{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "___\n", "\n", "\n", "___\n", "
Copyright by Pierian Data Inc.
\n", "
For more information, visit us at www.pieriandata.com
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# DBSCAN Hyperparameters\n", "\n", "\n", "Let's explore the hyperparameters for DBSCAN and how they can change results!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## DBSCAN and Clustering Examples" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "two_blobs = pd.read_csv('../DATA/cluster_two_blobs.csv')\n", "two_blobs_outliers = pd.read_csv('../DATA/cluster_two_blobs_outliers.csv')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plt.figure(figsize=(10,6),dpi=200)\n", "sns.scatterplot(data=two_blobs_outliers,x='X1',y='X2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Label Discovery" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def display_categories(model,data):\n", " labels = model.fit_predict(data)\n", " sns.scatterplot(data=data,x='X1',y='X2',hue=labels,palette='Set1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## DBSCAN" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import DBSCAN" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on class DBSCAN in module sklearn.cluster._dbscan:\n", "\n", "class DBSCAN(sklearn.base.ClusterMixin, sklearn.base.BaseEstimator)\n", " | DBSCAN(eps=0.5, *, min_samples=5, metric='euclidean', metric_params=None, algorithm='auto', leaf_size=30, p=None, n_jobs=None)\n", " | \n", " | Perform DBSCAN clustering from vector array or distance matrix.\n", " | \n", " | DBSCAN - Density-Based Spatial Clustering of Applications with Noise.\n", " | Finds core samples of high density and expands clusters from them.\n", " | Good for data which contains clusters of similar density.\n", " | \n", " | Read more in the :ref:`User Guide `.\n", " | \n", " | Parameters\n", " | ----------\n", " | eps : float, default=0.5\n", " | The maximum distance between two samples for one to be considered\n", " | as in the neighborhood of the other. This is not a maximum bound\n", " | on the distances of points within a cluster. This is the most\n", " | important DBSCAN parameter to choose appropriately for your data set\n", " | and distance function.\n", " | \n", " | min_samples : int, default=5\n", " | The number of samples (or total weight) in a neighborhood for a point\n", " | to be considered as a core point. This includes the point itself.\n", " | \n", " | metric : string, or callable, default='euclidean'\n", " | The metric to use when calculating distance between instances in a\n", " | feature array. If metric is a string or callable, it must be one of\n", " | the options allowed by :func:`sklearn.metrics.pairwise_distances` for\n", " | its metric parameter.\n", " | If metric is \"precomputed\", X is assumed to be a distance matrix and\n", " | must be square. X may be a :term:`Glossary `, in which\n", " | case only \"nonzero\" elements may be considered neighbors for DBSCAN.\n", " | \n", " | .. versionadded:: 0.17\n", " | metric *precomputed* to accept precomputed sparse matrix.\n", " | \n", " | metric_params : dict, default=None\n", " | Additional keyword arguments for the metric function.\n", " | \n", " | .. versionadded:: 0.19\n", " | \n", " | algorithm : {'auto', 'ball_tree', 'kd_tree', 'brute'}, default='auto'\n", " | The algorithm to be used by the NearestNeighbors module\n", " | to compute pointwise distances and find nearest neighbors.\n", " | See NearestNeighbors module documentation for details.\n", " | \n", " | leaf_size : int, default=30\n", " | Leaf size passed to BallTree or cKDTree. This can affect the speed\n", " | of the construction and query, as well as the memory required\n", " | to store the tree. The optimal value depends\n", " | on the nature of the problem.\n", " | \n", " | p : float, default=None\n", " | The power of the Minkowski metric to be used to calculate distance\n", " | between points.\n", " | \n", " | n_jobs : int, default=None\n", " | The number of parallel jobs to run.\n", " | ``None`` means 1 unless in a :obj:`joblib.parallel_backend` context.\n", " | ``-1`` means using all processors. See :term:`Glossary `\n", " | for more details.\n", " | \n", " | Attributes\n", " | ----------\n", " | core_sample_indices_ : ndarray of shape (n_core_samples,)\n", " | Indices of core samples.\n", " | \n", " | components_ : ndarray of shape (n_core_samples, n_features)\n", " | Copy of each core sample found by training.\n", " | \n", " | labels_ : ndarray of shape (n_samples)\n", " | Cluster labels for each point in the dataset given to fit().\n", " | Noisy samples are given the label -1.\n", " | \n", " | Examples\n", " | --------\n", " | >>> from sklearn.cluster import DBSCAN\n", " | >>> import numpy as np\n", " | >>> X = np.array([[1, 2], [2, 2], [2, 3],\n", " | ... [8, 7], [8, 8], [25, 80]])\n", " | >>> clustering = DBSCAN(eps=3, min_samples=2).fit(X)\n", " | >>> clustering.labels_\n", " | array([ 0, 0, 0, 1, 1, -1])\n", " | >>> clustering\n", " | DBSCAN(eps=3, min_samples=2)\n", " | \n", " | See also\n", " | --------\n", " | OPTICS\n", " | A similar clustering at multiple values of eps. Our implementation\n", " | is optimized for memory usage.\n", " | \n", " | Notes\n", " | -----\n", " | For an example, see :ref:`examples/cluster/plot_dbscan.py\n", " | `.\n", " | \n", " | This implementation bulk-computes all neighborhood queries, which increases\n", " | the memory complexity to O(n.d) where d is the average number of neighbors,\n", " | while original DBSCAN had memory complexity O(n). It may attract a higher\n", " | memory complexity when querying these nearest neighborhoods, depending\n", " | on the ``algorithm``.\n", " | \n", " | One way to avoid the query complexity is to pre-compute sparse\n", " | neighborhoods in chunks using\n", " | :func:`NearestNeighbors.radius_neighbors_graph\n", " | ` with\n", " | ``mode='distance'``, then using ``metric='precomputed'`` here.\n", " | \n", " | Another way to reduce memory and computation time is to remove\n", " | (near-)duplicate points and use ``sample_weight`` instead.\n", " | \n", " | :class:`cluster.OPTICS` provides a similar clustering with lower memory\n", " | usage.\n", " | \n", " | References\n", " | ----------\n", " | Ester, M., H. P. Kriegel, J. Sander, and X. Xu, \"A Density-Based\n", " | Algorithm for Discovering Clusters in Large Spatial Databases with Noise\".\n", " | In: Proceedings of the 2nd International Conference on Knowledge Discovery\n", " | and Data Mining, Portland, OR, AAAI Press, pp. 226-231. 1996\n", " | \n", " | Schubert, E., Sander, J., Ester, M., Kriegel, H. P., & Xu, X. (2017).\n", " | DBSCAN revisited, revisited: why and how you should (still) use DBSCAN.\n", " | ACM Transactions on Database Systems (TODS), 42(3), 19.\n", " | \n", " | Method resolution order:\n", " | DBSCAN\n", " | sklearn.base.ClusterMixin\n", " | sklearn.base.BaseEstimator\n", " | builtins.object\n", " | \n", " | Methods defined here:\n", " | \n", " | __init__(self, eps=0.5, *, min_samples=5, metric='euclidean', metric_params=None, algorithm='auto', leaf_size=30, p=None, n_jobs=None)\n", " | Initialize self. See help(type(self)) for accurate signature.\n", " | \n", " | fit(self, X, y=None, sample_weight=None)\n", " | Perform DBSCAN clustering from features, or distance matrix.\n", " | \n", " | Parameters\n", " | ----------\n", " | X : {array-like, sparse matrix} of shape (n_samples, n_features), or (n_samples, n_samples)\n", " | Training instances to cluster, or distances between instances if\n", " | ``metric='precomputed'``. If a sparse matrix is provided, it will\n", " | be converted into a sparse ``csr_matrix``.\n", " | \n", " | sample_weight : array-like of shape (n_samples,), default=None\n", " | Weight of each sample, such that a sample with a weight of at least\n", " | ``min_samples`` is by itself a core sample; a sample with a\n", " | negative weight may inhibit its eps-neighbor from being core.\n", " | Note that weights are absolute, and default to 1.\n", " | \n", " | y : Ignored\n", " | Not used, present here for API consistency by convention.\n", " | \n", " | Returns\n", " | -------\n", " | self\n", " | \n", " | fit_predict(self, X, y=None, sample_weight=None)\n", " | Perform DBSCAN clustering from features or distance matrix,\n", " | and return cluster labels.\n", " | \n", " | Parameters\n", " | ----------\n", " | X : {array-like, sparse matrix} of shape (n_samples, n_features), or (n_samples, n_samples)\n", " | Training instances to cluster, or distances between instances if\n", " | ``metric='precomputed'``. If a sparse matrix is provided, it will\n", " | be converted into a sparse ``csr_matrix``.\n", " | \n", " | sample_weight : array-like of shape (n_samples,), default=None\n", " | Weight of each sample, such that a sample with a weight of at least\n", " | ``min_samples`` is by itself a core sample; a sample with a\n", " | negative weight may inhibit its eps-neighbor from being core.\n", " | Note that weights are absolute, and default to 1.\n", " | \n", " | y : Ignored\n", " | Not used, present here for API consistency by convention.\n", " | \n", " | Returns\n", " | -------\n", " | labels : ndarray of shape (n_samples,)\n", " | Cluster labels. Noisy samples are given the label -1.\n", " | \n", " | ----------------------------------------------------------------------\n", " | Data descriptors inherited from sklearn.base.ClusterMixin:\n", " | \n", " | __dict__\n", " | dictionary for instance variables (if defined)\n", " | \n", " | __weakref__\n", " | list of weak references to the object (if defined)\n", " | \n", " | ----------------------------------------------------------------------\n", " | Methods inherited from sklearn.base.BaseEstimator:\n", " | \n", " | __getstate__(self)\n", " | \n", " | __repr__(self, N_CHAR_MAX=700)\n", " | Return repr(self).\n", " | \n", " | __setstate__(self, state)\n", " | \n", " | get_params(self, deep=True)\n", " | Get parameters for this estimator.\n", " | \n", " | Parameters\n", " | ----------\n", " | deep : bool, default=True\n", " | If True, will return the parameters for this estimator and\n", " | contained subobjects that are estimators.\n", " | \n", " | Returns\n", " | -------\n", " | params : mapping of string to any\n", " | Parameter names mapped to their values.\n", " | \n", " | set_params(self, **params)\n", " | Set the parameters of this estimator.\n", " | \n", " | The method works on simple estimators as well as on nested objects\n", " | (such as pipelines). The latter have parameters of the form\n", " | ``__`` so that it's possible to update each\n", " | component of a nested object.\n", " | \n", " | Parameters\n", " | ----------\n", " | **params : dict\n", " | Estimator parameters.\n", " | \n", " | Returns\n", " | -------\n", " | self : object\n", " | Estimator instance.\n", "\n" ] } ], "source": [ "help(DBSCAN)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "dbscan = DBSCAN()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "display_categories(dbscan,two_blobs)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Epsilon\n", "\n", " eps : float, default=0.5\n", " | The maximum distance between two samples for one to be considered\n", " | as in the neighborhood of the other. This is not a maximum bound\n", " | on the distances of points within a cluster. This is the most\n", " | important DBSCAN parameter to choose appropriately for your data set\n", " | and distance function." ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "image/png": 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nE/75Z7Luvgv70X0oefAhgpMmEZk9m9I330xW/gDRpcsgFiPz9tsw69WlePgIlN1O5h23E91m97CtIvMXgGkh+NVXFF1/A2a9ugTeeRcsFjw3XE9k5ixKbrsNS8OGaA3WNm0IfjKRwPgJWNu1wzP4KryjRhNfuZLAu+/ifeBBorPnYO91ZPIzVGYmlho18D01Fr3t992LUvkE0B04H5ijlJpZVnaL1vqz1IUkhNjf7agy1JEwymLFyMggMn8Boe++AyC2YgXhX37GNWhQ8lizTl2iy5dXuEa8qJjIoj8JffstAKFvviW6fDnugZcT+npyuWNtHdrjf+NNrO3aYtaqhfb6CE+dRuYtIyi57/7kcb6xT5NzyCEU334H8c2bAQi8vybxRHL00cQLClAOBzoYJPDRR+S+/BLWVq3ANFE2G96xT6McDqKrV2PWqrXXF5FL5SigH7XWSmt9qNa6bdkfqfyFELvkPOWU5CifrTLOOpPCa64lMm9esvLfKl5YVG42b/iPP7B361bhutY2hxL6/vtyZbHlK1BZ2bguvBAsFjAMnCefjA6FyLx+KGZeHtHFS4itXInnhuuJbdxY4brR5cuTlX8yhqlTsR7cKjGaaNthrLEYvudfwDfuGbyPPY72erG2bUvRrbdTMOgqwnPnsjdV+ZnAQoj0Yu/UkbzXXsH3/IvocBjXuefgf/999JYtiZVAbbZyS0QDmLVqJf8e37QJlMJ5Rn8CH4wHmw3XWWcm1tnZfhMXhwNlmoRnzcIz+CpUVhbxcBgVClHy2ONonw8A78hRZJxzDpaWLSrEq5w7mPVvsWDk5xOZNTs58c16aOvE7OO+fQl8+CGQmMhm79aVknvuBWDL3LnkT/wYyzbf57+QBCCE2G/FS0uJbdyI4XJh5ucDoGw2HL16YdStS2TBAoJTfiD87XcARNeuw3XRRfifey55DWvbtpi1apL14AMEPvoYIycbS/PmqKxMnMcfTzwYJL5pE0atWmScf165tYAyh92I99HHiC5ZQmTmTAAcp5yC44geycp/q9J336XaO28nNp7aujugaWLWqo2tUyfC06Ylj3VdcjGWQ1oTnjEDS9Om2Nq3x6xfj9j6DWQ9eD/uSy4munEj4V9+KTd8NL5hA9FlyyUBCCEObJHFiym+9z5Ck7/BrFOHrIcexNHzCJRporXGUq0aun59otXzk+dYGzUkMm8e2SMfJzJ3LpZGjTDy8ih9+x0Ck74g847bwTAI/fADwc8nodxu3BddSOiXX3FfdSXx4uLEcM5NmxILubVsSXTZMlAK2xE9cJ5wAsqVQXxNxZ0FlcNBaMYfZI98nPDUqehQCMPjoeShh3H06YPztFMTo5PatsGoXYfCyy7DyMzE0rwZoWlTib37Lpn33YOjW1fMDu1R8xdQePnACktjGK69NxlMEoAQYr8T9/kovvV2Qj/9BEBs7VoKLr6E/M8mYrjd+N96m8BHH2Nt1Qrn6adiO6wb4Z9/gVgMLBZ0KERo6jT8b7wJoRC2jh1wDRiA/9nncPTpTXDipwDo4mK8Y54g55lxxL0lBD/6mKBSKLcb7fNh69oFZ//+2A5uCRYr3sdH4jr3HOIlJZgNGxJbsSIZs2vg5egtWyi+9VbcQ4ZQdOOwZFOUDpQS+n0GurQUo1o+Zu1aqKysxDDTTZuIrVyVuEjs7yYos3Ej3Fdcge+Zv/coyDj7rHJ7GPxXkgCEEPud2IYNyco/KRolunQpgU8+JfhZYrxIbNUqwr/9SvaYMUS6dsXSuDFGvXqEJk8muk2HaXj679i7d8d+2GEEPv203GWV201k3nxUZtkyzlqjvV5UVhbWQw7B3vMIQt98h5GXgy4uRpeW4n/pZdxXXQmxGLGNG7Ee1ByVk5sY4790GdrnI+veeyi5736cp5+G87hj8b36Go7DDsP72ONY2rYhc+gQ/G++hXI4yLr9NkonfgpodCSCsloxHA7cg6/EfvhhRJYtx9KgPrY2bTDc7r12nyUBCCH2OyrDhZGbS7ygoHy504m1xUFYmzUFw6D0/Q+IrV5NvKSY0Pc/4H3iyUQH8YIFFa4ZW78eHYthadyY8PoNKKcT91VXon1+CAUxMmvjunIQ/nHPYOTn47nqSrxPj8P/v+dx9D0Oe7euuK8chKV5c6wtWuB78imUy4WRnY3hdmNvdTC2tm1x9OxJdN06zLw8sp8Yg/f+Bwh+PZnMG64nMm8ezn4nY2ncONGnEIkS+ulnQt9/T85TTxJdubLcpi9mbi5mr144evWqlPssCUAIsd+x1K5F1gP3UzjkusSKn4VFOE44HuJxvE88CdEo2GxkXj8U/6uvoku8uC6+CPvKlfg/GI+jdx/8zz9f7ppmw4YojwfnQQdRvHYdGaediv+ll8slmawH7sczYjjWg5pTeNXV6NLSRCdy9eoUXD4weVzmbbeicnOIzJmL88QTsHXuTNH1NxD/66/Ede67F+VwEF+/HufJJxGPx4itX09k2TKM7GwKrx2C9vlw9OmNe/BV+MY+TXDy5OTidtF16yAWw6xVC2WpvGpaEoAQYr9kbdWSrLvvIrZ2LbZDD8Vo1JDNfU9IVP4A4TDeMU/gufEGInPmYNSuhe3gg1GZmZjV84ksmJ9Y1tk0cV1wPrZu3YguWkTp8y/gOOF4VHZ2hScM/2uv4brsUnQgiC5NLCPh6NMb7+PlFysoefQxcv/3LLE1a9HRKAWXXlbufe/jj+M8/XT8z7+AyswkZ8xoCi6+hMzhN1Py0MPJ44JffU1GdjaWpk1RbjeG24X/tdcpfvAhdCCA+6ILcV9+OWbtvTPqZ3uSAIQQ+53omjVsueQyYkuWJMuyHnoAIzMzuTY/JDaAsTRogFm/PqEpUygYNQbicRzHHoOzf3/snTuD1hiNGxOePh3v/Q8AoH78EdcF51f4XF3iJTJrdmLIqWEk5gVEIhU3qQmFiMyeg/exx/FcN6TCdeKFRRguV9k1SwhMnIilTRti28SOzYaZn0/w+x9wHHsMlgYNCP38C0XDRyQP8T33v2RzVGVI2UxgIYTYmcjcueUqfwDvI4/hPO3UcmXK40FrTXTBgsRmLGUTuYJffEls6VIiCxfiHT2G6O8z8D/799wAXVqKkZNTbq1/AGe/kwl+9jnhufPwXD80cWw8jiqrzLcyatbErFu2fYnFUm4TGgBb98MIz5yVfB1dtgwzOyvZgZtx1pl4rroSW9cuuC65GMfRRxP4ZCKh336tcC9K336HWElJhfK9QRKAEGK/Elm6lOgOxtnHvV4cxxyNKqtEVWYmWXfdiQ4GiG4zHHOr0JTvcfY9LvFCkRgiWsZs0ADcbnKeegJb1y5YmjbFM/xmYmvWEt+8GXvbNgS/+BLPsBtRLhfZjzyMWSdR4VuaNCZn5OMoj4fcF5/HqF2LnKfHYmnSBEwTz/CbcZ15JrYO7ckYcEZi1vHJJ6PjmnhRERkXnE9s40a8o8cQ+GA83gcfovTV1zDy87HUrbjzmaV5M4xK2kNcmoCEEPuN2ObNFFw5GOfxfcHhgGAw+Z7rgvOxd+5M3ttvEvzyKwiHKf3oY+zdD8N6yCEExk8ody1ri4OIbUm08Qd//AnXFQPxPvQw2O24L7qQ4jvuBCD7oQcJff89SikCn38OJHYCi8yZQ2TOHACUy4XzlH7Yu3UjNGUK8WCAwFvvEPz660Rsl12K5+Zh6FCY0tdfx/vbVAAsrVqSM/YpsNqwNm+GkZODtVUrCi65tFyswa++Iuueu7F26IDZsAGxFYnlp1VGBq6LLkzuFby3SQIQQuw3osuWEZ03D//GjWSNuJnAZ5OIrVmD8/TTcJ17Ttk+wBn4nhqLZ8RwzFo18T7yKFkP3I+lVSui8xNbipt16mBp0gQdCGDUqon7vHOJbvyLrIcfIrZmDf53300+EcQ2biTwyUQi8+Yllml+8qnEekLb0H5/YpVQpYgXFaEDQTLOO4fwzJnEN2/GyMoiumQpuqSEcFnlDxCdv4DIwgWUvvc+8fUbAHbYZwCJUUqFQ4fiPO64xAqjhkIXFeN98imsrVtjZmXt9fstCUAIsd9QZqJKim/aRPHd92Lv3h1bt644TzoJS926AFgaNiTzgfvQJd7EGvxA8e13kDP2KaKLF0MkQrykhFhBAZZGDXEecwwlj49E2WzkvPJyYimH118HhwMjJ5vQzz/jPP00Ah+MJ/DJRDxDrsVs1pSM886j9PWyLR7tdtzXXkNszdrEjl4+H4U3DsN14QUopxPlsKOysgnNmFHhO4V/+hlrkyaEyhJAbMMGLE2bEt2mj8PSogXhX3/F2bs3vnGJmb+O4/sSW7uOyKxZxDdurJQEIH0AQoj9htm0CfY+vRMv4nFCP/yADoWw1KubPEbZ7dg6dEhsDLNVOEzR0OsxMjNRTie2Ll0IT51G8Yhb8b/yKtrrJePMM4ktWICORPCMGIH78stw9OiB/bDDMOvUIWfc07guuwTlcuEfO47o8mVkPfYo2U8+QdatIwj++COlb7yJDocJff89OhDA98yzBL/8EqN2HUI//YStU6cK38neowfRlavANLF17Up01SoyLryAjPPOxdKkcWKm8Ikn4Hvm2cT3K+twDn7xJfYjemDUqolRCZU/yBOAEGI/YmZlkX3/fYT69iU8bTq2rp2xH9Ydw+Mpd5wu8SZm08744+8yn4/oihUEPhiPe8i1ZPQ/Db/XS2zLFjLOOB2zcWN8LzxPxjnnUPree0Rnz0me677qSvzjJ+A6awC+p54mtj6xyXt0/nxKP/qYvOefQ7ncOLodhlE9n+ifi7G2aIG1RQtKJ07EN3IU9t5HYTZujL13b0KTExvI2Dp2AIcD1yUXQzxO8JtvQGvManlEVmVgadGCyMxZiWWpSWw3aeTnE/P7MWtUJ15URPajj2BWr14p91sSgBBiv2KpWxfLWWfiOuvMnR6jHA6sLVsSql6deNkmLGb9+hiZmThPO5XgV18RmfEHjpNOxHNUL0oeegSnxUp0yVIMp7Nc5Q/ge/4F8l5+CQ3Y2rZBt2xB6IcfAfBcdSWFg68htm4dmbffiu9/zxOZmlja2axdC9eFFxL86GOiS5cSWbwY17nnYO9xOLqkhMiff+IdNZqcMaMoHHRV8vPCP/9C9uiRFL3wQrk9CCxNmyTWKlIKz/Dh2A5tnRhdVEkkAQghqhzbwa2I/PEHGaedisrIwMjNxahVC4JBwosXJ2YAA4F330NluHCdew6h2bOx9+xZfgeurcJhwr//TnT5cmydO1NcNhnLc9MwSh54EGKxxNIOxSXJyh/KNoifNw9LixZEFy4k/O132Nu0wTt6TPIY15WDCHz4UYWPDHw+Cfc1V+N74kmwWnEPGoi1UyeyH30ES7OmiVnNlTT6ZytJAEKIKkdZrWScOSBRaS9dhsrMJPTVV5S+/Q7Zjz+G58YbEpOv6tRBB4MEf/0N90UXoKxWoqvXYOTklNsU3n5UL0K//kr4p5+Je73YevYkPGUKhELJ0UJGfj6xNWsqxBKZvwBLs6ZEFy4E08Tati1G9erEN2/G0bs3jp49KV1bcV6D4XbjuW4IGaf0A4sFS/36lbruz45IAhBCVElGRgaOHj2gRw9iBQWJXcPq10e53YklFDIzUTmLyTj1VCLz5uF7ciwZp59GdP16sh9/jNK33yG6dAm2bt0wXG58zyY6YUNffU3eO28ROawbRs2ayc+LrV+PpVGjCnHYunQmNCWxl7DrogvxvfwyzuOORWVnE/75ZwouupicsU8S+PSzvyejGQauc8/FsNkwmjev/Ju1E5IAhBBVXnzTJoqGjyC+cSNGzZp4rrmaksdHknnxRcn9dCGxGXvmiOFEFiwgXurHPWQI3kceLffLXmVno70+gr/8ilm7FvYehyf6A6JRoouXJLaNfONNiMexHd4d2+Hd0cEglrPPxNLqYMz8fEoeH5lYQ2hrfJEoOaNHEfrxR1SGC2e/k7G1a7svb9EOSQIQQlR5gc8nJTuD4xs24H/ppUSF+913FY4NfvcdOBzYu3aFcBijdq1yCcB9ycUU3Xob7ssupeT+B3D264dn2I0YmZlgs2FUz8dxVC8is+cQmTuX4qE3YOTlEfjwI9yDryIwfgKu887F/9LLiQvabMQWLsT/2ut4br4pkTQaNKj8m7IbJAEIIaq86OLFyb/bunTB0etIYhs3ojJcFY5Vbg+OY44mMmsWyu3Gdf75xI8+mrjXi5GRQWDSF8T/+ovY6tUYubkEPvoIs149sh99mMjsOfheex3nSSfie/4FtNcLJLasxGZDGQaxNWswsrMTH2a14rn2msRM4C1bKL71Nqp//mmFmFJFEoAQospzHt+XwIcfYTZsiK19u+Sa+5m334a1bVscR/YESA7TLLp5BDoYJP76G9iPPBLtLSE8449yyz4rZwY6FEK5XGTdeQfFt95GdOkyIDGb1zPkWryjRqP9fnA4EhX92+8AYOvQntznnyMyd15i17KVibV9iESIrl6NtWXLfXh3dk4SgBCiyrMddhiZd9xOvKQEf9mMWoDIn39ia98usb5PLIatSxeMGjUwa9cm/NtvAIR+/JGsW28h/MfMZAIwcrKxtm+H22FHx+PEwyF0KJy8bnzzZnzP/Y+8d95OLF29bh2lb7xJbP167Ef0wNqmDdrnp/CGYeji4nKxGnnVKv+G7CZJAGlOh0LEi4pQmZkYTmeqwxHiXzFzcvBcMZDQ9On4to7BNwwsDRrgfeTR5HHh336j9JVX8YwYTtFNNxP780+IRgn++hvZo0cRW7ECIz8f60HNKf34E6LzF+A4vi9mzVrkjBlFwcBBiQ1p7HYyb7oRW6uWWOrUJjx7NtamTYkVFGDm5KCLS7A0akj2Qw9SOPjq5GQv9+CrsB6UulE/20tpAlBKHQeMAUzgea31Q6mMJ91E/vwT75NPEfzmW2wdO5B54w3YWrdOdVhC/GuWZs2wduhA5PffMXJyEm3z2wlO/oZ4IID7wguIB4MQCBBbu5aia4dQ7dNPsLdtC4C9SxeiWwpQSmHm5gCQP+kzYmvXYeRkY2nUCGWamNWrYzidbL7ksuQwT7NePfLeegNn3+OwTPqM2MpVGNWrY21xUHJTmP1ByhKAUsoExgJHA2uAaUqpj7XW81MVUzqJFRRQcPW1ROfNAyD09WS2zJpN/sSPk6suClHVmFlZ5Dz2CCUjRxH85lvM+hU3WLG2akl0yRICn0zEPeiK5BOD54YbsDZtWu5YS15u+de1a2OpXbtcWdzno/iRR8ttOBNbvZrwtOlYGzXCdvDBcPDBe+sr7lWpfALoDCzRWi8DUEq9DfQDJAHsA9GVq5KV/1bxTZuILlsuCUBUadbmzckZM5r45s3oSITwb78R+uZbAIzq1bF165acG2Dr0IG811/FyMvD0qxZuWbQyKJFhH6divZ5sXfpgrXNoajttn6EsmbUdesrlG+7d/H+KpUJoA6wepvXa4Au2x+klBoIDASov4NsLv4d5XQk9kPd5lcLgHJlpCgiIfYew27HKNvCMXfMGMKzZxOeMQPt81FS1ieg3G6sTRpj2cGY/MjChWzufwbxwqKyCxrkvfkGjh6HVzjWzMsj44Lz8D70SLlyW/v2e/dLVYL9fj8ArfVzWuuOWuuO+fn5qQ7ngGFt3Bj3VVeWK3OeegqWZs1SFJEQlcPIzcHe8wisrQ/B/9bbEAyisrPJeebpHVb+AMGffv678geIx/GOHkM8ENjh8Rn9++O+bggqOxuzUUNyn38OW5tDK+Hb7F2pfAJYC9Tb5nXdsjKxDyibDfcVA7F37UJk8RIsDRpga9sGMzMz1aEJsdcppXAefTTWSZ8R27IFMz8fS716Oz1++6GbQLJJiR2MlrPUqkXmjTfgPv88sNmTncb7u1QmgGlAM6VUIxIV/1nAOSmMJ+2YOTmYRx6J48gjUx2KEPuEpUGDnf7q35a9+2F4R44qNzHMPfCyXf5AUkphbrN4XFWQsiYgrXUUuBr4AlgAvKu1nrfrs4QQovLZ2rUj97VXsLZrh9moIdkPP4TjuONSHdZel9J5AFrrz4DPUhmDEEJsT9lsOHv1wt6pE0Sjf6/tc4CRmcBCCLET+9Okrcqw348CEkIIUTkkAQghRJqSBCCEEGlKEoAQQqQpSQBCCJGmJAEIIUSakgQghBBpShKAEEKkKUkAQgiRpiQBCCFEmpIEIIQQaUoSgBBCpClJAEIIkaYkAQghRJqSBCCEEGlKEoAQQqQpSQBCCJGmJAEIIUSakgQghBBpShKAEEKkKUkAQgiRpiQBCCFEmpIEIIQQaUoSgBBCpClLKj5UKfUocBIQBpYCF2uti1IRixCpElm6lMjChSirFWvLVljq1U11SCLNpCQBAF8BI7TWUaXUw8AI4OYUxSLEPheePZvNZ56NLikBwGzYgLxXX8HapEmKIxPpJCVNQFrrL7XW0bKXvwLy00ekDR2N4nvhxWTlDxBbsZLgd1NSGJVIR/tDH8AlwOc7e1MpNVApNV0pNX3Tpk37MCwhKocOh4nMn1+hPLpkSQqiEems0hKAUuprpdTcHfzpt80xtwJR4I2dXUdr/ZzWuqPWumN+fn5lhSvEPmNkZJAxYECFcseRR+77YERaq7Q+AK11n129r5S6CDgR6K211pUVhxD7I+cJJxBbsxb/K6+gbDY8N1yPrXOnVIcl0oxKRd2rlDoOGAn01FrvdrtOx44d9fTp0ysvMCH2IR2JEFu3DgwTs24dlFKpDkkcoJRSv2utO25fnqpRQE8BduCrsv/T/6q1HpSiWIRICWW1YmnQINVhiDSWkgSgtW6ais8VQgjxt/1hFJAQQogUkAQghBBpShKAEEKkKUkAQgiRpiQBCCFEmtplAlBKZSqlKqxOpZQ6tPJCEkIIsS/sNAEopQYAC4EPlFLzlFLbTlN8ubIDE0IIUbl29QRwC9BBa90WuBh4TSl1atl7MmVRCCGquF1NBDO11usBtNZTlVK9gIlKqXqArN0jhBBV3K6eALzbtv+XJYMjgX7AwZUclxBCiEq2qwQwiO2aerTWXuA44P7KDEoIIUTl21UC+BA4TSllbi1QStUAXgJOruS4hBBCVLJdJYAOQGNgplLqKKXUEGAq8AvQeV8EJ4QQovLstBNYa10IDCqr+L8G1gFdtdZr9lVwQgghKs+u5gFkK6WeJTEE9DjgfeBzpdRR+yo4IYQQlWdXw0BnAE8Dg7XWUeBLpVRb4Gml1Eqt9dn7IkAhhBCVY1cJ4Ijtm3u01jOBw5RSl1dqVEIIISrdTpuAdtXWr7X+X+WEI4QQYl+R1UCFECJNSQIQQog0JQlACCHSlCQAIYRIU5IAhBAiTUkCEEKINCUJQAgh0pQkACGESFMpTQBKqRuUUlopVS2VcQghRDpKWQIo21ryGGBVqmIQQoh0lsongFHATcj+wkIIkRIpSQBKqX7AWq31rN04dqBSarpSavqmTZv2QXRCCJEedrUa6H+ilPoaqLmDt24FbiHR/POPtNbPAc8BdOzYUZ4WhBBiL6m0BKC17rOjcqVUa6ARMEspBVAXmKGU6qy13lBZ8QghhCiv0hLAzmit5wDVt75WSq0AOmqtN+/rWIQQIp3JPAAhhEhT+/wJYHta64apjkEIIdKRPAEIIUSakgQghBBpShKAEEKkKUkAQgiRpiQBCCFEmpIEIIQQaUoSQIrFvD50NJrqMIQQaSjl8wDSVXTlSko/mEDgk0+wdeqI6+KLsLVsmeqwhBBpRBLAHoht3kz4t98I/vAj1latcBzRA0vDhnt8nbjfT/E99xKc9AUA0T//JPj1ZPI/moClXr29HLUQQuyYJIDdpCMRfM8/j+/Jscky/yGHUO3VlzFr1Nija0VXrUpW/lvF//qLyOIlkgCEEPuMJIDdFF21Ct+4Z8uXzZ1LZOHCPU4AymIBiwW2a/tXNts/nhvbuJHg9z8Q/HwS1rZtcPY9DmvTpnv0+UIIAdIJvPuiMYjFKhTryJ534FoaNsR9+WXlyqyHHIJyZezyPB2J4Hv2OYqGXEdw0iS8Dz3MlgsvIrp27R7HIIQQ8gSwm8z69XD0O5nghx8ly4z8fKzNm+3yvOjq1USXL8dwezCbNsXM9KCsVlwXnI+Rl0fc68WsX5/4+vVsOfNs8j//DGuTxju+1qrV+J5/oVxZbMVKoosWYalT579/SSFEWpEEsJsMp5Os4TdjbdGCwEcfYevQAdeFF2KpX3+n54RnzWLLeRcQLygAIOOcs8kcfjNmXh5xnx9lsRCZO4/gJ59g79GDjLPPIrp82U4TAGjQFTdF0/H43viKQog0IwlgD1jq1SPzmqtxX3IxyuFAmeZOj437fBTfe1+y8gcoffMtnH37Yh7VCx0OUzJyFLqkBIDosuU4+h6HUa3aLj8/47xzKX3l1WSZUasm1oNa7IVvJ4RIN5IA/gXD5frHY+IlJYT/mFmhPLZ+XeJ/16xOVv5bBb/4Es8N1+/0mspmw3PN1VhbtiQwfgK2jh3I6H86lnp19+wLCCEEkgAqjcrJwd69O6HJk8uVmw0aJP6yg9m/ym7HyNh1R7ClVi3c55+H69xzUIb04Qsh/j1JAJUkvnIVztNPxd65E+Fp0wh+/wOuCy/A0rw5AEbNmth69CD8ww/JczIuuhCVn1/uOjoUIl5SgpGdTXTpUsKzZkMsirVNG2wHH7xPv5MQ4sAiCWAP6WiU+ObN4HJhejw7PS7211+Uvvwq4RkzsLVrR+7YpygZN46MzVvwffklwYmfYW3eDNf55xGaOg1LtTx0XGNsMxcgPHcu3jFPEp4+HUfv3piNGhKc+Cna7yO2dh3V3n8XW7t2++JrCyEOQJIA9kB0xQq8z79AYPwELI0aknXbrdi6dkUplTwmtmEDkWXLKLp5OLHVqwEIT5tG0cqVZAy8nNLx4/GPewaA0A8/EPhkIu4rBhLbuBFn374oi4VYQSGxv/5KjCDatCnx2UuWYGnZArNmDZSrMRnnnot//IdY27Yt9/lCCLG7JAHsJh0KUfLYSAITJgAQmTmLzeecR/VPJ2Jp2YLosmXEtxRQfPc9OI7smaz8t4pv3Ii9VSu2XHRxhXLt82Hv3JnSzz5D+/2UPPwIjt5HEd+0CbNePVAKR++jKLnjzuR5gc8+J+vuuyAeJ7JqNeGpU4lt3IitfXts7dthOJ2Vfk+EEFWbJIDdFF23nsBHH5UvDIeJrl1DdPMmIrNmY2RnE5k5E8dRvcAwoML4/Ipj+AFQCq01lvr1KLzmWjL6n47KzSXztluJLFyItU0bSt96q/w5oRDxzZuJrV/PlgsuILZsefKtnLFPknHKKf/5OwshDmwyjGQ3KbsdIysr+dp5+ml4ht1IbP16VDSG78mniBcXAxD8ejIZZ51Z7nxn/9Pxv/c+rgsuKFduVK+OWb8+sU0bifw+A9dll6I8HgxXBiX33U/g/Q8I//zzDieAYbMRmTe/XOUPUHzv/cTKmo6EEGJnJAHsJkvtWmTdlWiCcZ5yCrH16/E++hjFI24lPH062u/HUjexHENk9mxi69aTefNNZN4ynMw7bkcXFxOc8CFxbwlZDz6A/YgeuC6/jOz77yPwxReYmZkEJnxIcNIXWNu2ofSdd5OfHfpuCs6TTiofkM2G7dDWqOwsrIceWu6teFEROhyu3BsihKjypAloB3Q0SnTpUmIbN2LWqoWlcWOUYeA44XiqNWpIbEsBhYOuTB4fLyrGqFmTeCRC1gP3Ef5jJpaGDcDhwNKgPsFvviX41deYtWtjqVMHo0Z1XJdeSuCjjwh+/z0Z/fqhDYVjwBlY69UDw0AHgn/HEwgQ+v4Hsh5+kOAXX2F4PDhPPAHvuGeJ/P47jtNPw33VIKILF2Hk52PWqUN42nTiRUVYW7aU+QJCiB1KWQJQSl0DDAZiwKda65tSFcu2dDRK4JOJFA69HiIRsNvJfXIMjuOPJ7ZhA7GNG4lv3kL2ww8R+u03Yn/+SXDKFDxXDkKXlBBbu454QSHe994HQHk8ZD/+GNE//8TerRu+5/6H9vmwde+OZ+gQim65jdLXXsc5YACGYRDbsAE9bToZZw6gePbsZFzhqVPJOP88HMcdB5EwhdcOQQcCYJrYGjemcMhQCIUAsLRsgb1bNwqHXEfea6/gOOKIlNxLIcT+TekdtS1X9ocq1Qu4FThBax1SSlXXWm/8p/M6duyop0+fXikx6VCI8KxZhH78CR0KoaxWvOOegWAQlZFB3oTxlL78cqJpJh7HPWQIRnYWocnfYDZqiK1LZ4ycXOJr1lB08/By17Z26oh76FDiy5ejQyGIxYjMm4+ORbH37Elg/AQcxx0LgQC+l18mvmkzOWOfIrp0KcGvvsJwuXD07o3/7bcTzUmlpUTnzSdeWERs41/E1m8gMnNmuc/0DL0O75gnsDRuTLUJ4zFzcyrlvgkh9n9Kqd+11h23L0/VE8CVwENa6xDA7lT+lS34ww8UXPj3EE2jWjU8g67A+8STOE8+meiiRZS+9TYA1rZtia1ciW/MhwCoGTOwNm1KwXXX47nm6grXji5ZigqFKL77Hihrm7f17Im95xEo08Rx4gkYHjfBH37E3rkLoe+nEF2wAP977+O+7FJQCv8bb2JtcRCBDz8m8N57AJh165J55x0Ub5dwAHRpKcpuJ7p6NToURMdixDZsILp4CVhMLM0PwlI9v8J5Qoj0kaoE0BzooZS6HwgCN2qtp+3oQKXUQGAgQP1dLL38X8RKSih5+JFyZfHNm1EeDznPPYPvf8+jbNbke44je+J94kkcfY/D2qIFZuPGeEeOhGh0h3sEewZdQcl99ycrf4DwlCk4juhByT334OjbF+cJJxDbuBHtLcF95ZWYrVriMozE6KLSUlwDBmDrfhiFVwz6O+41awhOmYKzXz/8L71U7jONnBwsTZviOv88im68CQyF48gj8b/5FtGFC7Ec2prckY9jlY3ohUhbldY7qJT6Wik1dwd/+pFIPLlAV2AY8K7ayXRWrfVzWuuOWuuO+fmV84s1vmYtuqioYnlBAaHvphCZ/juWJk3Kvee+YiDxLQV4R40mOmcO8b8SDzFxvx/3FQPBbgfA2qYNliZNiC5fXuH6uqSEeGERpW++lWhaikaJLltOyQMPogsK8Y4clVhOOhjE/+qrRBYsqLBcdOjTT7G2a4Pj+L5gGBg5OWTeeQeBr79OVP433Uzou+8IffMtxXfcScYZ/QGIzp5D6UcfE547d2/cQiFEFVRpCUBr3UdrfcgO/nwErAHG64SpQBzY+UL4lSg8axZbLru84jBLw8DSsCHhadMhFkPl5mLrfljyHAyD8NSpAAS/m4LzhOMBiG/ZQnDyN7gvvwzPdUMw69bB//772Pv0qfDZapvZuoHPPsPe68jER9esSfjX3yocH/xkIvZuXcuVWTt0oPTV14lt2ID76sE4TzsVw+PBdUZ/Al99VfH7Tp+OpUVi/4DosmV4xz5NbLtlqYUQ6SFVTUAfAr2Ab5VSzQEbsHlffLDWmujy5cTWrsXMyyPw7bfEVq4ktnEj7isHEfh8EkZuDhknn4x/wgRsbdsSXbSI+ObNuM47D0ef3qjcXAKvvZ68ZvTPP7H3PIKMs8+i9LPPcZ05AO/oMWi/HyMvj6wH7iNeVIz2lhD+5VeMnOzEMNBPJiavYeTmJvcH0CUlmDtonzcb1MfSvj2UnWc2aojjiCMoLlsiIjLjDwBcl12anJm8PWW1JpeitjZvjnfs00QvvRTfN9+grFYcR/XCeuihsr6QEGkgVQngReBFpdRcIAxcqPfRcKTQ999TcNlAdGkpGAbua67B2ro1gQkfYuTlkXHeeaCg+L77IRrFMbQL1oNbYdasSeHgqyEex6hVk4x+/QhP/x3lduM4qhfxv/7C0rUrnp5HoGwOXJdcjDIM4j4fRcNuJvPWW8gYMICMM8/ErFcX7+Mjicybl4zLfekliVFHgA4GsbZujVmvXnJNIeVw4OjZEwyD3LffQvv9RObMITxzVoXvaFavjn/aNLLuvIPg5Ml/L0lhmljbtiUw8VOcp59GdOVKLE2b4n/pJQJlex17n3yKnNGjCM+YgfO4Y7G1b4/aZoVSIcSBIyXDQP+tfzMMNLpuHZG5c9GlASxNmrDl/L9X2NzKM+xGvI8+lnyd985blL79DoFPJmLWq0fWLSOILk+0zW+VPWokoZ9/xtKwIYEJHwLgGngZ4T9mYm3dmpLbbi+3FpByOnFdfBGl77xL1kMPEv7tN4ysLJTVilGnDspqJTJrFlitGB4PWK2YtWoRXbwYYjEwTfwvvYwuLcV9w/WYtWsT/vFHzBo1CP32G+Gff0E5HLgGXUFszRoC73+A/cQTcV94PoHPPk9MZOt7HLHCImLz5hH8bgqxlSvIvOtOiobdXK6DOmPAGYR++ZXYmjXkvfkGjiN67NE9F0LsX/a3YaD7RHTVKrZcNpBo2S9t93VDKlT+kPjFbNauDUrhuX4o1kMPJbNuPcz69YmvW0fhdUMrbNVYdNvt5Dz0IIXDbsJSvz6x9espvmk42SMfJ7pqFZ6h1xFbtYrSsglhZu1axDZuJOOM/sQLC/G/+hpEIlh79MDWpAn+l15COZ04TjyByLx52Nq0IVpYiHfMExW/mNdL0VWDyR4ziviWAlznn4frgvOJbdqMpUkTCl96Geepp+IZcg3WZs1wHHZY8tR4aSnRunWxde2KWb9euaGpW+lAAOVwgNZ4xz2DvWuXXT4FxDZtRgcDmDVqyNOCEFXIAZ0Awr/PSFb+ALqgIFERr1v/90FKYT20NfmTPgPAzMtLHOt2Y+bm4hvzBGbt2hi5uRi1ahJfvwFr1664Bw0kuuhPPIOuILJwUWIFUA2Bjz8hXlxE5I+Z2HsfhaNPb4Lffodn6FCiq1cTmPAh7hYtsLZqSWTmLKw1qhP84ovEZwYCBN57H8cJx2PWqE5s/QZwOCD497IQyuNB5SQmdYV//AmVm4u2WPCWDTO19+lN/reTsWRno8pGIm3LyMjAdmjr5GvXmQMIffFluWOsbdok+ye0z4eOx9lRj4AOhwl+8y3Ft99O7K+NZPQ/Hfe112DdwVBYIcT+54BuAvKOeyYx/r6McrnIvGUE3sdHJoZXOhxk338fGaedusNfrnGvl8iCBcTWrSPu92PWbwBeL4GPP8Fs3IjY6tUExif2B7B17IjjpBNRTifKZiVWVAyFhVg7dSIei4Hfn1hNNBhEx6LENmxAOZwohwNdXIzvuf+V20Mg7+23KLrjTlynn4b3iSfRfj8qMxPPDUMJT5uOvVNHops2Y9aoQelbb+E680y8TzwJ8RjuwYOJFxeR0e8UrC1b7PIexb1eQj/8iHfcOJTNhuPoowmMn5Dsn8h57hkyTjhhh+eGZvzB5pP7lVupNOPcc8i+/75EZ7MQYr+wsyagAzoBBH/+mS1nlF+W2X3j9bjOOIPYunUYuXlYGjfa6WJp0RUr2HLpZUQXLgIg8847KHnwIQiHE0stjB4DWmPr3BlL82aUvv5G4kSbjcybhuEbO5a410f2Y4/iHTWK2MpV2Lp1xdGzJ2a9egS++ILgxE8TbfcXnE9kwUKii//EdsQRWDt2wJKTQ/CnX7C1b0t88xbiGzZQ+t77xLdsQWVlkTtuLFsuvhRCIZTTSfboUUTmziX0449E/piJUa0a+R9N2OHktO3FAwF0LEZk1ix8zzyD9vpxXX4ZjiN6JPokdsD/7nsUDS3fNIbdTo0fpmCpU+cfP1MIsW+kZR+ArU0bskeNpOSee4mXlJBx1lm4+vfHUrculrp1d3luPBAg+MOPRBcuwqxdC9ellyZGDm3bXl6WPO09jyjXiUw4jG/cMzhPPRX/iy9R8sCDOPseh/+VVxPDQGvXwdi4keDHnyQuU1qK75lnyXl6LJFZswjP+CNR6TZsgOPo3hCPU3T1teXi08XFhKf/nlwATgcCxNatJb5pM0ZZE1F88+bERC+7HbN6dZRp7vT7bt1BzOzeHXunTmitMXbQhFTunMzMCmVmndooZ8YuzxNC7B8O6HWCDZcL14AzqP71l9T44Xuy778XS716/3heeM4cikbcklxgzT1wICWjRqP9/r+PmTULe4/Dy15UXHs/vmVL8pdzfOPGcmPyVSxGaPI3Fc4J/fILpeMnEJ42jcicuSgNcZ+P2Ia/kjOLy9lurL6ZV43St9/G1vHvRB9bsZKNvXpT8sCDRLfbpnJnlM32j5U/gPXQ1tg6tN8mAJOse+6WheeEqCIO6CeArcyaNf/xmNDMmQS/+prY+g3Yu3TG1r59YqnlxYsJTpkCPh+Gx4NyudB+P6FvvsV9xUCs7dph5OVV2ALSbNgw0YkLWA9uRXTZsuR78VgMS9MmxFauLB9nbi5xv5/MW0YQ+ulniu++B2vLlrhvvB73pZfge3pc8lhr505EtznffsQR6FgskSjKngqM/HzixcVorxffM89CXJN52y27fBLYE5batcl99hnCc+cSLy7B2qwZ1oNb7ZVrCyEq3wHdB7C7wvPns+Wsc4hv2ZIs81w3hOhfG7F36YT/pVeIzJqFysrCM/gqoitWEPf7cR7fF5WbS/DLr7E2aUzJ/Q+gvV7MevVwD7qC4nvvw9KoIe4rrqDoxmGJGbhWK1l33o5Zp25iTX+vF0is4e84oiex9euJLltGZJs1epTbjee2W6GwkFhxMWadOmivF2UY6EAAs359Qj/9hL17d4puHEb2mNHEvV6UUolhnmUJwWzZkpyHHyS2fgNmtTwsLVtibrPNpRDiwJSWncC7y//2OxTdcCPWNm1w9DoSgPD8BZi1aqI8mVjq1qF4+Ijk8WbtWniuH4p39BNkPvxgYiOXjZuIFRVibdgIHSglVliEmV+N4JdfQSyOpVlTzLw8jJo1CU2dRuCDD3ANOANILD1t1KqJd8yTOI/qlehc3o7nuiF4R49B5eXhPv+85DGWJo1xXX45hMPJoarBr74m/Ntv2A87DOshBxNduIjSCR/iuvgiSu69L/mkknHeuWTeMkKSgBAHuLTsBN5dOhIh44z+6FgM75NPQTyO44TjcfbtS/H992P07kPmnXfgf+lllN1OxumnEZj8TWLkztRpiaWXGzTArFeXyOIlmLm5GFlZFA29IfkLH8DWqxeuM/qDzwvBYLISN2rWJOvuO/FcOSjRlLTd2H8ALIn/VLqgIFnkOP00nEcdlXhiWLSI4MRPsXXvjlk9n8gfM4n8MRNbh/aYjRqRdeftiRm/2zRTlb7+BhmnnorZtUsl3l0hxP7qgO4E3l221odg1K6dGNMfi4HWBCd+SuiXX3BdeCH+t98mPGsWzn4nY23ZAu9TY3F06ULJQw/jG/MEJXfdTdH11xNbvoLYn4vxPvoY8bVry1X+7sFXYdhsFF59DYGPPsZ16SXJzdytrVuj/X5iK1YQnPI9nuvKj/ix9z6KyOw5ADiOOw6zXj1cl19GfN16CgdfnZjXsOEv3FdcQfinn8otXR3+fQaWevWIrd+QmPuwndjmfbIGnxBiPyQJALC1bUtk0aIK5eGffsbSrCnxv/4i9O13KFcGgY8/wda+PYGJn5b7NR0vLCK6dClm/Xo4ju6DUS0P93VDMGrVxNKiBbH16xMzfuNx4gUFeB99DOfxfTHy8nCdfx7aX4oOhbDWqwumSfbjj5I5Yjg5Tz1JxoAB2Lp0JvOeu3Ee35fIwkUYWVmEf/nl71inT0fHYxi5ucnVPrcya9ciPG8+1m1mACfeMLE0arhX76UQouqQJqAyttatCU36olyZpXkzwtOm47rsUoJffoVZoyYZZ55JPBggtn59hWvoSBTD6cQ/YQKxdetRLhfuqwejIxH8L7xY8Xgge+RjlL77HsGJZUtDGwZZd9yO2fwgdHQ+KIXv6XGJheJIrAqaPWY0pW+8UeF6kblzsTRtCtvMarYfcQThhYuwd+6E++ILKRp2U2Kp6Lw8sh95GOtBB/2HuyaEqMrkCaCM49hjsTRunHxtPeQQHEf3wTd6DGbNGmTefhvFt9xKeOZMLE2b4ux/eoVr2A/vjvfJp5JrDWm/H++jj2Fr3x7LDrazNLKz0KWBvyt/gHgc7zPPEvntN4qHjyBeXJys/CGxVLT/zTexdTuswvWsh7Ym46ILE0tUH90H9+CrsDRqROkLL6L9fmwHH0zeW29S/ZuvyZ/0Oc7jjkVZ5DeAEOkqbf/163AYlEquWWNr2YKcF58nungpBANEFiwgPHsOrnPPQQdD2NocChYL0UWL8C1ahOPEE3BfPZjAJxMxMjNxX3YpOh4vt54PAPE40SVLyOh/GsWLFiUnjVnbHIqleXPCv02tEFt8w4ZE/4HdvsPVS6OzZ+MeeDm2Lp2T51s7dcR5zLGElywmOPFT4j4voZ9/SU5ei8yeDYCZlSWjfoQQQBomgLjPR+jHnxIbvWc4cA8ciL1LYrlja5MmBCd+ivexx5PHW5o3J/PmmzCrVcNzw/WU3HU3AMGJn2Jp3oyccWPxjXuGwptuxnXeuRi5uRU6W3VpKb7XXsMz5FqIRBIbsxx8MFsGnEXmDddXmETmHnItRl4enkFXYGnUqMJ3cBzfl5KHHsZz7TU4TzqJeEEB0aXLKLhiEJ6bb8LWrSu+7ZaRth1++N68jUKIA0DaJYDQTz9TcOllf7/+dgrV3n8Pe9cuxNauw1e2K9dW0T//JLZ5E5gmGf1Px1KnDoHPPsPSrBnOY4/B9/KrBMuWTg6MH4/7mmsoefiR5OQr15WDiK5Zi619e0rffif5hJD96MMQjVL63ntkjhiO73/PE9+4EffQ64jMmYPv68kA2Dp1IvOO2xNbTHq92I/qhbVtO2KbtkAgQPFtt5eLNzjxU9zXDSEyazah774Dpcg480zsh3WrrFsqhKii0ioB6EgE3/MvbFeoCUz8FHvXLuhoBB0IVDhP2R0o08TMycF5fF+cx/cFIB6NEl26JHmc2bAh2jDwXD8UAgHMhg0xqlUj8OGHRBf9ib3H4Ri5uQQ/n4TKygYgumw53qfGknFKP8y6dTFr18Y3anTymuFp04iXlpLz1JOJUUa1ahGZMwfroa0rrO1j1KyJpcVBGB4POc88TWzFCpRpwWzUMLnYmxBCbJVWCQCldlgRqoxEmaV2bTL6n07pu+/9/Z7LhbVtmx1eLrZiBfZu3Qj/nBiO6ezbN9lEBOC6/DICEycSL1sTKLpkCbbDu+MZPpzoooXk/O85oosWEZ46Df8rr5I5Yjjxso3htxWdNw+iUYy8PIquG4oumyTmuWlY8hjnySdj1KhO4IPxBD+fRObwmxPDUTNkZU4hxI6l1SggZbHgGnh5+VU0bTacfRO/6JXdjmfoUDzXDcGsWxf70X3Ie/stbM2a7fB6sTVricyeg/uaq7GfegpG9Xw8Q67FM/S6xC5iLley8t8q/ONPRJctJfjV1xTfc29iiWmng5xxYwl8+ilmjeqJPoFt2A7rRqywgPBvvyUrf4DIHzPJuPACVG4OZv16+P/3PPHNm4mtWkXhVYMJ/z5jL905IcSBKL2eAAB7505Ue/+9xEbpGQ6cxx5b7he+pX49PDfegOvSS1GujF0ui2xUq0Zw8mTsCiyNG1N0XdnmKFYrmcNvTqzOWeEkA7N6dYzcHBy9j8KsUwff0+Owt2tLxoUXEl2zlsxbRuB74QXi6zdgO6wbjl690Js2o/2l5S4V/OornP1PJ+fhhykZNarCRwW/+RZHD+n8FULsWNolAGWzYe/aBfsu1r9RSu1wTfvYhg3Ei0swa1THyM7G2qwpWXffBTYbxTcP//vASATfuGfwDLsBa+eORKZORzkcmI0aYuvUEf/LidVFQ99+h/uaqxOref42jbjXi6PXkfheehnnccdi5uURnvEH8aIiAhM/xXX+eQQ+/LBcTJbGjfG9/DJmtXyiLCj3nlnrn5fBFkKkr7RqAvq3dCxGYPJkNh5/IhuP6s2ms84hPHcuym7Hdc7ZO9z/Nr55M0Z2DvbOXckaPQrP9ddjbdoEM68a9m5dk8f5X3gR5/F9sXc/DM+QawhMmEDmNYOJrV1L4IsvcRxzDM6TE0M9AxMmkHnbrVjbt8N6yCFk3nUnRt26RGbOwtG7V7kZwEZeHo6eR+yT+yOEqJrS7gng34guXkzBpZcnxvAD0TlzKBxyHdXeew8zNwezevUKY/ktTZpgNmhAbNNmQpO/IfjJJ8n3rIccQsaAMxKdzfE4Rm4ejqP7YG3aFOtBBxEvLsZx6qkYdjuG2w1A3huv43/tNUI//IDrvPOIrV2L9+FH8Fw/FM81VxNDUe3dt4kuXgw2O7a2bbA2bbpvb5QQokqRBLAboitWJiv/ZNnCRcTWr8PMzcFoUJ/Mm4bhHft0YkOYBg1wXz04sRl7MEjJbbeVOzcydy6OY44GwHXxRWgFRo0aAInN1HewobqZX43I7zMwcnMpGnFLcp6BcjjQPh+mzYr2+XEccwxmtWqVcBeEEAcaSQC7wcjLrVCmsrKSm6LbGjdGH9kTj8OB9noxqlXD1rEDpsdNzOnY4TWVx5PYdWz5Cqw1a2KW7R+80xhq1MBycKvkpDMAs3ZtdDSamHhWxtnvZLLuuxczt2LMQoi/xYuLiZeWYubnp+2aWCnpA1BKtVVK/aqUmqmUmq6U6pyKOHaX5aAWuC655O8Cpch+8IFyG8zbW7fGdc7ZiT9nn4W1bGE5S4MG2Pv0KXc9s3FjUOB/9TXMRg1xnnjCP8Zg2O1kDhuG49hjE/MZatQg86478T4+stxxgY8+Jrroz//wbYU4sOl4nOCPP7Lp9DPY2LMXRXfcSXTFilSHlRIp2RJSKfUlMEpr/blS6njgJq31kf90XmVtCbk7YsXFRBcsJLZ5E5YGDbEe1By1TafrrkRXrSIw8VMCn36G/fDDyOjfHyMzEx2NYtaqhTJ2Pw/HAwEic+cR+PBDjGrVyq1btFXui8/jPPbY3b6mEOkkPHcem044sdy+Gc7+p5PzyMOoXQz7rsr2ty0hNZBZ9vcsYF2K4thtZlbWv9460VK/Pp6rrsR92aW7nTR2xnA6sXVoj7JZia5Zi7V9eyIztpnw5XCUW9ZaCFFedPHiCpsmBcZPIPP6oVgaNEhRVKmRqgRwHfCFUuoxEs1QFRe3L6OUGggMBKi/gzX1q5L/Wvknr2MY2Nq0wdYmMdKn+IEHCU2ejKVpU7Lvvy+xKYwQYodU2ci6bRl5eSjHjvvrDmSV1gSklPoa2NFMpFuB3sAUrfUHSqkBwECtdZ8dHFtOKpuA9mfxQID4pk0ot2eHE9iEEH+LrV/PloGDyj055zw9lox+J6cwqsq1syagVPUBFAPZWmutlFJAsdY685/OkwQghNgbomvXEpk9m3hBAZbmzbG1bn1APwHsb30A64CewHfAUcDiFMUhhEhDljp1EnNu0lyqEsDlwBillAUIUtbGL4QQYt9JSQLQWv8IdEjFZ1d1OhRCwy5XKRVCiN0hi8FVEfFAgMDXk9l8zrlsOfscAl9+Rby09J9PFEKInUjP+c9VUHjqNAouvCj5uuC3qeS9/iqOXr1SF5QQokqTJ4Aqwv/2OxXLXns9BZEIIQ4UkgCqCCOz4mJxKvMfR84KIcROSQKoIjLO6A/bbjxjseA655zUBSSEqPKkD6CKsLVvT/74Dwh+PRkdj+M8ujfWtm1THZYQogqTBFBFKMPA1r4dtvbtUh2KEOIAIU1AQgiRpiQBCCFEmpIEIIQQaUoSgBBCpClJAEIIkaYkAQghRJpKyYYw/5ZSahOwMtVx7EQ1YHOqg/gPqnL8VTl2kPhTqSrHDrsffwOtdf72hVUqAezPlFLTd7TjTlVRleOvyrGDxJ9KVTl2+O/xSxOQEEKkKUkAQgiRpiQB7D3PpTqA/6gqx1+VYweJP5WqcuzwH+OXPgAhhEhT8gQghBBpShKAEEKkKUkA/4FS6gyl1DylVFwp1XG790YopZYopRYppY5NVYy7SynVVin1q1JqplJqulKqc6pj2lNKqWuUUgvL/ps8kup4/g2l1A1KKa2UqpbqWHaXUurRsvs+Wyk1QSmVneqYdodS6riyf59LlFLDUx3PnlBK1VNKfauUml/2//ch/+Y6kgD+m7nAacD32xYqpVoBZwEHA8cBTyulzH0f3h55BLhba90WuKPsdZWhlOoF9APaaK0PBh5LcUh7TClVDzgGWJXqWPbQV8AhWutDgT+BESmO5x+V/XscC/QFWgFnl/27rSqiwA1a61ZAV2Dwv4lfEsB/oLVeoLVetIO3+gFva61DWuvlwBJgf/9FrYGtmwxnAetSGMu/cSXwkNY6BKC13pjieP6NUcBNJP5bVBla6y+11tGyl78CdVMZz27qDCzRWi/TWoeBt0n8u60StNbrtdYzyv7uBRYAdfb0OpIAKkcdYPU2r9fwL/7j7GPXAY8qpVaT+PW83/+K205zoIdS6jel1BSlVKdUB7QnlFL9gLVa61mpjuU/ugT4PNVB7Iaq+G90h5RSDYF2wG97eq5sCfkPlFJfAzV38NatWuuP9nU8/8WuvgvQGxiqtf5AKTUAeAHosy/j+yf/EL8FyCXxONwJeFcp1VjvR+Oc/yH+W0g0/+yXduffgVLqVhJNE2/sy9jSmVLKDXwAXKe1LtnT8yUB/AOt9b+pBNcC9bZ5XbesLKV29V2UUq8CWzuS3gOe3ydB7YF/iP9KYHxZhT9VKRUnsVDWpn0V3z/ZWfxKqdZAI2CWUgoS/3+ZoZTqrLXesA9D3Kl/+neglLoIOBHovT8l3V3YL/+N7gmllJVE5f+G1nr8v7mGNAFVjo+Bs5RSdqVUI6AZMDXFMf2TdUDPsr8fBSxOYSz/xodALwClVHPARhVZ5VFrPUdrXV1r3VBr3ZBEc0T7/aXy/ydKqeNI9F2crLUuTXU8u2ka0Ewp1UgpZSMxaOPjFMe021Til8ILwAKt9ch/ex15AvgPlFKnAk8C+cCnSqmZWutjtdbzlFLvAvNJPBIP1lrHUhnrbrgcGKOUsgBBYGCK49lTLwIvKqXmAmHgwiryS/RA8BRgB74qe4L5VWs9KLUh7ZrWOqqUuhr4AjCBF7XW81Ic1p7oDpwPzFFKzSwru0Vr/dmeXESWghBCiDQlTUBCCJGmJAEIIUSakgQghBBpShKAEEKkKUkAQgiRpiQBCLEHylZhXK6Uyi17nVP2uqFSapJSqkgpNTHVcQqxOyQBCLEHtNargXHAQ2VFDwHPaa1XAI+SGJstRJUgCUCIPTcK6KqUug44nLKlp7XWkwFvCuMSYo/ITGAh9pDWOqKUGgZMAo7RWkdSHZMQ/4Y8AQjx7/QF1gOHpDoQIf4tSQBC7CGlVFvgaBJLTw9VStVKbURC/DuSAITYA2WrMI4jsf76KhIdv1Vu+0khQBKAEHvqcmCV1vqrstdPAy2VUj2VUj+Q2Euht1JqjVLq2JRFKcRukNVAhRAiTckTgBBCpClJAEIIkaYkAQghRJqSBCCEEGlKEoAQQqQpSQBCCJGmJAEIIUSa+j/4SkxPksNqgQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Tiny Epsilon --> Tiny Max Distance --> Everything is an outlier (class=-1)\n", "dbscan = DBSCAN(eps=0.001)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Huge Epsilon --> Huge Max Distance --> Everything is in the same cluster (class=0)\n", "dbscan = DBSCAN(eps=10)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# How to find a good epsilon?\n", "plt.figure(figsize=(10,6),dpi=200)\n", "dbscan = DBSCAN(eps=1)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 1, 0, ..., -1, -1, -1], dtype=int64)" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.labels_" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([False, False, False, ..., True, True, True])" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.labels_ == -1" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(dbscan.labels_ == -1)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.29910269192422734" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "100 * np.sum(dbscan.labels_ == -1) / len(dbscan.labels_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Charting reasonable Epsilon values" ] }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [], "source": [ "# bend the knee! https://raghavan.usc.edu/papers/kneedle-simplex11.pdf" ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [], "source": [ "# np.arange(start=0.01,stop=10,step=0.01)" ] }, { "cell_type": "code", "execution_count": 189, "metadata": {}, "outputs": [], "source": [ "outlier_percent = []\n", "number_of_outliers = []\n", "\n", "for eps in np.linspace(0.001,10,100):\n", " \n", " # Create Model\n", " dbscan = DBSCAN(eps=eps)\n", " dbscan.fit(two_blobs_outliers)\n", " \n", " # Log Number of Outliers\n", " number_of_outliers.append(np.sum(dbscan.labels_ == -1))\n", " \n", " # Log percentage of points that are outliers\n", " perc_outliers = 100 * np.sum(dbscan.labels_ == -1) / len(dbscan.labels_)\n", " \n", " outlier_percent.append(perc_outliers)\n", " " ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Epsilon Value')" ] }, "execution_count": 190, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.lineplot(x=np.linspace(0.001,10,100),y=outlier_percent)\n", "plt.ylabel(\"Percentage of Points Classified as Outliers\")\n", "plt.xlabel(\"Epsilon Value\")" ] }, { "cell_type": "code", "execution_count": 192, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 1.0)" ] }, "execution_count": 192, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.lineplot(x=np.linspace(0.001,10,100),y=number_of_outliers)\n", "plt.ylabel(\"Number of Points Classified as Outliers\")\n", "plt.xlabel(\"Epsilon Value\")\n", "plt.xlim(0,1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Do we want to think in terms of percentage targeting instead?\n", "\n", "If so, you could \"target\" a percentage, like choose a range producing 1%-5% as outliers." ] }, { "cell_type": "code", "execution_count": 193, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 193, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.lineplot(x=np.linspace(0.001,10,100),y=outlier_percent)\n", "plt.ylabel(\"Percentage of Points Classified as Outliers\")\n", "plt.xlabel(\"Epsilon Value\")\n", "plt.ylim(0,5)\n", "plt.xlim(0,2)\n", "plt.hlines(y=1,xmin=0,xmax=2,colors='red',ls='--')" ] }, { "cell_type": "code", "execution_count": 194, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# How to find a good epsilon?\n", "dbscan = DBSCAN(eps=0.4)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Do we want to think in terms of number of outliers targeting instead?\n", "\n", "If so, you could \"target\" a number of outliers, such as 3 points as outliers." ] }, { "cell_type": "code", "execution_count": 203, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 203, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.lineplot(x=np.linspace(0.001,10,100),y=number_of_outliers)\n", "plt.ylabel(\"Number of Points Classified as Outliers\")\n", "plt.xlabel(\"Epsilon Value\")\n", "plt.ylim(0,10)\n", "plt.xlim(0,6)\n", "plt.hlines(y=3,xmin=0,xmax=10,colors='red',ls='--')" ] }, { "cell_type": "code", "execution_count": 204, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# How to find a good epsilon?\n", "dbscan = DBSCAN(eps=0.75)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Minimum Samples\n", "\n", " | min_samples : int, default=5\n", " | The number of samples (or total weight) in a neighborhood for a point\n", " | to be considered as a core point. This includes the point itself.\n", " \n", "\n", "How to choose minimum number of points?\n", "\n", "https://stats.stackexchange.com/questions/88872/a-routine-to-choose-eps-and-minpts-for-dbscan" ] }, { "cell_type": "code", "execution_count": 218, "metadata": {}, "outputs": [], "source": [ "outlier_percent = []\n", "\n", "for n in np.arange(1,100):\n", " \n", " # Create Model\n", " dbscan = DBSCAN(min_samples=n)\n", " dbscan.fit(two_blobs_outliers)\n", " \n", " # Log percentage of points that are outliers\n", " perc_outliers = 100 * np.sum(dbscan.labels_ == -1) / len(dbscan.labels_)\n", " \n", " outlier_percent.append(perc_outliers)\n", " " ] }, { "cell_type": "code", "execution_count": 226, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Minimum Number of Samples')" ] }, "execution_count": 226, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.lineplot(x=np.arange(1,100),y=outlier_percent)\n", "plt.ylabel(\"Percentage of Points Classified as Outliers\")\n", "plt.xlabel(\"Minimum Number of Samples\")" ] }, { "cell_type": "code", "execution_count": 229, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "num_dim = two_blobs_outliers.shape[1]\n", "\n", "dbscan = DBSCAN(min_samples=2*num_dim)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "code", "execution_count": 230, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "num_dim = two_blobs_outliers.shape[1]\n", "\n", "dbscan = DBSCAN(eps=0.75,min_samples=2*num_dim)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "code", "execution_count": 231, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dbscan = DBSCAN(min_samples=1)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "code", "execution_count": 232, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dbscan = DBSCAN(eps=0.75,min_samples=1)\n", "display_categories(dbscan,two_blobs_outliers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 1 }