From b88fad676b5eba02c2c6256b6af6476f94dd3ff5 Mon Sep 17 00:00:00 2001 From: rbbutch Date: Tue, 26 Jul 2022 13:11:36 +0000 Subject: [PATCH] Added new example notebook to demonstrate 'risk bucketing' Added a new example notebook to demonstrate 'risk bucketing' under the /use-cases folder. This is a technique used in credit risk and is relevant to FSI customers --- .../credit_risk/datasets/credit_data_risk.csv | 1001 +++++++++++++++++ use-cases/credit_risk/risk_bucketing.ipynb | 932 +++++++++++++++ use-cases/index.rst | 9 + 3 files changed, 1942 insertions(+) create mode 100644 use-cases/credit_risk/datasets/credit_data_risk.csv create mode 100644 use-cases/credit_risk/risk_bucketing.ipynb diff --git a/use-cases/credit_risk/datasets/credit_data_risk.csv b/use-cases/credit_risk/datasets/credit_data_risk.csv new file mode 100644 index 0000000000..0c85aea42c --- /dev/null +++ b/use-cases/credit_risk/datasets/credit_data_risk.csv @@ -0,0 +1,1001 @@ +,Age,Sex,Job,Housing,Saving accounts,Checking account,Credit amount,Duration,Purpose,Risk +0,67,male,2,own,NA,little,1169,6,radio/TV,good +1,22,female,2,own,little,moderate,5951,48,radio/TV,bad +2,49,male,1,own,little,NA,2096,12,education,good +3,45,male,2,free,little,little,7882,42,furniture/equipment,good 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+993,30,male,3,own,little,little,3959,36,furniture/equipment,good +994,50,male,2,own,NA,NA,2390,12,car,good +995,31,female,1,own,little,NA,1736,12,furniture/equipment,good +996,40,male,3,own,little,little,3857,30,car,good +997,38,male,2,own,little,NA,804,12,radio/TV,good +998,23,male,2,free,little,little,1845,45,radio/TV,bad +999,27,male,2,own,moderate,moderate,4576,45,car,good \ No newline at end of file diff --git a/use-cases/credit_risk/risk_bucketing.ipynb b/use-cases/credit_risk/risk_bucketing.ipynb new file mode 100644 index 0000000000..9cf09515ca --- /dev/null +++ b/use-cases/credit_risk/risk_bucketing.ipynb @@ -0,0 +1,932 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Risk Bucketing\n", + "One of the most common use cases for machine learning in financial services is estimating the probability of default on a loan.
\n", + "\n", + "Risk bucketing refers to the process of grouping borrowers with similar creditworthiness. Treating all borrowers equally will generally result in poor predictions, as the model cannot capture entirely different characteristics of the data all at once. By dividing borrowers into different groups based on risk characteristics, risk bucketing enables us to make accurate predictions.
\n", + "\n", + "Risk bucketing is a good example of an unsupervised clustering problem. The K-means algorithm (which we use here) is one way we can perform risk bucketing.
\n", + "\n", + "However, there is one major issue: how do we know the optimal number of risk buckets (clusters) to use for a given set of data/borrowers? This notebook demonstrates a number of techniques for calculating the optimal number of clusters:\n", + "- The Elbow Method (inertia)\n", + "- Silhouette scores\n", + "- GAP analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our data source is the well-known German Credit Risk data." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Unnamed: 0AgeSexJobHousingSaving accountsChecking accountCredit amountDurationPurposeRisk
0067male2ownNaNlittle11696radio/TVgood
1122female2ownlittlemoderate595148radio/TVbad
2249male1ownlittleNaN209612educationgood
3345male2freelittlelittle788242furniture/equipmentgood
4453male2freelittlelittle487024carbad
\n", + "
" + ], + "text/plain": [ + " Unnamed: 0 Age Sex Job Housing Saving accounts Checking account \\\n", + "0 0 67 male 2 own NaN little \n", + "1 1 22 female 2 own little moderate \n", + "2 2 49 male 1 own little NaN \n", + "3 3 45 male 2 free little little \n", + "4 4 53 male 2 free little little \n", + "\n", + " Credit amount Duration Purpose Risk \n", + "0 1169 6 radio/TV good \n", + "1 5951 48 radio/TV bad \n", + "2 2096 12 education good \n", + "3 7882 42 furniture/equipment good \n", + "4 4870 24 car bad " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "credit = pd.read_csv('datasets/credit_data_risk.csv')\n", + "credit.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We drop the first column *unnamed* which just numbers the rows." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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AgeJobCredit amountDuration
count1000.0000001000.0000001000.0000001000.000000
mean35.5460001.9040003271.25800020.903000
std11.3754690.6536142822.73687612.058814
min19.0000000.000000250.0000004.000000
25%27.0000002.0000001365.50000012.000000
50%33.0000002.0000002319.50000018.000000
75%42.0000002.0000003972.25000024.000000
max75.0000003.00000018424.00000072.000000
\n", + "
" + ], + "text/plain": [ + " Age Job Credit amount Duration\n", + "count 1000.000000 1000.000000 1000.000000 1000.000000\n", + "mean 35.546000 1.904000 3271.258000 20.903000\n", + "std 11.375469 0.653614 2822.736876 12.058814\n", + "min 19.000000 0.000000 250.000000 4.000000\n", + "25% 27.000000 2.000000 1365.500000 12.000000\n", + "50% 33.000000 2.000000 2319.500000 18.000000\n", + "75% 42.000000 2.000000 3972.250000 24.000000\n", + "max 75.000000 3.000000 18424.000000 72.000000" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "del credit['Unnamed: 0']\n", + "credit.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import seaborn as sns; sns.set()\n", + "plt.rcParams[\"figure.figsize\"] = (10,6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Drop all columns except for the following (numeric) ones:\n", + "- Age\n", + "- Job (ordinal ranging from 1=unskilled to 5=highly skilled)\n", + "- Credit amount\n", + "- Duration (the duration of the loan in months)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
AgeJobCredit amountDuration
067211696
1222595148
2491209612
3452788242
4532487024
\n", + "
" + ], + "text/plain": [ + " Age Job Credit amount Duration\n", + "0 67 2 1169 6\n", + "1 22 2 5951 48\n", + "2 49 1 2096 12\n", + "3 45 2 7882 42\n", + "4 53 2 4870 24" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numerical_credit = credit.select_dtypes(exclude='O')\n", + "numerical_credit.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting histograms of these four features, we can see that they are all positively skewed." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 8))\n", + "k = 0\n", + "cols = numerical_credit.columns\n", + "for i, j in zip(range(len(cols)), cols):\n", + " k +=1\n", + " plt.subplot(2, 2, k)\n", + " plt.hist(numerical_credit.iloc[:, i])\n", + " plt.title(j)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Elbow Method\n", + "Our first method for estimating the optimal number of clusters is the Elbow Method. This involves calculating *inertia* which is the sum of the squared distances of observations from their closest centroid.
\n", + "\n", + "If we plot inertia against number of clusters (k) we can see an *elbow* (i.e. the curve starts to flatten out) around the value of k=4. This is an indication that increasing the number of clusters is undesirable (when traded-off against increased complexity).
\n", + "\n", + "Here we are using the KMeans algorithm from Sklearn, as it provides inertia as part of its output. " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.cluster import KMeans\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "scaler = StandardScaler()\n", + "scaled_credit = scaler.fit_transform(numerical_credit)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "inertia = []\n", + "for k in range(1, 10):\n", + " kmeans = KMeans(n_clusters=k)\n", + " kmeans.fit(scaled_credit)\n", + " inertia.append(kmeans.inertia_)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(range(1, 10), inertia, 'bx-')\n", + "plt.xlabel('Number of Clusters (k)')\n", + "plt.ylabel('Inertia')\n", + "plt.title('The Elbow Method')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Silhouette Scores\n", + "Silhouette scores take a value between 1 and -1. A value of 1 indicates an observation that is close to the correct centroid and correctly classified. A value of -1 shows that the observation is not correctly clustered.
\n", + "\n", + "The strength of the Silhouette Score is that it takes into acount both the intracluster distance (how close observations are to their centroid) and the intercluster distance (how far apart the centroids are). The formula for Silhoutte Score is as follows:
\n", + "\\begin{equation}\n", + "Silhouette = \\frac{x - y}{max(x, y)}\n", + "\\end{equation}\n", + "where x is the mean intercluster distance between clusters, and y is the mean intracluster distance.
\n", + "\n", + "In this case, we can see that the peak Silhouette score occurs when the number of clusters (k) is 2. This implies that it is not worth using more than 2 clusters." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import cm\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.metrics import silhouette_score" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "silhouette_scores = []\n", + "for n_clusters in range(2, 10):\n", + " clusterer = KMeans(n_clusters=n_clusters)\n", + " preds = clusterer.fit_predict(scaled_credit)\n", + " centers = clusterer.cluster_centers_\n", + " silhouette_scores.append(silhouette_score(scaled_credit, preds))" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(range(2, 10), silhouette_scores, 'bx-')\n", + "plt.xlabel('Number of Clusters (k)')\n", + "plt.ylabel('Silhouette Score')\n", + "plt.title('Silhouette Scores')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Gap Analysis\n", + "Our final approach is *gap analysis*. This is based on the work of Tibshirani et al. (2001) which proposes finding the optimal number of clusters\n", + "based on a reference distribution.
\n", + "\n", + "Our data consists of $n$ independent observations of $p$ features. The Euclidean distance between observations $i$ and $i'$ is:\n", + "\\begin{equation}\n", + "d_{ii'} = \\sum_{j} (x_{ij} - x_{i'j})^2\n", + "\\end{equation}\n", + "\n", + "And the sum of all pairwise distances for points in cluster r is:\n", + "\\begin{equation}\n", + "D_{r} = \\sum_{i,i' \\in C_{r}} d_{ii'}\n", + "\\end{equation}\n", + "\n", + "Then the pooled, within-cluster sum of squares around the cluster mean is:\n", + "\\begin{equation}\n", + "W_{k} = \\sum_{r=1}^k \\frac{1}{2n_{r}}D_{r}\n", + "\\end{equation}\n", + "\n", + "The idea of this approach is to standardise the graph of $log(W_{k})$ by comparing it with its expectation under an appropriate null reference distribution of the data. The expectation of $W_{k}$ is approximately\n", + "\\begin{equation}\n", + "log(pn/12) - (2/p)log(k) + constant\n", + "\\end{equation}" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: gap-stat in /opt/conda/lib/python3.7/site-packages (2.0.1)\n", + "Requirement already satisfied: scipy in /opt/conda/lib/python3.7/site-packages (from gap-stat) (1.4.1)\n", + "Requirement already satisfied: pandas in /opt/conda/lib/python3.7/site-packages (from gap-stat) (1.0.1)\n", + "Requirement already satisfied: numpy in /opt/conda/lib/python3.7/site-packages (from gap-stat) (1.21.6)\n", + "Requirement already satisfied: python-dateutil>=2.6.1 in /opt/conda/lib/python3.7/site-packages (from pandas->gap-stat) (2.8.1)\n", + "Requirement already satisfied: pytz>=2017.2 in /opt/conda/lib/python3.7/site-packages (from pandas->gap-stat) (2019.3)\n", + "Requirement already satisfied: six>=1.5 in /opt/conda/lib/python3.7/site-packages (from python-dateutil>=2.6.1->pandas->gap-stat) (1.14.0)\n", + "\u001b[33mWARNING: Running pip as the 'root' user can result in broken permissions and conflicting behaviour with the system package manager. It is recommended to use a virtual environment instead: https://pip.pypa.io/warnings/venv\u001b[0m\u001b[33m\n", + "\u001b[0m\n", + "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip available: \u001b[0m\u001b[31;49m22.1.2\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m22.2\u001b[0m\n", + "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install gap-stat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Import the OptimalK module for calculating the gap statistic." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "from gap_statistic.optimalK import OptimalK" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Calculate the gap statistic for various values of $k$ using parallelisation." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "optimalK = OptimalK(n_jobs=8, parallel_backend='joblib')\n", + "n_clusters = optimalK(scaled_credit, cluster_array=np.arange(1, 10))" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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n_clustersgap_valuegap*ref_dispersion_stdsksk*diffdiff*
01.00.8946815788.540780213.2884180.0251666688.5669930.1133506414.390023
12.00.8101414014.859462181.7593510.0288104640.708705-0.1921634621.928813
23.01.0116533921.77536950.0382990.0093494528.8447200.0193354439.542113
34.01.0050943343.06868158.5613450.0127763860.835426-0.0054913833.630474
45.01.0329663160.50688894.4621310.0223813651.068680-0.0386743621.008430
\n", + "
" + ], + "text/plain": [ + " n_clusters gap_value gap* ref_dispersion_std sk \\\n", + "0 1.0 0.894681 5788.540780 213.288418 0.025166 \n", + "1 2.0 0.810141 4014.859462 181.759351 0.028810 \n", + "2 3.0 1.011653 3921.775369 50.038299 0.009349 \n", + "3 4.0 1.005094 3343.068681 58.561345 0.012776 \n", + "4 5.0 1.032966 3160.506888 94.462131 0.022381 \n", + "\n", + " sk* diff diff* \n", + "0 6688.566993 0.113350 6414.390023 \n", + "1 4640.708705 -0.192163 4621.928813 \n", + "2 4528.844720 0.019335 4439.542113 \n", + "3 3860.835426 -0.005491 3833.630474 \n", + "4 3651.068680 -0.038674 3621.008430 " + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gap_result = optimalK.gap_df\n", + "gap_result.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we plot the resulting gap values, we observe a sharp increase up to the point where the gap value reaches its peak. In this case this corresponds to 5 clusters. The analysis suggests that this is the optimal number for clustering." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(gap_result.n_clusters, gap_result.gap_value)\n", + "min_ylim, max_ylim = plt.ylim()\n", + "plt.axhline(np.max(gap_result.gap_value), color='r',\n", + " linestyle='dashed', linewidth=2)\n", + "plt.title('Gap Analysis')\n", + "plt.xlabel('Number of Clusters')\n", + "plt.ylabel('Gap Value')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## K-Means Clustering \n", + "After considering the results of the three analyses above, we decide that the optimal number of clusters is two (as suggested by the *Silhouette Scores*).
\n", + "\n", + "We perform K-Means clustering to separate our observations into two." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "kmeans = KMeans(n_clusters=2)\n", + "clusters = kmeans.fit_predict(scaled_credit)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, we generate some plots to visualise the clusters in two dimensions. The plots show the observations (with colour indicating the assigned cluster). Black crosses are used to show the position of the two centroids.
\n", + "\n", + "The first plot shows the relationship between the *age* and *credit* features. Here we can see that *age* is the more dispersed feature, with the centroids located vertically inline.
\n", + "\n", + "The second plot considers two continuous features: *credit* and *duration*. Here we observe two clearly separated clusters. This suggests that the *duration* feature is more volatile when compared with the *credit* feature.
\n", + "\n", + "Finally, the third plot examines the relationship between *age* and *duration*. It turns out that there are many overlapping observations across these two features." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 12))\n", + "plt.subplot(311)\n", + "plt.scatter(scaled_credit[:, 0], scaled_credit[:, 2],\n", + " c=kmeans.labels_, cmap='viridis')\n", + "plt.scatter(kmeans.cluster_centers_[:, 0],\n", + " kmeans.cluster_centers_[:, 2], s = 80,\n", + " marker= 'x', color = 'k')\n", + "plt.title('Age vs Credit')\n", + "plt.subplot(312)\n", + "plt.scatter(scaled_credit[:, 2], scaled_credit[:, 3],\n", + " c=kmeans.labels_, cmap='viridis')\n", + "plt.scatter(kmeans.cluster_centers_[:, 2],\n", + " kmeans.cluster_centers_[:, 3], s = 80,\n", + " marker= 'x', color = 'k')\n", + "plt.title('Credit vs Duration')\n", + "plt.subplot(313)\n", + "plt.scatter(scaled_credit[:, 0], scaled_credit[:, 3],\n", + " c=kmeans.labels_, cmap='viridis')\n", + "plt.scatter(kmeans.cluster_centers_[:, 0],\n", + " kmeans.cluster_centers_[:, 3], s = 120,\n", + " marker= 'x', color = 'k')\n", + "plt.title('Age vs Duration')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "instance_type": "ml.t3.medium", + "kernelspec": { + "display_name": "Python 3 (Data Science)", + "language": "python", + "name": "python3__SAGEMAKER_INTERNAL__arn:aws:sagemaker:eu-west-1:470317259841:image/datascience-1.0" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/use-cases/index.rst b/use-cases/index.rst index 9ecbaea207..a0732c2aa8 100644 --- a/use-cases/index.rst +++ b/use-cases/index.rst @@ -46,3 +46,12 @@ Pipelines with NLP for Product Rating Prediction :maxdepth: 1 product_ratings_with_pipelines/pipelines_product_ratings + + +Credit Risk +----------- + +.. toctree:: + :maxdepth: 1 + + credit_risk/risk_bucketing \ No newline at end of file