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Commit 91bfa09b authored by Almouhannad's avatar Almouhannad
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Add algorithms

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Showing with 658 additions and 17 deletions
.gitignore
View file @ 91bfa09b
__pycache__/constants.cpython-311.pyc __pycache__/constants.cpython-311.pyc
data/bread_basket_preprocessed.csv
constants.py
View file @ 91bfa09b
...@@ -2,4 +2,6 @@ class CONSTANTS: ...@@ -2,4 +2,6 @@ class CONSTANTS:
DATASET_PATH = 'data/bread_basket.csv' DATASET_PATH = 'data/bread_basket.csv'
DATASET_SHAPE = (20507, 5) DATASET_SHAPE = (20507, 5)
PREPROCESSED_DATASET_PATH = 'data/bread_basket_preprocessed.csv' PREPROCESSED_DATASET_PATH = 'data/bread_basket_preprocessed.csv'
PREPROCESSED_DATASET_SHAPE = (9465, 94) PREPROCESSED_DATASET_SHAPE = (9465, 94)
\ No newline at end of file MIN_SUPPORT_VALUE = 0.2 # Adjust this value based on problem
MIN_CONFIDENCE_VALUE = 0.5 # Adjust this value based on problem
\ No newline at end of file
hw1.ipynb
View file @ 91bfa09b
...@@ -33,9 +33,21 @@ ...@@ -33,9 +33,21 @@
"import pandas as pd\n", "import pandas as pd\n",
"\n", "\n",
"from mlxtend.frequent_patterns import apriori, association_rules\n", "from mlxtend.frequent_patterns import apriori, association_rules\n",
"from mlxtend.frequent_patterns import fpgrowth\n", "from mlxtend.frequent_patterns import fpgrowth"
"\n", ]
"from constants import CONSTANTS" },
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from constants import CONSTANTS\n",
"# Some more magic so that the notebook will reload external python modules;\n",
"# see http://stackoverflow.com/questions/1907993/autoreload-of-modules-in-ipython\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%reload_ext autoreload"
] ]
}, },
{ {
...@@ -54,7 +66,7 @@ ...@@ -54,7 +66,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -81,7 +93,7 @@ ...@@ -81,7 +93,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -119,7 +131,7 @@ ...@@ -119,7 +131,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -143,7 +155,7 @@ ...@@ -143,7 +155,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 7,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -170,7 +182,7 @@ ...@@ -170,7 +182,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 8,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -196,7 +208,7 @@ ...@@ -196,7 +208,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 9,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -236,7 +248,7 @@ ...@@ -236,7 +248,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 10,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -281,7 +293,7 @@ ...@@ -281,7 +293,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 11,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -355,7 +367,7 @@ ...@@ -355,7 +367,7 @@
"5 3 Cookies" "5 3 Cookies"
] ]
}, },
"execution_count": 10, "execution_count": 11,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
...@@ -367,7 +379,7 @@ ...@@ -367,7 +379,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 12,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -394,7 +406,7 @@ ...@@ -394,7 +406,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 12, "execution_count": 13,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
...@@ -436,11 +448,13 @@ ...@@ -436,11 +448,13 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 13, "execution_count": 14,
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
"df.to_csv(CONSTANTS.PREPROCESSED_DATASET_PATH)" "df.to_csv(CONSTANTS.PREPROCESSED_DATASET_PATH, index=False)\n",
"# Free memory\n",
"df = None"
] ]
}, },
{ {
...@@ -450,6 +464,318 @@ ...@@ -450,6 +464,318 @@
"# ***2. Extracting rules using Apriori***" "# ***2. Extracting rules using Apriori***"
] ]
}, },
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ***2.1. Load dataset***"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Dataset loaded successfully\n"
]
}
],
"source": [
"df = None\n",
"df = pd.read_csv(CONSTANTS.PREPROCESSED_DATASET_PATH)\n",
"assert df.shape == CONSTANTS.PREPROCESSED_DATASET_SHAPE, f\"Expected shape {CONSTANTS.PREPROCESSED_DATASET_SHAPE}, but got {df.shape}\" \n",
"print(f\"Dataset loaded successfully\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**We'll deal only with first 15 transactions**"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"df = df.head(15)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ***2.2. Get repeated item sets***"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Repeated item sets using Apriori with min_support = 0.2:\n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>support</th>\n",
" <th>itemsets</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.466667</td>\n",
" <td>(Bread)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.266667</td>\n",
" <td>(Coffee)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.333333</td>\n",
" <td>(Medialuna)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.200000</td>\n",
" <td>(Muffin)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.400000</td>\n",
" <td>(Pastry)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>0.200000</td>\n",
" <td>(Scandinavian)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>0.200000</td>\n",
" <td>(Pastry, Bread)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>0.200000</td>\n",
" <td>(Coffee, Pastry)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>0.200000</td>\n",
" <td>(Pastry, Medialuna)</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" support itemsets\n",
"0 0.466667 (Bread)\n",
"1 0.266667 (Coffee)\n",
"2 0.333333 (Medialuna)\n",
"3 0.200000 (Muffin)\n",
"4 0.400000 (Pastry)\n",
"5 0.200000 (Scandinavian)\n",
"6 0.200000 (Pastry, Bread)\n",
"7 0.200000 (Coffee, Pastry)\n",
"8 0.200000 (Pastry, Medialuna)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"min_support = CONSTANTS.MIN_SUPPORT_VALUE\n",
"repeated_item_sets_apriori = apriori(df, min_support=min_support, use_colnames=True)\n",
"print(f\"Repeated item sets using Apriori with min_support = {min_support}:\")\n",
"repeated_item_sets_apriori"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ***2.3. Get rules***"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Association rules using Apriori with min_support = 0.2 and min_confidence = 0.5:\n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>antecedents</th>\n",
" <th>consequents</th>\n",
" <th>antecedent support</th>\n",
" <th>consequent support</th>\n",
" <th>support</th>\n",
" <th>confidence</th>\n",
" <th>lift</th>\n",
" <th>leverage</th>\n",
" <th>conviction</th>\n",
" <th>zhangs_metric</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>(Pastry)</td>\n",
" <td>(Bread)</td>\n",
" <td>0.400000</td>\n",
" <td>0.466667</td>\n",
" <td>0.2</td>\n",
" <td>0.50</td>\n",
" <td>1.071429</td>\n",
" <td>0.013333</td>\n",
" <td>1.066667</td>\n",
" <td>0.111111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>(Coffee)</td>\n",
" <td>(Pastry)</td>\n",
" <td>0.266667</td>\n",
" <td>0.400000</td>\n",
" <td>0.2</td>\n",
" <td>0.75</td>\n",
" <td>1.875000</td>\n",
" <td>0.093333</td>\n",
" <td>2.400000</td>\n",
" <td>0.636364</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>(Pastry)</td>\n",
" <td>(Coffee)</td>\n",
" <td>0.400000</td>\n",
" <td>0.266667</td>\n",
" <td>0.2</td>\n",
" <td>0.50</td>\n",
" <td>1.875000</td>\n",
" <td>0.093333</td>\n",
" <td>1.466667</td>\n",
" <td>0.777778</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>(Pastry)</td>\n",
" <td>(Medialuna)</td>\n",
" <td>0.400000</td>\n",
" <td>0.333333</td>\n",
" <td>0.2</td>\n",
" <td>0.50</td>\n",
" <td>1.500000</td>\n",
" <td>0.066667</td>\n",
" <td>1.333333</td>\n",
" <td>0.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>(Medialuna)</td>\n",
" <td>(Pastry)</td>\n",
" <td>0.333333</td>\n",
" <td>0.400000</td>\n",
" <td>0.2</td>\n",
" <td>0.60</td>\n",
" <td>1.500000</td>\n",
" <td>0.066667</td>\n",
" <td>1.500000</td>\n",
" <td>0.500000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" antecedents consequents antecedent support consequent support support \\\n",
"0 (Pastry) (Bread) 0.400000 0.466667 0.2 \n",
"1 (Coffee) (Pastry) 0.266667 0.400000 0.2 \n",
"2 (Pastry) (Coffee) 0.400000 0.266667 0.2 \n",
"3 (Pastry) (Medialuna) 0.400000 0.333333 0.2 \n",
"4 (Medialuna) (Pastry) 0.333333 0.400000 0.2 \n",
"\n",
" confidence lift leverage conviction zhangs_metric \n",
"0 0.50 1.071429 0.013333 1.066667 0.111111 \n",
"1 0.75 1.875000 0.093333 2.400000 0.636364 \n",
"2 0.50 1.875000 0.093333 1.466667 0.777778 \n",
"3 0.50 1.500000 0.066667 1.333333 0.555556 \n",
"4 0.60 1.500000 0.066667 1.500000 0.500000 "
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"min_confidence = CONSTANTS.MIN_CONFIDENCE_VALUE\n",
"rules_apriori = association_rules(repeated_item_sets_apriori, metric=\"confidence\", min_threshold=min_confidence)\n",
"print(f\"Association rules using Apriori with min_support = {min_support} and min_confidence = {min_confidence}:\")\n",
"rules_apriori"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
...@@ -457,6 +783,318 @@ ...@@ -457,6 +783,318 @@
"# ***3. Extracting rules using FP Growth***" "# ***3. Extracting rules using FP Growth***"
] ]
}, },
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ***3.1. Load dataset***"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Dataset loaded successfully\n"
]
}
],
"source": [
"df = None\n",
"df = pd.read_csv(CONSTANTS.PREPROCESSED_DATASET_PATH)\n",
"assert df.shape == CONSTANTS.PREPROCESSED_DATASET_SHAPE, f\"Expected shape {CONSTANTS.PREPROCESSED_DATASET_SHAPE}, but got {df.shape}\" \n",
"print(f\"Dataset loaded successfully\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**We'll deal only with first 15 transactions**"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"df = df.head(15)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ***3.2. Get repeated item sets***\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Repeated item sets using FP Growth with min_support = 0.2:\n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>support</th>\n",
" <th>itemsets</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.466667</td>\n",
" <td>(Bread)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.200000</td>\n",
" <td>(Scandinavian)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.200000</td>\n",
" <td>(Muffin)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.400000</td>\n",
" <td>(Pastry)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.266667</td>\n",
" <td>(Coffee)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>0.333333</td>\n",
" <td>(Medialuna)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>0.200000</td>\n",
" <td>(Pastry, Bread)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>0.200000</td>\n",
" <td>(Coffee, Pastry)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>0.200000</td>\n",
" <td>(Pastry, Medialuna)</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" support itemsets\n",
"0 0.466667 (Bread)\n",
"1 0.200000 (Scandinavian)\n",
"2 0.200000 (Muffin)\n",
"3 0.400000 (Pastry)\n",
"4 0.266667 (Coffee)\n",
"5 0.333333 (Medialuna)\n",
"6 0.200000 (Pastry, Bread)\n",
"7 0.200000 (Coffee, Pastry)\n",
"8 0.200000 (Pastry, Medialuna)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"min_support = CONSTANTS.MIN_SUPPORT_VALUE\n",
"repeated_item_sets_fpg = fpgrowth(df, min_support=min_support, use_colnames=True)\n",
"print(f\"Repeated item sets using FP Growth with min_support = {min_support}:\")\n",
"repeated_item_sets_fpg"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ***3.3. Get rules***\n"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Association rules using FP Growth with min_support = 0.2 and min_confidence = 0.5:\n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>antecedents</th>\n",
" <th>consequents</th>\n",
" <th>antecedent support</th>\n",
" <th>consequent support</th>\n",
" <th>support</th>\n",
" <th>confidence</th>\n",
" <th>lift</th>\n",
" <th>leverage</th>\n",
" <th>conviction</th>\n",
" <th>zhangs_metric</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>(Pastry)</td>\n",
" <td>(Bread)</td>\n",
" <td>0.400000</td>\n",
" <td>0.466667</td>\n",
" <td>0.2</td>\n",
" <td>0.50</td>\n",
" <td>1.071429</td>\n",
" <td>0.013333</td>\n",
" <td>1.066667</td>\n",
" <td>0.111111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>(Coffee)</td>\n",
" <td>(Pastry)</td>\n",
" <td>0.266667</td>\n",
" <td>0.400000</td>\n",
" <td>0.2</td>\n",
" <td>0.75</td>\n",
" <td>1.875000</td>\n",
" <td>0.093333</td>\n",
" <td>2.400000</td>\n",
" <td>0.636364</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>(Pastry)</td>\n",
" <td>(Coffee)</td>\n",
" <td>0.400000</td>\n",
" <td>0.266667</td>\n",
" <td>0.2</td>\n",
" <td>0.50</td>\n",
" <td>1.875000</td>\n",
" <td>0.093333</td>\n",
" <td>1.466667</td>\n",
" <td>0.777778</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>(Pastry)</td>\n",
" <td>(Medialuna)</td>\n",
" <td>0.400000</td>\n",
" <td>0.333333</td>\n",
" <td>0.2</td>\n",
" <td>0.50</td>\n",
" <td>1.500000</td>\n",
" <td>0.066667</td>\n",
" <td>1.333333</td>\n",
" <td>0.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>(Medialuna)</td>\n",
" <td>(Pastry)</td>\n",
" <td>0.333333</td>\n",
" <td>0.400000</td>\n",
" <td>0.2</td>\n",
" <td>0.60</td>\n",
" <td>1.500000</td>\n",
" <td>0.066667</td>\n",
" <td>1.500000</td>\n",
" <td>0.500000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" antecedents consequents antecedent support consequent support support \\\n",
"0 (Pastry) (Bread) 0.400000 0.466667 0.2 \n",
"1 (Coffee) (Pastry) 0.266667 0.400000 0.2 \n",
"2 (Pastry) (Coffee) 0.400000 0.266667 0.2 \n",
"3 (Pastry) (Medialuna) 0.400000 0.333333 0.2 \n",
"4 (Medialuna) (Pastry) 0.333333 0.400000 0.2 \n",
"\n",
" confidence lift leverage conviction zhangs_metric \n",
"0 0.50 1.071429 0.013333 1.066667 0.111111 \n",
"1 0.75 1.875000 0.093333 2.400000 0.636364 \n",
"2 0.50 1.875000 0.093333 1.466667 0.777778 \n",
"3 0.50 1.500000 0.066667 1.333333 0.555556 \n",
"4 0.60 1.500000 0.066667 1.500000 0.500000 "
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"min_confidence = CONSTANTS.MIN_CONFIDENCE_VALUE\n",
"rules_fpg = association_rules(repeated_item_sets_apriori, metric=\"confidence\", min_threshold=min_confidence)\n",
"print(f\"Association rules using FP Growth with min_support = {min_support} and min_confidence = {min_confidence}:\")\n",
"rules_fpg"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
......
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