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Heap Sort in Design and Analysis of algorithmssamairaakram
Brief description of Heap Sort and its types.it includes Binary Tree and its types. analysis and algorithm of Heap Sort. comparison b/w Heap,Qucik and Merge Sort.
Union is clearly a constant time operation. Running time of find(i) is proportional to the height of the tree containing node i.If unions are done by weight (size), the depth of any element is never greater than log2n.
Combines the better attributes of merge sort and insertion sort.
Like merge sort, but unlike insertion sort, running time is O(nlgn).
Like insertion sort, but unlike merge sort, sorts in place.
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Introduction to use machine learning in python and pascal to do such a thing like train prime numbers when there are algorithms in place to determine prime numbers. See a dataframe, feature extracting and a few plots to re-search for another hot experiment to predict prime numbers.
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MCG reports that the more favorable market conditions expected over the next few years, helped by the winding down of pandemic restrictions and a hybrid working environment will be driving market momentum forward. The continuous injection of capital by alternative investment firms, as well as the growing infrastructural investment from cloud service providers and social media companies, whose revenues are expected to grow over 3.6x larger by value in 2026, will likely help propel center provision and innovation. These factors paint a promising picture for the industry players that offset rising input costs and adapt to new technologies.
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Data mining for the masses, Chapter 4, Using R instead of Rapidminer
1. Using R in Data mining for the masses,
Chapter 4
Ulrik Hørlyk Hjort
April 5, 2014
1 Modeling
In the following text “the book” will refer to the the book: “Data Mining for
the masses”
1.1 Correlation Matrix
The only execise in chapter 4 is how to create an correlation matrix on a
data set with with Rapidminer. This is easily done in R. Fiest we import
the data set for chapter 4:
data = read.csv(‘‘Chapter04DataSet.csv’’, sep=’’,’’,header = TRUE)
The we use the buildin cor() function in R to get the correlation matrix on
our data frame:
> cor(data)
Insulation Temperature Heating_Oil Num_Occupants Avg_Age
Insulation 1.00000000 -0.79369606 0.73609688 -0.01256684 0.64298171
Temperature -0.79369606 1.00000000 -0.77365974 0.01251864 -0.67257949
Heating_Oil 0.73609688 -0.77365974 1.00000000 -0.04163508 0.84789052
Num_Occupants -0.01256684 0.01251864 -0.04163508 1.00000000 -0.04803415
Avg_Age 0.64298171 -0.67257949 0.84789052 -0.04803415 1.00000000
Home_Size 0.20071164 -0.21393926 0.38119082 -0.02253438 0.30655725
Home_Size
Insulation 0.20071164
Temperature -0.21393926
Heating_Oil 0.38119082
Num_Occupants -0.02253438
Avg_Age 0.30655725
Home_Size 1.00000000
1
2. which is equal to the correlation matrix shown in Figure 4-4 in the book
2
3. 1.2 Correlation plot
Execise 9 in chapter 4 shows an example of a scatter plot between the Insu-
lation and Heating Oil attributes. A equivalent scatter plot can be done in
R in the following way:
plot(data$Insulation,data$Heating_Oil,col="blue",type="p", pch=20, cex=.5)
Which generate the following plot:1
1
Use the R help function help(plot) to get an complete list and explanation of the
different arguments it takes
3
5. To prevent the overplotting we can add jitter to the x-axis:
plot(jitter(data$Insulation),data$Heating_Oil,col=’’blue’’,type=’’p’’, pch=20, cex=.5)
5
6. The plotting can be made more structured by first create a subset data frame
with the attributes we wish to plot:
dd <- data.frame(jitter(data$Insulation),data$Heating_Oil)
And then:
plot(dd)
1.3 3D Scatter plot
It is possible to make 3D scatter plots in R with the library “scatterplot3D”.
If the library is not installed on the system install it with the following
command in the R environment and follow the instrctions given.
install.packages(‘‘scatterplot3d’’)
When the library is installed import it with:
library(scatterplot3d)
And create a 3D scatter plot like the one at Figure 4-9 in the book:
scatterplot3d(data$Insulation,data$Heating_Oil,data$Temperature,pch=20,highlight.3d=T)
Which gives the following plot:
6