fix: add correct naming
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@@ -14,6 +14,7 @@ Umbau aus dem Lösungs-Notebook (lektion_1.ipynb):
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"""
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import matplotlib
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matplotlib.use("Agg") # headless: nur in Dateien rendern
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from pathlib import Path
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@@ -29,7 +30,7 @@ from scipy.spatial.distance import cdist, pdist
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# EINSTELLUNGEN / PFADE
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# =========================================================
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BASE = Path(__file__).resolve().parent.parent # .../aufgaben
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BASE = Path(__file__).resolve().parent.parent # .../aufgaben
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DATA = BASE / "data" / "data_delivery_fleet.tsv"
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PLOTS = BASE / "plots"
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PLOTS.mkdir(exist_ok=True)
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@@ -107,8 +108,10 @@ plt.close(fig)
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# ---- Within-Cluster Sum of Squares (Inertia) ----
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Ks = range(1, 10)
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inertia = [KMeans(n_clusters=k, n_init=10, random_state=RANDOM_SEED).fit(data).inertia_
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for k in Ks]
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inertia = [
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KMeans(n_clusters=k, n_init=10, random_state=RANDOM_SEED).fit(data).inertia_
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for k in Ks
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]
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fig, ax = plt.subplots()
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ax.bar(Ks, inertia)
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@@ -122,12 +125,14 @@ plt.close(fig)
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# ---- Percentage of Variance Explained ----
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# TSS = WCSS + BSS -> Variance Explained = BSS / TSS
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ks = range(1, 10)
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models = [KMeans(n_clusters=k, n_init=10, random_state=RANDOM_SEED).fit(data) for k in ks]
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models = [
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KMeans(n_clusters=k, n_init=10, random_state=RANDOM_SEED).fit(data) for k in ks
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]
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centroids = [m.cluster_centers_ for m in models]
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# Abstand jedes Punkts zum nächsten Zentrum -> WCSS pro k
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dist = [np.min(cdist(data, cent, "euclidean"), axis=1) for cent in centroids]
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wcss = np.array([np.sum(d ** 2) for d in dist])
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wcss = np.array([np.sum(d**2) for d in dist])
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tss = np.sum(pdist(data) ** 2) / data.shape[0]
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bss = tss - wcss
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@@ -143,11 +148,14 @@ plt.close(fig)
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# ---- Silhouette Score (erst ab k >= 2 definiert) ----
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ks_sil = range(2, 10)
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silhouette = [silhouette_score(
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data,
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KMeans(n_clusters=k, n_init=10, random_state=RANDOM_SEED).fit(data).labels_,
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metric="euclidean")
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for k in ks_sil]
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silhouette = [
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silhouette_score(
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data,
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KMeans(n_clusters=k, n_init=10, random_state=RANDOM_SEED).fit(data).labels_,
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metric="euclidean",
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)
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for k in ks_sil
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]
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fig, ax = plt.subplots()
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ax.plot(list(ks_sil), silhouette, marker="o")
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@@ -166,7 +174,9 @@ print(f"Bestes k nach Silhouette: {best_k}")
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# =========================================================
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k_means_final = KMeans(n_clusters=best_k, n_init=10, random_state=RANDOM_SEED).fit(data)
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save_kmeans(data, k_means_final, "07_final.png", title=f"Finales Clustering (k={best_k})")
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save_kmeans(
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data, k_means_final, "07_final.png", title=f"Finales Clustering (k={best_k})"
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)
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print(f"Plots gespeichert in: {PLOTS}")
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@@ -177,6 +187,7 @@ print(f"Plots gespeichert in: {PLOTS}")
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# Im Lösungs-Notebook enthalten, gilt aber als veraltet (vgl. Chiang & Mirkin).
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# Silhouette/Elbow werden bevorzugt -> standardmässig deaktiviert (RUN_HARTIGAN).
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def hartigan_k(data, threshold=12):
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"""'Korrekte' Clusterzahl nach Hartigan: erstes k mit H <= threshold."""
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inertia_list = np.zeros(len(data) + 1)
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@@ -186,7 +197,9 @@ def hartigan_k(data, threshold=12):
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kmn = KMeans(n_clusters=num + 1, n_init=10, random_state=RANDOM_SEED).fit(data)
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inertia_list[num + 1] = kmn.inertia_
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if num > 0:
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h_rule = ((float(inertia_list[num]) / inertia_list[num + 1]) - 1) * (len(data) - num - 1)
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h_rule = ((float(inertia_list[num]) / inertia_list[num + 1]) - 1) * (
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len(data) - num - 1
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)
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print(f"k={num}, H={h_rule:.2f}")
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num += 1
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if h_rule > threshold:
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