Confidence Interval for large dataset - matplotlib

I would like to get a confidence interval for very large datasets. It is composed by around 700,000 points for x and y. I also tried to use less data, like 200 points, and with that it is possible to plot. But, when it comes to my specific datasets, it does not show the confidence interval.
For that, my code is based on:
x_x = np.array(y_test[:, 0]) #about 700,000 points
y_y = np.array(y_pred[:, 0]) #about 700,000 points
sns.set(style = 'whitegrid')
p = sns.FacetGrid(d, size = 4, aspect = 1.5)
p.map(plt.scatter, 'x_x', 'y_y', color = 'red')
p.map(sns.regplot, 'x_x', 'y_y', scatter = False, ci = 95,
fit_reg = True, color = 'blue')
p.map(sns.regplot, 'x_x', 'y_y', scatter = False, ci = 0,
fit_reg = True, color = 'darkgreen')
And also the Figure so far:

Related

Calculating the size of an object using opencv and numpy poly1d

I'm looking to use a small numpy array to generate a curve that I can use to predict the height measurement at non-known points. I have several points that I am using to create a poly1d. I know it's possible, we use software that does it just fine at work, and when I used a different image as a tester, plugging the values into Excel and getting the polynomial, it worked fine, but I'm getting pretty drastic measurements on a different calibratable image, I get drastically different results.
Here is the image that I'm trying to measure.
The stick on the front of the pole contains known measurements. From bottom to top, they are 3'6" (42"), 6'6" (78"), 9' 8" (116"), 13' (156)
The picture has been through opencv undistort with a calibrated camera.
This is the function that actually performs the logic. x and y are gathered by cv2 EVENT_LBUTTONUP, and sent to this function.
Checking the lengths of the array is just to help me figure out why this isn't working, trying to generate a line to show the curve fit.
dist = self.firstClick-y
self.yData.append(dist)
if len(self.yData) > 4:
print(self.poly(dist))
if len(self.yData) == 4:
array = np.array(self.xData)
array = np.expand_dims(array, axis=0)
print(self.xData)
print(self.yData)
array=np.append(array, [self.yData], axis=0)
print(array)
x = array[:,0]
y = array[:,1]
self.poly = np.poly1d(np.polyfit(x, y, 2))
poly1d = np.poly1d(self.poly)
xp = np.linspace(-2, 20, 1)
_ = plt.plot(x, y, '.', xp, self.poly(xp), '-', xp, self.poly(xp), '--')
plt.ylim(0,200)
plt.show()
When I run this code, my values tend to quickly go into the tens of thousands when I'm attempting to collect the measurement at 18' 11", (the lowest wire).
Any help would be appreciated, I've been up all night trying to fit this curve.
Edit:
Sorry, I should have included the code used to display and scale the image.
self.img = cv2.imread(imagePath, cv2.IMREAD_ANYCOLOR)
self.scale_percent = 30
self.width = int(self.img.shape[1] * self.scale_percent/100)
self.height = int(self.img.shape[0] * self.scale_percent/100)
dsize = (self.width, self.height)
self.output = cv2.resize(self.img, dsize)
img = self.output
cv2.imshow('image', img)
cv2.setMouseCallback('image', self.click_event)
cv2.waitKey()
I just called this function to display the image and the below code to calibrate the values.
if self.firstClick == 0:
self.firstClick = y
cv2.putText(self.output, "Pole Base", (x, y), font, 1, (255, 255, 0), 2)
cv2.imshow('image', self.output)
elif self.firstClick != 0 and self.secondClick == 0:
self.secondClick = y
print("The difference in first and second clicks is", self.firstClick - self.secondClick)
first = self.firstClick - self.secondClick
inch = first/42
foot = inch*12
self.foot = foot
print("One foot is currently: ", foot)
self.firstLine = 3.5*12
self.secondLine = 6.5*12
self.thirdLine = 9.67*12
self.fourthLine = 13*12
self.xData = np.array([self.firstLine, self.secondLine, self.thirdLine, self.fourthLine])
self.yData.append(self.firstLine)
print(self.firstLine)
print(self.secondLine)
print(self.thirdLine)
print(self.fourthLine)

geom_bar for total counts of binned continuous variable

I'm really struggling to achieve what feels like an incredibly basic geom_bar plot. I would like the sum of y to be represented by one solid bar (with colour = black outline) in bins of 10 for x. I know that stat = "identity" is what is creating the unnecessary individual blocks in each bar but can't find an alternative to achieving what is so close to my end goal. I cheated and made the below desired plot in illustrator.
I don't really want to code x as a factor for the bins as I want to keep the format of the axis ticks and text rather than having text as "0 -10", "10 -20" etc. Is there a way to do this in ggplot without the need to use summerise or cut functions on the raw data? I am also aware of geom_col and sat_count options but again, can't achive my desired outcome.
DF as below, where y = counts at various values of a continuous variable x. Also a factor variable of type.
y = c(1 ,1, 3, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1,1, 2, 1, 2, 3, 2, 2, 1)
x = c(26.7, 28.5, 30.0, 34.8, 35.0, 36.4, 38.6, 40.0, 42.1, 43.7, 44.1, 45.0, 45.5, 47.4, 48.0, 57.2, 57.8, 64.2, 65.0, 66.7, 68.0, 74.4, 94.1)
type = c(rep("Type 1", 20), "Type 2", rep("Type 1", 2))
df<-data.frame(x,y,type)
Bar plot of total y count for each bin of x - trying to fill by total of type, but getting individual proportions as shown by line colour = black. Would like total for each type in each bar.
ggplot(df,aes(y=y, x=x))+
geom_bar(stat = "identity",color = "black", aes(fill = type))+
scale_x_binned(limits = c(20,100))+
scale_y_continuous(expand = c(0, 0), breaks = seq(0,10,2)) +
xlab("")+
ylab("Total Count")
Or trying to just have the total count within each bin but don't want the internal lines in the bars, just the outer colour = black for each bar
ggplot(df,aes(y=y, x=x))+
geom_col(fill = "#00C3C6", color = "black")+
scale_x_binned(limits = c(20,100))+
scale_y_continuous(expand = c(0, 0), breaks = seq(0,10,2)) +
xlab("")+
ylab("Total Count")
Here is one way to do it, with previous data transformation and geom_col:
df <- df |>
mutate(bins = floor(x/10) * 10) |>
group_by(bins, type) |>
summarise(y = sum(y))
ggplot(data = df,
aes(y = y,
x = bins))+
geom_col(aes(fill = type),
color = "black")+
scale_x_continuous(breaks = seq(0,100,10)) +
scale_y_continuous(expand = c(0, 0),
breaks = seq(0,10,2)) +
xlab("")+
ylab("Total Count")

mplcursors on multiaxis graph

In my program, im using mplcursors on a matplotlib graph so I can identify certain points precisely.
mplcursors.cursor(multiple=True).connect("add", lambda sel: sel.annotation.draggable(False))
Now I made a complex graph with multiple axis:
first = 1
offset = 60
for x in range(len(cat_list)):
if "Time" not in cat_list[x]:
if first and not cat_list[x].startswith("EngineSpeed"):
parasites[x] = ParasiteAxes(host, sharex = host)
host.parasites.append(parasites[x])
parasites[x].axis["right"].set_visible(True)
parasites[x].set_ylabel(cat_list[x])
parasites[x].axis["right"].major_ticklabels.set_visible(True)
parasites[x].axis["right"].label.set_visible(True)
p_plot, = parasites[x].plot(t, t_num_list[x], label = cat_list[x])
#parasites[x].axis["right"+str(x+1)].label.set_color(p_plot.get_color())
parasites[x].axis["right"].label.set_color(p_plot.get_color())
first = 0
elif not cat_list[x].startswith("EngineSpeed"):
parasites[x] = ParasiteAxes(host, sharex = host)
host.parasites.append(parasites[x])
parasites[x].set_ylabel(cat_list[x])
new_axisline = parasites[x].get_grid_helper().new_fixed_axis
parasites[x].axis["right"+str(x+1)] = new_axisline(loc = "right",
axes = parasites[x],
offset = (offset, 0))
p_plot, = parasites[x].plot(t, t_num_list[x])
parasites[x].axis["right"+str(x+1)].label.set_color(p_plot.get_color())
offset = offset + 60
host.legend()
fig.add_axes(host)
plt.show()
This code results in the following graph:
https://i.stack.imgur.com/Wl7yC.png
Now I have to somehow be able to select certain points by selecting which axis im using. How do I make a selection menu for choosing an active axis and how do I then use mplcursors to select my points?
Thanks,
Ziga

while creating table underneath axis on a plot, is there a way to create some whitespace between the axis and the table using matplotlib?

I am trying to create table inside a plot right underneath the axis of the plot using matplotlib
I am using the plt.table function to do this
However, when i create the table, it's created right on top of the axis, hence overlaps with the axislabels
Is there a way to create the white space in between
the code looks something like this
for key, value in arrayToPlot.iteritems():
ax1 = fig.add_subplot(2, 2, 1)
if value["HorErr"]:
cdf = []
#calculate percentile stats for the value["HorErr"]
cdfArrayPointer[key]["HorErr"]["percentileStats"]=libMath.percentileForListofPercentiles( value["HorErr"], PERCENTILE, validPointsOnly = True )
# now calculate the cdf values
cdfArrayPointer[key]["HorErr"]["cdf"] = libMath.cdf( value["HorErr"], 2, 400, validPointsOnly = True)
for k, v in cdfArrayPointer[key]["HorErr"]["cdf"].iteritems():
cdf.append( v )
#plot the cdf value
ax1.plot(cdf, 'o-', label = ('HorErr for ' + str( key) ), color = getColour(key), markersize=3)
plt.title("CDF Plot of 2D-Horizontal Error", size = 8)
plt.ylabel('Percentile %', size = 7)
plt.xlabel('Horizontal Error [m]', size = 6)
plt.axis([0, 150, 0, 110])
leg = plt.legend(loc = 4)
setLegendSize( leg, 7)
# creating the table to be drawn on the axis
tableTexts["rows"].append(key)
tableTexts["rowColour"].append(getColour(key))
if (len(tableTexts["col"]) == 0):
tableTexts["col"] = tuple(cdfArrayPointer[key]["HorErr"]["percentileStats"].keys())
tableTexts["values"].append(cdfArrayPointer[key]["HorErr"]["percentileStats"].values())
the_table = plt.table(cellText=tableTexts["values"], rowLabels= tableTexts["rows"], rowColours= tableTexts["rowColour"] ,colLabels= tableTexts["col"], loc="bottom")
What about breaking your figure up using subplot?
You could have the axis in one subplot, and the table in another. (See example near bottom of page here)
I can illustrate further if you can't follow.

Storing plot objects in a list

I asked this question yesterday about storing a plot within an object. I tried implementing the first approach (aware that I did not specify that I was using qplot() in my original question) and noticed that it did not work as expected.
library(ggplot2) # add ggplot2
string = "C:/example.pdf" # Setup pdf
pdf(string,height=6,width=9)
x_range <- range(1,50) # Specify Range
# Create a list to hold the plot objects.
pltList <- list()
pltList[]
for(i in 1 : 16){
# Organise data
y = (1:50) * i * 1000 # Get y col
x = (1:50) # get x col
y = log(y) # Use natural log
# Regression
lm.0 = lm(formula = y ~ x) # make linear model
inter = summary(lm.0)$coefficients[1,1] # Get intercept
slop = summary(lm.0)$coefficients[2,1] # Get slope
# Make plot name
pltName <- paste( 'a', i, sep = '' )
# make plot object
p <- qplot(
x, y,
xlab = "Radius [km]",
ylab = "Services [log]",
xlim = x_range,
main = paste("Sample",i)
) + geom_abline(intercept = inter, slope = slop, colour = "red", size = 1)
print(p)
pltList[[pltName]] = p
}
# close the PDF file
dev.off()
I have used sample numbers in this case so the code runs if it is just copied. I did spend a few hours puzzling over this but I cannot figure out what is going wrong. It writes the first set of pdfs without problem, so I have 16 pdfs with the correct plots.
Then when I use this piece of code:
string = "C:/test_tabloid.pdf"
pdf(string, height = 11, width = 17)
grid.newpage()
pushViewport( viewport( layout = grid.layout(3, 3) ) )
vplayout <- function(x, y){viewport(layout.pos.row = x, layout.pos.col = y)}
counter = 1
# Page 1
for (i in 1:3){
for (j in 1:3){
pltName <- paste( 'a', counter, sep = '' )
print( pltList[[pltName]], vp = vplayout(i,j) )
counter = counter + 1
}
}
dev.off()
the result I get is the last linear model line (abline) on every graph, but the data does not change. When I check my list of plots, it seems that all of them become overwritten by the most recent plot (with the exception of the abline object).
A less important secondary question was how to generate a muli-page pdf with several plots on each page, but the main goal of my code was to store the plots in a list that I could access at a later date.
Ok, so if your plot command is changed to
p <- qplot(data = data.frame(x = x, y = y),
x, y,
xlab = "Radius [km]",
ylab = "Services [log]",
xlim = x_range,
ylim = c(0,10),
main = paste("Sample",i)
) + geom_abline(intercept = inter, slope = slop, colour = "red", size = 1)
then everything works as expected. Here's what I suspect is happening (although Hadley could probably clarify things). When ggplot2 "saves" the data, what it actually does is save a data frame, and the names of the parameters. So for the command as I have given it, you get
> summary(pltList[["a1"]])
data: x, y [50x2]
mapping: x = x, y = y
scales: x, y
faceting: facet_grid(. ~ ., FALSE)
-----------------------------------
geom_point:
stat_identity:
position_identity: (width = NULL, height = NULL)
mapping: group = 1
geom_abline: colour = red, size = 1
stat_abline: intercept = 2.55595281266726, slope = 0.05543539319091
position_identity: (width = NULL, height = NULL)
However, if you don't specify a data parameter in qplot, all the variables get evaluated in the current scope, because there is no attached (read: saved) data frame.
data: [0x0]
mapping: x = x, y = y
scales: x, y
faceting: facet_grid(. ~ ., FALSE)
-----------------------------------
geom_point:
stat_identity:
position_identity: (width = NULL, height = NULL)
mapping: group = 1
geom_abline: colour = red, size = 1
stat_abline: intercept = 2.55595281266726, slope = 0.05543539319091
position_identity: (width = NULL, height = NULL)
So when the plot is generated the second time around, rather than using the original values, it uses the current values of x and y.
I think you should use the data argument in qplot, i.e., store your vectors in a data frame.
See Hadley's book, Section 4.4:
The restriction on the data is simple: it must be a data frame. This is restrictive, and unlike other graphics packages in R. Lattice functions can take an optional data frame or use vectors directly from the global environment. ...
The data is stored in the plot object as a copy, not a reference. This has two
important consequences: if your data changes, the plot will not; and ggplot2 objects are entirely self-contained so that they can be save()d to disk and later load()ed and plotted without needing anything else from that session.
There is a bug in your code concerning list subscripting. It should be
pltList[[pltName]]
not
pltList[pltName]
Note:
class(pltList[1])
[1] "list"
pltList[1] is a list containing the first element of pltList.
class(pltList[[1]])
[1] "ggplot"
pltList[[1]] is the first element of pltList.
For your second question: Multi-page pdfs are easy -- see help(pdf):
onefile: logical: if true (the default) allow multiple figures in one
file. If false, generate a file with name containing the
page number for each page. Defaults to ‘TRUE’.
For your main question, I don't understand if you want to store the plot inputs in a list for later processing, or the plot outputs. If it is the latter, I am not sure that plot() returns an object you can store and retrieve.
Another suggestion regarding your second question would be to use either Sweave or Brew as they will give you complete control over how you display your multi-page pdf.
Have a look at this related question.