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"# instantiate the model (using the default parameters)\n",
"forest = RandomForestClassifier(n_estimators=300, max_depth=5, random_state=0)\n",
"# fit, reshape X to be of shape (n_samples, n_features)\n",
"forest = forest.fit(train_labeled.X.values.reshape(-1, 1), train_labeled.result_Y)\n",
"\n",
"# predict probabilities and attach to data\n",
"label_probs_forest = forest.predict_proba(test.X.values.reshape(-1, 1))\n",
"test = test.assign(B_prob_0_forest=label_probs_forest[:, 0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's plot the failure rates against the acceptance rates using the difference."
]
},
{
"cell_type": "code",
"metadata": {
"scrolled": false
},
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[0.0179 0.0179 0. 0.0199 0.0183 0.0274]\n",
" [0.0312 0.0357 0.0022 0.0319 0.0568 0.0443]\n",
" [0.0625 0.067 0.0167 0.0677 0.0991 0.0928]\n",
" [0.1071 0.1071 0.0366 0.1116 0.1335 0.1335]\n",
" [0.1607 0.1473 0.1126 0.1633 0.1625 0.1576]\n",
" [0.2098 0.2098 0.207 0.2271 0.1854 0.188 ]\n",
" [0.2679 0.2679 0.2818 0.2749 0.1993 0.2011]\n",
" [0.3125 0.3214 0.3877 0.3546 0.2102 0.2131]]\n"
"failure_rates = np.zeros((8, 6))\n",
" ## Contraction, logistic regression\n",
" failure_rates[r - 1, 0] = contraction(\n",
" test[test.decision_T == 1], 'judgeID_J', 'decision_T', 'result_Y',\n",
" 'B_prob_0_logreg', 'acceptanceRate_R', r / 10, False)\n",
" \n",
" ## Contraction, random forest\n",
" failure_rates[r - 1, 1] = contraction(\n",
" test[test.decision_T == 1], 'judgeID_J', 'decision_T', 'result_Y',\n",
" 'B_prob_0_forest', 'acceptanceRate_R', r / 10, False)\n",
" ## Human error rate - Correct?\n",
" # Get judges with correct leniency as list\n",
" correct_leniency_list = test_labeled.judgeID_J[test_labeled['acceptanceRate_R'].round(1) ==\n",
" r / 10]\n",
"\n",
" # Released are the people they judged and released, T = 1\n",
" released = test_labeled[test_labeled.judgeID_J.isin(correct_leniency_list)\n",
" & (test_labeled.decision_T == 1)]\n",
"\n",
" # Get their failure rate, aka ratio of reoffenders to number of people judged in total\n",
" failure_rates[r - 1, 2] = np.sum(\n",
" released.result_Y == 0) / correct_leniency_list.shape[0]\n",
"\n",
" ## True evaluation -- didn't mention using contraction here???\n",
" failure_rates[r - 1, 3] = contraction(test, 'judgeID_J', 'decision_T',\n",
" 'result_Y', 'B_prob_0_logreg',\n",
" 'acceptanceRate_R', r / 10, False)\n",
"\n",
" ## Causal model with logistic regression\n",
" failure_rates[r - 1, 4] = ep([r / 10], test_labeled, 'result_Y', 'X', logreg)\n",
" ## Causal model with random forest classifier\n",
" failure_rates[r - 1, 5] = ep([r / 10], test_labeled, 'result_Y', 'X', forest)\n",
"\n",
"# klassifikaatioille scipy.stats semin kautta error barit xerr ja yerr argumenttien kautta\n",
"\n",
"plt.figure(figsize=(14, 8))\n",
"plt.plot(np.arange(0.1, 0.9, .1), failure_rates[:, 0], label='Contraction, logistic')\n",
"plt.plot(np.arange(0.1, 0.9, .1), failure_rates[:, 1], label='Contraction, forest')\n",
"plt.plot(np.arange(0.1, 0.9, .1), failure_rates[:, 2], label='\"Human judges\"')\n",
"plt.plot(np.arange(0.1, 0.9, .1), failure_rates[:, 3], label='True Evaluation')\n",
"\n",
"plt.plot(np.arange(0.1, 0.9, .1), failure_rates[:, 4], label='Causal model, log.')\n",
"plt.plot(np.arange(0.1, 0.9, .1), failure_rates[:, 5], label='Causal model, r.f.')\n",
"plt.title('Failure rate vs. Acceptance rate')\n",
"plt.xlabel('Acceptance rate')\n",
"plt.ylabel('Failure rate')\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"with np.printoptions(precision=4, suppress=True):\n",
" print(failure_rates)"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Failure rates still too high. Order of curves now correct."
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
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},
{
"data": {
"text/plain": [
"array([0. , 0. , 0.00058348, 0.00125031, 0.00250063,\n",
" 0.00475119, 0.00675169, 0.00916896, 0.012003 , 0.01508711,\n",
" 0.01850463, 0.02242227, 0.02583979, 0.02925731, 0.03367509,\n",
" 0.03700925, 0.04101025, 0.04467784, 0.04867884, 0.05326332,\n",
" 0.05776444, 0.06234892, 0.06726682, 0.07151788, 0.07551888,\n",
" 0.07951988, 0.08360423, 0.08877219, 0.09218971, 0.09569059,\n",
" 0.09960824, 0.10394265, 0.1089439 , 0.11327832, 0.11736267,\n",
" 0.11961324, 0.12244728, 0.12511461, 0.12836542, 0.13119947,\n",
" 0.13453363, 0.13770109, 0.14011836, 0.14486955, 0.14695341,\n",
" 0.1498708 , 0.15312161, 0.15553888, 0.15837293, 0.16104026,\n",
" 0.16395766, 0.16662499, 0.16937568, 0.17262649, 0.17512712,\n",
" 0.17671084, 0.17821122, 0.18046178, 0.18321247, 0.18471284,\n",
" 0.18621322, 0.18846378, 0.18938068, 0.19104776, 0.19238143,\n",
" 0.19404851, 0.19554889, 0.1967992 , 0.1978828 , 0.19913312,\n",
" 0.1998833 , 0.20130033, 0.20246728, 0.20305076, 0.20446778,\n",
" 0.20555139, 0.20705176, 0.20805201, 0.20913562, 0.20996916,\n",
" 0.2108027 , 0.2117196 , 0.21221972, 0.21255314, 0.21288655,\n",
" 0.21330333, 0.21347003, 0.21380345, 0.21447028, 0.2148037 ,\n",
" 0.21513712, 0.21563724, 0.21613737, 0.21638743, 0.21647078,\n",
" 0.21647078, 0.21647078, 0.21647078, 0.21647078, 0.21647078])"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
"x_vals = np.linspace(0, 1, 100)\n",
"y_vals = ep(x_vals, test_labeled, 'result_Y', 'X', logreg)\n",
"plt.figure(figsize=(14, 8))\n",
"plt.plot(x_vals, y_vals)\n",
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### On COMPAS data\n",
"\n",
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"#### Predictive models\n",
"\n",
"Let's build the predictive models (first here random forest and logistic regression). Some of our variables are string so they will first have to be transformed to be dummy / indicator variables."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"# convert string values to dummies, drop first so full rank\n",
"compas_dummy = pd.get_dummies(compas, columns=['c_charge_degree', 'race', 'age_cat', 'score_text', 'sex'], drop_first=True)\n",
"\n",
"########\n",
"\n",
"predict_columns = ['priors_count', 'days_b_screening_arrest', 'length_of_stay',\n",
" 'c_charge_degree_M', 'race_Asian', 'race_Caucasian', 'race_Hispanic',\n",
" 'race_Native American', 'race_Other', 'age_cat_Greater than 45',\n",
" 'age_cat_Less than 25', 'score_text_Low', 'score_text_Medium', 'sex_Male']\n",
"\n",
"response_column = 'two_year_recid'\n",
"\n",
"# instantiate the model (using the default parameters)\n",
"logreg_c = LogisticRegression(solver='lbfgs', max_iter=1000)\n",
"\n",
"# fit, reshape X to be of shape (n_samples, n_features)\n",
"logreg_c.fit(compas_dummy[predict_columns], compas_dummy[response_column])\n",
"\n",
"# predict probabilities and attach to data\n",
"#label_probs_logreg = logreg_c.predict_proba(test.X.values.reshape(-1, 1))\n",
"#test = test.assign(B_prob_0_machine=label_probs_logreg[:, 0])\n",
"\n",
"########\n",
"\n",
"# instantiate the model\n",
"forest_c = RandomForestClassifier(n_estimators=300, max_depth=5, random_state=0)\n",
"\n",
"# fit, reshape X to be of shape (n_samples, n_features)\n",
"forest_c = forest.fit(compas_dummy[predict_columns], compas_dummy[response_column])\n",
"\n",
"# predict probabilities and attach to data\n",
"#label_probs_forest = forest.predict_proba(test.X.values.reshape(-1, 1))\n",
"#test = test.assign(B_prob_0_forest=label_probs_forest[:, 0])"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"failures_compas = np.zeros((11, 2))\n",
"\n",
"for r in np.arange(0, 11):\n",
" ## Causal model with logistic regression\n",
" failures_compas[r, 0] = ep([r / 10], compas_dummy, response_column, predict_columns, logreg_c)\n",
" \n",
" ## Causal model with random forest classifier\n",
" failures_compas[r, 1] = ep([r / 10], compas_dummy, response_column, predict_columns, forest_c)\n",
"\n",
"# klassifikaatioille scipy.stats semin kautta error barit xerr ja yerr argumenttien kautta\n",
"\n",
"plt.figure(figsize=(14, 8))\n",
"plt.plot(np.arange(0, 11) / 10, failures_compas[:, 0], label='Causal model, log.')\n",
"plt.plot(np.arange(0, 11) / 10, failures_compas[:, 1], label='Causal model, for.')\n",
"\n",
"plt.title('Failure rate vs. Acceptance rate - COMPAS')\n",
"plt.xlabel('Leniency')\n",
"plt.ylabel('Empirical performance')\n",
"plt.legend()\n",
"plt.show()\n"
}
],
"metadata": {
"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": "3.6.7"
"number_sections": true,
"sideBar": true,
"skip_h1_title": true,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": true,
"toc_position": {
"height": "calc(100% - 180px)",
"left": "10px",
"top": "150px",
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},
"varInspector": {
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