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library(ggplot2)
library(ComplexUpset)

Prepare the datasets

movies = as.data.frame(ggplot2movies::movies)
head(movies, 3)
A data.frame: 3 × 24
title year length budget rating votes r1 r2 r3 r4 ⋯ r9 r10 mpaa Action Animation Comedy Drama Documentary Romance Short
<chr> <int> <int> <int> <dbl> <int> <dbl> <dbl> <dbl> <dbl> ⋯ <dbl> <dbl> <chr> <int> <int> <int> <int> <int> <int> <int>
1 $ 1971 121 NA 6.4 348 4.5 4.5 4.5 4.5 ⋯ 4.5 4.5 0 0 1 1 0 0 0
2 $1000 a Touchdown 1939 71 NA 6.0 20 0.0 14.5 4.5 24.5 ⋯ 4.5 14.5 0 0 1 0 0 0 0
3 $21 a Day Once a Month 1941 7 NA 8.2 5 0.0 0.0 0.0 0.0 ⋯ 24.5 24.5 0 1 0 0 0 0 1 
genres = colnames(movies)[18:24]
genres
  1. ‘Action’
  2. ‘Animation’
  3. ‘Comedy’
  4. ‘Drama’
  5. ‘Documentary’
  6. ‘Romance’
  7. ‘Short’

Convert the genre indicator columns to use boolean values:

movies[genres] = movies[genres] == 1
t(head(movies[genres], 3))
A matrix: 7 × 3 of type lgl
1 2 3
Action FALSE FALSE FALSE
Animation FALSE FALSE TRUE
Comedy TRUE TRUE FALSE
Drama TRUE FALSE FALSE
Documentary FALSE FALSE FALSE
Romance FALSE FALSE FALSE
Short FALSE FALSE TRUE

To keep the examples fast to compile we will operate on a subset of the movies with complete data:

movies[movies$mpaa == '', 'mpaa'] = NA
movies = na.omit(movies)

Utility for changing output parameters in Jupyter notebooks (IRKernel kernel), not relevant if using RStudio or scripting R from terminal:

set_size = function(w, h, factor=1.5) {
    s = 1 * factor
    options(
        repr.plot.width=w * s,
        repr.plot.height=h * s,
        repr.plot.res=100 / factor,
        jupyter.plot_mimetypes='image/png',
        jupyter.plot_scale=1
    )
}

0. Basic usage

There are two required arguments:

Additional arguments can be provided, such as name (specifies xlab() for intersection matrix) or width_ratio (specifies how much space should be occupied by the set size panel). Other such arguments are discussed at length later in this document.

set_size(8, 3)
upset(movies, genres, name='genre', width_ratio=0.1)

0.1 Selecting intersections

We will focus on the intersections with at least ten members (min_size=10) and on a few variables which are significantly different between the intersections (see 2. Running statistical tests).

When using min_size, the empty groups will be skipped by default (e.g. Short movies would have no overlap with size of 10). To keep all groups pass keep_empty_groups=TRUE:

set_size(8, 3)
(
    upset(movies, genres, name='genre', width_ratio=0.1, min_size=10, wrap=TRUE, set_sizes=FALSE)
    + ggtitle('Without empty groups (Short dropped)')
    +    # adding plots is possible thanks to patchwork
    upset(movies, genres, name='genre', width_ratio=0.1, min_size=10, keep_empty_groups=TRUE, wrap=TRUE, set_sizes=FALSE)
    + ggtitle('With empty groups')
)

When empty columns are detected a warning will be issued. The silence it, pass warn_when_dropping_groups=FALSE. Complimentary max_size can be used in tandem.

You can also select intersections by degree (min_degree and max_degree):

set_size(8, 3)
upset(
    movies, genres, width_ratio=0.1,
    min_degree=3,
)

Or request a constant number of intersections with n_intersections:

set_size(8, 3)
upset(
    movies, genres, width_ratio=0.1,
    n_intersections=15
)

0.2 Region selection modes

There are four modes defining the regions of interest on corresponding Venn diagram:

  • exclusive_intersection region: intersection elements that belong to the sets defining the intersection but not to any other set (alias: distinct), default
  • inclusive_intersection region: intersection elements that belong to the sets defining the intersection including overlaps with other sets (alias: intersect)
  • exclusive_union region: union elements that belong to the sets defining the union, excluding those overlapping with any other set
  • inclusive_union region: union elements that belong to the sets defining the union, including those overlapping with any other set (alias: union)

Example: given three sets \(A\), \(B\) and \(C\) with number of elements defined by the Venn diagram below

abc_data = create_upset_abc_example()

abc_venn = (
    ggplot(arrange_venn(abc_data))
    + coord_fixed()
    + theme_void()
    + scale_color_venn_mix(abc_data)
)

(
    abc_venn
    + geom_venn_region(data=abc_data, alpha=0.05)
    + geom_point(aes(x=x, y=y, color=region), size=1)
    + geom_venn_circle(abc_data)
    + geom_venn_label_set(abc_data, aes(label=region))
    + geom_venn_label_region(
        abc_data, aes(label=size),
        outwards_adjust=1.75,
        position=position_nudge(y=0.2)
    )
    + scale_fill_venn_mix(abc_data, guide='none')
)

For the above sets \(A\) and \(B\) the region selection modes correspond to region of Venn diagram defined as follows:

  • exclusive intersection: \((A \cap B) \setminus C\)
  • inclusive intersection: \(A \cap B\)
  • exclusive union: \((A \cup B) \setminus C\)
  • inclusive union: \(A \cup B\)

and have the total number of elements as in the table below:

members  mode exclusive int. inclusive int. exclusive union inclusive union
(A, B) 10 11 110 123
(A, C) == (B, C) 6 7 256 273
(A) == (B) 50 67 50 67
(C) 200 213 200 213
(A, B, C) 1 1 323 323
() 2 2 2 2 
set_size(6, 6.5)
simple_venn = (
    abc_venn
    + geom_venn_region(data=abc_data, alpha=0.3)
    + geom_point(aes(x=x, y=y), size=0.75, alpha=0.3)
    + geom_venn_circle(abc_data)
    + geom_venn_label_set(abc_data, aes(label=region), outwards_adjust=2.55)
)
highlight = function(regions) scale_fill_venn_mix(
    abc_data, guide='none', highlight=regions, inactive_color='NA'
)

(
    (
        simple_venn + highlight(c('A-B')) + labs(title='Exclusive intersection of A and B')
        | simple_venn + highlight(c('A-B', 'A-B-C')) + labs(title='Inclusive intersection of A and B')
    ) /
    (
        simple_venn + highlight(c('A-B', 'A', 'B')) + labs(title='Exclusive union of A and B')
        | simple_venn + highlight(c('A-B', 'A-B-C', 'A', 'B', 'A-C', 'B-C')) + labs(title='Inclusive union of A and B')
    )
)

When customizing the intersection_size() it is important to adjust the mode accordingly, as it defaults to exclusive_intersection and cannot be automatically deduced when user customizations are being applied:

set_size(8, 4.5)
abc_upset = function(mode) upset(
    abc_data, c('A', 'B', 'C'), mode=mode, set_sizes=FALSE,
    encode_sets=FALSE,
    queries=list(upset_query(intersect=c('A', 'B'), color='orange')),
    base_annotations=list(
        'Size'=(
            intersection_size(
                mode=mode,
                mapping=aes(fill=exclusive_intersection),
                size=0,
                text=list(check_overlap=TRUE)
            ) + scale_fill_venn_mix(
                data=abc_data,
                guide='none',
                colors=c('A'='red', 'B'='blue', 'C'='green3')
            )
        )
    )
)

(
    (abc_upset('exclusive_intersection') | abc_upset('inclusive_intersection'))
    /
    (abc_upset('exclusive_union') | abc_upset('inclusive_union'))
)

0.3 Displaying all intersections

To display all possible intersections (rather than only the observed ones) use intersections='all'.

Note 1: it is usually desired to filter all the possible intersections down with max_degree and/or min_degree to avoid generating all combinations as those can easily use up all available RAM memory when dealing with multiple sets (e.g. all human genes) due to sheer number of possible combinations

Note 2: using intersections='all' is only reasonable for mode different from the default exclusive intersection.

set_size(8, 3)
upset(
    movies, genres,
    width_ratio=0.1,
    min_size=10,
    mode='inclusive_union',
    base_annotations=list('Size'=(intersection_size(counts=FALSE, mode='inclusive_union'))),
    intersections='all',
    max_degree=3
)

1. Adding components

We can add multiple annotation components (also called panels) using one of the three methods demonstrated below:

set_size(8, 8)

set.seed(0)   # keep the same jitter for identical plots

upset(
    movies,
    genres,
    annotations = list(
        # 1st method - passing list:
        'Length'=list(
            aes=aes(x=intersection, y=length),
            # provide a list if you wish to add several geoms
            geom=geom_boxplot(na.rm=TRUE)
        ),
        # 2nd method - using ggplot
        'Rating'=(
            # note that aes(x=intersection) is supplied by default and can be skipped
            ggplot(mapping=aes(y=rating))
            # checkout ggbeeswarm::geom_quasirandom for better results!
            + geom_jitter(aes(color=log10(votes)), na.rm=TRUE)
            + geom_violin(alpha=0.5, na.rm=TRUE)
        ),
        # 3rd method - using `upset_annotate` shorthand
        'Budget'=upset_annotate('budget', geom_boxplot(na.rm=TRUE))
    ),
    min_size=10,
    width_ratio=0.1
)

You can also use barplots to demonstrate differences in proportions of categorical variables:

set_size(8, 5)

upset(
    movies,
    genres,
    annotations = list(
        'MPAA Rating'=(
            ggplot(mapping=aes(fill=mpaa))
            + geom_bar(stat='count', position='fill')
            + scale_y_continuous(labels=scales::percent_format())
            + scale_fill_manual(values=c(
                'R'='#E41A1C', 'PG'='#377EB8',
                'PG-13'='#4DAF4A', 'NC-17'='#FF7F00'
            ))
            + ylab('MPAA Rating')
        )
    ),
    width_ratio=0.1
)

1.1. Changing modes in annotations

Use upset_mode to change the mode of the annotation:

set_size(8, 8)
set.seed(0)
upset(
    movies,
    genres,
    mode='inclusive_intersection',
    annotations = list(
        # if not specified, the mode will follow the mode set in `upset()` call (here: `inclusive_intersection`)
        'Length (inclusive intersection)'=(
            ggplot(mapping=aes(y=length))
            + geom_jitter(alpha=0.2, na.rm=TRUE)
        ),
        'Length (exclusive intersection)'=(
            ggplot(mapping=aes(y=length))
            + geom_jitter(alpha=0.2, na.rm=TRUE)
            + upset_mode('exclusive_intersection')
        ),
        'Length (inclusive union)'=(
            ggplot(mapping=aes(y=length))
            + geom_jitter(alpha=0.2, na.rm=TRUE)
            + upset_mode('inclusive_union')
        )
    ),
    min_size=10,
    width_ratio=0.1
)

2. Running statistical tests

upset_test(movies, genres)
[1] "year, length, budget, rating, votes, r1, r2, r3, r4, r5, r6, r7, r8, r9, r10, mpaa differ significantly between intersections"
A data.frame: 17 × 5
variable p.value statistic test fdr
<chr> <dbl> <dbl> <chr> <dbl>
length length 6.511525e-71 422.88444 Kruskal-Wallis rank sum test 1.106959e-69
rating rating 1.209027e-46 301.72764 Kruskal-Wallis rank sum test 1.027673e-45
budget budget 3.899860e-44 288.97476 Kruskal-Wallis rank sum test 2.209921e-43
r8 r8 9.900004e-39 261.28815 Kruskal-Wallis rank sum test 4.207502e-38
mpaa mpaa 3.732200e-35 242.77939 Kruskal-Wallis rank sum test 1.268948e-34
r9 r9 1.433256e-30 218.78160 Kruskal-Wallis rank sum test 4.060891e-30
r1 r1 2.211600e-23 180.32740 Kruskal-Wallis rank sum test 5.371029e-23
r4 r4 1.008119e-18 154.62772 Kruskal-Wallis rank sum test 2.142254e-18
r3 r3 2.568227e-17 146.70217 Kruskal-Wallis rank sum test 4.851095e-17
r5 r5 9.823827e-16 137.66310 Kruskal-Wallis rank sum test 1.670051e-15
r7 r7 9.201549e-14 126.19243 Kruskal-Wallis rank sum test 1.422058e-13
r2 r2 2.159955e-13 124.00604 Kruskal-Wallis rank sum test 3.059936e-13
r10 r10 1.283470e-11 113.38113 Kruskal-Wallis rank sum test 1.678384e-11
votes votes 2.209085e-10 105.79588 Kruskal-Wallis rank sum test 2.682460e-10
r6 r6 3.779129e-05 70.80971 Kruskal-Wallis rank sum test 4.283013e-05
year year 2.745818e-02 46.55972 Kruskal-Wallis rank sum test 2.917431e-02
title title 2.600003e-01 34.53375 Kruskal-Wallis rank sum test 2.600003e-01

Kruskal-Wallis rank sum test is not always the best choice.

You can either change the test for:

The tests are called with (formula=variable ~ intersection, data) signature, such as accepted by kruskal.test. The result is expected to be a list with following members:

It is easy to adapt tests which do not obey this signature/output convention; for example the Chi-squared test and anova can be wrapped with two-line functions as follows:

chisq_from_formula = function(formula, data) {
    chisq.test(
        ftable(formula, data)
    )
}

anova_single = function(formula, data) {
    result = summary(aov(formula, data))
    list(
        p.value=result[[1]][['Pr(>F)']][[1]],
        method='Analysis of variance Pr(>F)',
        statistic=result[[1]][['F value']][[1]]
    )
}

custom_tests = list(
    mpaa=chisq_from_formula,
    budget=anova_single
)
head(upset_test(movies, genres, tests=custom_tests))
Warning message in chisq.test(ftable(formula, data)):
“Chi-squared approximation may be incorrect”


[1] "year, length, budget, rating, votes, r1, r2, r3, r4, r5, r6, r7, r8, r9, r10, mpaa differ significantly between intersections"
A data.frame: 6 × 5
variable p.value statistic test fdr
<chr> <dbl> <dbl> <chr> <dbl>
length length 6.511525e-71 422.88444 Kruskal-Wallis rank sum test 1.106959e-69
budget budget 1.348209e-60 13.66395 Analysis of variance Pr(>F) 1.145977e-59
rating rating 1.209027e-46 301.72764 Kruskal-Wallis rank sum test 6.851151e-46
mpaa mpaa 9.799097e-42 406.33814 Pearson’s Chi-squared test 4.164616e-41
r8 r8 9.900004e-39 261.28815 Kruskal-Wallis rank sum test 3.366002e-38
r9 r9 1.433256e-30 218.78160 Kruskal-Wallis rank sum test 4.060891e-30

Many tests will require at least two observations in each group. You can skip intersections with less than two members with min_size=2.

bartlett_results = suppressWarnings(upset_test(movies, genres, test=bartlett.test, min_size=2))
tail(bartlett_results)
[1] "NA, year, length, budget, rating, votes, r1, r2, r3, r4, r5, r6, r7, r8, r9, r10, NA differ significantly between intersections"
A data.frame: 6 × 5
variable p.value statistic test fdr
<chr> <dbl> <dbl> <chr> <dbl>
year year 1.041955e-67 386.53699 Bartlett test of homogeneity of variances 1.302444e-67
length length 3.982729e-67 383.70148 Bartlett test of homogeneity of variances 4.595457e-67
budget budget 7.637563e-50 298.89911 Bartlett test of homogeneity of variances 8.183103e-50
rating rating 3.980194e-06 66.63277 Bartlett test of homogeneity of variances 3.980194e-06
title title NA NA Bartlett test of homogeneity of variances NA
mpaa mpaa NA NA Bartlett test of homogeneity of variances NA

2.1 Ignore specific variables

You may want to exclude variables which are:

  • highly correlated and therefore interfering with the FDR calculation, or
  • simply irrelevant

In the movies example, the title variable is not a reasonable thing to compare. We can ignore it using:

# note: title no longer present
rownames(upset_test(movies, genres, ignore=c('title')))
[1] "year, length, budget, rating, votes, r1, r2, r3, r4, r5, r6, r7, r8, r9, r10, mpaa differ significantly between intersections"
  1. ‘length’
  2. ‘rating’
  3. ‘budget’
  4. ‘r8’
  5. ‘mpaa’
  6. ‘r9’
  7. ‘r1’
  8. ‘r4’
  9. ‘r3’
  10. ‘r5’
  11. ‘r7’
  12. ‘r2’
  13. ‘r10’
  14. ‘votes’
  15. ‘r6’
  16. ‘year’

3. Adjusting “Intersection size”

3.1 Counts

The counts over the bars can be disabled:

set_size(8, 3)

upset(
    movies,
    genres,
    base_annotations=list(
        'Intersection size'=intersection_size(counts=FALSE)
    ),
    min_size=10,
    width_ratio=0.1
)

The colors can be changed, and additional annotations added:

set_size(8, 3)

upset(
    movies,
    genres,
    base_annotations=list(
        'Intersection size'=intersection_size(
            text_colors=c(
                on_background='brown', on_bar='yellow'
            )
        )
        + annotate(
            geom='text', x=Inf, y=Inf,
            label=paste('Total:', nrow(movies)),
            vjust=1, hjust=1
        )
        + ylab('Intersection size')
    ),
    min_size=10,
    width_ratio=0.1
)

Any parameter supported by geom_text can be passed in text list:

set_size(8, 3)

upset(
    movies,
    genres,
    base_annotations=list(
        'Intersection size'=intersection_size(
            text=list(
                vjust=-0.1,
                hjust=-0.1,
                angle=45
            )
        )
    ),
    min_size=10,
    width_ratio=0.1
)

3.2 Fill the bars

set_size(8, 3)

upset(
    movies,
    genres,
    base_annotations=list(
        'Intersection size'=intersection_size(
            counts=FALSE,
            mapping=aes(fill=mpaa)
        )
    ),
    width_ratio=0.1
)

set_size(8, 3)
upset(
    movies,
    genres,
    base_annotations=list(
        'Intersection size'=intersection_size(
            counts=FALSE,
            mapping=aes(fill=mpaa)
        ) + scale_fill_manual(values=c(
            'R'='#E41A1C', 'PG'='#377EB8',
            'PG-13'='#4DAF4A', 'NC-17'='#FF7F00'
        ))
    ),
    width_ratio=0.1
)

set_size(8, 3)

upset(
    movies,
    genres,
    base_annotations=list(
        'Intersection size'=intersection_size(
            counts=FALSE,
            mapping=aes(fill='bars_color')
        ) + scale_fill_manual(values=c('bars_color'='blue'), guide='none')
    ),
    width_ratio=0.1
)

3.3 Adjusting the height ratio

Setting height_ratio=1 will cause the intersection matrix and the intersection size to have an equal height:

set_size(8, 3)

upset(
    movies,
    genres,
    height_ratio=1,
    width_ratio=0.1
)

3.5 Hiding intersection size

You can always disable the intersection size altogether:

set_size(8, 1.6)
upset(
    movies,
    genres,
    base_annotations=list(),
    min_size=10,
    width_ratio=0.1
)

3.6 Showing intersection size/union size ratio

It can be useful to visualise which intersections are larger than expected by chance (assuming equal probability of belonging to multiple sets); this can be achieved using the intersection size/union size ratio.

set_size(8, 6)
upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=10,
    base_annotations=list(
        'Intersection size'=intersection_size(),
        'Intersection ratio'=intersection_ratio()
    )
)
Warning message:
“Removed 62 rows containing missing values (position_stack).”

The plot above tells us that the analysed documentary movies are almost always (in over 60% of cases) documentaries (and nothing more!), while comedies more often include elements of other genres (e.g. drama, romance) rather than being comedies alone (like stand-up shows).

3.7 Showing percentages

text_mapping can be used to manipulate the aesthetics of the labels. Using the intersection_size and union_size one can calculate percentage of items in the intersection (relative to the potential size of the intersection). A upset_text_percentage(digits=0, sep='') shorthand is provided for convenience:

set_size(8, 6)
upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=10,
    base_annotations=list(
        # with manual aes specification:
        'Intersection size'=intersection_size(text_mapping=aes(label=paste0(round(
            !!get_size_mode('exclusive_intersection')/!!get_size_mode('inclusive_union') * 100
        ), '%'))),
        # using shorthand:
        'Intersection ratio'=intersection_ratio(text_mapping=aes(label=!!upset_text_percentage()))
    )
)
Warning message:
“Removed 62 rows containing missing values (position_stack).”

Also see 10. Display percentages.

3.8 Further adjustments using ggplot2 functions

set_size(8, 3)
upset(
    movies, genres, width_ratio=0.1,
    base_annotations = list(
        'Intersection size'=(
            intersection_size()
            + ylim(c(0, 700))
            + theme(plot.background=element_rect(fill='#E5D3B3'))
            + ylab('# observations in intersection')
        )
    ),
    min_size=10
)

4. Adjusting “set size”

When using thresholding or selection criteria (such as min_size or n_intersections) the change in number of elements in each set size is not reflected in the set sizes plot by default. You can change this by providing filter_intersections=TRUE to upset_set_size.

set_size(8, 2.5)
upset(
    movies, genres,
    min_size=200,
    set_sizes=upset_set_size()
) | upset(
    movies, genres,
    min_size=200,
    set_sizes=upset_set_size(filter_intersections=TRUE)
)

4.1 Rotate labels

To rotate the labels modify corresponding theme:

set_size(4, 3)
upset(
    movies, genres,
    min_size=100,
    width_ratio=0.15,
    set_sizes=(
        upset_set_size()
        + theme(axis.text.x=element_text(angle=90))
    )
)

To display the ticks:

set_size(4, 3)
upset(
    movies, genres, width_ratio=0.3, min_size=100, wrap=TRUE,
    set_sizes=(
        upset_set_size()
        + theme(axis.ticks.x=element_line())
    )
)

4.2 Modify geoms and other layers

Arguments of the geom_bar can be adjusted in upset_set_size; it can use a different geom, or be replaced with a custom list of layers altogether:

set_size(8, 3)

(
    upset(
        movies, genres, width_ratio=0.5, max_size=100, min_size=15, wrap=TRUE,
        set_sizes=upset_set_size(
            geom=geom_bar(width=0.4)
        )
    )
    +
    upset(
        movies, genres, width_ratio=0.5, max_size=100, min_size=15, wrap=TRUE,
        set_sizes=upset_set_size(
            geom=geom_point(
                stat='count',
                color='blue'
            )
        )
    )
    +
    upset(
        movies, genres, width_ratio=0.5, max_size=100, min_size=15, wrap=TRUE,
        set_sizes=(
            upset_set_size(
                geom=geom_point(stat='count'),
                mapping=aes(y=..count../max(..count..)),
            )
            + ylab('Size relative to the largest')
        )
    )
)

4.3 Logarithmic scale

In order to use a log scale we need to pass additional scale to in layers argument. However, as the bars are on flipped coordinates, we need a reversed log transformation. Appropriate function, reverse_log_trans() is provided:

set_size(5, 3)

upset(
    movies, genres,
    width_ratio=0.1,
    min_size=10,
    set_sizes=(
        upset_set_size()
        + theme(axis.text.x=element_text(angle=90))
        + scale_y_continuous(trans=reverse_log_trans())
    ),
    queries=list(upset_query(set='Drama', fill='blue'))
)

We can also modify the labels to display the logged values:

set_size(5, 3)

upset(
    movies, genres,
    min_size=10,
    width_ratio=0.2,
    set_sizes=upset_set_size()
        + scale_y_continuous(
            trans=reverse_log_trans(),
            labels=log10
        )
        + ylab('log10(set size)')
)

4.4 Display counts

To display the count add geom_text():

set_size(5, 3)

upset(
    movies, genres,
    min_size=10,
    width_ratio=0.3,
    encode_sets=FALSE,  # for annotate() to select the set by name disable encoding
    set_sizes=(
        upset_set_size()
        + geom_text(aes(label=..count..), hjust=1.1, stat='count')
        # you can also add annotations on top of bars:
        + annotate(geom='text', label='@', x='Drama', y=850, color='white', size=3)
        + expand_limits(y=1100)
        + theme(axis.text.x=element_text(angle=90))
    )
)

4.5 Change position and add fill

set_size(5, 3)

upset(
    movies, genres,
    min_size=10,
    width_ratio=0.3,
    set_sizes=(
        upset_set_size(
            geom=geom_bar(
                aes(fill=mpaa, x=group),
                width=0.8
            ),
            position='right'
        )
    ),
    # moves legends over the set sizes
    guides='over'
)

4.6 Hide the set sizes altogether

set_size(5, 3)

upset(
    movies, genres,
    min_size=10,
    set_sizes=FALSE
)

5. Adjusting other aesthetics

5.1 Stripes

Change the colors:

set_size(6, 4)
upset(
    movies,
    genres,
    min_size=10,
    width_ratio=0.2,
    stripes=c('cornsilk1', 'deepskyblue1')
)

You can use multiple colors:

set_size(6, 4)
upset(
    movies,
    genres,
    min_size=10,
    width_ratio=0.2,
    stripes=c('cornsilk1', 'deepskyblue1', 'grey90')
)

Or, set the color to white to effectively disable the stripes:

set_size(6, 4)
upset(
    movies,
    genres,
    min_size=10,
    width_ratio=0.2,
    stripes='white'
)

Advanced customization using upset_stripes():

set_size(6, 4)
upset(
    movies,
    genres,
    min_size=10,
    width_ratio=0.2,
    stripes=upset_stripes(
        geom=geom_segment(size=5),
        colors=c('cornsilk1', 'deepskyblue1', 'grey90')
    )
)

Mapping stripes attributes to data using upset_stripes():

set_size(6, 4)
genre_metadata = data.frame(
    set=c('Action', 'Animation', 'Comedy', 'Drama', 'Documentary', 'Romance', 'Short'),
    shown_in_our_cinema=c('no', 'no', 'on weekends', 'yes', 'yes', 'on weekends', 'no')
)

upset(
    movies,
    genres,
    min_size=10,
    width_ratio=0.2,
    stripes=upset_stripes(
        mapping=aes(color=shown_in_our_cinema),
        colors=c(
            'yes'='green',
            'no'='red',
            'on weekends'='orange'
        ),
        data=genre_metadata
    )
)

5.2 Adding title

Adding title with ggtitle with add it to the intersection matrix:

set_size(6, 4)
upset(movies, genres, min_size=10) + ggtitle('Intersection matrix title')

In order to add a title for the entire plot, you need to wrap the plot:

set_size(6, 4)
upset(movies, genres, min_size=10, wrap=TRUE) + ggtitle('The overlap between genres')

5.3 Making the plot transparent

You need to set the plot background to transparent and adjust colors of stripes to your liking:

set_size(6, 4)
(
    upset(
        movies, genres, name='genre', width_ratio=0.1, min_size=10,
        stripes=c(alpha('grey90', 0.45), alpha('white', 0.3))
    )
    & theme(plot.background=element_rect(fill='transparent', color=NA))
)

Use ggsave('upset.png', bg="transparent") when exporting to PNG.

5.4 Adjusting the intersection matrix

Use intersection_matrix() to modify the matrix parameters:

set_size(8, 4)
upset(
    movies, genres, name='genre', min_size=10,
    encode_sets=FALSE,  # for annotate() to select the set by name disable encoding
    matrix=(
        intersection_matrix(
            geom=geom_point(
                shape='square',
                size=3.5
            ),
            segment=geom_segment(
                linetype='dotted'
            ),
            outline_color=list(
                active='darkorange3',
                inactive='grey70'
            )
        )
        + scale_color_manual(
            values=c('TRUE'='orange', 'FALSE'='grey'),
            labels=c('TRUE'='yes', 'FALSE'='no'),
            breaks=c('TRUE', 'FALSE'),
            name='Is intersection member?'
        )
        + scale_y_discrete(
            position='right'
        )
        + annotate(
            geom='text',
            label='Look here →',
            x='Comedy-Drama',
            y='Drama',
            size=5,
            hjust=1
        )
    ),
    queries=list(
        upset_query(
            intersect=c('Drama', 'Comedy'),
            color='red',
            fill='red',
            only_components=c('intersections_matrix', 'Intersection size')
        )
    )
)

6. Themes

The themes for specific components are defined in upset_themes list, which contains themes for:

names(upset_themes)
  1. ‘intersections_matrix’
  2. ‘Intersection size’
  3. ‘overall_sizes’
  4. ‘default’

You can substitute this list for your own using themes argument. While you can specify a theme for every component, if you omit one or more components those will be taken from the element named default.

6.1 Substituting themes

set_size(8, 4)
upset(movies, genres, min_size=10, themes=list(default=theme()))

You can also add themes for your custom panels/annotations:

set_size(8, 8)

upset(
    movies,
    genres,
    annotations = list(
        'Length'=list(
            aes=aes(x=intersection, y=length),
            geom=geom_boxplot(na.rm=TRUE)
        ),
        'Rating'=list(
            aes=aes(x=intersection, y=rating),
            geom=list(
                geom_jitter(aes(color=log10(votes)), na.rm=TRUE),
                geom_violin(alpha=0.5, na.rm=TRUE)
            )
        )
    ),
    min_size=10,
    width_ratio=0.1,
    themes=modifyList(
        upset_themes,
        list(Rating=theme_void(), Length=theme())
    )
)

6.2 Adjusting the default themes

Modify all the default themes as once with upset_default_themes():

set_size(8, 4)

upset(
    movies, genres, min_size=10, width_ratio=0.1,
    themes=upset_default_themes(text=element_text(color='red'))
)

To modify only a subset of default themes use upset_modify_themes():

set_size(8, 4)

upset(
    movies, genres,
    base_annotations=list('Intersection size'=intersection_size(counts=FALSE)),
    min_size=100,
    width_ratio=0.1,
    themes=upset_modify_themes(
        list(
            'intersections_matrix'=theme(text=element_text(size=20)),
            'overall_sizes'=theme(axis.text.x=element_text(angle=90))
        )
    )
)

7. Highlighting (queries)

Pass a list of lists generated with upset_query() utility to the optional queries argument to selectively modify aesthetics of specific intersections or sets.

Use one of the arguments: set or intersect (not both) to specify what to highlight: - set will highlight the bar of the set size, - intersect will highlight an intersection on all components (by default), or on components chosen with only_components - all other parameters will be used to modify the geoms

set_size(8, 6)

upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=10,
    annotations = list(
        'Length'=list(
            aes=aes(x=intersection, y=length),
            geom=geom_boxplot(na.rm=TRUE)
        )
    ),
    queries=list(
        upset_query(
            intersect=c('Drama', 'Comedy'),
            color='red',
            fill='red',
            only_components=c('intersections_matrix', 'Intersection size')
        ),
        upset_query(
            set='Drama',
            fill='blue'
        ),
        upset_query(
            intersect=c('Romance', 'Comedy'),
            fill='yellow',
            only_components=c('Length')
        )
    )
)

8. Sorting

8.1 Sorting intersections

By degree:

set_size(8, 3)
upset(movies, genres, width_ratio=0.1, sort_intersections_by='degree')

By ratio:

set_size(8, 4)
upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=10,
    sort_intersections_by='ratio',
    base_annotations=list(
        'Intersection size'=intersection_size(text_mapping=aes(label=!!upset_text_percentage())),
        'Intersection ratio'=intersection_ratio(text_mapping=aes(label=!!upset_text_percentage()))
    )
)
Warning message:
“Removed 62 rows containing missing values (position_stack).”

The other way around:

set_size(8, 3)
upset(movies, genres, width_ratio=0.1, sort_intersections='ascending')

Without any sorting:

set_size(8, 3)
upset(movies, genres, width_ratio=0.1, sort_intersections=FALSE)

First by degree then by cardinality:

set_size(8, 3)
upset(movies, genres, width_ratio=0.1, sort_intersections_by=c('degree', 'cardinality'))

User-specified order:

set_size(6, 3)
upset(
    movies,
    genres,
    width_ratio=0.1,
    sort_intersections=FALSE,
    intersections=list(
        'Comedy',
        'Drama',
        c('Comedy', 'Romance'),
        c('Romance', 'Drama'),
        'Outside of known sets',
        'Action'
    )
)

8.2 Sorting sets

Ascending:

set_size(8, 3)
upset(movies, genres, width_ratio=0.1, sort_sets='ascending')

Without sorting - preserving the order as in genres:

genres
  1. ‘Action’
  2. ‘Animation’
  3. ‘Comedy’
  4. ‘Drama’
  5. ‘Documentary’
  6. ‘Romance’
  7. ‘Short’ 
set_size(8, 3)
upset(movies, genres, width_ratio=0.1, sort_sets=FALSE)

9. Grouping

9.1 Grouping intersections

Use group_by='sets' to group intersections by set. If needed, the intersections will be repeated so that they appear in each set group. Use upset_query() with group argument to color the intersection matrix accordingly.

set_size(8, 3)

upset(
    movies, c("Action", "Comedy", "Drama"),
    width_ratio=0.2,
    group_by='sets',
    queries=list(
        upset_query(
            intersect=c('Drama', 'Comedy'),
            color='red',
            fill='red',
            only_components=c('intersections_matrix', 'Intersection size')
        ),
        upset_query(group='Drama', color='blue'),
        upset_query(group='Comedy', color='orange'),
        upset_query(group='Action', color='purple'),
        upset_query(set='Drama', fill='blue'),
        upset_query(set='Comedy', fill='orange'),
        upset_query(set='Action', fill='purple')
    )
)

10. Display percentages

Use aes_percentage() utility preceded with !! syntax to easily display percentages. In the examples below only percentages for the movies with R rating are shown to avoid visual clutter.

rating_scale = scale_fill_manual(values=c(
    'R'='#E41A1C', 'PG'='#377EB8',
    'PG-13'='#4DAF4A', 'NC-17'='#FF7F00'
))
show_hide_scale = scale_color_manual(values=c('show'='black', 'hide'='transparent'), guide='none')

10.1 Within intersection

set_size(8, 5)

upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=100,
    annotations =list(
        'MPAA Rating'=list(
            aes=aes(x=intersection, fill=mpaa),
            geom=list(
                geom_bar(stat='count', position='fill', na.rm=TRUE),
                geom_text(
                    aes(
                        label=!!aes_percentage(relative_to='intersection'),
                        color=ifelse(mpaa == 'R', 'show', 'hide')
                    ),
                    stat='count',
                    position=position_fill(vjust = .5)
                ),
                scale_y_continuous(labels=scales::percent_format()),
                show_hide_scale,
                rating_scale
            )
        )
    )
)
Warning message:
“Removed 262 rows containing non-finite values (stat_count).”

10.2 Relative to the group

set_size(8, 5)

upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=100,
    annotations =list(
        'MPAA Rating'=list(
            aes=aes(x=intersection, fill=mpaa),
            geom=list(
                geom_bar(stat='count', position='fill', na.rm=TRUE),
                geom_text(
                    aes(
                        label=!!aes_percentage(relative_to='group'),
                        group=mpaa,
                        color=ifelse(mpaa == 'R', 'show', 'hide')
                    ),
                    stat='count',
                    position=position_fill(vjust = .5)
                ),
                scale_y_continuous(labels=scales::percent_format()),
                show_hide_scale,
                rating_scale
            )
        )
    )
)

Warning message:
“Removed 262 rows containing non-finite values (stat_count).”

10.3 Relative to all observed values

set_size(8, 5)

upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=100,
    annotations =list(
        'MPAA Rating'=list(
            aes=aes(x=intersection, fill=mpaa),
            geom=list(
                geom_bar(stat='count', position='fill', na.rm=TRUE),
                geom_text(
                    aes(
                        label=!!aes_percentage(relative_to='all'),
                        color=ifelse(mpaa == 'R', 'show', 'hide')
                    ),
                    stat='count',
                    position=position_fill(vjust = .5)
                ),
                scale_y_continuous(labels=scales::percent_format()),
                show_hide_scale,
                rating_scale
            )
        )
    )
)
Warning message:
“Removed 262 rows containing non-finite values (stat_count).”

11. Advanced usage examples

11.1 Display text on some bars only

set_size(8, 5)

upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=100,
    annotations =list(
        'MPAA Rating'=list(
            aes=aes(x=intersection, fill=mpaa),
            geom=list(
                geom_bar(stat='count', position='fill', na.rm=TRUE),
                geom_text(
                    aes(label=ifelse(mpaa == 'R', 'R', NA)),
                    stat='count',
                    position=position_fill(vjust = .5),
                    na.rm=TRUE
                ),
                show_hide_scale,
                rating_scale
            )
        )
    )
)

11.2 Combine multiple plots together

set_size(8, 5)
library(patchwork)

annotations = list(
    'MPAA Rating'=list(
        aes=aes(x=intersection, fill=mpaa),
        geom=list(
            geom_bar(stat='count', position='fill')
        )
    )
)
set.seed(0)    # for replicable example only

data_1 = movies[sample(nrow(movies), 100), ]
data_2 = movies[sample(nrow(movies), 100), ]

u1 = upset(data_1, genres, min_size=5, base_annotations=annotations)
u2 = upset(data_2, genres, min_size=5, base_annotations=annotations)

(u1 | u2) + plot_layout(guides='collect')
Warning message:
“Removed 16 rows containing non-finite values (stat_count).”
Warning message:
“Removed 15 rows containing non-finite values (stat_count).”

11.3 Change height of the annotations

set_size(8, 3.5)
upset(
    movies, genres, name='genre', width_ratio=0.1, min_size=100,
    annotations =list(
        'MPAA Rating'=list(
            aes=aes(x=intersection, fill=mpaa),
            geom=list(
                geom_bar(stat='count', position='fill'),
                scale_y_continuous(labels=scales::percent_format())
            )
        )
    )
) + patchwork::plot_layout(heights=c(0.5, 1, 0.5))
Warning message:
“Removed 262 rows containing non-finite values (stat_count).”

12. Venn diagrams

Simple implementation of Venn diagrams is provided, taking the same input format as upset() but only supporting up to three sets.

movies_subset = head(movies, 300)
genres_subset = c('Comedy', 'Drama', 'Action')

movies_subset$good_rating = movies_subset$rating > mean(movies_subset$rating)
arranged = arrange_venn(movies_subset, sets=genres_subset)

12.1 Highlight specific elements

set_size(8, 5.5)
(
    ggplot(arranged)
    + theme_void()
    + coord_fixed()
    + geom_point(aes(x=x, y=y, color=region, shape=good_rating, fill=length), size=2.7)
    + geom_venn_circle(movies_subset, sets=genres_subset, size=1)
    + geom_venn_label_set(movies_subset, sets=genres_subset, aes(label=region), outwards_adjust=2.6)
    + geom_venn_label_region(movies_subset, sets=genres_subset, aes(label=size), position=position_nudge(y=0.15))
    + geom_curve(
        data=arranged[which.min(arranged$length), ],
        aes(xend=x+0.01, yend=y+0.01), x=1.5, y=2.5, curvature=.2,
        arrow = arrow(length = unit(0.015, "npc"))
    )
    + annotate(
        geom='text', x=1.9, y=2.6, size=6,
        label=paste(substr(arranged[which.min(arranged$length), ]$title, 0, 9), 'is the shortest')
    )
    + scale_color_venn_mix(movies, sets=genres_subset, guide='none')
    + scale_shape_manual(
        values=c(
            'TRUE'='triangle filled',
            'FALSE'='triangle down filled'
        ),
        labels=c(
            'TRUE'='above average',
            'FALSE'='below average'
        ),
        name='Rating'
    )
    + scale_fill_gradient(low='white', high='black', name='Length (minutes)')

)

12.2 Highlight all regions

set_size(8, 5.5)
(
    ggplot(arranged)
    + theme_void()
    + coord_fixed()
    + geom_venn_region(movies_subset, sets=genres_subset, alpha=0.1)
    + geom_point(aes(x=x, y=y, color=region), size=2.5)
    + geom_venn_circle(movies_subset, sets=genres_subset, size=1.5)
    + geom_venn_label_set(movies_subset, sets=genres_subset, aes(label=region), outwards_adjust=2.6)
    + geom_venn_label_region(movies_subset, sets=genres_subset, aes(label=size), position=position_nudge(y=0.15))
    + scale_color_venn_mix(movies, sets=genres_subset, guide='none')
    + scale_fill_venn_mix(movies, sets=genres_subset, guide='none')
)

12.3 Highlight specific regions

set_size(8, 5.5)

(
    ggplot(arranged)
    + theme_void()
    + coord_fixed()
    + geom_venn_region(movies_subset, sets=genres_subset, alpha=0.2)
    + geom_point(aes(x=x, y=y, color=region), size=1.5)
    + geom_venn_circle(movies_subset, sets=genres_subset, size=2)
    + geom_venn_label_set(movies_subset, sets=genres_subset, aes(label=region), outwards_adjust=2.6)
    + scale_color_venn_mix(movies, sets=genres_subset, guide='none')
    + scale_fill_venn_mix(movies, sets=genres_subset, guide='none', highlight=c('Comedy-Action', 'Drama'), inactive_color='white')
)

12.4 Two sets Venn

The density of the points grid is determined in such a way that the all the points from the set with the largest space restrictions are fit into the available area. In case of the diagram below, its the observations that do not belong to any set that define the grid density:

set_size(6, 4.5)
genres_subset = c('Action', 'Drama')
(
    ggplot(arrange_venn(movies_subset, sets=genres_subset))
    + theme_void()
    + coord_fixed()
    + geom_point(aes(x=x, y=y, color=region), size=2)
    + geom_venn_circle(movies_subset, sets=genres_subset, size=2)
    + geom_venn_label_set(movies_subset, sets=genres_subset, aes(label=region), outwards_adjust=2.6)
    + scale_color_venn_mix(movies, sets=genres_subset, guide='none')
)

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.