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Кластеризация регионов РФ в Julia
Кластеризация регионов РФ в Julia
Автор
alexsarРешение задачи кластеризации регионов РФ по типу экономики
с выбором числа кластеров
1. Ввод исходных данных, нормализация данных и реализация алгоритма kmeans
In [ ]:
using RDatasets, Clustering, Plots, PlotThemes
using DataFrames, Query
import XLSX
using StatsPlots
using Random
Random.seed!(123)
#ввод социально-экономических показателей регионов РФ
Regdata = XLSX.readxlsx("/user/Clasters/REG_RU.xlsx")
Regtab1 = Regdata["dan02"]
Regtab00 = Regtab1[2:82, 5:7]
Regtab00 = Float64.(Regtab00)
XX = Regtab00
#нормирование значений элементов массива XX
XX1 = XX[:, 1]
XX2 = XX[:, 2]
XX3 = XX[:, 3]
SUMX = XX1 + XX2 + XX3
XX[:, 1] = (XX[:, 1] ./ SUMX) .* 100
XX[:, 2] = (XX[:, 2] ./ SUMX) .* 100
XX[:, 3] = (XX[:, 3] ./ SUMX) .* 100
XX[:, 1:3]
Reg = Regtab1[2:82, 1]
print("Введите число кластеров:2,3,4,5,6,7, 8 \n")
num = readline()
Ncl = tryparse(Int64, num)
println("Число заданных кластеров = ", Ncl)
#Ncl=6
#println("Число заданных кластеров = ", Ncl)
XXtr = transpose(XX[:, 1:3])
result = kmeans(XXtr, Ncl); # запустить K-средних для Ncl кластеров
Y = result.assignments[:, 1] # получить назначения точек кластерам
c = counts(result) # получить размеры кластеров
M = result.centers # получить центры кластеров
#println(Y)
println("Размеры кластеров\n $c")
println("Центры кластеров:")
for i in 1:3
println("$(M[i,1:Ncl])")
end
Tab = hcat(Reg, XX, Y)
Tabdf = DataFrame(Tab, :auto)
Tabdf = Tabdf[1:81, :]
Tabdf.x1 = convert(Vector{String}, Tabdf.x1)
Tabdf.x2 = convert(Vector{Float64}, Tabdf.x2)
Tabdf.x3 = convert(Vector{Float64}, Tabdf.x3)
Tabdf.x4 = convert(Vector{Float64}, Tabdf.x4)
Tabdf.x5 = convert(Vector{Int64}, Tabdf.x5)
Tabdf[:, 2:4] = @.round(Tabdf[:, 2:4]);
global Tabdf;
Число заданных кластеров = 6 Размеры кластеров [11, 6, 21, 9, 6, 28] Центры кластеров: [20.721928264237473, 71.3905021278264, 3.1108902249773474, 42.573034975330785, 3.081844943227313, 2.1378528370841474] [5.2287259003319875, 9.02945477613967, 30.78014714497308, 7.9203633411604795, 66.09617828206524, 8.80708768326089] [74.04934583543053, 19.58004309603393, 66.10896263004958, 49.50660168350875, 30.82197677470744, 89.05505947965499]
2.Графическое представление результатов решения задачи кластеризации
In [ ]:
dfM1 = DataFrame(M', [:x2, :x3, :x4])
colkl = floor.(Int, Tabdf.x5);
plotly()
theme(:dao)
scatter(Tabdf.x2, Tabdf.x3, Tabdf.x4, legend= false, wsize=(1000, 650),
hovers=Tabdf.x1, color=colkl, ms=4, ma=0.7)
for i in 1:Ncl
#@show [dfM[i, 1] dfM[i, 2] dfM[i, 3]]
clast = string(i)
Centr = "Центр кластера" * " " * clast
scatter!([dfM1.x2[i]],[dfM1.x3[i]],[dfM1.x4[i]], hovers=Centr, mc=:black, ms=5, ma=0.9)
end
titstr = "Кластеризация регионов РФ по структуре производства (алгоритм kmeans)." * " " * "Число кластеров= $Ncl"
xlabel!("PI_N %")
ylabel!("Pcx_N %")
zlabel!("PP_N %")
title!(titstr)
#legend = :topleft
Out[0]:
3.Табличное представление результатов решения задачи кластеризации
In [ ]:
Tab=Tabdf
Tab = select(Tab, "x1" => "Регион", "x2" => "Добыча %", "x3" => "Агро % ", "x4" => "Индустрия %", "x5" => "Кластер")
@show Tab;
Tab = 81×5 DataFrame
Row │ Регион Добыча % Агро % Индустрия % Кластер
│ String Float64 Float64 Float64 Int64
─────┼──────────────────────────────────────────────────────────────────────────
1 │ Белгородская область 15.0 23.0 62.0 3
2 │ Брянская область 0.0 26.0 74.0 3
3 │ Владимирская область 1.0 5.0 94.0 6
4 │ Воронежская область 1.0 27.0 72.0 3
5 │ Ивановская область 1.0 8.0 91.0 6
6 │ Калужская область 0.0 6.0 94.0 6
7 │ Костромская область 1.0 10.0 90.0 6
8 │ Курская область 19.0 34.0 47.0 3
9 │ Липецкая область 1.0 18.0 82.0 6
10 │ Московская область 0.0 3.0 96.0 6
11 │ Орловская область 0.0 42.0 58.0 3
12 │ Рязанская область 0.0 18.0 81.0 6
13 │ Смоленская область 1.0 9.0 90.0 6
14 │ Тамбовская область 0.0 46.0 54.0 3
15 │ Тверская область 0.0 8.0 91.0 6
16 │ Тульская область 1.0 9.0 90.0 6
17 │ Ярославская область 0.0 8.0 92.0 6
18 │ г. Москва 11.0 0.0 89.0 6
19 │ Республика Карелия 36.0 2.0 62.0 4
20 │ Республика Коми 55.0 2.0 42.0 4
21 │ Архангельская область 48.0 2.0 50.0 4
22 │ Вологодская область 0.0 4.0 95.0 6
23 │ Калининградская область 2.0 7.0 91.0 6
24 │ Ленинградская область 1.0 7.0 92.0 6
25 │ Мурманская область 20.0 0.0 80.0 1
26 │ Новгородская область 0.0 10.0 90.0 6
27 │ Псковская область 1.0 26.0 72.0 3
28 │ г. Санкт-Петербург 1.0 0.0 99.0 6
29 │ Республика Адыгея 3.0 35.0 62.0 3
30 │ Республика Калмыкия 0.0 85.0 15.0 5
31 │ Республика Крым 6.0 24.0 70.0 3
32 │ Краснодарский край 2.0 29.0 69.0 3
33 │ Астраханская область 61.0 13.0 26.0 2
34 │ Волгоградская область 3.0 17.0 80.0 6
35 │ Ростовская область 2.0 24.0 73.0 3
36 │ Республика Дагестан 2.0 70.0 28.0 5
37 │ Республика Ингушетия 6.0 77.0 17.0 5
38 │ Кабардино-Балкарская республика 0.0 55.0 45.0 5
39 │ Карачаево-Черкесская республика 4.0 45.0 51.0 3
40 │ Республика Северная Осетия 1.0 49.0 50.0 3
41 │ Чеченская Республика 6.0 49.0 45.0 5
42 │ Ставропольский край 2.0 32.0 66.0 3
43 │ Республика Башкортостан 12.0 11.0 76.0 1
44 │ Республика Марий Эл 0.0 22.0 77.0 3
45 │ Республика Мордовия 0.0 24.0 76.0 3
46 │ Республика Татарстан 20.0 9.0 71.0 1
47 │ Удмуртская Республика 29.0 11.0 59.0 4
48 │ Чувашская Республика 0.0 15.0 84.0 6
49 │ Пермский край 19.0 3.0 78.0 1
50 │ Кировская область 0.0 14.0 85.0 6
51 │ Нижегородская область 0.0 5.0 94.0 6
52 │ Оренбургская область 48.0 14.0 38.0 4
53 │ Пензенская область 0.0 31.0 68.0 3
54 │ Самарская область 17.0 8.0 76.0 1
55 │ Саратовская область 5.0 25.0 70.0 3
56 │ Ульяновская область 4.0 15.0 81.0 6
57 │ Курганская область 2.0 24.0 75.0 3
58 │ Свердловская область 4.0 4.0 93.0 6
59 │ Тюменская область 73.0 1.0 26.0 2
60 │ Челябинская область 8.0 6.0 86.0 6
61 │ Республика Алтай 5.0 60.0 36.0 5
62 │ Республика Тыва 54.0 26.0 20.0 2
63 │ Республика Хакасия 29.0 6.0 65.0 1
64 │ Алтайский край 2.0 28.0 70.0 3
65 │ Красноярский край 24.0 4.0 72.0 1
66 │ Иркутская область 42.0 5.0 52.0 4
67 │ Кемеровская область 48.0 4.0 48.0 4
68 │ Новосибирская область 7.0 13.0 80.0 6
69 │ Омская область 0.0 10.0 90.0 6
70 │ Томская область 30.0 9.0 61.0 4
71 │ Республика Бурятия 26.0 9.0 65.0 1
72 │ Республика Саха (Якутия) 86.0 3.0 11.0 2
73 │ Забайкальский край 66.0 9.0 25.0 2
74 │ Камчатский край 16.0 5.0 78.0 1
75 │ Приморский край 6.0 12.0 82.0 6
76 │ Хабаровский край 5.0 4.0 91.0 6
77 │ Амурская область 46.0 21.0 32.0 4
78 │ Магаданская область 27.0 1.0 72.0 1
79 │ Сахалинская область 88.0 2.0 10.0 2
80 │ Еврейская автономная область 1.0 29.0 70.0 3
81 │ Чукотский автономный округ 18.0 1.0 81.0 1
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Решение задачи кластеризации регионов РФ по типу экономики с выбором числа кластеров: пакет Clustering Julia, алгоритм kmeans
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