\n",
" \n",
" # 0 class\n",
" radiuses = np.random.uniform(0.6, 1, size=N_points//2)\n",
" angles = np.random.uniform(0, 2*math.pi, size=N_points//2)\n",
" \n",
" x_1 = np.multiply(radiuses, np.cos(angles)).reshape(N_points//2, 1)\n",
" x_2 = np.multiply(radiuses, np.sin(angles)).reshape(N_points//2, 1)\n",
" X_class_0 = np.concatenate((x_1, x_2), axis=1)\n",
" Y_class_0 = np.full((N_points//2,), 0)\n",
" \n",
" X = np.concatenate((X_class_1, X_class_0), axis=0)\n",
" Y = np.concatenate((Y_class_1, Y_class_0), axis=0)\n",
" return X, Y\n",
" \n",
"N_points = 1000\n",
"X, Y = generate_dataset(N_points)\n",
"\n",
"plt.scatter(X[:N_points//2, 0], X[:N_points//2, 1], color='red', label='class 1') \n",
"plt.scatter(X[N_points//2:, 0], X[N_points//2:, 1], color='blue', label='class 0')\n",
"plt.legend(loc=9, bbox_to_anchor=(0.5, -0.1), ncol=2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "a786eec1-7b62-470f-9724-811dcfd19096",
"_uuid": "ccd9ce80621857fd2c7ccb01ed5126d93ca8c884"
},
"source": [
"### The neural network\n",
"As we can see from the dataset above, the data point are defined as $ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{x} = \n",
" \\begin{bmatrix}\n",
" x_1 \\\\\n",
" x_2 \\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$. Therefore the input layer of the network must have two units. We want to classify the data points as being either class \"1\" or class \"0\", then the output layer of the network must contain a single unit. Between the input and the output layers, we add a hidden layer with 3 units. The full network looks like:\n",
"\n",
"<img style=\"width: 600px;\" 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ODYwMzIiCiAgICAgICBpZD0iY2ly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%0D%0AbGU9ImxpbmUiPigxKTwvdHNwYW4+PC90ZXh0PgogIDwvZz4KPC9zdmc+Cg==\">\n",
"\n",
"Choosing the right network architecture is more an art than a science, and there is no ground reason to choose the second layer to have 3 units. I encourage you to go and play with the [tensorflow playground](https://playground.tensorflow.org/#activation=tanh&batchSize=10&dataset=circle&regDataset=reg-plane&learningRate=0.03&regularizationRate=0&noise=0&networkShape=4,2&seed=0.07489&showTestData=false&discretize=false&percTrainData=50&x=true&y=true&xTimesY=false&xSquared=false&ySquared=false&cosX=false&sinX=false&cosY=false&sinY=false&collectStats=false&problem=classification&initZero=false&hideText=false) to realize that. We have already studied a similar architecture before but with a single unit per layer. The previous equations can be easily generalized for layers with more than one unit:\n",
"\n",
"\n",
"$ \\mathbf{z_1} = \\mathbf{W_1 x} + \\mathbf{b_1} $, with \n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{W_1} = \n",
" \\begin{bmatrix}\n",
" w^{(1)}_{1,1} & w^{(1)}_{2,1} \\\\\n",
" w^{(1)}_{1,2} & w^{(1)}_{2,2} \\\\\n",
" w^{(1)}_{1,3} & w^{(1)}_{2,3} \\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$, \n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{x} = \n",
" \\begin{bmatrix}\n",
" x_1 \\\\\n",
" x_2 \\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$ and\n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{b_1} = \n",
" \\begin{bmatrix}\n",
" b^{(1)}_{1}\\\\\n",
" b^{(1)}_{2}\\\\\n",
" b^{(1)}_{3}\\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"\n",
"$ \\mathbf{h} = \\sigma(\\mathbf{z_1}) $\n",
"\n",
"$ \\mathbf{z_2} = \\mathbf{W_2 h} + b_2$ with \n",
"$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{W_2} = \n",
" \\begin{bmatrix}\n",
" w^{(2)}_{1,1} & w^{(2)}_{2,1} & w^{(2)}_{3,1} \n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$, and $b_2 = b^{(2)}_1$.\n",
"\n",
"$ \\mathbf{y} = \\sigma(\\mathbf{z_2}) $\n",
"\n",
"The above equations allow to predict a single output given a single data point$ \n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{x} = \n",
" \\begin{bmatrix}\n",
" x_1 \\\\\n",
" x_2 \\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$. Instead of looping over all the data points from the dataset and evaluation y from them, it is way more efficient to take advantage of the vectorization of the problem. Let's consider the vector $\\mathbf{X}$ with the shape $(N_{points}, 2)$:\n",
"$\n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{X} = \n",
" \\begin{bmatrix}\n",
" x_1^{(1)} & x_2^{(1)} \\\\\n",
" x_1^{(2)} & x_2^{(2)} \\\\\n",
" . & . \\\\ \n",
" . & . \\\\ \n",
" . & . \\\\ \n",
" x_1^{(N_{points})} & x_2^{(N_{points})} \\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$\n",
"\n",
"where the upperscripts $^{(i)}$ simply refer to the datapoints.\n",
"\n",
"We can rewrite the equations vectorized:\n",
"\n",
"\n",
"$ \\mathbf{Z_1} = \\mathbf{X W_1^T} + \\mathbf{1 b_1^T} $, with \n",
"$\n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{1} = \n",
" \\begin{bmatrix}\n",
" 1 \\\\\n",
" 1 \\\\\n",
" . \\\\ \n",
" . \\\\ \n",
" . \\\\ \n",
" 1 \\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$ a vector of shape $(N_{points}, 1)$ whose elements are all 1. \n",
"\n",
"$ \\mathbf{H} = \\sigma(\\mathbf{Z_1}) $\n",
"\n",
"$ \\mathbf{Z_2} = \\mathbf{H W_2^T} + \\mathbf{1} b_2$, with $\\mathbf{1}$ is as defined above.\n",
"\n",
"$ \\mathbf{Y} = \\sigma(\\mathbf{Z_2}) $\n",
"\n",
"### Forward propagation\n",
"Let's now implement the code for the forward propagation through the network."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"_cell_guid": "b49abbbb-8f04-4665-a02d-06f0b841f949",
"_uuid": "34acf91b22c4129b3a7b15297ea6bc85ba7751e4"
},
"outputs": [],
"source": [
"weights = {\n",
" 'W1': np.random.randn(3, 2),\n",
" 'b1': np.zeros(3),\n",
" 'W2': np.random.randn(3),\n",
" 'b2': 0,\n",
"}\n",
"\n",
"def forward_propagation(X, weights): \n",
" # this implement the vectorized equations defined above.\n",
" Z1 = np.dot(X, weights['W1'].T) + weights['b1']\n",
" H = sigmoid(Z1)\n",
" Z2 = np.dot(H, weights['W2'].T) + weights['b2']\n",
" Y = sigmoid(Z2) \n",
" return Y, Z2, H, Z1"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "c8e7eb95-e364-4705-b026-0d91a82eb7f3",
"_uuid": "8b9ae360645ddd1ae4e49a1cb69c86c0986cdb77"
},
"source": [
"### Loss function\n",
"Previously, for simplicity we used the squared error as a loss function. It turns out that for a classification problem, this is not an appropriate choice as a loss function. Indeed the squared error is not able to distinguish bad prediction from extremely bad ones in a classification context. Here as a loss function, we will rather use the cross entropy function defined as:\n",
"\n",
"$L(y, y_T) = \\frac{1}{N_{points}} \\sum_{n=1}^{N_{points}}\\left( -y_T^{(n)} \\log(y^{(n)}) - (1-y_T^{(n)}) \\log(1-y^{(n)})\\right) $ \n",
"\n",
"where $y^{(n)}$ is the output of the forward propagation of a single data point \n",
"$\n",
"\\begin{equation} \n",
" \\begin{split}\n",
" \\mathbf{x^{(n)}} = \n",
" \\begin{bmatrix}\n",
" x^{(n)}_1 \\\\\n",
" x^{(n)}_2 \\\\\n",
" \\end{bmatrix}\n",
" \\end{split}\n",
"\\end{equation}\n",
"$, and $y_T^{(n)}$ the correct class of the data point.\n",
"\n",
"\n",
"To understand why the cross entropy is a good choice as a loss function, I highly recommend this [video from Aurelien Geron](https://www.youtube.com/watch?v=ErfnhcEV1O8). \n",
"\n",
"\n",
"### Backpropagation\n",
"We have everything we need now to define the back_propagation function. First let's write again down the gradient equations:\n",
"\n",
"$ \\frac{\\partial L}{\\partial \\mathbf{W_2}} = \\frac{\\partial L}{\\partial \\mathbf{Y}}\\frac{\\partial \\mathbf{Y}}{\\partial \\mathbf{Z_2}}\\frac{\\partial \\mathbf{Z_2}}{\\partial \\mathbf{W_2}}$\n",
"\n",
"$ \\frac{\\partial L}{\\partial \\mathbf{b_2}} = \\frac{\\partial L}{\\partial \\mathbf{Y}}\\frac{\\partial \\mathbf{Y}}{\\partial \\mathbf{Z_2}}\\frac{\\partial \\mathbf{Z_2}}{\\partial \\mathbf{b_2}}$\n",
"\n",
"$ \\frac{\\partial L}{\\partial \\mathbf{W_1}} = \\frac{\\partial L}{\\partial \\mathbf{Y}}\\frac{\\partial \\mathbf{Y}}{\\partial \\mathbf{Z_2}}\\frac{\\partial \\mathbf{Z_2}}{\\partial \\mathbf{H}}\\frac{\\partial \\mathbf{H}}{\\partial \\mathbf{Z_1}}\\frac{\\partial \\mathbf{Z_1}}{\\partial \\mathbf{W_1}}$\n",
"\n",
"$ \\frac{\\partial L}{\\partial \\mathbf{b_1}} = \\frac{\\partial L}{\\partial \\mathbf{Y}}\\frac{\\partial \\mathbf{Y}}{\\partial \\mathbf{Z_2}}\\frac{\\partial \\mathbf{Z_2}}{\\partial \\mathbf{H}}\\frac{\\partial \\mathbf{H}}{\\partial \\mathbf{Z_1}}\\frac{\\partial \\mathbf{Z_1}}{\\partial \\mathbf{b_1}}$\n",
"\n",
"We therefore need the following partial derivatives, which can be easily obtained:\n",
"\n",
"$ \\frac{\\partial L}{\\partial\\mathbf{Y}} = \\frac{1}{N} \\frac{\\mathbf{Y}-\\mathbf{Y_T}}{\\mathbf{Y}(1-\\mathbf{Y})}$\n",
"\n",
"$ \\frac{\\partial \\mathbf{L}}{\\partial\\mathbf{Z_2}} = \\frac{\\partial L}{\\partial\\mathbf{Y}} .\\left(\\sigma(\\mathbf{Z_2})(1-\\sigma(\\mathbf{Z_2}))\\right)$\n",
"\n",
"$ \\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{W_2}} = \\mathbf{H^T} \\frac{\\partial \\mathbf{L}}{\\partial\\mathbf{Z_2}}$ \n",
"\n",
"$ \\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{b_2}} = \\left(\\frac{\\partial \\mathbf{L}}{\\partial\\mathbf{Z_2}} \\right)^T\\mathbf{1}$\n",
"\n",
"$ \\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{H}} = \\frac{\\partial \\mathbf{L}}{\\partial\\mathbf{Z_2}} \\mathbf{W_2^T}$\n",
"\n",
"$ \\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{Z_1}} = \\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{H}}.\\left(\\sigma(\\mathbf{Z_1})(1-\\sigma(\\mathbf{Z_1}))\\right)$\n",
"\n",
"$ \\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{W_1}} = \\left(\\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{Z_1}}\\right)^T\\mathbf{X}$\n",
"\n",
"$ \\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{b_1}} = \\left(\\frac{\\partial \\mathbf{L}}{\\partial \\mathbf{Z_1}}\\right)^T\\mathbf{1}$\n",
"\n",
"We can now define the code for the backpropagation:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"_cell_guid": "4bac2df2-c753-4ead-ba0d-83f05e19f861",
"_uuid": "bfc93948a944d7fc750d4dd4d50fe02a6a98e226"
},
"outputs": [],
"source": [
"def back_propagation(X, Y_T, weights):\n",
" N_points = X.shape[0]\n",
" \n",
" # forward propagation\n",
" Y, Z2, H, Z1 = forward_propagation(X, weights)\n",
" L = (1/N_points) * np.sum(-Y_T * np.log(Y) - (1 - Y_T) * np.log(1 - Y))\n",
" # back propagation\n",
" dLdY = 1/N_points * np.divide(Y - Y_T, np.multiply(Y, 1-Y))\n",
" dLdZ2 = np.multiply(dLdY, (sigmoid(Z2)*(1-sigmoid(Z2))))\n",
" dLdW2 = np.dot(H.T, dLdZ2)\n",
" dLdb2 = np.dot(dLdZ2.T, np.ones(N_points))\n",
" dLdH = np.dot(dLdZ2.reshape(N_points, 1), weights['W2'].reshape(1, 3))\n",
" dLdZ1 = np.multiply(dLdH, np.multiply(sigmoid(Z1), (1-sigmoid(Z1))))\n",
" dLdW1 = np.dot(dLdZ1.T, X)\n",
" dLdb1 = np.dot(dLdZ1.T, np.ones(N_points))\n",
" \n",
" \n",
" gradients = {\n",
" 'W1': dLdW1,\n",
" 'b1': dLdb1,\n",
" 'W2': dLdW2,\n",
" 'b2': dLdb2,\n",
" }\n",
" return gradients, L\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "595da163-0e98-4652-983b-165b1578845b",
"_uuid": "f2dd8a9b660a55686c4a0f82751e74b78471aa4d"
},
"source": [
"### Training: gradient descent\n",
"We have all in place to start training our network using gradient descent. Remember, at every iteration the weights and the biases are updated as $ w^{(n+1)} = w^{(n)} - \\epsilon \\frac{\\partial L}{\\partial w} $."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"_cell_guid": "b15524f1-e619-4509-b4a5-ecc7c4d1f566",
"_uuid": "10ed5203923ce6e28db0bfe7403cff7da239a0b4"
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"epochs = 2000\n",
"epsilon = 1\n",
"initial_weights = copy.deepcopy(weights)\n",
" \n",
"losses = []\n",
"for epoch in range(epochs):\n",
" gradients, L = back_propagation(X, Y, weights)\n",
" for weight_name in weights:\n",
" weights[weight_name] -= epsilon * gradients[weight_name]\n",
" \n",
" losses.append(L)\n",
" \n",
"plt.scatter(range(epochs), losses)\n",
"plt.title('Training Loss')\n",
"plt.xlabel('Epoch')\n",
"plt.ylabel('Loss')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "43a800bd-9c47-42e1-a648-28f247fca6a3",
"_uuid": "27be6a3471686b88b61820bead45039740e3a954"
},
"source": [
"As we can see in the plot above where the loss is plotted with respect to the number of epochs the network experienced, we clearly observed a decrease of the loss. In other words, the network seems to make less and less errors. In other words, it learns something.\n",
"\n",
"### Visualize what the network learned\n",
"Before to see what the network learned, it would be interesting to see how the initial weights of the network would perform."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"_cell_guid": "8abd779e-ee28-48b3-90fd-87e7bc731cc1",
"_uuid": "ce82e49f69dcfd4aab544995d46c6e6e9cc25f6e"
},
"outputs": [],
"source": [
"def visualization(weights, X_data, title, superposed_training=False):\n",
" N_test_points = 1000\n",
" xs = np.linspace(1.1*np.min(X_data), 1.1*np.max(X_data), N_test_points)\n",
" datapoints = np.transpose([np.tile(xs, len(xs)), np.repeat(xs, len(xs))])\n",
" Y_initial = forward_propagation(datapoints, weights)[0].reshape(N_test_points, N_test_points)\n",
" X1, X2 = np.meshgrid(xs, xs)\n",
" plt.pcolormesh(X1, X2, Y_initial)\n",
" plt.colorbar(label='P(1)')\n",
" if superposed_training:\n",
" plt.scatter(X_data[:N_points//2, 0], X_data[:N_points//2, 1], color='red') \n",
" plt.scatter(X_data[N_points//2:, 0], X_data[N_points//2:, 1], color='blue') \n",
" plt.title(title)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"_cell_guid": "4af31aae-23fd-4127-b390-22a79e2c7ffa",
"_uuid": "78f4b9401090c6117781442bc023af5685a0c567",
"scrolled": true
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"visualization(initial_weights, X, 'Visualization before learning')"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "f3ead2f4-67d4-40a9-bb83-2a19dfc3502d",
"_uuid": "e5c25baf652dab167cc3793d61de547cdfa5ca38"
},
"source": [
"The picture above represents as a colormap the probability of a point being of class 1. As expected, the network is completely unable yet to classify correctly. Let's visualize the same thing after learning:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"_cell_guid": "aa8dfea4-87de-4fec-a7c3-766734804903",
"_uuid": "e42ff26d328907b1ffc7c915058c3fabedec994d"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"visualization(weights, X, 'Visualization after learning')"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "66ade840-45f9-4d20-9dea-6be2af67ba87",
"_uuid": "6f4ff6030926c5eff77b361407d3c418e6a784cd"
},
"source": [
"Now an island of class \"1\" lives in the middle of the map, while the rest is of class 0. If we superimpose the training samples to this visualization we realize that our network did a pretty good job classifying this map."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"_cell_guid": "c69765f9-1cb9-4300-b142-706f0c5a1d9b",
"_uuid": "b23f73790a6b459b68153372d99ae1f0f8b5ed6b"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"visualization(weights, X, 'Visualization after learning', superposed_training=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "2908ec08-302d-4a60-91c7-60069d679bf1",
"_uuid": "46d55641f25e4ec35a087016bcb18c49e30210d4"
},
"source": [
"### With a XOR like distribution\n",
"Let's try our implementation with another distribution. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"_cell_guid": "a048484b-a26e-461e-b4e2-6f0a6677cf66",
"_uuid": "f211e7e62c310e4f92e1c748dfbde3c3f09a22c4"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def generate_xor_like_dataset(N_points):\n",
" # 1 class\n",
" X_class_1 = np.concatenate(\n",
" (np.concatenate(\n",
" (np.random.normal(0.25, 0.15, size=N_points//4).reshape(N_points//4,1), \n",
" np.random.normal(0.75, 0.15, size=N_points//4).reshape(N_points//4,1)), \n",
" axis=1),\n",
" np.concatenate(\n",
" (np.random.normal(0.75, 0.15, size=N_points//4).reshape(N_points//4,1), \n",
" np.random.normal(0.25, 0.15, size=N_points//4).reshape(N_points//4,1)), \n",
" axis=1))\n",
" )\n",
" Y_class_1 = np.full((N_points//2,), 1)\n",
" \n",
" # 0 class\n",
" X_class_0 = np.concatenate(\n",
" (np.concatenate(\n",
" (np.random.normal(0.25, 0.15, size=N_points//4).reshape(N_points//4,1), \n",
" np.random.normal(0.25, 0.15, size=N_points//4).reshape(N_points//4,1)), \n",
" axis=1),\n",
" np.concatenate(\n",
" (np.random.normal(0.75, 0.15, size=N_points//4).reshape(N_points//4,1), \n",
" np.random.normal(0.75, 0.15, size=N_points//4).reshape(N_points//4,1)), \n",
" axis=1))\n",
" )\n",
" Y_class_0 = np.full((N_points//2,), 0)\n",
" \n",
" X = np.concatenate((X_class_1, X_class_0), axis=0)\n",
" Y = np.concatenate((Y_class_1, Y_class_0), axis=0)\n",
" return X, Y\n",
" \n",
"xor_X, xor_Y = generate_xor_like_dataset(N_points)\n",
"\n",
"plt.scatter(xor_X[:N_points//2, 0], xor_X[:N_points//2, 1], color='red', label='class 1') \n",
"plt.scatter(xor_X[N_points//2:, 0], xor_X[N_points//2:, 1], color='blue', label='class 0')\n",
"plt.legend(loc=9, bbox_to_anchor=(0.5, -0.1), ncol=2)\n",
"plt.show()\n",
"\n",
"xor_weights = {\n",
" 'W1': np.random.randn(3, 2),\n",
" 'b1': np.zeros(3),\n",
" 'W2': np.random.randn(3),\n",
" 'b2': 0,\n",
"}\n",
"xor_initial_weights = copy.deepcopy(xor_weights)\n",
"xor_losses = []\n",
"for epoch in range(epochs):\n",
" gradients, L = back_propagation(xor_X, xor_Y, xor_weights)\n",
" for weight_name in xor_weights:\n",
" xor_weights[weight_name] -= epsilon * gradients[weight_name]\n",
" \n",
" xor_losses.append(L)\n",
" \n",
"plt.scatter(range(epochs), xor_losses)\n",
"plt.title('Training Loss')\n",
"plt.xlabel('Epoch')\n",
"plt.ylabel('Loss')\n",
"plt.show()\n",
"\n",
"visualization(xor_weights, xor_X, 'Visualization after learning', superposed_training=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "90b2af95-78d0-459a-84d3-0ef12ed9c906",
"_uuid": "0113f2616f63101224762612459872c09871e73d"
},
"source": [
"## Conclusion\n",
"As a conclusion, backpropagation is not an extremely complicated algorithm, and as we have seen above, it is pretty straightforward to derive a bare numpy implementation for it. Although it comes out of the box with most of the deep learning frameworks, it is a good idea to get your hands dirty and understand a little bit more what it does. In some occasions, it might help you understand why your network is not learning properly."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.5"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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