commit e8fcca18c31d86fecbcce2e824751bd37ba07dcf Author: jakubknczny Date: Fri Jun 18 20:05:07 2021 +0200 init diff --git a/CC GENERAL.csv b/CC GENERAL.csv new file mode 100644 index 0000000..1d098a6 --- /dev/null +++ b/CC GENERAL.csv @@ -0,0 +1,8951 @@ +CUST_ID,BALANCE,BALANCE_FREQUENCY,PURCHASES,ONEOFF_PURCHASES,INSTALLMENTS_PURCHASES,CASH_ADVANCE,PURCHASES_FREQUENCY,ONEOFF_PURCHASES_FREQUENCY,PURCHASES_INSTALLMENTS_FREQUENCY,CASH_ADVANCE_FREQUENCY,CASH_ADVANCE_TRX,PURCHASES_TRX,CREDIT_LIMIT,PAYMENTS,MINIMUM_PAYMENTS,PRC_FULL_PAYMENT,TENURE +C10001,40.900749,0.818182,95.4,0,95.4,0,0.166667,0,0.083333,0,0,2,1000,201.802084,139.509787,0,12 +C10002,3202.467416,0.909091,0,0,0,6442.945483,0,0,0,0.25,4,0,7000,4103.032597,1072.340217,0.222222,12 +C10003,2495.148862,1,773.17,773.17,0,0,1,1,0,0,0,12,7500,622.066742,627.284787,0,12 +C10004,1666.670542,0.636364,1499,1499,0,205.788017,0.083333,0.083333,0,0.083333,1,1,7500,0,,0,12 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choice, seed +from sklearn.decomposition import PCA +from sklearn.preprocessing import MinMaxScaler + +seed(42) + + +def initialize_medoids(num_medoids, data): + return [data.iloc[idx] for idx in choice(len(data), size=num_medoids, replace=False)] + + +def assign_points_to_medoids(data, medoids): + return [np.argmin([distance_vec2vec(point[1], medoid) for medoid in medoids]) for point in data.iterrows()] + + +def distance_vec2vec(a, b) -> np.float64: + return sum([(abs(a[i] - b[i]) ** 2) for i in range(len(a))]) + + +def reassign_medoids(data, assignments, initial_medoids): + new_medoids = [] + for idm, medoid in enumerate(initial_medoids): + new_medoid = medoid + medoid_score = sum([distance_vec2vec(medoid, x[1]) if assignments[idx] == idm else 0 + for idx, x in enumerate(data.iterrows())]) + for point in data.iterrows(): + point_score = sum(sum([distance_vec2vec(point, x[1]) if assignments[idx] == idm else 0 + for idx, x in enumerate(data.iterrows())])) + if medoid_score > point_score: + new_medoid = point + new_medoids.append(new_medoid) + return new_medoids + + +def is_finished(old_medoids, new_medoids): + return set([tuple(om) for om in old_medoids]) == set([tuple(nm) for nm in new_medoids]) + + +def kmedoids(num_samples, num_clusters): + df = pd.read_csv('CC GENERAL.csv', index_col='CUST_ID') + df = df[:num_samples] + df_scaled = pd.DataFrame(MinMaxScaler().fit_transform(df)) + df_scaled = df_scaled.fillna(0) + + # initialize medoids (at random) + medoids = initialize_medoids(num_medoids=num_clusters, data=df_scaled) + + # assign data points to the medoids + assignments = assign_points_to_medoids(data=df_scaled, medoids=medoids) + + # fit + new_medoids = reassign_medoids(data=df_scaled, assignments=assignments, initial_medoids=medoids) + while not is_finished(old_medoids=medoids, new_medoids=new_medoids): + medoids = new_medoids + new_medoids = reassign_medoids(data=df_scaled, assignments=assignments, initial_medoids=medoids) + + new_assignments = assign_points_to_medoids(data=df_scaled, medoids=new_medoids) + data = pd.DataFrame(PCA(n_components=2).fit_transform(df_scaled), columns=['0', '1']) + data['cluster'] = new_assignments + + sns.relplot(x='0', y='1', hue='cluster', data=data, palette=sns.color_palette("husl", num_clusters)) + plt.show() + + +kmedoids(num_samples=500, num_clusters=3) diff --git a/readme.md b/readme.md new file mode 100644 index 0000000..74e3940 --- /dev/null +++ b/readme.md @@ -0,0 +1,4 @@ +# K-medoids (Partitioning Around Medoids) + +PAM k-medoids implementation for classes of Mathematical Foundations of Artificial Intelligence +and Cyber-Security at AMU Poznań. \ No newline at end of file