diff --git a/binder/install.R b/binder/install.R new file mode 100644 index 00000000..fd3e5108 --- /dev/null +++ b/binder/install.R @@ -0,0 +1,5 @@ +install.packages("data.table") +install.packages("wordcloud") +install.packages("tm") +install.packages("dplyr") +install.packages("ggplot2") \ No newline at end of file diff --git a/binder/runtime.txt b/binder/runtime.txt new file mode 100644 index 00000000..63e57b5f --- /dev/null +++ b/binder/runtime.txt @@ -0,0 +1 @@ +r-4.0.2-2020-06-22 diff --git a/movie_lens_prediction_with_cf/movie-lens-cf-r.ipynb b/movie_lens_prediction_with_cf/movie-lens-cf-r.ipynb new file mode 100644 index 00000000..1c716c4b --- /dev/null +++ b/movie_lens_prediction_with_cf/movie-lens-cf-r.ipynb @@ -0,0 +1,933 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + "Attaching package: ‘mlpack’\n", + "\n", + "\n", + "The following object is masked from ‘package:stats’:\n", + "\n", + " kmeans\n", + "\n", + "\n", + "The following object is masked from ‘package:base’:\n", + "\n", + " det\n", + "\n", + "\n", + "Loading required package: RColorBrewer\n", + "\n", + "Loading required package: NLP\n", + "\n", + "\n", + "Attaching package: ‘dplyr’\n", + "\n", + "\n", + "The following objects are masked from ‘package:data.table’:\n", + "\n", + " between, first, last\n", + "\n", + "\n", + "The following objects are masked from ‘package:stats’:\n", + "\n", + " filter, lag\n", + "\n", + "\n", + "The following objects are masked from ‘package:base’:\n", + "\n", + " intersect, setdiff, setequal, union\n", + "\n", + "\n", + "\n", + "Attaching package: ‘ggplot2’\n", + "\n", + "\n", + "The following object is masked from ‘package:NLP’:\n", + "\n", + " annotate\n", + "\n", + "\n" + ] + } + ], + "source": [ + "# load required libraries or packages for this example\n", + "library(mlpack)\n", + "library(data.table)\n", + "library(wordcloud)\n", + "library(tm)\n", + "library(dplyr)\n", + "library(ggplot2)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "
  1. 20000263
  2. 3
\n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 20000263\n", + "\\item 3\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 20000263\n", + "2. 3\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 20000263 3" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
  1. 27278
  2. 4
\n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 27278\n", + "\\item 4\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 27278\n", + "2. 4\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 27278 4" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# read movie and ratings data into memory \n", + "ratings <- fread(\"http://www.mlpack.org/datasets/ml-20m/ratings-only.csv.gz\")\n", + "movies <- fread(\"http://www.mlpack.org/datasets/ml-20m/movies.csv.gz\")\n", + "\n", + "# return the dimensions of the ratings and movies\n", + "dim(ratings)\n", + "dim(movies)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The ratings data set contains over twenty million observations featuring 3 columns, userId an integer id for the user, movieId an integer id for the movie or film, rating numeric or double for the rating assigned to the movie by a user on a scale of 0-5.\n", + "\n", + "The movielens data set contains a little over twenty-seven thousand movies. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Lets check the data set to see if there are any missing values." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "FALSE" + ], + "text/latex": [ + "FALSE" + ], + "text/markdown": [ + "FALSE" + ], + "text/plain": [ + "[1] FALSE" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "FALSE" + ], + "text/latex": [ + "FALSE" + ], + "text/markdown": [ + "FALSE" + ], + "text/plain": [ + "[1] FALSE" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "checkNas <- function(df)\n", + "{\n", + " df %>%\n", + " is.na() %>%\n", + " any()\n", + "}\n", + "\n", + "checkNas(ratings)\n", + "checkNas(movies)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 10 × 3
userIdmovieIdrating
<int><int><dbl>
1 13.5
1 283.5
1 313.5
1 463.5
1 493.5
11103.5
11494.0
12204.0
12504.0
12574.0
\n" + ], + "text/latex": [ + "A data.table: 10 × 3\n", + "\\begin{tabular}{lll}\n", + " userId & movieId & rating\\\\\n", + " & & \\\\\n", + "\\hline\n", + "\t 1 & 1 & 3.5\\\\\n", + "\t 1 & 28 & 3.5\\\\\n", + "\t 1 & 31 & 3.5\\\\\n", + "\t 1 & 46 & 3.5\\\\\n", + "\t 1 & 49 & 3.5\\\\\n", + "\t 1 & 110 & 3.5\\\\\n", + "\t 1 & 149 & 4.0\\\\\n", + "\t 1 & 220 & 4.0\\\\\n", + "\t 1 & 250 & 4.0\\\\\n", + "\t 1 & 257 & 4.0\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 10 × 3\n", + "\n", + "| userId <int> | movieId <int> | rating <dbl> |\n", + "|---|---|---|\n", + "| 1 | 1 | 3.5 |\n", + "| 1 | 28 | 3.5 |\n", + "| 1 | 31 | 3.5 |\n", + "| 1 | 46 | 3.5 |\n", + "| 1 | 49 | 3.5 |\n", + "| 1 | 110 | 3.5 |\n", + "| 1 | 149 | 4.0 |\n", + "| 1 | 220 | 4.0 |\n", + "| 1 | 250 | 4.0 |\n", + "| 1 | 257 | 4.0 |\n", + "\n" + ], + "text/plain": [ + " userId movieId rating\n", + "1 1 1 3.5 \n", + "2 1 28 3.5 \n", + "3 1 31 3.5 \n", + "4 1 46 3.5 \n", + "5 1 49 3.5 \n", + "6 1 110 3.5 \n", + "7 1 149 4.0 \n", + "8 1 220 4.0 \n", + "9 1 250 4.0 \n", + "10 1 257 4.0 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Peak at or print the first 10 rows of the ratings data. \n", + "head(ratings, n = 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "User 1 has rated the movies with id, 1 , 28, 31, 46, 49, 110 with a rating of 3.5. On the other hand the same user rated the movies with id, 149, 220, 250, 257 with a rating of 4. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.table: 10 × 4
V1movieIdtitlegenres
<int><int><chr><chr>
00Toy Story (1995) Adventure|Animation|Children|Comedy|Fantasy
11Jumanji (1995) Adventure|Children|Fantasy
22Grumpier Old Men (1995) Comedy|Romance
33Waiting to Exhale (1995) Comedy|Drama|Romance
44Father of the Bride Part II (1995)Comedy
55Heat (1995) Action|Crime|Thriller
66Sabrina (1995) Comedy|Romance
77Tom and Huck (1995) Adventure|Children
88Sudden Death (1995) Action
99GoldenEye (1995) Action|Adventure|Thriller
\n" + ], + "text/latex": [ + "A data.table: 10 × 4\n", + "\\begin{tabular}{llll}\n", + " V1 & movieId & title & genres\\\\\n", + " & & & \\\\\n", + "\\hline\n", + "\t 0 & 0 & Toy Story (1995) & Adventure\\textbar{}Animation\\textbar{}Children\\textbar{}Comedy\\textbar{}Fantasy\\\\\n", + "\t 1 & 1 & Jumanji (1995) & Adventure\\textbar{}Children\\textbar{}Fantasy \\\\\n", + "\t 2 & 2 & Grumpier Old Men (1995) & Comedy\\textbar{}Romance \\\\\n", + "\t 3 & 3 & Waiting to Exhale (1995) & Comedy\\textbar{}Drama\\textbar{}Romance \\\\\n", + "\t 4 & 4 & Father of the Bride Part II (1995) & Comedy \\\\\n", + "\t 5 & 5 & Heat (1995) & Action\\textbar{}Crime\\textbar{}Thriller \\\\\n", + "\t 6 & 6 & Sabrina (1995) & Comedy\\textbar{}Romance \\\\\n", + "\t 7 & 7 & Tom and Huck (1995) & Adventure\\textbar{}Children \\\\\n", + "\t 8 & 8 & Sudden Death (1995) & Action \\\\\n", + "\t 9 & 9 & GoldenEye (1995) & Action\\textbar{}Adventure\\textbar{}Thriller \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.table: 10 × 4\n", + "\n", + "| V1 <int> | movieId <int> | title <chr> | genres <chr> |\n", + "|---|---|---|---|\n", + "| 0 | 0 | Toy Story (1995) | Adventure|Animation|Children|Comedy|Fantasy |\n", + "| 1 | 1 | Jumanji (1995) | Adventure|Children|Fantasy |\n", + "| 2 | 2 | Grumpier Old Men (1995) | Comedy|Romance |\n", + "| 3 | 3 | Waiting to Exhale (1995) | Comedy|Drama|Romance |\n", + "| 4 | 4 | Father of the Bride Part II (1995) | Comedy |\n", + "| 5 | 5 | Heat (1995) | Action|Crime|Thriller |\n", + "| 6 | 6 | Sabrina (1995) | Comedy|Romance |\n", + "| 7 | 7 | Tom and Huck (1995) | Adventure|Children |\n", + "| 8 | 8 | Sudden Death (1995) | Action |\n", + "| 9 | 9 | GoldenEye (1995) | Action|Adventure|Thriller |\n", + "\n" + ], + "text/plain": [ + " V1 movieId title \n", + "1 0 0 Toy Story (1995) \n", + "2 1 1 Jumanji (1995) \n", + "3 2 2 Grumpier Old Men (1995) \n", + "4 3 3 Waiting to Exhale (1995) \n", + "5 4 4 Father of the Bride Part II (1995)\n", + "6 5 5 Heat (1995) \n", + "7 6 6 Sabrina (1995) \n", + "8 7 7 Tom and Huck (1995) \n", + "9 8 8 Sudden Death (1995) \n", + "10 9 9 GoldenEye (1995) \n", + " genres \n", + "1 Adventure|Animation|Children|Comedy|Fantasy\n", + "2 Adventure|Children|Fantasy \n", + "3 Comedy|Romance \n", + "4 Comedy|Drama|Romance \n", + "5 Comedy \n", + "6 Action|Crime|Thriller \n", + "7 Comedy|Romance \n", + "8 Adventure|Children \n", + "9 Action \n", + "10 Action|Adventure|Thriller " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Peak at or print the first 10 rows of the movie data.\n", + "head(movies, n = 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The movielens dataset contains data on a large number of movies. Present are three columns: movie ID, title, and genres. The genres fall into 18 categories, but more on that later." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# create a corpus of the titles and clean up the titles \n", + "options(warn=-1)\n", + "cleanedCorpus <- function(cp)\n", + "{\n", + " \n", + " cp %>% \n", + " VectorSource() %>%\n", + " Corpus() %>%\n", + " tm_map(. , content_transformer(tolower)) %>%\n", + " tm_map(. , removeWords, stopwords(kind = 'english')) %>%\n", + " tm_map(. , removePunctuation) %>%\n", + " tm_map(. , removeNumbers)\n", + "}\n", + "\n", + "movie_corpus <- cleanedCorpus(movies$title)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "<>\n", + "Metadata: corpus specific: 1, document level (indexed): 0\n", + "Content: documents: 30\n", + "\n", + " [1] toy story \n", + " [2] jumanji \n", + " [3] grumpier old men \n", + " [4] waiting exhale \n", + " [5] father bride part ii \n", + " [6] heat \n", + " [7] sabrina \n", + " [8] tom huck \n", + " [9] sudden death \n", + "[10] goldeneye \n", + "[11] american president \n", + "[12] dracula dead loving \n", + "[13] balto \n", + "[14] nixon \n", + "[15] cutthroat island \n", + "[16] casino \n", + "[17] sense sensibility \n", + "[18] four rooms \n", + "[19] ace ventura nature calls \n", + "[20] money train \n", + "[21] get shorty \n", + "[22] copycat \n", + "[23] assassins \n", + "[24] powder \n", + "[25] leaving las vegas \n", + "[26] othello \n", + "[27] now \n", + "[28] persuasion \n", + "[29] city lost children cité des enfants perdus la \n", + "[30] shanghai triad yao yao yao dao waipo qiao \n" + ] + } + ], + "source": [ + "# inspect the first 30 documents of the corpus\n", + "inspect(movie_corpus[1:30])\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Inspecting the movie corpus we have documents with the movie titles cleaned and in a good format for a word cloud. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "<>\n", + "Non-/sparse entries: 66466/595903278\n", + "Sparsity : 100%\n", + "Maximal term length: 23\n", + "Weighting : term frequency (tf)\n", + "Sample :\n", + " Docs\n", + "Terms 19145 19306 4961 5446 6128 7310 7316 9199 9292 9338\n", + " dead 0 0 0 1 0 0 0 0 0 0\n", + " girl 0 0 0 0 0 0 0 0 2 0\n", + " last 0 0 0 0 0 0 0 0 0 0\n", + " life 0 0 0 0 0 0 0 0 0 0\n", + " love 0 0 0 0 0 1 0 0 0 0\n", + " man 0 0 0 0 0 0 0 0 0 0\n", + " movie 1 0 0 0 0 0 0 0 1 0\n", + " night 0 0 0 0 0 0 0 0 0 0\n", + " story 0 0 0 0 0 0 0 0 0 0\n", + " time 0 0 0 0 0 0 0 0 0 0\n" + ] + } + ], + "source": [ + "tdm <- TermDocumentMatrix(movie_corpus, control = list(wordlengths=c(0, Inf)))\n", + "\n", + "inspect(tdm)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Pihid58sXLz/OZk9+oanzu3N71zvUH/Iw0v/qzujnptImU/E2ao6iLo7FP/dfTv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\n+6qvSfmnQA8xm//t2ut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hKYC7z0hJ0/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QjXnq6pT5gc4mYfGnyzBM/492VQ7aTedU3s09ZXVmFRIAACAASURBVGzhrDHspz7M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\nUINhuN866cfzgq7T93WYdT9dcDmJnSdev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aFbmaHosU5MfWHyOtelF0e2zBm2m5qMF/wFxUxurhAKOwhkboDCjgSG7aZdeO10JCzuzfmL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\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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Set a seed and set the color palette before plotting the wordcloud\n", + "set.seed(385)\n", + "pal <- brewer.pal(9, \"BuGn\")\n", + "\n", + "pal <- pal[-1:-3]\n", + "\n", + "movies_word_cloud <- wordcloud(movie_corpus, scale=c(10, .5), max.words = 75, colors = pal, random.order = FALSE)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Man, love, story, night, dead are among the most common words in movie titles." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# split our movie genres by the delimiter | and assign them to a character vector \n", + "genres_vec <- unlist(strsplit(movies$genres, \"|\", fixed = TRUE))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + 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Llojywj0hSmc65xxoiMikV4ZVsojILX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AgrFf5FTKdMYIxkKhdSMDAOwJEjtgDZHgmL5zXvPipuwAACAASURBVB3BqH0BhEBw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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# set a seed\n", + "# and plot the word cloud of genres\n", + "\n", + "set.seed(386)\n", + "\n", + "pal <- brewer.pal(6, \"BuGn\")\n", + "\n", + "genre_word_cloud <- wordcloud(genres_vec, scale = c(10, .5), max.words = 25, random.order = FALSE, random.color = FALSE, colors = pal)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Drama, and comedy are the two most commonly occuring genres according to the word cloud. Though a table might give us better insight into the other most common genres." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + ".\n", + "(no genres listed) Action Adventure Animation \n", + " 0.004521560 0.064698746 0.042807779 0.018876594 \n", + " Children Comedy Crime Documentary \n", + " 0.020935191 0.153916847 0.054019777 0.045417785 \n", + " Drama Fantasy Film-Noir Horror \n", + " 0.245267066 0.025953020 0.006065507 0.047991030 \n", + " IMAX Musical Mystery Romance \n", + " 0.003602544 0.019042017 0.027827813 0.075855604 \n", + " Sci-Fi Thriller War Western \n", + " 0.032036908 0.076793001 0.021946109 0.012425100 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# create a table of the genres to display percentage occurence\n", + "\n", + "table_of_genres <- genres_vec %>%\n", + "table() %>% \n", + "prop.table()\n", + "\n", + "# return the frequency or percentage of each film genre.\n", + "table_of_genres\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The table confirms the findings of the word cloud in that 24 percent of the films are Dramas and 15 percent of the films are Comedy. Thriller, Romance, and Action are the next three most common genres of movies in the dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;32m[INFO ] \u001b[0mdim var mean std median min max range skew kurt SE \n", + "\u001b[0;32m[INFO ] \u001b[0m0 1.1067 3.5255 1.0520 3.5000 0.5000 5.0000 4.5000 -0.6553 0.1375 0.0002 \n" + ] + }, + { + "data": { + "text/html": [ + "
    \n", + "
\n" + ], + "text/latex": [ + "\\begin{enumerate}\n", + "\\end{enumerate}\n" + ], + "text/markdown": [ + "\n", + "\n" + ], + "text/plain": [ + "list()" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# return descriptive statistics about the movie ratings\n", + "ratings$rating %>%\n", + "as.matrix() %>%\n", + "preprocess_describe(., verbose = TRUE)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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AEABELYAQAEIpnvAfIjmUz27ds331NkTUlJSb5HyIJYLBZFUTDHJRaLFRUV5XuK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\ngg==", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# make a histogram of the ratings \n", + "ratings_hist <- ggplot(ratings, aes(rating)) +\n", + " geom_histogram(binwidth = 0.5, color=\"Black\", fill=\"dodgerblue\") +\n", + " ggtitle(label = \"Histogram of movie ratings\")\n", + "\n", + "ratings_hist" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The mean rating is 3.5 with a rating of 3 or 4 being the other most common ratings." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;32m[INFO ] \u001b[0mTraining data contains 18000237 points.\n", + "\u001b[0;32m[INFO ] \u001b[0mTest data contains 2000026 points.\n" + ] + } + ], + "source": [ + "# hold out 10% of the dataset into a test set\n", + "# Set seed for reproducibility \n", + "set.seed(387)\n", + "output <- ratings %>%\n", + " as.matrix(.) %>%\n", + " preprocess_split(., test_ratio = 0.1, verbose = TRUE)\n", + "\n", + "ratings_train <- output$training\n", + "ratings_test <- output$test" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;33m[WARN ] \u001b[0m\"output\" ignored because no recommendations requested!\n", + "\u001b[0;32m[INFO ] \u001b[0mPerforming CF matrix decomposition on dataset...\n", + "\u001b[0;33m[WARN ] \u001b[0mThe batch size for optimizing RegularizedSVD is 1.\n", + "\u001b[0;32m[INFO ] \u001b[0mEpoch 1; objective 4.99683e+07.\n", + "\u001b[0;32m[INFO ] \u001b[0mEpoch 2; objective 1.57146e+07.\n", + "\u001b[0;32m[INFO ] \u001b[0m514515743 node combinations were scored.\n", + "\u001b[0;32m[INFO ] \u001b[0m456437473 base cases were calculated.\n", + "\u001b[0;32m[INFO ] \u001b[0mRMSE is 0.875984.\n" + ] + } + ], + "source": [ + "# Train the model. Change the rank to increase/decrease the complexity\n", + "# of the model.\n", + "model_output <- cf(training = ratings_train,\n", + " test = ratings_test,\n", + " rank = 10,\n", + " verbose = TRUE,\n", + " max_iterations = 2,\n", + " algorithm = \"RegSVD\")\n", + "\n", + "# model \n", + "cf_model <- model_output$output_model\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[0;32m[INFO ] \u001b[0mGenerating recommendations for 1 users.\n", + "\u001b[0;32m[INFO ] \u001b[0m933 node combinations were scored.\n", + "\u001b[0;32m[INFO ] \u001b[0m1308 base cases were calculated.\n" + ] + } + ], + "source": [ + "# query the 10 top movies for user 1.\n", + "output <- cf(input_model = cf_model,\n", + " query = matrix(1),\n", + " recommendations = 10,\n", + " verbose = TRUE)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Recommendations for user 1:\n", + " 1 : Island, The (a.k.a. Naked Island) (Hadaka no shima) (1960) \n", + " 2 : Welcome Home, Roxy Carmichael (1990) \n", + " 3 : Who the Hell Is Juliette? (¿Quién diablos es Juliette?) (1997) \n", + " 4 : Silence, The (Tystnaden) (1963) \n", + " 5 : Red River (1948) \n", + " 6 : Warriors (Guerreros) (2002) \n", + " 7 : Richard Pryor Live on the Sunset Strip (1982) \n", + " 8 : Hotel Terminus: The Life and Times of Klaus Barbie (Hôtel Terminus) (1988) \n", + " 9 : Good Morning (Ohayô) (1959) \n", + " 10 : Raisin in the Sun, A (2008) \n" + ] + } + ], + "source": [ + "# print the recommendations for user 1\n", + "cat(\"Recommendations for user 1:\\n\")\n", + "for (i in 1:10) {\n", + " cat(\" \", i, \":\", as.character(movies[output$output[i], 3]), \"\\n\")\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "User 1 hasn't rated any of these films, so lets join the data sets on the movieId as our output object has a list of the movieIds recommended to user 1." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# data.tables setkey() sorts our data.table according to a key we specify\n", + "setkey(movies, movieId)\n", + "setkey(ratings, movieId)\n", + "\n", + "# inner join the data on movieId\n", + "Joined <- movies[ratings, nomatch=0]" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ratings for user 1:\n", + " 1 : 4 - Island, The (a.k.a. Naked Island) (Hadaka no shima) (1960) \n", + " 2 : 4 - Welcome Home, Roxy Carmichael (1990) \n", + " 3 : 4.1 - Who the Hell Is Juliette? (¿Quién diablos es Juliette?) (1997) \n", + " 4 : 4 - Silence, The (Tystnaden) (1963) \n", + " 5 : 3.9 - Red River (1948) \n", + " 6 : 3.9 - Warriors (Guerreros) (2002) \n", + " 7 : 4 - Richard Pryor Live on the Sunset Strip (1982) \n", + " 8 : 4 - Hotel Terminus: The Life and Times of Klaus Barbie (Hôtel Terminus) (1988) \n", + " 9 : 3.8 - Good Morning (Ohayô) (1959) \n", + " 10 : 3.9 - Raisin in the Sun, A (2008) \n" + ] + } + ], + "source": [ + "# print the mean rating of the recommended movies to user 1\n", + "cat(\"Ratings for user 1:\\n\")\n", + "for (i in 1:10) {\n", + " cat(\" \", i, \":\", as.character(Joined[.(output$output[i]), round(mean(rating), digits = 1)]), \"-\", as.character(movies[output$output[i], 3]), \"\\n\")\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All of the movies recommended to user 1 have about an average rating of 4, so it looks like user 1 has great taste in movies." + ] + } + ], + "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": "4.0.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}