{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Deep Learning: Lesson 1\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Started talking about logistics\n",
    "\n",
    "#### Talking about the formus (which crashed right when he ran it)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What is deep learning? \n",
    "\n",
    "Anything instead of programming a computer step by step, you provide examples instead. Arthur samuels. Talking about breast cancer survivors. Can work really well, depends on the experts and if you can come up with the features.\n",
    "\n",
    "### In the last few years... \n",
    "\n",
    "It's become more advanced, can recommend pre-written responses. Can actually generate responses.\n",
    "\n",
    "1. google suggest responses\n",
    "2. human can sketch, and the deep learning can turn that into a painting of any style. Newer versions can update the painting realtime. \n",
    "3. How is Deep learning being used to google?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](https://whatsthebigdata.files.wordpress.com/2017/01/deeplearning_google.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Deep Learning improves cooling techniques"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://deepmind.com/blog/deepmind-ai-reduces-google-data-centre-cooling-bill-40/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Deep Learning AlphaGo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=https://image.slidesharecdn.com/deeplearning-thepastpresentandfutureofartificialintelligence-151205235804-lva1-app6891/95/deep-learning-the-past-present-and-future-of-artificial-intelligence-53-638.jpg?cb=1487990822 style=\"width: 500px;\" />\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are looking for a flexible math function that we can solve any problem. If its infinitely flexible, then there will be many many parameters. So to ensure that it works, we need to ensure that fitting those variables needs to be fast and scalable.\n",
    "\n",
    "## Key Element: Neural Network\n",
    "The functional form is the neural network.\n",
    "\n",
    "<img src=https://www.analyticsvidhya.com/wp-content/uploads/2016/03/2.-ann-structure.jpg style=\"width: 500px;\" />\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Key Element 2: Gradient Descent\n",
    "\n",
    "This is how we optimize and move towards the optimal solution for all variables simultaneously. Below as a visual approach for a 2d search. J is considered the loss. We want the lowest height. The two thetas are two input parameters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<img src=http://blog.datumbox.com/wp-content/uploads/2013/10/gradient-descent.png style=\"width: 500px;\" />"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Very simple models of Gradient Descent + Neural Networks usually work out the best"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Key Element 3: Next Advance: GPUS\n",
    "\n",
    "<img src=https://www.karlrupp.net/wp-content/uploads/2013/06/flops-per-cycle-sp.png style=\"width: 500px;\" />"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Convolutional Neural Networks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src='http://setosa.io/ev/image-kernels/fb-thumb.png' />"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "http://setosa.io/ev/image-kernels/\n",
    "\n",
    "Play with the interactive website and change the matrix values to manipulate one image to another.\n",
    "\n",
    "**discussion ** - multiply pixel by numbers to get another set of pixels. The below example 3 x 3 is a 'top edge detector'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[ 1,  2,  1],\n",
       "        [ 0,  0,  0],\n",
       "        [-1, -2, -1]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "A = np.matrix ('1 2 1; 0 0 0; -1 -2 -1')\n",
    "A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What about a right edge detector?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[ 1,  0,  1],\n",
       "        [-2,  0,  2],\n",
       "        [-1,  0, -1]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "A = np.matrix ('1 0 1; -2 0 2; -1 0 -1')\n",
    "A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are not doing a matrix product, we are doing element wise multiplication followed by addition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**What if you stacked all of these together in a linear combination?**\n",
    "\n",
    "Not very interesting\n",
    "\n",
    "**What if we used non-linear functions (sigmoid) ? ** turns out if we do a single layer, and we feed these linear operations through a non-linearity, and repeat that over and over again to represent a wide variety of problems\n",
    "\n",
    "**Then we will \"learn\" the matrices necessary**\n",
    "\n",
    "\n",
    "---\n",
    "\n",
    "**Most common non linear unit : RELU or rectified linear unit**\n",
    "\n",
    "1. Max of (0, value)\n",
    "2. Cutting edge element\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gradient Descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src='https://alykhantejani.github.io/images/gradient_descent_line_graph.gif' style=\"width: 800px;\" >"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sample of the different Layers of the Convolutional Neural Network\n",
    "\n",
    "Layer 1 - edges\n",
    "Layer 2 - color + shapes \n",
    "\n",
    "Layer 5 - large complexity\n",
    "\n",
    "<img src=http://karpathy.github.io/assets/zeilercnnfeatures.jpeg />\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src =https://image.slidesharecdn.com/lecture29-convolutionalneuralnetworks-visionspring2015-150504114140-conversion-gate02/95/lecture-29-convolutional-neural-networks-computer-vision-spring2015-48-638.jpg?cb=1430740006 />"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Big Idea: Cycle  Multiply + Add, replace negatives with zeros, Multiply + add replac...."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example Time ( Hour 2 Mark) - transition to Crestle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://s.users.crestle.com/.../notebooks/courses/fastai/deeplearning1/nbs/lesson1.ipynb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using Convolutional Neural Networks\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Welcome to the first week of the first deep learning certificate! We're going to use convolutional neural networks (CNNs) to allow our computer to see - something that is only possible thanks to deep learning."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction to this week's task: 'Dogs vs Cats'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We're going to try to create a model to enter the [Dogs vs Cats](https://www.kaggle.com/c/dogs-vs-cats) competition at Kaggle. There are 25,000 labelled dog and cat photos available for training, and 12,500 in the test set that we have to try to label for this competition. According to the Kaggle web-site, when this competition was launched (end of 2013): *\"**State of the art**: The current literature suggests machine classifiers can score above 80% accuracy on this task\"*. So if we can beat 80%, then we will be at the cutting edge as of 2013!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, replace the default keras with version 1.2.2. This is needed for part 1 of the course."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Put these at the top of every notebook, to get automatic reloading and inline plotting\n",
    "%reload_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This file contains all the main external libs we'll use\n",
    "\n",
    "import sys\n",
    "sys.path.append('/Users/tlee010/Desktop/github_repos/fastai/')\n",
    "from fastai.imports import *\n",
    "from fastai.transforms import *\n",
    "from fastai.conv_learner import *\n",
    "from fastai.model import *\n",
    "from fastai.dataset import *\n",
    "from fastai.sgdr import *\n",
    "from fastai.plots import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "PATH = \"/Users/tlee010/Desktop/MSAN-pywork/DeepLearning/\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How to look at functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "!!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Getting the Data of cats and dogs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2017-10-30 20:36:22--  http://files.fast.ai/data/dogscats.zip\n",
      "Resolving files.fast.ai... 67.205.15.147\n",
      "Connecting to files.fast.ai|67.205.15.147|:80... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 857214334 (818M) [application/zip]\n",
      "Saving to: ‘dogscats.zip’\n",
      "\n",
      "dogscats.zip        100%[===================>] 817.50M  6.93MB/s    in 2m 29s  \n",
      "\n",
      "2017-10-30 20:38:51 (5.50 MB/s) - ‘dogscats.zip’ saved [857214334/857214334]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "!wget http://files.fast.ai/data/dogscats.zip"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Unzip in same folder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Archive:  dogscats.zip\n",
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     ]
    }
   ],
   "source": [
    "!unzip dogscats.zip"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First look at cat pictures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our library will assume that you have *train* and *valid* directories. It also assumes that each dir will have subdirs for each class you wish to recognize (in this case, 'cats' and 'dogs')."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "PATH = \"/Users/tlee010/Desktop/MSAN-pywork/DeepLearning/dogscats/\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mmodels\u001b[m\u001b[m \u001b[1m\u001b[36msample\u001b[m\u001b[m \u001b[1m\u001b[36mtest1\u001b[m\u001b[m  \u001b[1m\u001b[36mtrain\u001b[m\u001b[m  \u001b[1m\u001b[36mvalid\u001b[m\u001b[m\r\n"
     ]
    }
   ],
   "source": [
    "!ls {PATH}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['cat.1001.jpg',\n",
       " 'cat.10016.jpg',\n",
       " 'cat.10026.jpg',\n",
       " 'cat.10048.jpg',\n",
       " 'cat.10050.jpg',\n",
       " 'cat.10064.jpg',\n",
       " 'cat.10071.jpg',\n",
       " 'cat.10091.jpg',\n",
       " 'cat.10103.jpg',\n",
       " 'cat.10104.jpg']"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "files = !ls {PATH}valid/cats | head\n",
    "files"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's run the Model!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sz=224"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Downloading: \"https://download.pytorch.org/models/resnet34-333f7ec4.pth\" to /Users/tlee010/.torch/models/resnet34-333f7ec4.pth\n",
      "100%|██████████| 87306240/87306240 [00:15<00:00, 5742478.30it/s]\n"
     ]
    },
    {
     "ename": "AssertionError",
     "evalue": "Torch not compiled with CUDA enabled",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAssertionError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[0;32m<timed exec>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;32m~/Desktop/github_repos/fastai/fastai/conv_learner.py\u001b[0m in \u001b[0;36mpretrained\u001b[0;34m(self, f, data, ps, xtra_fc, xtra_cut, **kwargs)\u001b[0m\n\u001b[1;32m     86\u001b[0m     \u001b[0;34m@\u001b[0m\u001b[0mclassmethod\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     87\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mpretrained\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mps\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_fc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_cut\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 88\u001b[0;31m         \u001b[0mmodels\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mConvnetBuilder\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_multi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_reg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mps\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mps\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_fc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mxtra_fc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_cut\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mxtra_cut\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     89\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmodels\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     90\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/Desktop/github_repos/fastai/fastai/conv_learner.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, f, c, is_multi, is_reg, ps, xtra_fc, xtra_cut)\u001b[0m\n\u001b[1;32m     40\u001b[0m         \u001b[0mfc_layers\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_fc_layers\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     41\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mn_fc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfc_layers\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 42\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfc_model\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSequential\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mfc_layers\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     43\u001b[0m         \u001b[0mapply_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfc_model\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkaiming_normal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     44\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSequential\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlayers\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mfc_layers\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36mcuda\u001b[0;34m(self, device_id)\u001b[0m\n\u001b[1;32m    145\u001b[0m                 \u001b[0mcopied\u001b[0m \u001b[0mto\u001b[0m \u001b[0mthat\u001b[0m \u001b[0mdevice\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    146\u001b[0m         \"\"\"\n\u001b[0;32m--> 147\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice_id\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    148\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    149\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mcpu\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36m_apply\u001b[0;34m(self, fn)\u001b[0m\n\u001b[1;32m    116\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    117\u001b[0m         \u001b[0;32mfor\u001b[0m \u001b[0mmodule\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mchildren\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 118\u001b[0;31m             \u001b[0mmodule\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    119\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    120\u001b[0m         \u001b[0;32mfor\u001b[0m \u001b[0mparam\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parameters\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36m_apply\u001b[0;34m(self, fn)\u001b[0m\n\u001b[1;32m    122\u001b[0m                 \u001b[0;31m# Variables stored in modules are graph leaves, and we don't\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    123\u001b[0m                 \u001b[0;31m# want to create copy nodes, so we have to unpack the data.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 124\u001b[0;31m                 \u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    125\u001b[0m                 \u001b[0;32mif\u001b[0m \u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_grad\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    126\u001b[0m                     \u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_grad\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_grad\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36m<lambda>\u001b[0;34m(t)\u001b[0m\n\u001b[1;32m    145\u001b[0m                 \u001b[0mcopied\u001b[0m \u001b[0mto\u001b[0m \u001b[0mthat\u001b[0m \u001b[0mdevice\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    146\u001b[0m         \"\"\"\n\u001b[0;32m--> 147\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice_id\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    148\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    149\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mcpu\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/_utils.py\u001b[0m in \u001b[0;36m_cuda\u001b[0;34m(self, device, async)\u001b[0m\n\u001b[1;32m     64\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     65\u001b[0m             \u001b[0mnew_type\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgetattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__class__\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__name__\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 66\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mnew_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcopy_\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0masync\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     67\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     68\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/cuda/__init__.py\u001b[0m in \u001b[0;36m_lazy_new\u001b[0;34m(cls, *args, **kwargs)\u001b[0m\n\u001b[1;32m    264\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mstaticmethod\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    265\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_lazy_new\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcls\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 266\u001b[0;31m     \u001b[0m_lazy_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    267\u001b[0m     \u001b[0;31m# We need this method only for lazy init, so we can remove it\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    268\u001b[0m     \u001b[0;32mdel\u001b[0m \u001b[0m_CudaBase\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__new__\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/cuda/__init__.py\u001b[0m in \u001b[0;36m_lazy_init\u001b[0;34m()\u001b[0m\n\u001b[1;32m     82\u001b[0m         raise RuntimeError(\n\u001b[1;32m     83\u001b[0m             \"Cannot re-initialize CUDA in forked subprocess. \" + msg)\n\u001b[0;32m---> 84\u001b[0;31m     \u001b[0m_check_driver\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     85\u001b[0m     \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     86\u001b[0m     \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_sparse_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/cuda/__init__.py\u001b[0m in \u001b[0;36m_check_driver\u001b[0;34m()\u001b[0m\n\u001b[1;32m     49\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_check_driver\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     50\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'_cuda_isDriverSufficient'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 51\u001b[0;31m         \u001b[0;32mraise\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Torch not compiled with CUDA enabled\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     52\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_isDriverSufficient\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     53\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_getDriverVersion\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mAssertionError\u001b[0m: Torch not compiled with CUDA enabled"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "data = ImageClassifierData.from_paths(PATH, tfms=tfms_from_model(resnet34, sz))\n",
    "learn = ConvLearner.pretrained(resnet34, data, precompute=True)\n",
    "learn.fit(0.01, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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R1WpBSglrNSE4Qow0bUvrOsK2YOVj6MMaAShJCpHgPXt7e5SDCmUNAImwLRb1JlUflikt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\nGl/J8f8BnSDvOeP4FpwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112d39ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = plt.imread(f'{PATH}valid/cats/{files[0]}')\n",
    "plt.imshow(img);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(499, 336, 3)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[60, 58, 10],\n",
       "        [60, 57, 14],\n",
       "        [61, 56, 18],\n",
       "        [63, 54, 23]],\n",
       "\n",
       "       [[56, 54,  6],\n",
       "        [56, 53, 10],\n",
       "        [57, 52, 14],\n",
       "        [60, 51, 20]],\n",
       "\n",
       "       [[52, 49,  4],\n",
       "        [52, 49,  6],\n",
       "        [53, 48, 10],\n",
       "        [56, 47, 16]],\n",
       "\n",
       "       [[50, 47,  2],\n",
       "        [50, 47,  4],\n",
       "        [51, 45,  9],\n",
       "        [53, 44, 13]]], dtype=uint8)"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img[:4,:4]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Use Resnet 34, its generally the better library"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The *learning rate* determines how quickly or how slowly you want to update the *weights* (or *parameters*). Learning rate is one of the most difficult parameters to set, because it significantly affect model performance.\n",
    "\n",
    "The method `learn.lr_find()` helps you find an optimal learning rate. It uses the technique developed in the 2015 paper [Cyclical Learning Rates for Training Neural Networks](http://arxiv.org/abs/1506.01186), where we simply keep increasing the learning rate from a very small value, until the loss starts decreasing. We can plot the learning rate across batches to see what this looks like.\n",
    "\n",
    "We first create a new learner, since we want to know how to set the learning rate for a new (untrained) model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "ename": "AssertionError",
     "evalue": "Torch not compiled with CUDA enabled",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAssertionError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-53-faabcdaf100f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mlearn\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mConvLearner\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpretrained\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresnet34\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mprecompute\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/Desktop/github_repos/fastai/fastai/conv_learner.py\u001b[0m in \u001b[0;36mpretrained\u001b[0;34m(self, f, data, ps, xtra_fc, xtra_cut, **kwargs)\u001b[0m\n\u001b[1;32m     86\u001b[0m     \u001b[0;34m@\u001b[0m\u001b[0mclassmethod\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     87\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mpretrained\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mps\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_fc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_cut\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 88\u001b[0;31m         \u001b[0mmodels\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mConvnetBuilder\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_multi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_reg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mps\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mps\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_fc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mxtra_fc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxtra_cut\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mxtra_cut\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     89\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmodels\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     90\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/Desktop/github_repos/fastai/fastai/conv_learner.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, f, c, is_multi, is_reg, ps, xtra_fc, xtra_cut)\u001b[0m\n\u001b[1;32m     40\u001b[0m         \u001b[0mfc_layers\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_fc_layers\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     41\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mn_fc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfc_layers\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 42\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfc_model\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSequential\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mfc_layers\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     43\u001b[0m         \u001b[0mapply_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfc_model\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkaiming_normal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     44\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSequential\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlayers\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mfc_layers\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36mcuda\u001b[0;34m(self, device_id)\u001b[0m\n\u001b[1;32m    145\u001b[0m                 \u001b[0mcopied\u001b[0m \u001b[0mto\u001b[0m \u001b[0mthat\u001b[0m \u001b[0mdevice\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    146\u001b[0m         \"\"\"\n\u001b[0;32m--> 147\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice_id\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    148\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    149\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mcpu\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36m_apply\u001b[0;34m(self, fn)\u001b[0m\n\u001b[1;32m    116\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    117\u001b[0m         \u001b[0;32mfor\u001b[0m \u001b[0mmodule\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mchildren\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 118\u001b[0;31m             \u001b[0mmodule\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    119\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    120\u001b[0m         \u001b[0;32mfor\u001b[0m \u001b[0mparam\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parameters\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36m_apply\u001b[0;34m(self, fn)\u001b[0m\n\u001b[1;32m    122\u001b[0m                 \u001b[0;31m# Variables stored in modules are graph leaves, and we don't\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    123\u001b[0m                 \u001b[0;31m# want to create copy nodes, so we have to unpack the data.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 124\u001b[0;31m                 \u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    125\u001b[0m                 \u001b[0;32mif\u001b[0m \u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_grad\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    126\u001b[0m                     \u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_grad\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_grad\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36m<lambda>\u001b[0;34m(t)\u001b[0m\n\u001b[1;32m    145\u001b[0m                 \u001b[0mcopied\u001b[0m \u001b[0mto\u001b[0m \u001b[0mthat\u001b[0m \u001b[0mdevice\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    146\u001b[0m         \"\"\"\n\u001b[0;32m--> 147\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_apply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice_id\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    148\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    149\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mcpu\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/_utils.py\u001b[0m in \u001b[0;36m_cuda\u001b[0;34m(self, device, async)\u001b[0m\n\u001b[1;32m     64\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     65\u001b[0m             \u001b[0mnew_type\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgetattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcuda\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__class__\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__name__\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 66\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mnew_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcopy_\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0masync\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     67\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     68\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/cuda/__init__.py\u001b[0m in \u001b[0;36m_lazy_new\u001b[0;34m(cls, *args, **kwargs)\u001b[0m\n\u001b[1;32m    264\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mstaticmethod\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    265\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_lazy_new\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcls\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 266\u001b[0;31m     \u001b[0m_lazy_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    267\u001b[0m     \u001b[0;31m# We need this method only for lazy init, so we can remove it\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    268\u001b[0m     \u001b[0;32mdel\u001b[0m \u001b[0m_CudaBase\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__new__\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/cuda/__init__.py\u001b[0m in \u001b[0;36m_lazy_init\u001b[0;34m()\u001b[0m\n\u001b[1;32m     82\u001b[0m         raise RuntimeError(\n\u001b[1;32m     83\u001b[0m             \"Cannot re-initialize CUDA in forked subprocess. \" + msg)\n\u001b[0;32m---> 84\u001b[0;31m     \u001b[0m_check_driver\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     85\u001b[0m     \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     86\u001b[0m     \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_sparse_init\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda/envs/fastai/lib/python3.6/site-packages/torch/cuda/__init__.py\u001b[0m in \u001b[0;36m_check_driver\u001b[0;34m()\u001b[0m\n\u001b[1;32m     49\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_check_driver\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     50\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'_cuda_isDriverSufficient'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 51\u001b[0;31m         \u001b[0;32mraise\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Torch not compiled with CUDA enabled\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     52\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_isDriverSufficient\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     53\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_C\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cuda_getDriverVersion\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mAssertionError\u001b[0m: Torch not compiled with CUDA enabled"
     ]
    }
   ],
   "source": [
    "learn = ConvLearner.pretrained(resnet34, data, precompute=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lrf=learn.lr_find()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Choosing a learning rate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Number of Epochs\n",
    "How many times should it go through the pictures to learn the different features\n",
    "\n",
    "#### Learning Rate\n",
    "With gradient descent - you have to figure out which way is downhill. We take the derivative up hill or downhill. The learning rate is what do we multiple the derivative (gradient by). You might overshoot if you go too large, but if you go small, you might take forever to get there."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Better to find a learning rate\n",
    "https://arxiv.org/pdf/1506.01186\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### There's a function for it in fast AI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['/bin/bash: -c: line 1: syntax error: unexpected end of file']"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "!!learn.lr_find()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "learn.lr_find()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## how it works \n",
    "\n",
    "It uses mini-batches to calculate the learning rate, and then we can make a plot between error vs. learning rate. You want to choose a learning rate  where the error doesn't increase anymore"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "learn.sched.plot_lr() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "learn.sched.plot_lr() "
   ]
  }
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