How to Find the Best Apartment with Optimal Stopping Theory || The Secretary Problem Explained 

🔍 Unraveling the Mysteries of the Secretary Problem! 🧠
Welcome to our deep dive into the fascinating world of the Secretary Problem, also known as the Marriage Problem or the Best Choice Algorithm! This mathematical puzzle has perplexed and intrigued researchers and enthusiasts alike. In this video, we'll explore the intricacies of this classic problem, delving into its history, mathematical foundations, and real-world applications.
🔑 What is the Secretary Problem?
We start by introducing the Secretary Problem and its premise. Instead of finding the best secretary though, we'll be diving into the heart of San Francisco's housing market. How do you optimally select the best apartment out of a line of apartments, when you must decide on each apartment on the spot and cannot return to previous ones?
🧮 Breaking Down the Math
We then dissect the mathematical concepts behind this problem, explaining the probabilities and strategies involved. We'll be writing some simple Python code to uncover the best strategies.
🌍 Real-World Applications
Discover how the principles of the Secretary Problem can be applied in real life, from hiring the best candidate to choosing the best parking spot to even finding the love of your life!
📚 Resources
Algorithms To Live By
GitHub Code: github.com/Sourish07/The-Secr...
👇Timestamps
0:00 - Intro
0:46 - Problem Setup
01:34 - Developing a Strategy for 3 Apartments
02:20 - Implementing the Strategy with Python
02:57 - Graphing the Results!
03:45 - Expanding to More Apartments
06:04 - Additional Features of Our Strategy
06:51 - How to Find True Love (Accounting for Rejection)
07:46 - What if We Can Go Back?
08:09 - Searching for the Best Parking
09:20 - Conclusion
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