0. Dataset

In order to build our recommendation system, we have used the MovieLens Dataset. It consists of two files movies.csv and ratings.csv. This data consists of 105339 ratings applied over 10329 movies.

1. Importing Essential Libraries

Loading required package: Matrix
Loading required package: arules
Warning:
Attaching package: ‘arules’

The following objects are masked from ‘package:base’:

    abbreviate, write

Loading required package: proxy
Warning: package ‘proxy’ was built under R version 4.1.3

Attaching package: ‘proxy’

The following object is masked from ‘package:Matrix’:

    as.matrix

The following objects are masked from ‘package:stats’:

    as.dist, dist

The following object is masked from ‘package:base’:

    as.matrix

Loading required package: registry
Registered S3 methods overwritten by 'registry':
  method               from 
  print.registry_field proxy
  print.registry_entry proxy

library(ggplot2)
Warning:
library(data.table)
Warning: package ‘data.table’ was built under R version 4.1.3
Registered S3 method overwritten by 'data.table':
  method           from
  print.data.table     
data.table 1.14.2 using 4 threads (see ?getDTthreads).  Latest news: r-datatable.com
library(reshape2)
Warning: package ‘reshape2’ was built under R version 4.1.3

Attaching package: ‘reshape2’

The following objects are masked from ‘package:data.table’:

    dcast, melt

2. Retrieving the Data

We will now retrieve our data from movies.csv into movie_data dataframe and ratings.csv into rating_data. We will use the str() function to display information about the movie_data dataframe.


movie_data <- read.csv("movies.csv",stringsAsFactors=FALSE)
rating_data <- read.csv("ratings.csv")
str(movie_data)
'data.frame':   10329 obs. of  3 variables:
 $ movieId: int  1 2 3 4 5 6 7 8 9 10 ...
 $ : chr  "Toy Story (1995)" "Jumanji (1995)" "Grumpier Old Men (1995)" "Waiting to Exhale (1995)" ...
 $ genres : chr  "Adventure|Animation|Children|Comedy|Fantasy" "Adventure|Children|Fantasy" "Comedy|Romance" "Comedy|Drama|Romance"

2.1. Checking the movie_data


summary(movie_data)
    title          
 Min.   :     1   Length:10329      
 Class :character  
 Median :  7088  
 Mean   : 31924                     
 3rd Qu.: 59900                     
 Max.   :149532                         genres         
 Length:10329      
 Class :character  

                   
                   
                   
head(movie_data)

2.2. Checking the rating_data

summary(rating_data)
     userId         movieId      
 Min.   :  1.0   Min.   :     1  
 1st Qu.:192.0   1st Qu.:  1073  
 Median :383.0  
 Mean   :364.9   Mean   : 13381  
 3rd Qu.:557.0   3rd Qu.:  5991  
 Max.   :668.0   Max.   :149532  
     rating        timestamp         Min.   :0.500   Min.   :8.286e+08  
 1st Qu.:3.000   1st Qu.:9.711e+08  
 Median :3.500  
 Mean   :3.517  
 3rd Qu.:4.000   3rd Qu.:1.275e+09  
 Max.   :5.000   Max.   :1.452e+09  
head(rating_data)

3. Data Pre-processing

From the above table, we observe that the userId column, as well as the movieId column, consist of integers. Furthermore, we need to convert the genres present in the movie_data dataframe into a more usable format by the users. In order to do so, we will first create a one-hot encoding to create a matrix that comprises of corresponding genres for each of the films.

movie_genre <- as.data.frame(movie_data$genres, stringsAsFactors = FALSE)
library(data.table)

movie_genre2 <- as.data.frame(tstrsplit(movie_genre[,1], '[|]', type.convert = TRUE), stringsAsFactors = FALSE)

colnames(movie_genre2) <- c(1:10)

list_genre <- c("Action", "Adventure", "Animation", "Children", "Comedy", "Crime","Documentary", "Drama", "Fantasy", "Film-Noir", "Horror", "Musical", "Mystery","Romance", "Sci-Fi", "Thriller", "War", "Western")

genre_mat1[1,] <- list_genre
colnames(genre_mat1) <- list_genre

  for (col in 1:ncol(movie_genre2)) {
    gen_col = which(genre_mat1[1,] == movie_genre2[index, col])
    genre_mat1[index+1, gen_col] <- 1
  }
}


  genre_mat2[,col] <-  as.integer(genre_mat2[,col])
}

str(genre_mat2)
'data.frame':   10329 obs. of  18 variables:
 : int  0 0 0 0 0 1 0 0 1 1 ...
 $ : int  1 1 0 0 0 0 0 1 0 1 ...
 Animation  : int  1 0 0 0 0 0 0 0 0 0 ...
 $ Children   : int  1 1 0 0 0 0 0 1 0 0 ...
$ Comedy      int  1 0 1 1 1 0 1 0 0 0 ...
 $ Crime       int  0 0 0 0 0 1 0 0 0 0 ...
 Documentary: int  0 0 0 0 0 0 0 0 0 0 ...
 Drama      : int  0 0 0 1 0 0 0 0 0 0 ...
$ Fantasy    : int  1 1 0 0 0 0 0 0 0 0 ...
 $ Film-Noir  : int  0 0 0 0 0 0 0 0 0 0 ...
 $ Horror     : int  0 0 0 0 0 0 0 0 0 0 ...
$ Musical    : int   ... $ Mystery    : int   ... $ Romance     int  0 0 1 1 0 0 1 0 0 0 ...
 $ Sci-Fi     : int  0 0 0 0 0 0 0 0 0 0 ...
 $ Thriller   : int  0 0 0 0 0 1 0 0 0 1 ...
 $ War        : int  0 0 0 0 0 0 0 0 0 0 ...
 $ Western    : int  0 0 0 0 0 0 0 0 0 0

3.1. Creating a Search Matrix

SearchMatrix <- cbind(movie_data[,1:2], genre_mat2[])
head(SearchMatrix)

3.2. Creating a sparse matrix

ratingMatrix <- dcast(rating_data, userId~movieId, value.var = "rating", na.rm=FALSE)
ratingMatrix <- as.matrix(ratingMatrix[,-1])

ratingMatrix <- as(ratingMatrix, "realRatingMatrix")
ratingMatrix
668  10325  ‘realRatingMatrix’  105339 ratings.
recommendation_model <- recommenderRegistry$get_entries(dataType = "realRatingMatrix")
names(recommendation_model)
 [1]
 [2] "ALS_realRatingMatrix"         
 "ALS_implicit_realRatingMatrix"
 [4] "IBCF_realRatingMatrix"        
 [5] "LIBMF_realRatingMatrix"       
 [6] "POPULAR_realRatingMatrix"     
 [7] "RANDOM_realRatingMatrix"      
 [8] "RERECOMMEND_realRatingMatrix"  [9] "SVD_realRatingMatrix"         
[10] "SVDF_realRatingMatrix"        [11] "UBCF_realRatingMatrix"        
lapply(recommendation_model, "[[", "description")
$HYBRID_realRatingMatrix
[1] "Hybrid recommender that aggegates several recommendation strategies using weighted averages."
$ALS_realRatingMatrix
[1] "Recommender for explicit ratings based on latent factors, calculated by alternating least squares algorithm."

$ALS_implicit_realRatingMatrix
[1] "Recommender for implicit data based on latent factors, calculated by alternating least squares algorithm."

$IBCF_realRatingMatrix
[1] "Recommender based on item-based collaborative filtering."

$LIBMF_realRatingMatrix
[1] "Matrix factorization with LIBMF via package recosystem (https://cran.r-project.org/web/packages/recosystem/vignettes/introduction.html)."
$POPULAR_realRatingMatrix
[1]

$RANDOM_realRatingMatrix
[1]

$RERECOMMEND_realRatingMatrix
[1] "Re-recommends highly rated items (real ratings)."

$SVD_realRatingMatrix
 "Recommender based on SVD approximation with column-mean imputation."
$SVDF_realRatingMatrix
[1] "Recommender based on Funk SVD with gradient descend (https://sifter.org/~simon/journal/20061211.html)."
$UBCF_realRatingMatrix
[1] "Recommender based on user-based collaborative filtering."
recommendation_model$IBCF_realRatingMatrix$parameters
$k
 30

$method
[1] "Cosine"

$normalize
 "center"

$normalize_sim_matrix
[1] FALSE

$alpha
[1] 0.5

$na_as_zero
[1] FALSE

4. Exploring Similar Data

Collaborative Filtering involves suggesting movies to the users that are based on collecting preferences from many other users. For example, if a user A likes to watch action films and so does user B, then the movies that the user B will watch in the future will be recommended to A and vice-versa. Therefore, recommending movies is dependent on creating a relationship of similarity between the two users. With the help of recommenderlab, we can compute similarities using various operators like cosine, pearson as well as jaccard.

similarity_mat <- similarity(ratingMatrix[1:4, ], method = "cosine", which = "users")
as.matrix(similarity_mat)
          1         2         4
1 0.0000000 0.9760860 0.9914398
2 0.9760860 0.0000000 0.9925732 0.9374253 0.9641723 0.9925732 0.0000000 0.9888968
4 0.9914398 0.9374253 0.9888968
image(as.matrix(similarity_mat), main = "User's Similarities")

In the above matrix, each row and column represents a user. We have taken four users and each cell in this matrix represents the similarity that is shared between the two users.

Now, we delineate the similarity that is shared between the films:

movie_similarity <- similarity(ratingMatrix[, 1:4], method = "cosine", which = "items")
as.matrix(movie_similarity)
          2         4
1 0.9669732 0.9559341
2 0.9669732 0.0000000 0.9658757 0.9412416
3 0.9559341 0.9658757 0.0000000 0.9864877
4 0.9101276 0.9412416 0.9864877 0.0000000
image(as.matrix(movie_similarity), main = "Movies similarity")

4.1. Extracting the unique ratings

rating_values <- as.vector(ratingMatrix@data)
unique(rating_values)
 [1] 0.0 5.0 3.0 4.5 2.0 3.5 2.5 0.5

4.2. Table with most unique ratings

Table_of_Ratings <- table(rating_values)
Table_of_Ratings
rating_values
      0     0.5       1     1.5       2     2.5 
6791761    1198    1567    7943 
      3     3.5       4     4.5       5 
  21729   12237   28880    8187   14856 

5. Most viewed movies visualization

library(ggplot2)
movie_views <- colCounts(ratingMatrix)
table_views <- data.frame(movie = names(movie_views), views = movie_views)

table_views$title <- NA

  table_views[index, 3] <- as.character(subset(movie_data, movie_data$movieId == table_views[index, 1])$title)
}
table_views[1:6,]

5.1. Visualize a bar plot for the total number of views of the top films

ggplot(table_views[1:6, ], aes(x = title, y = views)) +
  geom_bar(stat="identity", fill = 'steelblue') +
  geom_text(aes(label=views), vjust=-0.3, size=3.5) +
  theme(axis.text.x = element_text(angle = 45, hjust = 1)) +

  ggtitle("Total Views of the Top Films")

6. Heatmap of Movie Ratings

image(ratingMatrix[1:20, 1:25], axes = FALSE, main = "Heatmap of the first 25 rows and 25 columns")

7. Performing Data Preparation

7.1. Selecting the useful data

For finding useful data in our dataset, we have set the threshold for the minimum number of users who have rated a film as 50. This is also same for minimum number of views that are per film. This way, we have filtered a list of watched films from least-watched ones.

movie_ratings <- ratingMatrix[rowCounts(ratingMatrix) > 50, colCounts(ratingMatrix) > 50]

movie_ratings
420 x 447 rating matrix of class ‘realRatingMatrix’  38341 ratings.

From the above output of ‘movie_ratings’, we observe that there are 420 users and 447 films as opposed to the previous 668 users and 10325 films. We can now delineate our matrix of relevant users as follows:

minimum_movies<- quantile(rowCounts(movie_ratings), 0.98)
minimum_users <- quantile(colCounts(movie_ratings), 0.98)
image(movie_ratings[rowCounts(movie_ratings) > minimum_movies,
                     colCounts(movie_ratings) > minimum_users],
main = "Heatmap of the top users and movies")

Now, we will visualize the distribution of the average ratings per user.

average_ratings <- rowMeans(movie_ratings)
qplot(average_ratings, fill=I("steelblue"), col=I("red")) +
  ggtitle("Distribution of the average rating per user")
`stat_bin()` using `bins = 30`. Pick better
value with `binwidth`.

7.2. Data Normalization

Normalization is a data preparation procedure to standardize the numerical values in a column to a common scale value. This is done in such a way that there is no distortion in the range of values. Normalization transforms the average value of our ratings column to 0. We then plot a heatmap that delineates our normalized ratings.

normalized_ratings <- normalize(movie_ratings)
sum(rowMeans(normalized_ratings) > 0.0001)
[1]
image(normalized_ratings[rowCounts(normalized_ratings) > minimum_movies, colCounts(normalized_ratings) > minimum_users], main = "Normalized Ratings of the Top Users")

7.3. Data Binarization

Binarizing the data means that we have two discrete values 1 and 0, which will allow our recommendation systems to work more efficiently. We will define a matrix that will consist of 1 if the rating is above 3 and otherwise it will be 0.

binary_minimum_movies <- quantile(rowCounts(movie_ratings), 0.95)
binary_minimum_users <- quantile(colCounts(movie_ratings), 0.95)
#movies_watched <- binarize(movie_ratings, minRating = 1)

good_rated_films <- binarize(movie_ratings, minRating = 3)
image(good_rated_films[rowCounts(movie_ratings) > binary_minimum_movies,
colCounts(movie_ratings) > binary_minimum_users],
main = "Heatmap of the top users and movies")

8. Collaborative Filtering System

The collaborative filtering finds similarity in the items based on the people’s ratings of them. The algorithm first builds a similar-items table of the customers who have purchased them into a combination of similar items. This is then fed into the recommendation system.

sampled_data<- sample(x = c(TRUE, FALSE),
                      size = nrow(movie_ratings),
                      replace = TRUE,
                      prob = c(0.8, 0.2))
training_data <- movie_ratings[sampled_data, ]
testing_data <- movie_ratings[!sampled_data, ]

9. Building the Recommendation System

We will now explore the various parameters of our Item Based Collaborative Filter. These parameters are default in nature. In the first step, k denotes the number of items for computing their similarities. Here, k is equal to 30. Therefore, the algorithm will now identify the k most similar items and store their number. We use the cosine method which is the default one but you can also use pearson method.

recommendation_system <- recommenderRegistry$get_entries(dataType ="realRatingMatrix")
recommendation_system$IBCF_realRatingMatrix$parameters
$k
[1] 30
$method
[1] "Cosine"

$normalize
[1] "center"

$normalize_sim_matrix
[1] FALSE

$alpha
[1] 0.5

$na_as_zero
[1] FALSE
recommen_model <- Recommender(data = training_data,
                          method = "IBCF",
                          parameter = list(k = 30))
recommen_model
Recommender of type ‘IBCF’ for ‘realRatingMatrix’ 
learned using 355 users.
class(recommen_model)
[1]
attr(,"package")
[1] "recommenderlab"
model_info <- getModel(recommen_model)
class(model_info$sim)
[1] "dgCMatrix"
attr(,"package")[1] "Matrix"
dim(model_info$sim)
[1] 447 447
top_items <- 20
image(model_info$sim[1:top_items, 1:top_items],

sum_rows <- rowSums(model_info$sim > 0)
table(sum_rows)
sum_rows
 30 
sum_cols <- colSums(model_info$sim > 0)
qplot(sum_cols, fill=I("steelblue"), col=I("red"))+ ggtitle("Distribution of the column count")
`stat_bin()` using `bins = 30`. Pick better
value with `binwidth`.

10. Recommender System on the dataset

We will create a top_recommendations variable which will be initialized to 10, specifying the number of films to each user. We will then use the predict() function that will identify similar items and will rank them appropriately. Here, each rating is used as a weight. Each weight is multiplied with related similarities. Finally, everything is added in the end.

top_recommendations <- 10 # the number of items to recommend to each user
predicted_recommendations <- predict(object = recommen_model,
                          newdata = testing_data,
                          n = top_recommendations)
predicted_recommendations
Recommendations as ‘topNList’ with n = 10  65 users. 
user1 <- predicted_recommendations@items[[1]] # recommendation for the first user
movies_user1 <- predicted_recommendations@itemLabels[user1]
movies_user2 <- movies_user1
for (index in 1:10){
  movies_user2[index] <- as.character(subset(movie_data,
                                         movie_data$movieId == movies_user1[index])$title)
}
movies_user2
 [1] "Sabrina (1995)"                    
 [2] "Get Shorty (1995)"                  [3] "Clueless (1995)"                   
 "Congo (1995)"                      
 [5] "Net, The (1995)"                   
 [6] "Little Women (1994)"               
 [7] "Quiz Show (1994)"                  
 [8] "Santa Clause, The (1994)"          
 "Four Weddings and a Funeral (1994)"
[10]
recommendation_matrix <- sapply(predicted_recommendations@items,
                      function(x){ as.integer(colnames(movie_ratings)[x]) }) # matrix with the recommendations for each user
#dim(recc_matrix)
recommendation_matrix[,1:4]
        0   1   2     3
 [1,]   7   6   3  1704
 [2,]  17  39  2355
 [3,]  39  62  50  1674
 [4,] 160 223 104  1343
 [5,] 185 235 110 48516
 [6,] 261 158
 [7,] 300 527 165  1968
 [8,] 317 541 293   110
 [9,] 357 551 318  7147
[10,] 364 593 350  2011
---
title: "Movie Recommendation System"
author: "Aviparna Biswas"
date: "28-05-2022"
output: html_notebook
---

### 0. Dataset

In order to build our recommendation system, we have used the MovieLens Dataset. It consists of two files movies.csv and ratings.csv. This data consists of 105339 ratings applied over 10329 movies.

### 1. Importing Essential Libraries

```{r}

library(recommenderlab)

```

```{r}
library(ggplot2)
library(data.table)
library(reshape2)
```

### 2. Retrieving the Data

We will now retrieve our data from movies.csv into movie_data dataframe and ratings.csv into rating_data. We will use the str() function to display information about the movie_data dataframe.

```{r}
movie_data <- read.csv("movies.csv",stringsAsFactors=FALSE)
rating_data <- read.csv("ratings.csv")
str(movie_data)
```

#### 2.1. Checking the movie_data
```{r}
summary(movie_data)
```
```{r}
head(movie_data)
```
#### 2.2. Checking the rating_data
```{r}
summary(rating_data)
```
```{r}
head(rating_data)
```
### 3. Data Pre-processing
From the above table, we observe that the userId column, as well as the movieId column, consist of integers. Furthermore, we need to convert the genres present in the movie_data dataframe into a more usable format by the users. In order to do so, we will first create a one-hot encoding to create a matrix that comprises of corresponding genres for each of the films.

```{r}
movie_genre <- as.data.frame(movie_data$genres, stringsAsFactors = FALSE)
library(data.table)

movie_genre2 <- as.data.frame(tstrsplit(movie_genre[,1], '[|]', type.convert = TRUE), stringsAsFactors = FALSE)

colnames(movie_genre2) <- c(1:10)

list_genre <- c("Action", "Adventure", "Animation", "Children", "Comedy", "Crime","Documentary", "Drama", "Fantasy", "Film-Noir", "Horror", "Musical", "Mystery","Romance", "Sci-Fi", "Thriller", "War", "Western")

genre_mat1 <- matrix(0, 10330, 18)
genre_mat1[1,] <- list_genre
colnames(genre_mat1) <- list_genre

for (index in 1:nrow(movie_genre2)) {
  for (col in 1:ncol(movie_genre2)) {
    gen_col = which(genre_mat1[1,] == movie_genre2[index, col])
    genre_mat1[index+1, gen_col] <- 1
  }
}

genre_mat2 <- as.data.frame(genre_mat1[-1,], stringsAsFactors = FALSE)

for (col in 1:ncol(genre_mat2)) {
  genre_mat2[,col] <-  as.integer(genre_mat2[,col])
}

str(genre_mat2)
```
#### 3.1. Creating a Search Matrix 
```{r}
SearchMatrix <- cbind(movie_data[,1:2], genre_mat2[])
head(SearchMatrix)
```
#### 3.2. Creating a sparse matrix
```{r}
ratingMatrix <- dcast(rating_data, userId~movieId, value.var = "rating", na.rm=FALSE)
ratingMatrix <- as.matrix(ratingMatrix[,-1])

ratingMatrix <- as(ratingMatrix, "realRatingMatrix")
ratingMatrix
```

```{r}
recommendation_model <- recommenderRegistry$get_entries(dataType = "realRatingMatrix")
names(recommendation_model)
```
```{r}
lapply(recommendation_model, "[[", "description")
```
```{r}
recommendation_model$IBCF_realRatingMatrix$parameters
```
### 4. Exploring Similar Data
Collaborative Filtering involves suggesting movies to the users that are based on collecting preferences from many other users. For example, if a user A likes to watch action films and so does user B, then the movies that the user B will watch in the future will be recommended to A and vice-versa. Therefore, recommending movies is dependent on creating a relationship of similarity between the two users. With the help of recommenderlab, we can compute similarities using various operators like cosine, pearson as well as jaccard.
```{r}
similarity_mat <- similarity(ratingMatrix[1:4, ], method = "cosine", which = "users")
as.matrix(similarity_mat)

image(as.matrix(similarity_mat), main = "User's Similarities")
```
In the above matrix, each row and column represents a user. We have taken four users and each cell in this matrix represents the similarity that is shared between the two users.

Now, we delineate the similarity that is shared between the films:

```{r}
movie_similarity <- similarity(ratingMatrix[, 1:4], method = "cosine", which = "items")
as.matrix(movie_similarity)

image(as.matrix(movie_similarity), main = "Movies similarity")
```
#### 4.1. Extracting the unique ratings
```{r}
rating_values <- as.vector(ratingMatrix@data)
unique(rating_values)
```
#### 4.2. Table with most unique ratings
```{r}
Table_of_Ratings <- table(rating_values)
Table_of_Ratings
```
### 5. Most viewed movies visualization
```{r}
library(ggplot2)
movie_views <- colCounts(ratingMatrix)
table_views <- data.frame(movie = names(movie_views), views = movie_views)

table_views <- table_views[order(table_views$views, decreasing = TRUE), ]
table_views$title <- NA

for (index in 1:10325) {
  table_views[index, 3] <- as.character(subset(movie_data, movie_data$movieId == table_views[index, 1])$title)
}
table_views[1:6,]
```
#### 5.1. Visualize a bar plot for the total number of views of the top films
```{r}
ggplot(table_views[1:6, ], aes(x = title, y = views)) +
  geom_bar(stat="identity", fill = 'steelblue') +
  geom_text(aes(label=views), vjust=-0.3, size=3.5) +
  theme(axis.text.x = element_text(angle = 45, hjust = 1)) +

  ggtitle("Total Views of the Top Films")
```
### 6. Heatmap of Movie Ratings
```{r}
image(ratingMatrix[1:20, 1:25], axes = FALSE, main = "Heatmap of the first 25 rows and 25 columns")
```
### 7. Performing Data Preparation

#### 7.1. Selecting the useful data
For finding useful data in our dataset, we have set the threshold for the minimum number of users who have rated a film as 50. This is also same for minimum number of views that are per film. This way, we have filtered a list of watched films from least-watched ones.
```{r}
movie_ratings <- ratingMatrix[rowCounts(ratingMatrix) > 50, colCounts(ratingMatrix) > 50]

movie_ratings
```
From the above output of ‘movie_ratings’, we observe that there are 420 users and 447 films as opposed to the previous 668 users and 10325 films. We can now delineate our matrix of relevant users as follows:
```{r}
minimum_movies<- quantile(rowCounts(movie_ratings), 0.98)
minimum_users <- quantile(colCounts(movie_ratings), 0.98)
image(movie_ratings[rowCounts(movie_ratings) > minimum_movies,
                     colCounts(movie_ratings) > minimum_users],
main = "Heatmap of the top users and movies")
```
Now, we will visualize the distribution of the average ratings per user.
```{r}
average_ratings <- rowMeans(movie_ratings)
qplot(average_ratings, fill=I("steelblue"), col=I("red")) +
  ggtitle("Distribution of the average rating per user")
```
#### 7.2. Data Normalization
Normalization is a data preparation procedure to standardize the numerical values in a column to a common scale value. This is done in such a way that there is no distortion in the range of values. Normalization transforms the average value of our ratings column to 0. We then plot a heatmap that delineates our normalized ratings.
```{r}
normalized_ratings <- normalize(movie_ratings)
sum(rowMeans(normalized_ratings) > 0.0001)

image(normalized_ratings[rowCounts(normalized_ratings) > minimum_movies, colCounts(normalized_ratings) > minimum_users], main = "Normalized Ratings of the Top Users")
```
#### 7.3. Data Binarization
Binarizing the data means that we have two discrete values 1 and 0, which will allow our recommendation systems to work more efficiently. We will define a matrix that will consist of 1 if the rating is above 3 and otherwise it will be 0.
```{r}
binary_minimum_movies <- quantile(rowCounts(movie_ratings), 0.95)
binary_minimum_users <- quantile(colCounts(movie_ratings), 0.95)
#movies_watched <- binarize(movie_ratings, minRating = 1)

good_rated_films <- binarize(movie_ratings, minRating = 3)
image(good_rated_films[rowCounts(movie_ratings) > binary_minimum_movies,
colCounts(movie_ratings) > binary_minimum_users],
main = "Heatmap of the top users and movies")
```
### 8. Collaborative Filtering System
The collaborative filtering finds similarity in the items based on the people’s ratings of them. The algorithm first builds a similar-items table of the customers who have purchased them into a combination of similar items. This is then fed into the recommendation system.
```{r}
sampled_data<- sample(x = c(TRUE, FALSE),
                      size = nrow(movie_ratings),
                      replace = TRUE,
                      prob = c(0.8, 0.2))
training_data <- movie_ratings[sampled_data, ]
testing_data <- movie_ratings[!sampled_data, ]
```
### 9. Building the Recommendation System
We will now explore the various parameters of our Item Based Collaborative Filter. These parameters are default in nature. In the first step, k denotes the number of items for computing their similarities. Here, k is equal to 30. Therefore, the algorithm will now identify the k most similar items and store their number. We use the cosine method which is the default one but you can also use pearson method.
```{r}
recommendation_system <- recommenderRegistry$get_entries(dataType ="realRatingMatrix")
recommendation_system$IBCF_realRatingMatrix$parameters
```
```{r}
recommen_model <- Recommender(data = training_data,
                          method = "IBCF",
                          parameter = list(k = 30))
recommen_model
class(recommen_model)
```
```{r}
model_info <- getModel(recommen_model)
class(model_info$sim)
dim(model_info$sim)
top_items <- 20
image(model_info$sim[1:top_items, 1:top_items],
   main = "Heatmap of the first rows and columns")
```
```{r}
sum_rows <- rowSums(model_info$sim > 0)
table(sum_rows)

sum_cols <- colSums(model_info$sim > 0)
qplot(sum_cols, fill=I("steelblue"), col=I("red"))+ ggtitle("Distribution of the column count")
```
### 10. Recommender System on the dataset
We will create a top_recommendations variable which will be initialized to 10, specifying the number of films to each user. We will then use the predict() function that will identify similar items and will rank them appropriately. Here, each rating is used as a weight. Each weight is multiplied with related similarities. Finally, everything is added in the end.
```{r}
top_recommendations <- 10 # the number of items to recommend to each user
predicted_recommendations <- predict(object = recommen_model,
                          newdata = testing_data,
                          n = top_recommendations)
predicted_recommendations
```
```{r}
user1 <- predicted_recommendations@items[[1]] # recommendation for the first user
movies_user1 <- predicted_recommendations@itemLabels[user1]
movies_user2 <- movies_user1
for (index in 1:10){
  movies_user2[index] <- as.character(subset(movie_data,
                                         movie_data$movieId == movies_user1[index])$title)
}
movies_user2
```
```{r}
recommendation_matrix <- sapply(predicted_recommendations@items,
                      function(x){ as.integer(colnames(movie_ratings)[x]) }) # matrix with the recommendations for each user
#dim(recc_matrix)
recommendation_matrix[,1:4]
```

