Chapter 3 Clustering
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1 Chapter 3 Clustering Xavier Gendre M2 SE X. Gendre (M2 SE) Data Mining 1 / 20
2 Distance data set Amiens Andorre Angers Bâle LaBaule Besançon Bor Amiens Andorre Angers Bâle LaBaule Besançon Bordeaux X. Gendre (M2 SE) Data Mining 2 / 20
3 X. Gendre (M2 SE) Data Mining 3 / 20
4 K <- 5 start <- sample(1:47, K) VilleNom[start] ## [1] "Nice" "Rouen" "Orléans" "Reims" "LeHavre" X. Gendre (M2 SE) Data Mining 4 / 20
5 K-means (no variant) : 5 steps X. Gendre (M2 SE) Data Mining 5 / 20
6 K-means (variant 1) : 3 steps X. Gendre (M2 SE) Data Mining 6 / 20
7 K-means (variant 2) : 4 steps X. Gendre (M2 SE) Data Mining 7 / 20
8 Single linkage Chamonix Genève Grenoble Lyon Bordeaux Royan Luxembourg Metz Nancy Reims Troyes Cherbourg Caen Amiens LeHavre Rouen Bruxelles Lille Boulogne Calais Paris Limoges Rennes StMalo Bourges Orléans Poitiers LeMans Tours Angers LaBaule Nantes Besançon Dijon Strasbourg Bâle Mulhouse Clermont Marseille Andorre Montpellier Perpignan Hendaye Lourdes Toulouse Nice Brest X. Gendre (M2 SE) Data Mining 8 / 20
9 Group average linkage Marseille Nice Hendaye Bordeaux Royan Montpellier Perpignan Andorre Lourdes Toulouse Chamonix Genève Grenoble Lyon Besançon Dijon Luxembourg Metz Nancy Strasbourg Bâle Mulhouse Cherbourg Caen LeHavre Rouen Paris Reims Troyes Bruxelles Lille Amiens Boulogne Calais Brest Rennes StMalo LaBaule Nantes Clermont Limoges Poitiers Angers LeMans Tours Bourges Orléans X. Gendre (M2 SE) Data Mining 9 / 20
10 Complete linkage Marseille Nice Hendaye Montpellier Perpignan Andorre Lourdes Toulouse Besançon Dijon Chamonix Genève Grenoble Lyon Strasbourg Bâle Mulhouse Luxembourg Metz Nancy Reims Troyes Boulogne Calais Bruxelles Lille Caen Cherbourg LeHavre Rouen Amiens Paris Brest Rennes StMalo LaBaule Nantes Angers LeMans Tours Bourges Orléans Clermont Bordeaux Royan Limoges Poitiers X. Gendre (M2 SE) Data Mining 10 / 20
11 Ward distance Luxembourg Metz Nancy Reims Troyes Besançon Dijon Strasbourg Bâle Mulhouse Marseille Nice Chamonix Genève Grenoble Lyon Hendaye Bordeaux Royan Montpellier Perpignan Andorre Lourdes Toulouse Boulogne Calais Bruxelles Lille Caen Cherbourg LeHavre Rouen Amiens Paris Brest Rennes StMalo LaBaule Nantes Clermont Limoges Poitiers Angers LeMans Tours Bourges Orléans X. Gendre (M2 SE) Data Mining 11 / 20
12 Ward distance - 3 clusters Luxembourg Metz Nancy Reims Troyes Besançon Dijon Strasbourg Bâle Mulhouse Marseille Nice Chamonix Genève Grenoble Lyon Hendaye Bordeaux Royan Montpellier Perpignan Andorre Lourdes Toulouse Boulogne Calais Bruxelles Lille Caen Cherbourg LeHavre Rouen Amiens Paris Brest Rennes StMalo LaBaule Nantes Clermont Limoges Poitiers Angers LeMans Tours Bourges Orléans X. Gendre (M2 SE) Data Mining 12 / 20
13 Ward distance - 4 clusters Luxembourg Metz Nancy Reims Troyes Besançon Dijon Strasbourg Bâle Mulhouse Marseille Nice Chamonix Genève Grenoble Lyon Hendaye Bordeaux Royan Montpellier Perpignan Andorre Lourdes Toulouse Boulogne Calais Bruxelles Lille Caen Cherbourg LeHavre Rouen Amiens Paris Brest Rennes StMalo LaBaule Nantes Clermont Limoges Poitiers Angers LeMans Tours Bourges Orléans X. Gendre (M2 SE) Data Mining 13 / 20
14 Ward distance - 9 clusters Luxembourg Metz Nancy Reims Troyes Besançon Dijon Strasbourg Bâle Mulhouse Marseille Nice Chamonix Genève Grenoble Lyon Hendaye Bordeaux Royan Montpellier Perpignan Andorre Lourdes Toulouse Boulogne Calais Bruxelles Lille Caen Cherbourg LeHavre Rouen Amiens Paris Brest Rennes StMalo LaBaule Nantes Clermont Limoges Poitiers Angers LeMans Tours Bourges Orléans X. Gendre (M2 SE) Data Mining 14 / 20
15 Ward distance - Choice? Luxembourg Metz Nancy Reims Troyes Besançon Dijon Strasbourg Bâle Mulhouse Marseille Nice Chamonix Genève Grenoble Lyon Hendaye Bordeaux Royan Montpellier Perpignan Andorre Lourdes Toulouse Boulogne Calais Bruxelles Lille Caen Cherbourg LeHavre Rouen Amiens Paris Brest Rennes StMalo LaBaule Nantes Clermont Limoges Poitiers Angers LeMans Tours Bourges Orléans X. Gendre (M2 SE) Data Mining 15 / 20
16 X. Gendre (M2 SE) Data Mining 16 / 20
17 Hierarchical clustering : 4 clusters X. Gendre (M2 SE) Data Mining 17 / 20
18 Hierarchical clustering : 9 clusters X. Gendre (M2 SE) Data Mining 18 / 20
19 Hierarchical clustering : 22 clusters X. Gendre (M2 SE) Data Mining 19 / 20
20 Bibliography The Elements of Statistical Learning : Data Mining, Inference and Prediction, J. Friedman, T. Hastie and R. Tibshirani (2009) Wiki Stat, Quick-R, X. Gendre (M2 SE) Data Mining 20 / 20
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