From d6ab91411f2a7e0acde5081eabcd0e84ab51f834 Mon Sep 17 00:00:00 2001 From: Jen Looper Date: Wed, 26 May 2021 14:40:13 -0400 Subject: [PATCH] clustering notebooks --- Clustering/1-Visualize/README.md | 10 +- .../1-Visualize/solution/notebook.ipynb | 130 +++---------- Clustering/2-K-Means/README.md | 2 + Clustering/2-K-Means/solution/notebook.ipynb | 180 +++++++++++++----- 4 files changed, 166 insertions(+), 156 deletions(-) diff --git a/Clustering/1-Visualize/README.md b/Clustering/1-Visualize/README.md index 439848266..d5145919d 100644 --- a/Clustering/1-Visualize/README.md +++ b/Clustering/1-Visualize/README.md @@ -6,13 +6,19 @@ ## [Pre-lecture quiz](link-to-quiz-app) ### Introduction -Clustering is a type of [Unsupervised Learning](https://wikipedia.org/wiki/Unsupervised_learning) that presumes that a dataset is unlabelled. It uses various algorithms to sort through unlabeled data and provide groupings according to patterns it discerns in the data. Clustering is very useful for data exploration. Let's see if it can help discover trends and patterns in the way Nigerian audiences consume music. +Clustering is a type of [Unsupervised Learning](https://wikipedia.org/wiki/Unsupervised_learning) that presumes that a dataset is unlabelled. It uses various algorithms to sort through unlabeled data and provide groupings according to patterns it discerns in the data. + +> TODO infographic + +[Clustering]() is very useful for data exploration. Let's see if it can help discover trends and patterns in the way Nigerian audiences consume music. ✅ Take a minute to think about the uses of clustering. In real life, clustering happens whenever you have a pile of laundry and need to sort out your family members' clothes 🧦👕👖🩲. In data science, clustering happens when trying to analyze a user's preferences, or determine the characteristics of any unlabeled dataset. Clustering, in a way, helps make sense of chaos. In a professional setting, clustering can be used to determine things like market segmentation, determining what age groups buy what items, for example. Another use would be anomaly detection, perhaps to detect fraud from a dataset of credit card transactions. Or you might use clustering to determine tumors in a batch of medical scans. -> Interestingly, Cluster Analysis originated in the fields of Anthropology and Psychology in the 1930s. Can you imagine how it might have been used? +✅ Think a minute about how you might have encountered clustering 'in the wild', in a banking, e-commerce, or business setting. + +> 🎓 Interestingly, Cluster Analysis originated in the fields of Anthropology and Psychology in the 1930s. Can you imagine how it might have been used? Alternately, you could use it for grouping search results - by shopping links, images, or reviews, for example. Clustering is useful when you have a large dataset that you want to reduce and on which you want to perform more granular analysis, so the technique can be used to learn about data before other models are constructed. diff --git a/Clustering/1-Visualize/solution/notebook.ipynb b/Clustering/1-Visualize/solution/notebook.ipynb index fbf424f59..087df857b 100644 --- a/Clustering/1-Visualize/solution/notebook.ipynb +++ b/Clustering/1-Visualize/solution/notebook.ipynb @@ -43,15 +43,15 @@ "name": "stdout", "text": [ "Requirement already satisfied: seaborn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.11.1)\n", - "Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n", "Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n", + "Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n", "Requirement already satisfied: pandas>=0.23 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.1.2)\n", "Requirement already satisfied: matplotlib>=2.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (3.1.0)\n", - "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n", "Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n", - "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n", + "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n", "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n", + "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n", "Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n", "Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n", "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n", @@ -222,7 +222,7 @@ "output_type": "display_data", "data": { "text/plain": "
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\n" 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\n" }, "metadata": { @@ -359,10 +359,12 @@ }, { "source": [ - "Examine our top three genres data distribution along a given x and y axis " + "Are the genres significantly different in the perception of their danceability, based on their popularity? Examine our top three genres data distribution for popularity and danceability along a given x and y axis " ], - "cell_type": "markdown", - "metadata": {} + "cell_type": "code", + "metadata": {}, + "execution_count": null, + "outputs": [] }, { "cell_type": "code", @@ -380,7 +382,7 @@ "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} @@ -399,57 +401,16 @@ }, { "source": [ - "A scatterplot of the same axes shows a similar pattern of convergence" + "In general, the three genres align in terms of their popularity and danceability. A scatterplot of the same axes shows a similar pattern of convergence. Try a scatterplot to check the distribution of data per genre" ], - "cell_type": "markdown", - "metadata": {} - }, - { "cell_type": "code", - "execution_count": 12, "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'. Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n" - ] - }, - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "execution_count": 12 - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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- }, - "metadata": {} - } - ], - "source": [ - "df.plot(kind=\"scatter\", x=\"popularity\", y=\"danceability\")" - ] - }, - { - "source": [ - "You can visualize that scatterplot with hues aligning to genre" - ], - "cell_type": "markdown", - "metadata": {} + "execution_count": null, + "outputs": [] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -463,17 +424,17 @@ "output_type": "execute_result", "data": { "text/plain": [ - "" + "" ] }, "metadata": {}, - "execution_count": 14 + "execution_count": 13 }, { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -487,43 +448,6 @@ " .add_legend()" ] }, - { - "source": [ - "swarmplots show the general distribution as well" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "execution_count": 15 - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "sns.swarmplot(x=df['popularity'],\n", - " y=df['artist_top_genre'])" - ] - }, { "source": [ "reduce the dataframe to only numeric values" @@ -533,7 +457,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -552,7 +476,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -566,7 +490,7 @@ "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -583,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -597,8 +521,8 @@ "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } diff --git a/Clustering/2-K-Means/README.md b/Clustering/2-K-Means/README.md index 029678ca9..4c7e15f05 100644 --- a/Clustering/2-K-Means/README.md +++ b/Clustering/2-K-Means/README.md @@ -3,7 +3,9 @@ Add a sketchnote if possible/appropriate ![Embed a video here if available](video-url) +https://www.youtube.com/watch?v=hDmNF9JG3lo +https://stanford.edu/~cpiech/cs221/handouts/kmeans.html ## [Pre-lecture quiz](link-to-quiz-app) Describe what we will learn diff --git a/Clustering/2-K-Means/solution/notebook.ipynb b/Clustering/2-K-Means/solution/notebook.ipynb index a75043f76..483198dc8 100644 --- a/Clustering/2-K-Means/solution/notebook.ipynb +++ b/Clustering/2-K-Means/solution/notebook.ipynb @@ -35,7 +35,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -49,12 +49,12 @@ "Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n", "Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n", "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n", - "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n", - "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n", "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n", + "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n", + "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n", "Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n", "Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n", - "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.1 is available.\n", + "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n", "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n", "Note: you may need to restart the kernel to use updated packages.\n" ] @@ -66,24 +66,45 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 5, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - " popularity loudness danceability\n", - "0 48 -6.699 0.666\n", - "1 30 -5.640 0.710\n", - "2 40 -7.127 0.836\n", - "3 14 -4.961 0.894\n", - "4 25 -6.044 0.702" + " name album \\\n", + "0 Sparky Mandy & The Jungle \n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "2 LITT! LITT! \n", + "3 Confident / Feeling Cool Enjoy Your Life \n", + "4 wanted you rare. \n", + "\n", + " artist artist_top_genre release_date length popularity \\\n", + "0 Cruel Santino alternative r&b 2019 144000 48 \n", + "1 Odunsi (The Engine) afropop 2020 89488 30 \n", + "2 AYLØ indie r&b 2018 207758 40 \n", + "3 Lady Donli nigerian pop 2019 175135 14 \n", + "4 Odunsi (The Engine) afropop 2018 152049 25 \n", + "\n", + " danceability acousticness energy instrumentalness liveness loudness \\\n", + "0 0.666 0.8510 0.420 0.534000 0.1100 -6.699 \n", + "1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n", + "2 0.836 0.2720 0.564 0.000537 0.1100 -7.127 \n", + "3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n", + "4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n", + "\n", + " speechiness tempo time_signature \n", + "0 0.0829 133.015 5 \n", + "1 0.3600 129.993 3 \n", + "2 0.0424 130.005 4 \n", + "3 0.1130 111.087 4 \n", + "4 0.0447 105.115 4 " ], - "text/html": "
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" }, "metadata": {}, - "execution_count": 10 + "execution_count": 5 } ], "source": [ @@ -91,81 +112,138 @@ "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import seaborn as sns\n", - "from sklearn.cluster import KMeans\n", "\n", - "plt.style.use(\"seaborn-whitegrid\")\n", - "plt.rc(\"figure\", autolayout=True)\n", - "plt.rc(\n", - " \"axes\",\n", - " labelweight=\"bold\",\n", - " labelsize=\"large\",\n", - " titleweight=\"bold\",\n", - " titlesize=14,\n", - " titlepad=10,\n", - ")\n", "\n", "df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n", - "X = df.loc[:, [\"popularity\", \"loudness\", \"danceability\"]]\n", - "X.head()" + "df.head()" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - " popularity loudness danceability Cluster\n", - "0 48 -6.699 0.666 5\n", - "1 30 -5.640 0.710 0\n", - "2 40 -7.127 0.836 0\n", - "3 14 -4.961 0.894 4\n", - "4 25 -6.044 0.702 2" - ], - "text/html": "
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+ }, + "metadata": { + "needs_background": "light" + } } ], "source": [ - "kmeans = KMeans(n_clusters=6)\n", - "X[\"Cluster\"] = kmeans.fit_predict(X)\n", - "X[\"Cluster\"] = X[\"Cluster\"].astype(\"category\")\n", + "df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')]\n", + "df = df[(df['popularity'] > 0)]\n", + "top = df['artist_top_genre'].value_counts()\n", + "plt.figure(figsize=(10,7))\n", + "sns.barplot(x=top.index,y=top.values)\n", + "plt.xticks(rotation=45)\n", + "plt.title('Top genres',color = 'blue')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "wcss = []\n", + "\n", + "X = df[['popularity','danceability']].values\n", "\n", - "X.head()" + "\n", + "for i in range(1, 11):\n", + " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n", + " kmeans.fit(X)\n", + " # inertia method returns wcss for that model\n", + " wcss.append(kmeans.inertia_)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "metadata": {}, "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n FutureWarning\n" + ] + }, { "output_type": "display_data", "data": { - "text/plain": "
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}, - "metadata": {} + "metadata": { + "needs_background": "light" + } } ], "source": [ - "sns.relplot(\n", - " x=\"popularity\", y=\"danceability\", hue=\"Cluster\", data=X, height=6,\n", - ");" + "plt.figure(figsize=(10,5))\n", + "sns.lineplot(range(1, 11), wcss,marker='o',color='red')\n", + "plt.title('The Elbow Method')\n", + "plt.xlabel('Number of clusters')\n", + "plt.ylabel('WCSS')\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " popularity danceability\n1 30 0.710\n3 14 0.894\n4 25 0.702\n5 26 0.803\n6 29 0.818\n.. ... ...\n514 20 0.838\n515 14 0.786\n519 2 0.879\n522 26 0.863\n525 10 0.735\n\n[286 rows x 2 columns]\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "selection = df[['popularity','danceability']]\n", + "print(selection)\n", + "\n", + "from sklearn.cluster import KMeans\n", + "kmeans = KMeans(n_clusters = 3)\n", + "kmeans.fit(selection)\n", + "labels = kmeans.predict(selection)\n", + "plt.scatter(df['popularity'],df['danceability'],c = labels)\n", + "plt.xlabel('danceability')\n", + "plt.xlabel('popularity')\n", + "plt.show()\n" + ] } ] } \ No newline at end of file