library(dbscan)
## Warning: package 'dbscan' was built under R version 4.5.3
## 
## Attaching package: 'dbscan'
## The following object is masked from 'package:stats':
## 
##     as.dendrogram
data <- read.csv("C:/Semester 5/Pembelajaran Mesin Statistika/two_moons_X_only.csv")
summary(data)
##        x                  y          
##  Min.   :-1.17104   Min.   :-0.6855  
##  1st Qu.:-0.06955   1st Qu.:-0.2025  
##  Median : 0.50623   Median : 0.2513  
##  Mean   : 0.49937   Mean   : 0.2506  
##  3rd Qu.: 1.05163   3rd Qu.: 0.6979  
##  Max.   : 2.20284   Max.   : 1.2222
M <- as.matrix(data[, c("x", "y")])
#DBSCAN
h <- dbscan(M, eps = 0.15, minPts = 5)
#menentukan cluster
data$cluster <- h$cluster
#menentukan core point
data$core <- is.corepoint(M, eps = 0.15, minPts = 5)
#jenis titik
data$jenis <- ifelse(data$core, "Core",
                     ifelse(data$cluster > 0, "Border", "Noise"))
print(data)
##                  x             y cluster  core  jenis
## 1     1.8024007331  0.1695354869       1  TRUE   Core
## 2     0.4071627466  0.9234600342       2  TRUE   Core
## 3     0.4962463537 -0.3278621376       1  TRUE   Core
## 4    -0.9504802266  0.1886795853       2  TRUE   Core
## 5     0.4650315918 -0.3282850941       1  TRUE   Core
## 6     0.2219100227 -0.2911209649       1  TRUE   Core
## 7    -0.8615963903  0.2586723844       2  TRUE   Core
## 8     1.6374907888 -0.2744428047       1  TRUE   Core
## 9     0.9534505347  0.3691272907       2  TRUE   Core
## 10    0.5035723140 -0.3154727894       1  TRUE   Core
## 11    1.0669561731  0.1942995760       2  TRUE   Core
## 12    0.3720756791 -0.3102562918       1  TRUE   Core
## 13    0.0623352837  0.1344010073       1  TRUE   Core
## 14   -0.2044036510  0.9690566396       2  TRUE   Core
## 15    0.4431097473  0.9166682728       2  TRUE   Core
## 16    0.6550810196  0.6011112709       2  TRUE   Core
## 17   -0.6265368507  0.7420157145       2  TRUE   Core
## 18    0.9999150434  0.1600436225       2  TRUE   Core
## 19    1.6116488191 -0.4069068939       1  TRUE   Core
## 20    1.9836942002 -0.0291791999       1  TRUE   Core
## 21   -0.4726049475  0.7689004881       2  TRUE   Core
## 22    1.4446417848 -0.2160304833       1  TRUE   Core
## 23    1.9831437572  0.4608195807       1  TRUE   Core
## 24    0.1034764112  0.2815949816       1  TRUE   Core
## 25    1.9828594339  0.2894114967       1  TRUE   Core
## 26    1.1442005523  0.3017145158       2  TRUE   Core
## 27    0.1703810787  0.0504045913       1  TRUE   Core
## 28   -0.9055067968  0.2048061360       2  TRUE   Core
## 29   -0.7444036473  0.5145104832       2  TRUE   Core
## 30    1.1265189225 -0.0006366088       2  TRUE   Core
## 31   -0.3689794266  0.8591150634       2  TRUE   Core
## 32   -0.9902106422  0.1984004756       2  TRUE   Core
## 33   -0.2003147889  1.0078755408       2  TRUE   Core
## 34   -0.8293423868  0.3215793102       2  TRUE   Core
## 35    0.0119469039  0.3281934190       1  TRUE   Core
## 36    0.2501942388  0.8897001017       2  TRUE   Core
## 37    1.3853757304 -0.3852016861       1  TRUE   Core
## 38    0.3640087216 -0.1806570939       1  TRUE   Core
## 39    0.0179284928  0.2672089309       1  TRUE   Core
## 40    0.6837475866  0.7177402473       2  TRUE   Core
## 41    0.8372270357  0.2649357275       2  TRUE   Core
## 42    2.1020364732  0.2077516835       1  TRUE   Core
## 43    0.6250103558  0.5376096832       2  TRUE   Core
## 44   -0.3167640109  0.8582231633       2  TRUE   Core
## 45    1.3451135905 -0.3961025082       1  TRUE   Core
## 46   -0.9074045167  0.7031625826       2  TRUE   Core
## 47    0.0549578951  0.9737353636       2  TRUE   Core
## 48   -1.1407159933  0.5223387763       2  TRUE   Core
## 49    0.8647029207  0.0867261665       2  TRUE   Core
## 50    1.4164275679 -0.2471722690       1  TRUE   Core
## 51    1.2127679524 -0.4496689899       1  TRUE   Core
## 52    0.7607756899  0.7692385815       2  TRUE   Core
## 53    0.9056776875 -0.4654134130       1  TRUE   Core
## 54    0.7942124284  0.6133762317       2  TRUE   Core
## 55   -1.0205318525  0.2568088771       2  TRUE   Core
## 56    1.5530890948 -0.2330791689       1  TRUE   Core
## 57    0.2011361498 -0.2824929515       1  TRUE   Core
## 58    1.5937496027 -0.2037129586       1  TRUE   Core
## 59    0.2328305904 -0.1672425198       1  TRUE   Core
## 60    0.3427353553  0.9819014578       2  TRUE   Core
## 61    0.8381618924 -0.5145002550       1  TRUE   Core
## 62   -0.4883131704  0.7690773339       2  TRUE   Core
## 63    1.3812865183 -0.5346110669       1  TRUE   Core
## 64   -0.0091975559  0.2493406704       1  TRUE   Core
## 65    1.8718485509  0.4975100864       1  TRUE   Core
## 66    1.8863456442  0.0841948590       1  TRUE   Core
## 67   -0.9813749189  0.1468591271       2  TRUE   Core
## 68    1.0493170549 -0.5335799355       1  TRUE   Core
## 69    0.9494764210  0.3854839856       2  TRUE   Core
## 70    0.9646097110 -0.4959801569       1  TRUE   Core
## 71    0.7981309670 -0.5423594631       1  TRUE   Core
## 72    0.2460127301  1.0736029031       2  TRUE   Core
## 73    0.5777489726 -0.5019194056       1  TRUE   Core
## 74   -0.0430884916  0.4025931298       1  TRUE   Core
## 75   -0.7433725359  0.7940251720       2  TRUE   Core
## 76    0.4704280336  0.8738486707       2  TRUE   Core
## 77    1.3118572351 -0.2539136887       1  TRUE   Core
## 78   -0.8808842136  0.6431693387       2  TRUE   Core
## 79    0.4525491416  0.9488107563       2  TRUE   Core
## 80    1.8292014713 -0.0466902992       1  TRUE   Core
## 81    0.9800554881  0.2035279806       2  TRUE   Core
## 82   -0.8248308722  0.6087006931       2  TRUE   Core
## 83    0.9035357709 -0.6082383494       1  TRUE   Core
## 84    1.1665856138 -0.2784310060       1  TRUE   Core
## 85    1.5021770612 -0.1929523117       1  TRUE   Core
## 86    1.0541111794 -0.5410734995       1  TRUE   Core
## 87    1.8523117692  0.0394376948       1  TRUE   Core
## 88    0.0372301333  0.9814287604       2  TRUE   Core
## 89    0.5877828419  0.6918922549       2  TRUE   Core
## 90    1.3954513024 -0.4922524345       1  TRUE   Core
## 91    1.1794709532 -0.5458546649       1  TRUE   Core
## 92    1.6793775963 -0.3751439569       1  TRUE   Core
## 93    0.8162204980  0.6801110512       2  TRUE   Core
## 94    0.4351343249  0.8339216560       2  TRUE   Core
## 95    2.0335296567  0.0494155994       1  TRUE   Core
## 96    2.0006163082  0.0348838495       1  TRUE   Core
## 97   -0.5150085854  0.8841773404       2  TRUE   Core
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## 100   1.9907716311  0.1746867541       1  TRUE   Core
## 101  -0.9750270921  0.1857469581       2  TRUE   Core
## 102  -1.0586643920  0.1177547588       2  TRUE   Core
## 103   0.3071970308  1.0242552222       2  TRUE   Core
## 104   0.5165352128 -0.4435287829       1  TRUE   Core
## 105   0.8276504278  0.6941402703       2  TRUE   Core
## 106  -0.7440911379  0.3999408220       2  TRUE   Core
## 107  -0.3545727423  0.9043276558       2  TRUE   Core
## 108   0.7037564667  0.7086696320       2  TRUE   Core
## 109  -0.2868485690  1.0156898630       2  TRUE   Core
## 110  -0.2023636642  0.8837256172       2  TRUE   Core
## 111  -0.9006768447  0.6977656914       2  TRUE   Core
## 112   0.6612745540 -0.6403592003       1  TRUE   Core
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## 115  -0.7219054182  0.6771859182       2  TRUE   Core
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## 117   0.0733925231  0.2074621096       1  TRUE   Core
## 118  -1.0501064899  0.1610354898       2  TRUE   Core
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## 120   1.3686376083 -0.5173448111       1  TRUE   Core
## 121   1.8562473605 -0.0210142317       1  TRUE   Core
## 122   0.0932731176  0.4250069872       1  TRUE   Core
## 123   0.0540774246  0.2352482535       1  TRUE   Core
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## 1908  0.1606648222  0.2152776481       1  TRUE   Core
## 1909 -0.2727177758  1.0168902063       2  TRUE   Core
## 1910  0.7819188367 -0.5011644449       1  TRUE   Core
## 1911 -0.0595619422  0.5627701596       1  TRUE   Core
## 1912  0.0212885077  0.4723399485       1  TRUE   Core
## 1913  0.6595035604 -0.5590640676       1  TRUE   Core
## 1914  1.9014373069  0.1688249453       1  TRUE   Core
## 1915  1.1805094706 -0.4648579315       1  TRUE   Core
## 1916 -0.0820737039  0.0891428625       1  TRUE   Core
## 1917  0.8529703186  0.6492388758       2  TRUE   Core
## 1918  0.9629392445  0.0252963206       2  TRUE   Core
## 1919 -0.8441788061  0.6177314220       2  TRUE   Core
## 1920  0.0248343946  1.0739024230       2  TRUE   Core
## 1921  0.8083483365 -0.5806707847       1  TRUE   Core
## 1922  0.9538671384 -0.5635979868       1  TRUE   Core
## 1923  1.9543841888  0.5149510645       1  TRUE   Core
## 1924  0.7285855095 -0.4286575605       1  TRUE   Core
## 1925  0.8575782103  0.2991928459       2  TRUE   Core
## 1926  0.6688175721 -0.4393260711       1  TRUE   Core
## 1927 -0.8409059329  0.4187105617       2  TRUE   Core
## 1928 -0.0683489411  1.0039187495       2  TRUE   Core
## 1929  0.6480259847 -0.3038310187       1  TRUE   Core
## 1930 -0.7282277454  0.6050947073       2  TRUE   Core
## 1931  0.6904102911  0.7064688849       2  TRUE   Core
## 1932  0.8959195506  0.0294094862       2  TRUE   Core
## 1933  0.6359183739  0.6610505009       2  TRUE   Core
## 1934 -0.1880523689  1.0402616948       2  TRUE   Core
## 1935  0.3096677822  0.9815400931       2  TRUE   Core
## 1936  0.4056186418 -0.2055979009       1  TRUE   Core
## 1937  0.9454251687  0.3866320134       2  TRUE   Core
## 1938 -0.8305952187  0.4629869340       2  TRUE   Core
## 1939  1.0046493829  0.0045995380       2  TRUE   Core
## 1940 -0.3047278772  0.9789446693       2  TRUE   Core
## 1941  1.8213925494 -0.0806770711       1  TRUE   Core
## 1942  0.9958732743 -0.4648825560       1  TRUE   Core
## 1943  0.1342105278  0.1346708942       1  TRUE   Core
## 1944  1.1526986540 -0.4184208440       1  TRUE   Core
## 1945 -0.8375087925  0.3929356574       2  TRUE   Core
## 1946  0.3166168986 -0.1595988667       1  TRUE   Core
## 1947  1.2766505147 -0.4195271649       1  TRUE   Core
## 1948  1.9254594263  0.1082989907       1  TRUE   Core
## 1949 -0.2051506129  1.0054707127       2  TRUE   Core
## 1950  1.9361740398  0.3307682786       1  TRUE   Core
## 1951 -0.6286009939  0.9224260270       2  TRUE   Core
## 1952 -1.0148467061  0.2479157324       2  TRUE   Core
## 1953  0.9508094773  0.5534911090       2  TRUE   Core
## 1954  1.7407244951 -0.2372238208       1  TRUE   Core
## 1955 -1.1149161781 -0.0345047214       2  TRUE   Core
## 1956 -0.4767441768  0.8188371303       2  TRUE   Core
## 1957  1.0295959939 -0.6776324445       1  TRUE   Core
## 1958  1.5063543667 -0.2273851566       1  TRUE   Core
## 1959 -0.0100718137  0.9876784755       2  TRUE   Core
## 1960  0.0782516304  0.3758437481       1  TRUE   Core
## 1961  0.0624214887  1.0023360244       2  TRUE   Core
## 1962  1.2780217680 -0.2735321979       1  TRUE   Core
## 1963 -1.0685271625  0.4893509223       2  TRUE   Core
## 1964 -0.7112700557  0.7574340235       2  TRUE   Core
## 1965  0.6494960715  0.7081750830       2  TRUE   Core
## 1966  1.0547330319  0.3150243097       2  TRUE   Core
## 1967  0.5755758547 -0.4400914459       1  TRUE   Core
## 1968  0.0931170452  0.9556273066       2  TRUE   Core
## 1969  0.0191368074 -0.0732860908       1  TRUE   Core
## 1970  0.7050202844  0.6610652648       2  TRUE   Core
## 1971 -0.9065637383  0.1769493237       2  TRUE   Core
## 1972  0.1612538434 -0.1370925478       1  TRUE   Core
## 1973  0.4802077652  0.9945551306       2  TRUE   Core
## 1974 -0.8189000355  0.5539175893       2  TRUE   Core
## 1975  0.8108456379 -0.5216880019       1  TRUE   Core
## 1976  0.8803441696 -0.3354380414       1  TRUE   Core
## 1977  0.4849490499  0.9131700933       2  TRUE   Core
## 1978 -0.7542651735  0.6030448958       2  TRUE   Core
## 1979  0.4824050959 -0.4924003364       1  TRUE   Core
## 1980  1.7329889130 -0.4333837081       1  TRUE   Core
## 1981  0.8350348859  0.3623023137       2  TRUE   Core
## 1982  1.6591064607 -0.3299811624       1  TRUE   Core
## 1983 -1.0189650983  0.4920911216       2  TRUE   Core
## 1984  0.1323601431  0.1658455323       1  TRUE   Core
## 1985  0.7374948147 -0.2559482947       1  TRUE   Core
## 1986  1.1376141319  0.2152544934       2  TRUE   Core
## 1987  1.0749056698 -0.4678326167       1  TRUE   Core
## 1988  0.5480755606  0.7258881614       2  TRUE   Core
## 1989  0.2536229073 -0.2455278786       1  TRUE   Core
## 1990  0.1713986498  1.0801423958       2  TRUE   Core
## 1991  0.7625152398  0.3696342447       2  TRUE   Core
## 1992  1.5116545266 -0.4215740798       1  TRUE   Core
## 1993  0.0678827412  0.3901658994       1  TRUE   Core
## 1994  1.6761230229 -0.2826725239       1  TRUE   Core
## 1995 -0.0530315919  0.1159517329       1  TRUE   Core
## 1996  0.1391560125  0.1040336104       1  TRUE   Core
## 1997  0.3867273394 -0.3322627421       1  TRUE   Core
## 1998 -0.9303903588  0.5070835996       2  TRUE   Core
## 1999  0.8461626537 -0.5991856123       1  TRUE   Core
## 2000  0.1369722572  0.0976603079       1  TRUE   Core
table(data$cluster)
## 
##    0    1    2 
##    1 1001  998
table(data$jenis)
## 
## Border   Core  Noise 
##      3   1996      1
# Plot hasil clustering
plot(M,
     col = ifelse(data$cluster == 0, "red", "blue"),
     pch = 19,
     cex = 1,
     xlab = "X",
     ylab = "Y",
     main = "Hasil Clustering DBSCAN")

legend("topright",
       legend = c("Cluster", "Noise"),
       col = c("blue", "red"),
       pch = 19)

#plot berdasarkan jenis titik
plot(M,
     col = ifelse(data$jenis == "Core", "blue",
                  ifelse(data$jenis == "Border", "green", "red")),
     pch = 19,
     cex = 1,
     xlab = "X",
     ylab = "Y",
     main = "Jenis Titik pada DBSCAN")

legend("topright",
       legend = c("Core Point", "Border Point", "Noise"),
       col = c("blue", "green", "red"),
       pch = 19)

#eksperimen parameter DBSCAN 
# Kombinasi parameter
kombinasi <- expand.grid(
  eps = c(0.10, 0.15, 0.20, 0.25, 0.30),
  minPts = c(3, 5, 7, 10)
)

# Menyiapkan tabel hasil
hasil_eksperimen <- data.frame()

# Melakukan eksperimen
for (i in 1:nrow(kombinasi)) {
  
  model <- dbscan(
    M,
    eps = kombinasi$eps[i],
    minPts = kombinasi$minPts[i]
  )
  
  jumlah_cluster <- length(setdiff(unique(model$cluster), 0))
  jumlah_noise <- sum(model$cluster == 0)
  
  hasil_eksperimen <- rbind(
    hasil_eksperimen,
    data.frame(
      eps = kombinasi$eps[i],
      minPts = kombinasi$minPts[i],
      jumlah_cluster = jumlah_cluster,
      jumlah_noise = jumlah_noise
    )
  )
}

# Menampilkan hasil eksperimen
print(hasil_eksperimen)
##     eps minPts jumlah_cluster jumlah_noise
## 1  0.10      3              2            4
## 2  0.15      3              2            1
## 3  0.20      3              1            0
## 4  0.25      3              1            0
## 5  0.30      3              1            0
## 6  0.10      5              2            5
## 7  0.15      5              2            1
## 8  0.20      5              1            0
## 9  0.25      5              1            0
## 10 0.30      5              1            0
## 11 0.10      7              2            7
## 12 0.15      7              2            1
## 13 0.20      7              1            0
## 14 0.25      7              1            0
## 15 0.30      7              1            0
## 16 0.10     10              2           10
## 17 0.15     10              2            1
## 18 0.20     10              1            0
## 19 0.25     10              1            0
## 20 0.30     10              1            0
#membandingkan hasil eksperimen
hasil_eksperimen[
  order(hasil_eksperimen$eps, hasil_eksperimen$minPts),
]
##     eps minPts jumlah_cluster jumlah_noise
## 1  0.10      3              2            4
## 6  0.10      5              2            5
## 11 0.10      7              2            7
## 16 0.10     10              2           10
## 2  0.15      3              2            1
## 7  0.15      5              2            1
## 12 0.15      7              2            1
## 17 0.15     10              2            1
## 3  0.20      3              1            0
## 8  0.20      5              1            0
## 13 0.20      7              1            0
## 18 0.20     10              1            0
## 4  0.25      3              1            0
## 9  0.25      5              1            0
## 14 0.25      7              1            0
## 19 0.25     10              1            0
## 5  0.30      3              1            0
## 10 0.30      5              1            0
## 15 0.30      7              1            0
## 20 0.30     10              1            0