{
"cells": [
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [],
"source": [
"#import dependencies\n",
"import csv\n",
"import pandas as pd\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [],
"source": [
"train = df_samples = pd.read_excel(r'hepatitisBC.xlsx', engine='openpyxl')\n"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"\n",
"# Assuming you have a DataFrame named 'train' with columns 'prognosis' and 'Symptoms'\n",
"# 'prognosis' column contains various disease names\n",
"# 'Symptoms' column contains the symptoms\n",
"\n",
"# Calculate the total count of records\n",
"total_count = len(train)\n",
"\n",
"# Get unique disease names from the 'prognosis' column\n",
"unique_diseases = train['prognosis'].unique()\n",
"\n",
"# Create a dictionary to store prior probabilities for each disease\n",
"disease_prior_probabilities = {}\n",
"\n",
"# Calculate the prior probability for each unique disease\n",
"for disease in unique_diseases:\n",
" count_disease = len(train[train['prognosis'] == disease])\n",
" prob_disease = count_disease / total_count\n",
" disease_prior_probabilities[disease] = prob_disease\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [],
"source": [
"def sum_col(x):\n",
" if any(x)==1:\n",
" return x.values.sum()\n",
"\n",
"ndf = train.groupby('prognosis',as_index=False).agg(lambda x:(sum_col(x)))"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [],
"source": [
"ndf2=ndf.fillna(0)\n",
"df=ndf2.copy()"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [],
"source": [
"\n",
"symptom_df=df"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"\n",
"\n",
"# Calculate the total count of cases for each symptom in both diseases\n",
"total_counts = symptom_df.sum(axis=0)[1:]\n",
"\n",
"# Create a dictionary to store the conditional probabilities\n",
"p_Symptom_given_Disease = {}\n",
"\n",
"# Calculate the conditional probabilities for each symptom given each disease\n",
"for disease in symptom_df['prognosis']:\n",
" p_Symptom_given_Disease[disease] = {}\n",
" for symptom in symptom_df.columns[1:]:\n",
" if total_counts[symptom] != 0:\n",
" p_Symptom_given_Disease[disease][symptom] = symptom_df[symptom_df['prognosis'] == disease][symptom].sum() / total_counts[symptom]\n",
"\n",
"# Convert to the desired dictionary format\n",
"output_dict = {}\n",
"for disease in symptom_df['prognosis']:\n",
" output_dict[disease] = p_Symptom_given_Disease[disease]\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Warning: When cdn_resources is 'local' jupyter notebook has issues displaying graphics on chrome/safari. Use cdn_resources='in_line' or cdn_resources='remote' if you have issues viewing graphics in a notebook.\n",
"disease_symptom_graph.html\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import networkx as nx\n",
"from pyvis.network import Network\n",
"import random\n",
"# Create dictionaries for P(Disease) and P(Symptom | Disease)\n",
"\n",
"\n",
"disease_symptom_clusters = output_dict\n",
"\n",
"# Create a graph\n",
"G = nx.Graph()\n",
"\n",
"# Define a color mapping function for diseases\n",
"def get_random_color():\n",
" return \"#{:02x}{:02x}{:02x}\".format(random.randint(0, 255), random.randint(0, 255), random.randint(0, 255))\n",
"\n",
"# Calculate P(Disease | Symptoms) using Naive Bayes formula for all diseases\n",
"results = {}\n",
"sum_prob = 0.0 # To calculate the sum of probabilities for normalization\n",
"\n",
"for disease in disease_prior_probabilities:\n",
" query_prob = disease_prior_probabilities[disease]\n",
" valid_symptoms = {\n",
" symptom: disease_symptom_clusters[disease][symptom]\n",
" for symptom in disease_symptom_clusters[disease] if disease_symptom_clusters[disease][symptom] != 0\n",
" }\n",
" \n",
" if valid_symptoms:\n",
" for symptom, symptom_prob in valid_symptoms.items():\n",
" query_prob *= symptom_prob\n",
" results[disease] = query_prob\n",
" sum_prob += query_prob\n",
"\n",
"# Normalize the probabilities for diseases\n",
"for disease, probability in results.items():\n",
" results[disease] = probability / sum_prob\n",
"\n",
"# Add disease nodes with prior probabilities and assign colors dynamically\n",
"disease_colors = {}\n",
"for disease, probability in disease_prior_probabilities.items():\n",
" disease_color = get_random_color()\n",
" disease_colors[disease] = disease_color\n",
" label = f\"{disease}\\nPrior: {probability:.3f}\\nPosterior: {results[disease]:.4f}\"\n",
" G.add_node(label, color=disease_color)\n",
"\n",
"# Add symptom nodes with conditional probabilities and assign colors based on associated disease colors\n",
"for disease, symptoms in disease_symptom_clusters.items():\n",
" disease_color = disease_colors[disease]\n",
" valid_symptoms = {\n",
" symptom: symptom_prob\n",
" for symptom, symptom_prob in symptoms.items() if symptom_prob != 0\n",
" }\n",
" \n",
" for symptom, probability in valid_symptoms.items():\n",
" label = f\"{symptom}\\n{probability:.3f}\"\n",
" G.add_node(label, color=disease_color)\n",
"\n",
"# Add edges between disease nodes and associated symptom nodes\n",
"for disease, symptoms in disease_symptom_clusters.items():\n",
" for symptom, symptom_prob in symptoms.items():\n",
" if symptom_prob != 0:\n",
" disease_label = f\"{disease}\\nPrior: {disease_prior_probabilities[disease]:.3f}\\nPosterior: {results[disease]:.4f}\"\n",
" symptom_label = f\"{symptom}\\n{symptom_prob:.3f}\"\n",
" G.add_edge(disease_label, symptom_label)\n",
"\n",
"# Create a Network object\n",
"nt = Network(notebook=True, width=\"100%\", height=\"800px\")\n",
"\n",
"# Show the graph\n",
"nt.from_nx(G)\n",
"nt.show(\"disease_symptom_graph.html\")\n"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Warning: When cdn_resources is 'local' jupyter notebook has issues displaying graphics on chrome/safari. Use cdn_resources='in_line' or cdn_resources='remote' if you have issues viewing graphics in a notebook.\n",
"disease_symptom_graph.html\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import networkx as nx\n",
"from pyvis.network import Network\n",
"import random\n",
"# Create dictionaries for P(Disease) and P(Symptom | Disease)\n",
"#disease_prior_probabilities = joint_probabilities\n",
"#disease_prior_probabilities= disease_prior_probabilities\n",
"disease_symptom_clusters = output_dict\n",
"\n",
"# Symptoms in evidence\n",
"evidence_symptoms = ['itching', 'yellowing_of_eyes']\n",
"#evidence_symptoms = ['itching']\n",
"\n",
"# Create a graph\n",
"G = nx.Graph()\n",
"\n",
"# Define a color mapping function for diseases\n",
"def get_random_color():\n",
" return \"#{:02x}{:02x}{:02x}\".format(random.randint(0, 255), random.randint(0, 255), random.randint(0, 255))\n",
"\n",
"# Calculate P(Disease | Symptoms) using Naive Bayes formula for all diseases based on evidence symptoms\n",
"results = {}\n",
"sum_prob = 0.0 # To calculate the sum of probabilities for normalization\n",
"\n",
"for disease in disease_prior_probabilities:\n",
" query_prob = disease_prior_probabilities[disease]\n",
" valid_symptoms = {\n",
" symptom: disease_symptom_clusters[disease][symptom]\n",
" for symptom in evidence_symptoms if symptom in disease_symptom_clusters[disease] and disease_symptom_clusters[disease][symptom] != 0\n",
" }\n",
" \n",
" if valid_symptoms:\n",
" for symptom, symptom_prob in valid_symptoms.items():\n",
" query_prob *= symptom_prob\n",
" results[disease] = query_prob\n",
" sum_prob += query_prob\n",
"\n",
"# Normalize the probabilities for diseases\n",
"for disease, probability in results.items():\n",
" results[disease] = probability / sum_prob\n",
"\n",
"# Calculate the highest posterior probability\n",
"highest_posterior = max(results.values())\n",
"\n",
"\n",
"\n",
"# Add disease nodes with prior probabilities and assign colors dynamically\n",
"disease_colors = {}\n",
"for disease, probability in disease_prior_probabilities.items():\n",
" disease_color = get_random_color()\n",
" disease_colors[disease] = disease_color\n",
" label = f\"{disease}\\nPrior: {probability:.3f}\\nPosterior: {results[disease]:.4f}\"\n",
" G.add_node(label, color=disease_color)\n",
"\n",
"# Add symptom nodes with conditional probabilities and assign colors based on associated disease colors\n",
"for disease, symptoms in disease_symptom_clusters.items():\n",
" if any(symptom in evidence_symptoms for symptom in symptoms):\n",
" disease_color = disease_colors[disease]\n",
" valid_symptoms = {\n",
" symptom: symptom_prob\n",
" for symptom, symptom_prob in symptoms.items() if symptom in evidence_symptoms and symptom_prob != 0\n",
" }\n",
"\n",
" for symptom, probability in valid_symptoms.items():\n",
" label = f\"{symptom}\\n{probability:.3f}\"\n",
" G.add_node(label, color=disease_color)\n",
"\n",
"# Add edges between disease nodes and associated symptom nodes\n",
"for disease, symptoms in disease_symptom_clusters.items():\n",
" if any(symptom in evidence_symptoms for symptom in symptoms):\n",
" for symptom, symptom_prob in symptoms.items():\n",
" if symptom in evidence_symptoms and symptom_prob != 0:\n",
" disease_label = f\"{disease}\\nPrior: {disease_prior_probabilities[disease]:.3f}\\nPosterior: {results[disease]:.4f}\"\n",
" symptom_label = f\"{symptom}\\n{symptom_prob:.3f}\"\n",
" G.add_edge(disease_label, symptom_label)\n",
"\n",
"# Create a Network object\n",
"nt = Network(notebook=True, width=\"100%\", height=\"800px\")\n",
"\n",
"# Show the graph\n",
"nt.from_nx(G)\n",
"nt.show(\"disease_symptom_graph.html\")\n"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"\n",
"import time\n",
"import os\n",
"import pandas as pd\n",
"import numpy as np\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.preprocessing import OrdinalEncoder\n",
"from sklearn.compose import ColumnTransformer\n",
"import time\n",
"\n",
"%matplotlib inline\n",
"\n",
"from pgmpy.estimators import BayesianEstimator\n",
"from pgmpy.models import BayesianModel\n",
"from pgmpy.inference import VariableElimination\n",
"from pgmpy.factors.discrete import State\n",
"from pgmpy.sampling import BayesianModelSampling\n",
"from pgmpy.sampling import GibbsSampling\n",
"import networkx as nx"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [],
"source": [
"cleanup_nums = {\"prognosis\": {\"Hepatitis B\": 0, \"Hepatitis C\": 1}}"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [],
"source": [
"train2 = train.replace(cleanup_nums)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [],
"source": [
"architecture= [(\"itching\", \"prognosis\"),\n",
" \n",
" \n",
" (\"fatigue\", \"prognosis\"),\n",
" (\"lethargy\", \"prognosis\"),\n",
" \n",
" (\"yellowish_skin\", \"prognosis\"),\n",
" (\"dark_urine\", \"prognosis\"),\n",
" (\"nausea\", \"prognosis\"),\n",
" (\"loss_of_appetite\", \"prognosis\"),\n",
" (\"abdominal_pain\", \"prognosis\"),\n",
" \n",
" \n",
" (\"yellow_urine\", \"prognosis\"),\n",
" (\"yellowing_of_eyes\", \"prognosis\"),\n",
" \n",
" (\"malaise\", \"prognosis\"),\n",
" \n",
" (\"family_history\", \"prognosis\"),\n",
" (\"receiving_blood_transfusion\", \"prognosis\"),\n",
" (\"receiving_unsterile_injections\", \"prognosis\")]"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [],
"source": [
"model = BayesianModel(architecture)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [],
"source": [
"nodes = list(model.nodes())\n",
"edges = list(model.edges())\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"DAG = nx.DiGraph()\n",
"DAG.add_edges_from(edges)\n",
"\n",
"fig = plt.figure(figsize = (16,12))\n",
"pos = nx.spring_layout(DAG) \n",
"\n",
"nx.draw_networkx_nodes(DAG, pos = pos, node_color = 'red')\n",
"nx.draw_networkx_labels(DAG, pos = pos)\n",
"nx.draw_networkx_edges(DAG, pos = pos, edge_color = 'black', width = 1.5, arrows = True)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Check model: True\n",
"\n",
"CPT of itching:\n",
"+------------+-------+\n",
"| itching(0) | 0.524 |\n",
"+------------+-------+\n",
"| itching(1) | 0.476 |\n",
"+------------+-------+ \n",
"\n",
"CPT of prognosis:\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"IOPub data rate exceeded.\n",
"The notebook server will temporarily stop sending output\n",
"to the client in order to avoid crashing it.\n",
"To change this limit, set the config variable\n",
"`--NotebookApp.iopub_data_rate_limit`.\n",
"\n",
"Current values:\n",
"NotebookApp.iopub_data_rate_limit=1000000.0 (bytes/sec)\n",
"NotebookApp.rate_limit_window=3.0 (secs)\n",
"\n"
]
}
],
"source": [
"from IPython.core.display import display, HTML\n",
"\n",
"# disable text wrapping in output cell\n",
"display(HTML(\"\"))\n",
"\n",
"model.cpds = []\n",
"model.fit( data=train2\n",
" , estimator=BayesianEstimator\n",
" , prior_type=\"BDeu\"\n",
" , equivalent_sample_size=10\n",
" ,complete_samples_only=False)\n",
"\n",
"print(f'Check model: {model.check_model()}\\n')\n",
"for cpd in model.get_cpds():\n",
" print(f'CPT of {cpd.variable}:')\n",
" print(cpd, '\\n')"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [],
"source": [
"from pgmpy.inference import VariableElimination\n",
"inference =VariableElimination(model)"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [],
"source": [
"\n",
"BMS_inference = BayesianModelSampling(model)\n",
"GS_inference = GibbsSampling(model)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [],
"source": [
"# Dictionary of the discrete value to let the method access at CPTs\n",
"value_dict = {\n",
" True: 1,\n",
" False: 0,\n",
" '0-15': 0,\n",
" '16-45': 1,\n",
" '46-90': 2,\n",
" '1': 0,\n",
" '2': 1,\n",
" '3': 2,\n",
" '4': 3,\n",
" '5': 4,\n",
" 'sv': 0,\n",
" '<=5': 1,\n",
" '5.5-6.5': 2,\n",
" '7-9.5': 3,\n",
" '>=10': 4\n",
"}\n",
"\n",
"def discretization(x, value):\n",
" '''\n",
" Function that helps to discretize for likelihood weighting and rejection sampling\n",
" x : unknown variable\n",
" value : value to analyze for the unknown variable based on the value of the query variable\n",
" '''\n",
" if x == value_dict[value]:\n",
" return 1\n",
" else:\n",
" return 0\n",
"\n",
"def prob_LW(samples, variable, query_value):\n",
" '''\n",
" Function that calculates the likelihood weighting probability\n",
" samples : sample from which to extract the probability value\n",
" variable : variable of the query\n",
" query_value : value of the query variable\n",
" '''\n",
" discretize = np.vectorize(discretization)\n",
" samples_thresholded = discretize(samples[variable], query_value)\n",
" return round(np.sum(np.dot(samples_thresholded, samples['_weight'])) / np.sum(samples['_weight']), 2)\n",
"\n",
"def prob_RS(samples, variable, query_value):\n",
" '''\n",
" Function that calculates the rejection sampling probability\n",
" samples : sample from which to extract the probability value\n",
" variable : variable of the query\n",
" query_value : value of the query variable\n",
" '''\n",
" discretize = np.vectorize(discretization)\n",
" samples_rejection = discretize(samples[variable], query_value)\n",
" return np.mean(samples_rejection, axis=0)\n",
"\n",
"def get_state_index(var, var_val):\n",
" '''\n",
" Function that returns the index of a given value for a variable\n",
" '''\n",
" return inference.query([var], show_progress=False).state_names.get(var).index(var_val)\n",
"\n",
"def prob_GS(samples, query_variable, query_evidence, query_value):\n",
" \"\"\"\n",
" Computes the probability of Gibbs Sampling given the samples\n",
" it will call a pgmpy query function building the string for the requested query\n",
" \"\"\"\n",
" gs_query = \"\"\n",
" for evidence, value in query_evidence.items():\n",
" gs_query += evidence + \" == \" + str(get_state_index(evidence, value))\n",
" if evidence != list(query_evidence.keys())[-1]:\n",
" # add the '&' except for the last element\n",
" gs_query += \" & \"\n",
"\n",
" # check denominator to avoid division by 0\n",
" if samples.query(gs_query).shape[0] == 0:\n",
" return 0.0\n",
" else:\n",
" return (samples.query(query_variable[0] + \" == \" + str(get_state_index(query_variable[0], query_value)) + \" & \" + gs_query).shape[0] \n",
" / samples.query(gs_query).shape[0])\n",
"\n",
"#Absolute error function\n",
"def absolute_error(exact_value, approx_value):\n",
" '''\n",
" Function that computes the absolute error between the approximated and exact probabilities\n",
" exact_value : reference probability value of the query\n",
" approx_value : approximate probability value of the query\n",
" '''\n",
" return np.absolute(exact_value - approx_value)\n",
"\n",
"#Relative error function\n",
"def relative_error(exact_value, approx_value):\n",
" '''\n",
" Function that computes the absolute error between the approximated and exact probabilities\n",
" exact_value : reference probability value of the query\n",
" approx_value : approximate probability value of the query\n",
" '''\n",
" return np.absolute(((exact_value - approx_value) / approx_value))\n",
"\n",
"def query_preprocessing(query_variable, query_evidence, query_value):\n",
" '''\n",
" Function that returns the processed query variable, evidence to adapt them to the methods\n",
" of likelihood weighting and rejection sampling\n",
"\n",
" query_variable: list with one unknown variable of the query\n",
" query_evidence: dict representing the evidence of the query\n",
" query_value : value of the query var to find in the query\n",
" '''\n",
" evidence = []\n",
"\n",
" for (evidence_var, evidence_value) in query_evidence.items():\n",
" state = State(evidence_var, evidence_value)\n",
" evidence.append(state)\n",
"\n",
" default_query_prob = highest_posterior # Replace this with your desired default value\n",
" query_prob = default_query_prob\n",
" variables = query_variable[0]\n",
"\n",
" return query_prob, evidence, variables\n",
"\n",
"\n",
"def run_experiment(sample_size,query_variable,query_evidence,query_value):\n",
" '''\n",
" Function that return the result of a sampling experiment using likelihood weighting,\n",
" rejection sampling and Gibbs sampling\n",
"\n",
" sample_size : size of the sample for the experiment\n",
" query_variable : list with one unknown variable of the query\n",
" query_evidence : dict representing the evidence of the query\n",
" query_value: : value of the query var to find in the query\n",
" '''\n",
"\n",
" #Rounding precision\n",
" precision = 3\n",
"\n",
" #Preprocessing for the LW and RS methods\n",
" \n",
" query_prob,evidence,variable = query_preprocessing(query_variable,query_evidence,query_value)\n",
" \n",
"\n",
" t0_LW = time.time()\n",
" samples_LW = BMS_inference.likelihood_weighted_sample(evidence = evidence, size=sample_size, return_type='recarray')\n",
" approx_prob_LW = prob_LW(samples_LW,variable,query_value)\n",
" time_LW = round(time.time() - t0_LW, precision)\n",
"\n",
" t0_RS = time.time()\n",
" samples_RS = BMS_inference.rejection_sample(evidence=evidence, size=sample_size, return_type='recarray',show_progress=False)\n",
" approx_prob_RS = prob_RS(samples_RS,variable,query_value)\n",
" time_RS = round(time.time() - t0_RS, precision)\n",
"\n",
"\n",
" t0_GS = time.time()\n",
" samples_GS = GS_inference.sample(size=sample_size, seed=37)\n",
" approx_prob_GS = prob_GS(samples_GS,query_variable,query_evidence,query_value)\n",
" time_GS = round(time.time() - t0_GS, precision)\n",
"\n",
" # Return results\n",
" return np.array([(sample_size,query_prob,\n",
" approx_prob_RS, absolute_error(query_prob,approx_prob_RS), relative_error(query_prob,approx_prob_RS),time_RS,\n",
" approx_prob_LW, absolute_error(query_prob,approx_prob_LW), relative_error(query_prob,approx_prob_LW),time_LW,\n",
" approx_prob_GS, absolute_error(query_prob,approx_prob_GS), relative_error(query_prob,approx_prob_GS),time_GS)],\n",
" dtype=[('sample_size', '\n",
"\n",
"\n",
" \n",
" \n",
" | \n",
" sample_size | \n",
" query_prob | \n",
" approx_prob_RS | \n",
" abs_error_RS | \n",
" rel_error_RS | \n",
" time_RS | \n",
" approx_prob_LW | \n",
" abs_error_LW | \n",
" rel_error_LW | \n",
" time_LW | \n",
" approx_prob_GS | \n",
" abs_error_GS | \n",
" rel_error_GS | \n",
" time_GS | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 316 | \n",
" 0.526316 | \n",
" 0.531646 | \n",
" 0.005330 | \n",
" 0.010025 | \n",
" 3.927 | \n",
" 0.52 | \n",
" 0.006316 | \n",
" 0.012146 | \n",
" 3.553 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 27.101 | \n",
"
\n",
" \n",
" 1 | \n",
" 599 | \n",
" 0.526316 | \n",
" 0.517529 | \n",
" 0.008787 | \n",
" 0.016978 | \n",
" 4.172 | \n",
" 0.50 | \n",
" 0.026316 | \n",
" 0.052632 | \n",
" 4.202 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 26.266 | \n",
"
\n",
" \n",
" 2 | \n",
" 1136 | \n",
" 0.526316 | \n",
" 0.529930 | \n",
" 0.003614 | \n",
" 0.006819 | \n",
" 3.907 | \n",
" 0.49 | \n",
" 0.036316 | \n",
" 0.074114 | \n",
" 3.880 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 32.663 | \n",
"
\n",
" \n",
" 3 | \n",
" 2154 | \n",
" 0.526316 | \n",
" 0.489786 | \n",
" 0.036529 | \n",
" 0.074582 | \n",
" 4.415 | \n",
" 0.52 | \n",
" 0.006316 | \n",
" 0.012146 | \n",
" 4.206 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 30.888 | \n",
"
\n",
" \n",
" 4 | \n",
" 4084 | \n",
" 0.526316 | \n",
" 0.488002 | \n",
" 0.038314 | \n",
" 0.078512 | \n",
" 5.455 | \n",
" 0.51 | \n",
" 0.016316 | \n",
" 0.031992 | \n",
" 5.036 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 32.061 | \n",
"
\n",
" \n",
" 5 | \n",
" 7742 | \n",
" 0.526316 | \n",
" 0.502454 | \n",
" 0.023862 | \n",
" 0.047490 | \n",
" 5.120 | \n",
" 0.50 | \n",
" 0.026316 | \n",
" 0.052632 | \n",
" 3.741 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 38.361 | \n",
"
\n",
" \n",
" 6 | \n",
" 14677 | \n",
" 0.526316 | \n",
" 0.500307 | \n",
" 0.026009 | \n",
" 0.051986 | \n",
" 3.863 | \n",
" 0.51 | \n",
" 0.016316 | \n",
" 0.031992 | \n",
" 3.771 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 47.785 | \n",
"
\n",
" \n",
" 7 | \n",
" 27825 | \n",
" 0.526316 | \n",
" 0.497969 | \n",
" 0.028346 | \n",
" 0.056924 | \n",
" 4.337 | \n",
" 0.50 | \n",
" 0.026316 | \n",
" 0.052632 | \n",
" 4.322 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 67.236 | \n",
"
\n",
" \n",
" 8 | \n",
" 52749 | \n",
" 0.526316 | \n",
" 0.498531 | \n",
" 0.027785 | \n",
" 0.055734 | \n",
" 4.422 | \n",
" 0.50 | \n",
" 0.026316 | \n",
" 0.052632 | \n",
" 5.054 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 96.443 | \n",
"
\n",
" \n",
" 9 | \n",
" 100000 | \n",
" 0.526316 | \n",
" 0.498570 | \n",
" 0.027746 | \n",
" 0.055651 | \n",
" 5.236 | \n",
" 0.50 | \n",
" 0.026316 | \n",
" 0.052632 | \n",
" 5.054 | \n",
" 1.0 | \n",
" 0.473684 | \n",
" 0.473684 | \n",
" 154.831 | \n",
"
\n",
" \n",
"
\n",
""
],
"text/plain": [
" sample_size query_prob approx_prob_RS abs_error_RS rel_error_RS \\\n",
"0 316 0.526316 0.531646 0.005330 0.010025 \n",
"1 599 0.526316 0.517529 0.008787 0.016978 \n",
"2 1136 0.526316 0.529930 0.003614 0.006819 \n",
"3 2154 0.526316 0.489786 0.036529 0.074582 \n",
"4 4084 0.526316 0.488002 0.038314 0.078512 \n",
"5 7742 0.526316 0.502454 0.023862 0.047490 \n",
"6 14677 0.526316 0.500307 0.026009 0.051986 \n",
"7 27825 0.526316 0.497969 0.028346 0.056924 \n",
"8 52749 0.526316 0.498531 0.027785 0.055734 \n",
"9 100000 0.526316 0.498570 0.027746 0.055651 \n",
"\n",
" time_RS approx_prob_LW abs_error_LW rel_error_LW time_LW \\\n",
"0 3.927 0.52 0.006316 0.012146 3.553 \n",
"1 4.172 0.50 0.026316 0.052632 4.202 \n",
"2 3.907 0.49 0.036316 0.074114 3.880 \n",
"3 4.415 0.52 0.006316 0.012146 4.206 \n",
"4 5.455 0.51 0.016316 0.031992 5.036 \n",
"5 5.120 0.50 0.026316 0.052632 3.741 \n",
"6 3.863 0.51 0.016316 0.031992 3.771 \n",
"7 4.337 0.50 0.026316 0.052632 4.322 \n",
"8 4.422 0.50 0.026316 0.052632 5.054 \n",
"9 5.236 0.50 0.026316 0.052632 5.054 \n",
"\n",
" approx_prob_GS abs_error_GS rel_error_GS time_GS \n",
"0 1.0 0.473684 0.473684 27.101 \n",
"1 1.0 0.473684 0.473684 26.266 \n",
"2 1.0 0.473684 0.473684 32.663 \n",
"3 1.0 0.473684 0.473684 30.888 \n",
"4 1.0 0.473684 0.473684 32.061 \n",
"5 1.0 0.473684 0.473684 38.361 \n",
"6 1.0 0.473684 0.473684 47.785 \n",
"7 1.0 0.473684 0.473684 67.236 \n",
"8 1.0 0.473684 0.473684 96.443 \n",
"9 1.0 0.473684 0.473684 154.831 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n"
]
},
{
"data": {
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