{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Autoencoder transformation (encode-decode)\n", "\n", "Considering a dataset with $p$ numerical attributes. \n", "\n", "The goal of the autoencoder is to reduce the dimension of $p$ to $k$, such that these $k$ attributes are enough to recompose the original $p$ attributes. However from the $k$ dimensionals the data is returned back to $p$ dimensions. The higher the quality of autoencoder the similiar is the output from the input. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "── \u001b[1mAttaching core tidyverse packages\u001b[22m ──────────────────────────────────────────────────────────────── tidyverse 2.0.0 ──\n", "\u001b[32m✔\u001b[39m \u001b[34mdplyr \u001b[39m 1.1.4 \u001b[32m✔\u001b[39m \u001b[34mreadr \u001b[39m 2.1.5\n", "\u001b[32m✔\u001b[39m \u001b[34mforcats \u001b[39m 1.0.0 \u001b[32m✔\u001b[39m \u001b[34mstringr \u001b[39m 1.5.1\n", "\u001b[32m✔\u001b[39m \u001b[34mggplot2 \u001b[39m 3.4.4 \u001b[32m✔\u001b[39m \u001b[34mtibble \u001b[39m 3.2.1\n", "\u001b[32m✔\u001b[39m \u001b[34mlubridate\u001b[39m 1.9.3 \u001b[32m✔\u001b[39m \u001b[34mtidyr \u001b[39m 1.3.1\n", "\u001b[32m✔\u001b[39m \u001b[34mpurrr \u001b[39m 1.0.2 \n", "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────────────────────────────────────────────── tidyverse_conflicts() ──\n", "\u001b[31m✖\u001b[39m \u001b[34mpurrr\u001b[39m::\u001b[32m%||%()\u001b[39m masks \u001b[34mbase\u001b[39m::%||%()\n", "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n", "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m masks \u001b[34mstats\u001b[39m::lag()\n", "\u001b[36mℹ\u001b[39m Use the conflicted package (\u001b[3m\u001b[34m\u001b[39m\u001b[23m) to force all conflicts to become errors\n", "\u001b[36mℹ\u001b[39m Additional software needs to be \u001b[1m\u001b[1mdownloaded\u001b[1m\u001b[22m and \u001b[1m\u001b[1minstalled\u001b[1m\u001b[22m for torch to work correctly.\n", "\n" ] }, { "name": "stdin", "output_type": "stream", "text": [ "Do you want to continue? (Yes/no/cancel) yes\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“\u001b[1m\u001b[22m\u001b[36mℹ\u001b[39m Failed to install torch, manually run `install_torch()`\n", "Unsupported CUDA version \u001b[34m\"11.5\"\u001b[39m\n", "Caused by error in `check_supported_version()`:\n", "\u001b[1m\u001b[22m\u001b[31m✖\u001b[39m Unsupported CUDA version \u001b[34m\"11.5\"\u001b[39m\n", "\u001b[36mℹ\u001b[39m Currently supported versions are: \u001b[34m\"11.7\"\u001b[39m and \u001b[34m\"11.8\"\u001b[39m.”\n", "Loading required package: magrittr\n", "\n", "\n", "Attaching package: ‘magrittr’\n", "\n", "\n", "The following object is masked from ‘package:purrr’:\n", "\n", " set_names\n", "\n", "\n", "The following object is masked from ‘package:tidyr’:\n", "\n", " extract\n", "\n", "\n", "\n", "Attaching package: ‘imager’\n", "\n", "\n", "The following object is masked from ‘package:magrittr’:\n", "\n", " add\n", "\n", "\n", "The following object is masked from ‘package:stringr’:\n", "\n", " boundary\n", "\n", "\n", "The following object is masked from ‘package:dplyr’:\n", "\n", " where\n", "\n", "\n", "The following object is masked from ‘package:tidyr’:\n", "\n", " fill\n", "\n", "\n", "The following objects are masked from ‘package:stats’:\n", "\n", " convolve, spectrum\n", "\n", "\n", "The following object is masked from ‘package:graphics’:\n", "\n", " frame\n", "\n", "\n", "The following object is masked from ‘package:base’:\n", "\n", " save.image\n", "\n", "\n", "Loading required package: lattice\n", "\n", "\n", "Attaching package: ‘caret’\n", "\n", "\n", "The following object is masked from ‘package:purrr’:\n", "\n", " lift\n", "\n", "\n", "Loading required package: usethis\n", "\n", "\u001b[1m\u001b[22m\u001b[36mℹ\u001b[39m Loading \u001b[34mdaltoolbox\u001b[39m\n", "Registered S3 method overwritten by 'quantmod':\n", " method from\n", " as.zoo.data.frame zoo \n", "\n" ] } ], "source": [ "# DAL ToolBox\n", "# version 1.1.727\n", "\n", "source(\"https://raw.githubusercontent.com/cefet-rj-dal/daltoolbox/main/jupyter.R\")\n", "\n", "library(tidyverse)\n", "library(torchvision)\n", "library(imager)\n", "library(caret)\n", "library(stringr)\n", "library(devtools)\n", "load_all(\"/home/lucas/daltoolbox_autoenc\")\n", "#loading DAL\n", "# load_library(\"daltoolbox\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### dataset for example " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] 19820\n" ] } ], "source": [ "dataset_path <- '/home/lucas/datasets/images/kaggle_chest_c19_xrays/'\n", "folder_list <- head(list.files(paste0(dataset_path, 'images/')), 3)\n", "folder_paths <- paste0(dataset_path, 'images/', folder_list, '/images/')\n", "file_names <- map(folder_paths, function(x) paste0(x, list.files(x))) %>%\n", " unlist()\n", "\n", "# Print total number of images\n", "print(length(file_names))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### sampling one image for each class" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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9q1GzdXqSxC1hCtt48tVigGtm5Yt7a0bEBttLoDQSiCLAa1VCziDNOHRLwhunTk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D5aUD0PJOGCViIZNC40lknIm+/kn6xHsP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\nsiIvNTPt5u20guK8nJKK0rIaNLq1uxVTV1nZ2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LIpq5SFqf5G1J3UwqxrV1PuXv34xo30m1euXLuDG6cL5e64c5TQji3Pu3npnZcCpD+V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\nx5qJDfLECTI1YnYWN7TDVXXVVZWe/JWLnnn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"text/plain": [ "Plot with title “”" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "class_examples <- c()\n", "for (image_class in folder_list){\n", " class_images <- str_detect(file_names, image_class)\n", " class_example <- sample(file_names[class_images], 1)\n", " \n", " class_examples <- c(class_examples, class_example)\n", "}\n", "\n", "# Plot samples\n", "img <- map(class_examples, load.image)\n", "\n", "par(mfrow=(c(1,3)))\n", "p <- map(img, plot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### spliting into training and test" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 299\n", "\\item 299\n", "\\item 1\n", "\\item 1\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 299\n", "2. 299\n", "3. 1\n", "4. 1\n", "\n", "\n" ], "text/plain": [ "[1] 299 299 1 1" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Sample the data\n", "sample_images <- sample(file_names, 400)\n", "\n", "# Check dimensions\n", "img <- load.image(file_names[1])\n", "dim(img)\n", "\n", "get_dim <- function(x){\n", " img <- load.image(x) \n", " \n", " df_img <- data.frame(height = height(img),\n", " width = width(img),\n", " filename = x\n", " )\n", " \n", " return(df_img)\n", "}\n", "\n", "dim_df <- map_df(sample_images, get_dim)\n", "\n", "input_size <- as.array(c(1, as.vector(unlist(dim_df[1, c('height', 'width')]))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### spliting in train and test" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
  1. 200
  2. 1
  3. 299
  4. 299
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 200\n", "\\item 1\n", "\\item 299\n", "\\item 299\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 200\n", "2. 1\n", "3. 299\n", "4. 299\n", "\n", "\n" ], "text/plain": [ "[1] 200 1 299 299" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
  1. 200
  2. 1
  3. 299
  4. 299
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 200\n", "\\item 1\n", "\\item 299\n", "\\item 299\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 200\n", "2. 1\n", "3. 299\n", "4. 299\n", "\n", "\n" ], "text/plain": [ "[1] 200 1 299 299" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create Dataset\n", "sample_size <- length(sample_images)/2\n", "train <- array(0, c(length(sample_images)/2, input_size[1], input_size[2], input_size[3]))\n", "test <- array(0, c(length(sample_images)/2, input_size[1], input_size[2], input_size[3]))\n", "a <- 1\n", "for (i in sample_images[1:sample_size]){\n", " if (a <= sample_size){\n", " train[a, 1, , ] <- as.array(load.image(i))\n", " }else{\n", " test[a, 1, , ] <- as.array(load.image(i))\n", " }\n", " a <- a + 1\n", "}\n", "\n", "dim(train)\n", "dim(test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### creating autoencoder\n", "Reduce from 5 to 3 dimensions" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "auto <- cae2d_encode_decode(input_size, encoding_size=200, batch_size=100, num_epochs=250, learning_rate=0.01)\n", "\n", "auto <- fit(auto, train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### learning curves" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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rrN9/LYY489//zzb7311k477SRpyZIlu+666+OPPx6LxWKx2FlnnbXrrrvuv//+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1duKaR3ra1vYka+wqmSUToQ8886zuByLH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\ngg3UT6wr7EQtVBhJws6yuO02Vla4917W1njwQa67DssaE7txDIuxsNvOSM/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2nWl0IsIOR1FjxM7udAFF0+XxEsQubHcyyIoVVbE5cXR2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\no+EbaFgTXTNFXgBlAIHu/M+cQIqK3fSbMP2mZAef5YqdmBXLih2lxWBHR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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "auto <- fit(auto, train)\n", "\n", "train_loss <- unlist(auto$model$train_loss)\n", "val_loss <- unlist(auto$model$val_loss)\n", "\n", "fit_loss <- as.data.frame(cbind(train_loss, val_loss))\n", "fit_loss['epoch'] <- 1:nrow(fit_loss)\n", "\n", "ggplot(fit_loss, aes(x=epoch)) +\n", "geom_line(aes(y=train_loss, colour='Train Loss')) +\n", "geom_line(aes(y=val_loss, colour='Val Loss')) +\n", "scale_color_manual(values=c('Blue','Orange')) +\n", "theme_classic()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### testing autoencoder\n", "presenting the original test set and display encoding" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
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TKTmSO+MjcgZdpKD/HzrLa8IPWebiCFYXzItHMgOZBOIw6klQDJ18oSa9gN0GnV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NbdO2TdswjMO4PJJEOBiSmHj0PO9yf7/X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\nI42VuQyLAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title “Reconstructed”" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "result <- transform(auto, train)\n", "\n", "example_result <- result[1, 1, , ]\n", "\n", "dim(example_result)\n", "\n", "example_result[example_result > 1] <- 1\n", "\n", "rotate <- function(x) t(apply(x, 2, rev))\n", "\n", "plot_image <- function(x, col, img_list=plot_comparison){\n", "image(plot_comparison[[x]], col=col)\n", "title(x)\n", "}\n", "\n", "plot_comparison <- list()\n", "\n", "plot_comparison[['Input']] <- rotate(rotate(as.matrix(load.image(sample_images[length(sample_images)/2]))))\n", "plot_comparison[['Reconstructed']] <- rotate(rotate(as.matrix(example_result)))\n", "\n", "par(mfrow=(c(1,2)))\n", "map(names(plot_comparison), plot_image, col=grey.colors(50), img_list=plot_comparison)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.4.2" } }, "nbformat": 4, "nbformat_minor": 4 }