- Hook: Are you a night owl who thrives after midnight, or an early bird who's most productive at dawn? These natural tendencies are known as chronotypes, and they significantly impact our lives, from work performance to health. What if we could automatically discover these patterns from user sleep data?
- What we'll build/learn: In this deep dive, we'll walk through a complete data science project to uncover user chronotypes from a dataset of sleep timings. We'll use unsupervised clustering algorithms, specifically K-Means and DBSCAN, to segment users into meaningful groups like "early birds," "night owls," and "standard sleepers."
- Prerequisites: You should have a basic understanding of Python and familiarity with data manipulation using Pandas. Some prior knowledge of machine learning concepts will be helpful but is not strictly required. You'll need Python 3, along with the Pandas, Scikit-learn, and Matplotlib libraries installed.
- Why this matters to developers: Understanding user behavior is crucial for building personalized experiences. For health and wellness apps, segmenting users by chronotype can enable tailored recommendations for optimal sleep schedules, workout times, and even productivity hacks. This tutorial provides a practical blueprint for applying unsupervised learning to time-based behavioral data.
Understanding the Problem
- Technical context and challenges: Manually identifying chronotypes through questionnaires can be subjective and time-consuming. Unsupervised machine learning offers a data-driven approach to identify these patterns from passively collected sleep data. The main challenge lies in transforming raw sleep timings into meaningful features that clustering algorithms can effectively use to group similar users.
- Current state of the art: Wearable technology and health apps now provide vast amounts of sleep data. Researchers and companies are increasingly using machine learning to analyze this data for insights into sleep quality and patterns.
- Why our approach is better: Instead of relying on self-reported information, we'll use objective sleep timing data to uncover natural groupings of users. This method is scalable and can be applied to large datasets to provide valuable insights for personalizing user experiences. We will compare two distinct clustering approaches, K-Means and DBSCAN, to see how they perform on this type of data.
Prerequisites
- List of required tools/libraries:
- Python 3.x
- Pandas
- Scikit-learn
- Matplotlib
- Seaborn
- Version compatibility notes: The code in this tutorial was written using Python 3.8, Pandas 1.3, Scikit-learn 1.0, Matplotlib 3.5, and Seaborn 0.11. Minor version differences should not cause issues.
- Setup commands with expected outputs: To install the necessary libraries, run the following command in your terminal:
pip install pandas scikit-learn matplotlib seaborn
You should see a success message indicating that the packages were installed correctly.
Step 1: Data Loading and Preprocessing
What we're doing
First, we need to load our dataset and prepare it for feature engineering. We'll use a synthetic "Student Sleep Patterns" dataset from Kaggle which is perfect for our analysis as it includes weekday and weekend sleep and wake times. We will clean up the data, handle any inconsistencies, and convert time formats into something more usable.
Implementation
# src/data_preprocessing.py
import pandas as pd
# Load the dataset
try:
df = pd.read_csv('student_sleep_patterns.csv')
except FileNotFoundError:
print("Please download the dataset from: https://www.kaggle.com/datasets/ssooni/student-sleep-patterns-dataset")
exit()
# Display the first few rows and basic info
print("Original DataFrame head:")
print(df.head())
print("\nDataFrame Info:")
df.info()
# For this analysis, we are interested in the sleep timing columns
sleep_timing_df = df[['Student_ID', 'Weekday_Sleep_Start', 'Weekday_Sleep_End', 'Weekend_Sleep_Start', 'Weekend_Sleep_End']].copy()
print("\nSleep Timing DataFrame head:")
print(sleep_timing_df.head())
How it works
We load the CSV file into a Pandas DataFrame. The .head() function shows us the first few rows to understand the structure, and .info() gives us an overview of the data types and non-null values. We then create a new DataFrame sleep_timing_df containing only the columns relevant to our chronotype analysis.
Common pitfalls
- File Not Found: Make sure the CSV file is in the same directory as your Python script or provide the correct file path.
- Inconsistent Time Formats: In real-world data, time formats can be messy (e.g., '10:00 PM', '22:00', '10pm'). Our dataset uses a 24-hour float format, which simplifies things. For other formats, you might need to use
pd.to_datetime.
Step 2: Feature Engineering for Chronotypes
What we're doing
To cluster users by chronotype, we need to create features that represent their sleep behavior. Two of the most effective features for this are:
- Midpoint of Sleep: The halfway point between bedtime and wake-up time. This is a strong indicator of a person's natural sleep timing.
- Sleep Duration: The total time spent asleep.
We will calculate these for both weekdays and weekends to capture any differences in behavior.
Implementation
# src/feature_engineering.py
import numpy as np
def calculate_sleep_features(df):
"""Calculates midpoint of sleep and sleep duration."""
features_df = df.copy()
for period in ['Weekday', 'Weekend']:
start_col = f'{period}_Sleep_Start'
end_col = f'{period}_Sleep_End'
# Convert times to hours from midnight
start_time = features_df[start_col]
end_time = features_df[end_col]
# Handle overnight sleep
duration = np.where(end_time > start_time,
end_time - start_time,
(24 - start_time) + end_time)
midpoint = (start_time + duration / 2) % 24
features_df[f'{period}_Duration'] = duration
features_df[f'{period}_Midpoint'] = midpoint
return features_df
features_df = calculate_sleep_features(sleep_timing_df)
print("\nDataFrame with Engineered Features:")
print(features_df.head())
How it works
- For both "Weekday" and "Weekend", we calculate the sleep duration. We have to account for sleeping past midnight. If the
end_timeis less than thestart_time, it means the person woke up the next day. In this case, the duration is(24 - start_time) + end_time. - The
midpointof sleep is calculated by adding half the duration to the start time. We use the modulo operator (% 24) to ensure the midpoint wraps around a 24-hour clock.
Common pitfalls
- Ignoring Overnight Spans: A simple
end_time - start_timewill give a negative duration for overnight sleep. Thenp.wherefunction is a clean way to handle this conditional logic.
Step 3: Clustering with K-Means
What we're doing
K-Means is a popular clustering algorithm that groups data points into a pre-defined number of clusters (k). It's a good starting point for our chronotype discovery. We will use the "elbow method" to determine the optimal number of clusters and then fit the K-Means model to our engineered features.
Implementation
# src/kmeans_clustering.py
from sklearn.cluster import KMeans
from sklearn.preprocessing import StandardScaler
import matplotlib.pyplot as plt
import seaborn as sns
# Select features for clustering
X = features_df[['Weekday_Midpoint', 'Weekday_Duration', 'Weekend_Midpoint', 'Weekend_Duration']]
# Scale the features
scaler = StandardScaler()
X_scaled = scaler.fit_transform(X)
# Elbow method to find the optimal k
inertia = []
K = range(1, 11)
for k in K:
kmeans = KMeans(n_clusters=k, random_state=42, n_init=10)
kmeans.fit(X_scaled)
inertia.append(kmeans.inertia_)
plt.figure(figsize=(8, 5))
plt.plot(K, inertia, 'bx-')
plt.xlabel('Number of clusters (k)')
plt.ylabel('Inertia')
plt.title('Elbow Method For Optimal k')
plt.show()
# Based on the elbow plot, let's choose k=3
k = 3
kmeans = KMeans(n_clusters=k, random_state=42, n_init=10)
features_df['KMeans_Cluster'] = kmeans.fit_predict(X_scaled)
print("\nDataFrame with K-Means Clusters:")
print(features_df.head())
# Visualize the clusters
plt.figure(figsize=(10, 6))
sns.scatterplot(data=features_df, x='Weekday_Midpoint', y='Weekend_Midpoint', hue='KMeans_Cluster', palette='viridis', s=100)
plt.title('Chronotype Clusters (K-Means)')
plt.xlabel('Weekday Sleep Midpoint')
plt.ylabel('Weekend Sleep Midpoint')
plt.legend(title='Cluster')
plt.show()
How it works
- Feature Scaling: We use
StandardScalerto normalize our features. This is important for distance-based algorithms like K-Means, as it prevents features with larger scales from dominating the clustering process. - Elbow Method: We calculate the inertia (sum of squared distances of samples to their closest cluster center) for different values of
k. The "elbow" in the plot, where the rate of decrease in inertia slows down, suggests the optimal number of clusters. For this data, it's aroundk=3. - Clustering and Visualization: We fit the K-Means model with
k=3and assign the cluster labels back to our DataFrame. The scatter plot helps us visualize the resulting clusters based on weekday and weekend sleep midpoints.
Common pitfalls
- Forgetting to Scale Features: This can lead to skewed clusters if the feature scales are very different.
- Misinterpreting the Elbow: Sometimes the elbow is not very clear. In such cases, you might need to use other methods like the silhouette score or rely on domain knowledge to choose
k.
Step 4: Clustering with DBSCAN
What we're doing
DBSCAN (Density-Based Spatial Clustering of Applications with Noise) is another powerful clustering algorithm that can identify clusters of arbitrary shapes and is also robust to outliers. Unlike K-Means, it doesn't require us to specify the number of clusters beforehand. This can be very useful when we don't know how many natural groups exist in the data.
Implementation
# src/dbscan_clustering.py
from sklearn.cluster import DBSCAN
# Using the same scaled features
dbscan = DBSCAN(eps=0.5, min_samples=5)
features_df['DBSCAN_Cluster'] = dbscan.fit_predict(X_scaled)
print("\nDataFrame with DBSCAN Clusters:")
print(features_df.head())
print("\nDBSCAN Cluster Counts:")
print(features_df['DBSCAN_Cluster'].value_counts())
# Visualize the clusters
plt.figure(figsize=(10, 6))
sns.scatterplot(data=features_df, x='Weekday_Midpoint', y='Weekend_Midpoint', hue='DBSCAN_Cluster', palette='viridis', s=100)
plt.title('Chronotype Clusters (DBSCAN)')
plt.xlabel('Weekday Sleep Midpoint')
plt.ylabel('Weekend Sleep Midpoint')
plt.legend(title='Cluster')
plt.show()
How it works
- DBSCAN Parameters: DBSCAN has two main parameters:
eps(the maximum distance between two samples for one to be considered as in the neighborhood of the other) andmin_samples(the number of samples in a neighborhood for a point to be considered as a core point). Tuning these can be tricky and may require some experimentation. - Noise Detection: DBSCAN labels noise points as -1. This is a key advantage as it can isolate outliers that don't belong to any cluster.
Common pitfalls
- Parameter Tuning: The performance of DBSCAN is sensitive to
epsandmin_samples. Poor choices can result in all points being in one cluster or all points being labeled as noise. You may need to experiment with different values to get meaningful results.
Putting It All Together
Let's analyze and interpret the clusters we've found. We can group our DataFrame by the cluster labels and look at the mean values of our features for each group.
# src/analyze_clusters.py
# Analyze K-Means clusters
kmeans_summary = features_df.groupby('KMeans_Cluster')[['Weekday_Midpoint', 'Weekend_Midpoint', 'Weekday_Duration', 'Weekend_Duration']].mean()
print("\nK-Means Cluster Summary:")
print(kmeans_summary)
# Analyze DBSCAN clusters
dbscan_summary = features_df[features_df['DBSCAN_Cluster'] != -1].groupby('DBSCAN_Cluster')[['Weekday_Midpoint', 'Weekend_Midpoint', 'Weekday_Duration', 'Weekend_Duration']].mean()
print("\nDBSCAN Cluster Summary:")
print(dbscan_summary)
Interpreting the K-Means Clusters: Based on the output of the K-Means summary, we might find three distinct groups:
- Cluster 0: Early Birds: Low weekday and weekend midpoints (e.g., around 3-4 AM), suggesting they go to bed and wake up early consistently.
- Cluster 1: Night Owls: High weekday and weekend midpoints (e.g., around 6-7 AM), indicating a preference for later sleep times.
- Cluster 2: Standard Sleepers: Midpoints in between the other two groups, representing a more typical sleep schedule.
Alternative Approaches
- Hierarchical Clustering: This method creates a tree of clusters and can be useful for visualizing how groups are nested. It doesn't require a predefined number of clusters, but you do need to decide where to "cut" the tree.
- Gaussian Mixture Models (GMM): GMMs are a probabilistic model that assumes the data points are generated from a mixture of a finite number of Gaussian distributions. This can be more flexible than K-Means as it allows for clusters that are not spherical.
Conclusion
- Summary of achievements: We've successfully built an end-to-end pipeline to discover user chronotypes from sleep timing data. We've cleaned the data, engineered meaningful features, and applied two different unsupervised clustering algorithms, K-Means and DBSCAN, to segment users into distinct groups.
- Next steps for readers: Try applying this methodology to a different behavioral dataset. You could also experiment with other clustering algorithms or engineer additional features, such as the difference between weekday and weekend sleep patterns (an indicator of "social jetlag").
- Call to action: Try out the code and see what you can discover in your own data! Share your findings or any interesting modifications you've made in the comments below.
Resources
- Official documentation:
- Further reading: