diff --git a/fomo/examples/curr_data.csv b/fomo/examples/curr_data.csv
index d6197a4..88e5796 100644
--- a/fomo/examples/curr_data.csv
+++ b/fomo/examples/curr_data.csv
@@ -1,49 +1,49 @@
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diff --git a/fomo/examples/full_pipeline.ipynb b/fomo/examples/full_pipeline.ipynb
index 628864a..a915ab6 100644
--- a/fomo/examples/full_pipeline.ipynb
+++ b/fomo/examples/full_pipeline.ipynb
@@ -2,9 +2,19 @@
"cells": [
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 1,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/homebrew/Caskroom/miniforge/base/envs/Missingness/lib/python3.11/site-packages/tslearn/bases/bases.py:15: UserWarning: h5py not installed, hdf5 features will not be supported.\n",
+ "Install h5py to use hdf5 features: http://docs.h5py.org/\n",
+ " warn(h5py_msg)\n"
+ ]
+ }
+ ],
"source": [
"import sys\n",
"sys.path.append(\"../../\")\n",
@@ -13,12 +23,13 @@
"from fomo.patterns.missing_data_matrix import missing_data_matrix, flag_missing_data\n",
"from fomo.patterns.missing_pattern_plot import MissingPatternPlot\n",
"from fomo.patterns.cluster_k_means import Cluster_KMeans\n",
- "from fomo.patterns.cluster_dtw_k_means import Cluster_DTW_KMeans"
+ "from fomo.patterns.cluster_dtw_k_means import Cluster_DTW_KMeans\n",
+ "from fomo.patterns.spectrograms import generate_spectrograms, cluster_spectrograms, plot_spectrogram"
]
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 2,
"metadata": {},
"outputs": [
{
@@ -45,13 +56,12 @@
"source": [
"heart_rate_data = pd.read_csv('../../sample data/Four_Cluster_Missingness_30_days.csv')\n",
"heart_rate_data = heart_rate_data.drop('Unnamed: 0', axis=1)\n",
- "print(heart_rate_data)\n",
- "\n"
+ "print(heart_rate_data)"
]
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 3,
"metadata": {},
"outputs": [
{
@@ -82,395 +92,265 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 4,
"metadata": {},
"outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "datetime 2024-01-01 23:45:00 2024-01-02 23:45:00 2024-01-03 23:45:00 \\\n",
- "person_id \n",
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- "562958 0.333333 0.281250 0.281250 \n",
- "640867 1.000000 0.250000 0.364583 \n",
- "647640 0.322917 0.250000 0.458333 \n",
- "664709 0.312500 0.302083 0.302083 \n",
- "674253 0.250000 0.364583 0.291667 \n",
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- "736402 0.343750 0.322917 0.354167 \n",
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- "924197 0.375000 0.343750 0.375000 \n",
- "938521 0.354167 1.000000 0.333333 \n",
- "\n",
- "datetime 2024-01-04 23:45:00 2024-01-05 23:45:00 2024-01-06 23:45:00 \\\n",
- "person_id \n",
- "102475 0.281250 1.000000 0.354167 \n",
- "118675 0.270833 0.458333 0.322917 \n",
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+ " 0.187500 | \n",
+ " 0.291667 | \n",
+ " 0.312500 | \n",
+ " ... | \n",
+ " 0.989583 | \n",
+ " 0.614583 | \n",
+ " 0.354167 | \n",
+ " 0.364583 | \n",
+ " 0.395833 | \n",
+ " 0.395833 | \n",
+ " 0.218750 | \n",
+ " 0.447917 | \n",
+ " 0.447917 | \n",
+ " 0.989583 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
5 rows × 30 columns
\n",
+ "
"
]
@@ -486,12 +366,12 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
""
]
@@ -503,7 +383,7 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "optimal_k 4\n"
+ "optimal_k 7\n"
]
}
],
@@ -516,12 +396,12 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
"text/plain": [
""
]
@@ -531,7 +411,7 @@
}
],
"source": [
- "kmeans = Cluster_KMeans(n_clusters=optimal_k)\n",
+ "kmeans = Cluster_KMeans(n_clusters=4)\n",
"kmeans.fit(my_missing_data_matrix)\n",
"clusters = kmeans.labels_\n",
"\n",
@@ -539,6 +419,250 @@
"plot_data.plot('cluster', direction=False, y_label='PERSON_ID', y_ticks=True)"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | datetime | \n",
+ " 2024-01-01 | \n",
+ " 2024-01-02 | \n",
+ " 2024-01-03 | \n",
+ " 2024-01-04 | \n",
+ " 2024-01-05 | \n",
+ " 2024-01-06 | \n",
+ " 2024-01-07 | \n",
+ " 2024-01-08 | \n",
+ " 2024-01-09 | \n",
+ " 2024-01-10 | \n",
+ " ... | \n",
+ " 2024-01-21 | \n",
+ " 2024-01-22 | \n",
+ " 2024-01-23 | \n",
+ " 2024-01-24 | \n",
+ " 2024-01-25 | \n",
+ " 2024-01-26 | \n",
+ " 2024-01-27 | \n",
+ " 2024-01-28 | \n",
+ " 2024-01-29 | \n",
+ " 2024-01-30 | \n",
+ "
\n",
+ " \n",
+ " | person_id | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
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5 rows × 30 columns
\n",
+ "