R: Untangle graph plot - r

I have the following graph plot with 131 vertices made by using plot with an object of the igraph class. My question is whether there is any way to present this in a cleaner way so that nodes at least don't overlap each other and edges are more visible.

I'm not too familiar with these types of graphs, so I can't provide a specific answer. But this sounds like a good time to use the jitter() function which adds random noise between the data points, thus separating them out.

Related

geom_bspline across multiple plots combined into a single figure

I would like to create a ggplot2 layer that includes multiple geom_bspline(), or something similar, to point to regions on different plots after combining them into a single figure. A feature in the data seen in one plot appears in another plot after a transformation. However, it may not be clear to a non-expert they are due to the same phenomenon. The plots are to be combined into a single figure using ggarrange(), cowplot(), patchwork() or something similar.
I can get by using ggforce::geom_ellipse() on each plot but it's not as clean. Any suggestions?
Of course, after asking the question and staring at the figure in question, it came to me that I simply need to add a geom_bspline() to the combined figure. Tried that earlier but didn't give enough thought to the coordinates on the new layer. The coordinates of the spline are given in the range of 0 to 1 for both the x and y values on this new layer. Simple and obvious.

Issues with combining different (continuous and ordinal) plot types into one plot

I am preparing a figure for a paper presenting data for 2 different experiments in one plot. For that reason I don't need a legend for every plot, so I try to combine them with ggdraw from cowplot.
My code
should generate a reproducible example
and gives this output:
It seems like the two figures get the same slot (A) and the legend gets slot (B). Typically, I would probably use facet wrap to plot them together (which should also guarantee that the scaling/legend is consistent across the two plots.), but that will probably not work in this case, as I am trying to add an additional figure type to C and D.
The problem is that this figure type is ordinal so I have used a somewhat “hacky” approach to plot it, giving me this figure looking essentially as I want it to:
I so far have not been able to extract to another element that ggdraw can use.
Ideally the final plot should roughly look like this (of course with different labels):
How would you go about plotting these different types together?
Thank you for taking time to read my question and I hope that you can help me. I now it is quite a mouth full, but I was not sure how I meaningfully could reduce it to smaller chunks.

How to reproduce this graphical explanation (a scatter plot) of how covariance works?

I found this graphical intuitive explanation of covariance:
32 binormal points drawn from distributions with the given covariances, ordered from most negative (bluest) to most positive (reddest)
The whole material can be found at:
https://stats.stackexchange.com/questions/18058/how-would-you-explain-covariance-to-someone-who-understands-only-the-mean
I would like to recreate this sort of graphical illustration in R, but I'm not sufficiently familiar with R's plotting tools. I don't even know where to start in order to get those colored rectangles between each pair of data points, let alone make them semi-transparent.
I think this could make a very efficient teaching tool.
The cor.rect.plot function in the TeachingDemos package makes plots similar to what is shown. You can modify the code for the function to make the plot even more similar if you desire.

Polygon/contour around subset of vertices on graph (more precise than mark.groups in igraph)

Problem definition
I need to produce a number of specific graphs, and on these graphs, highlight subsets of vertices (nodes) by drawing a contour/polygon/range around or over them (see image below).
A graph may have multiple of these contours/ranges, and they may overlap, iff one or more vertices belong to multiple subsets.
Given a graph of N vertices, any subset may be of size 1..N.
However, vertices not belonging to a subset must not be inside the contour (as that would be misleading, so that's priority no. 1). This is gist of my problem.
All these graphs happen to have the property that the ranges are continuous, as the data they represent covers only directly connected subsets of vertices.
All graphs will be undirected and connected (no unconnected vertices will ever be plotted).
Reproducible attempts
I am using R and the igraph package. I have already tried some solutions, but none of them work well enough.
First attempt, mark.groups in plot.igraph:
library(igraph)
g = make_graph("Frucht")
l = layout.reingold.tilford(g,1)
plot(g, layout=l, mark.groups = c(1,3,6,12,5), mark.shape=1)
# bad, vertex 11 should not be inside the contour
plot(g, layout=l, mark.groups = c(1,6,12,5,11), mark.shape=1)
# 3 should not be in; image below
# just choosing another layout here is not a generalizable solution
The plot.igraph calls igraph.polygon, which calls convex_hull (also igraph), which calls xspline. The results is, from what I understand, something called a convex hull (which otherwise looks very nice!), but for my purposes that is not precise enough, covering vertices that should not be covered.
Second attempt with contour. So I tried implementing my own version, based on the solution suggested here:
library(MASS)
xx <- runif(5, 0, 1);yy <- abs(xx)+rnorm(5,0,0.2)
plot(xx,yy, xlim=c( min(xx)-sd(xx),max(xx)+sd(xx)), ylim =c( min(yy)-sd(yy), max(yy)+sd(yy)))
dens2 <- kde2d(xx, yy, lims=c(min(xx)-sd(xx), max(xx)+sd(xx), min(yy)- sd(yy), max(yy)+sd(yy) ),h=c(bandwidth.nrd(xx)/1.5, bandwidth.nrd(xx)/ 1.5), n=50 )
contour(dens2, level=0.001, col="red", add=TRUE, drawlabels=F)
The contour plot looks in principle like something I could use, given enough tweaking of the bandwidth and level values (to make the contour snug enough so it doesn't cover any points outside the group). However, this solution has the drawback that when the level value is too small, the contour breaks (doesn't produce a continuous area) - so if I would go that way, controlling for continuity (and determining good bandwidth/level values on the fly) automatically should be implemented. Another problem is, I cannot quite see how could I plot the contour over the plots produced by igraph: the layout.* commands produce what looks like a coordinate matrix, but the coordinates do not match the axis coordinates on the plot:
# compare:
layout.reingold.tilford(g,1)
plot(g, layout=l, axes=T)
The question:
What would be a better way to achieve the plotting of such ranges on graphs (ideally igraphs) in R that would meet the criteria outlined above - ranges that include only the vertices that belong to their subset and exclude all else - while being continous ranges?
The solution I am looking for should be scalable to graphs of different sizes and layouts that I may need to create (so hand-tweaking each graph by hand using e.g. tkplot is not a good solution). I am aware that on some graphs with some vertex groups, meeting both the criteria will indeed be impossible in practise, but intuitively it should be possible to implement something that still works most of the time with smallish (10..20 vertices) and not-too-complex graphs (ideally it would be possible to detect and give a warning if a perfectly fitting range could not be plotted). Either an improvement of the mark.groups approach (not necessarily within the package, but using the hull-idea mentioned above), or something with contour or a similar suitable function, or suggesting something else entirely would be welcome, as long as it works (most of the time).
Update stemming from the discussion: a solution that only utilizes functions of core R or CRAN packages (not external software) is desirable, since I will eventually want to incorporate this functionality in a package.
Edit: specified the last paragraph as per the comments.
The comment area is not long enough to fit my answer there, so I'm putting this here, although I'd rather post it as a comment as it is not a full solution.
Quite a long throw, but the first thing that popped into my mind is support vector machines. The idea would be that you construct a support vector machine classifier that classifies your points into two groups (in or out) based on the coordinates of the vertices, using some non-linear kernel function (I would try the radial basis function). Then you plot the separating hyperplane of the trained support vector machine. One drawback is that the area that you obtain this way might be unbounded (i.e. go to infinity in some directions), so this idea definitely requires some further thinking, but at least that's one possible direction to go.

How to avoid overplotting (for points) using base-graph?

I am in my way of finishing the graphs for a paper and decided (after a discussion on stats.stackoverflow), in order to transmit as much information as possible, to create the following graph that present both in the foreground the means and in the background the raw data:
However, one problem remains and that is overplotting. For example, the marked point looks like it reflects one data point, but in fact 5 data points exists with the same value at that place.
Therefore, I would like to know if there is a way to deal with overplotting in base graph using points as the function.
It would be ideal if e.g., the respective points get darker, or thicker or,...
Manually doing it is not an option (too many graphs and points like this). Furthermore, ggplot2 is also not what I want to learn to deal with this single problem (one reason is that I tend to like dual-axes what is not supprted in ggplot2).
Update: I wrote a function which automatically creates the above graphs and avoids overplotting by adding vertical or horizontal jitter (or both): check it out!
This function is now available as raw.means.plot and raw.means.plot2 in the plotrix package (on CRAN).
Standard approach is to add some noise to the data before plotting. R has a function jitter() which does exactly that. You could use it to add the necessary noise to the coordinates in your plot. eg:
X <- rep(1:10,10)
Z <- as.factor(sample(letters[1:10],100,replace=T))
plot(jitter(as.numeric(Z),factor=0.2),X,xaxt="n")
axis(1,at=1:10,labels=levels(Z))
Besides jittering, another good approach is alpha blending which you can obtain (on the graphics devices supporing it) as the fourth color parameter. I provided an example for 'overplotting' of two histograms in this SO question.
One additional idea for the general problem of showing the number of points is using a rug plot (rug function), this places small tick marks along the margin that can show how many points contribute (still use jittering or alpha blending for ties). This allows the actual points to show their true rather than jittered values, but the rug can then indicate which parts of the plot have more values.
For the example plot direct jittering or alpha blending is probably best, but in some other cases the rug plot can be useful.
You may also use sunflowerplot, while it would be hard to implement it here. I would use alpha-blending, as Dirk suggested.

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