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Develop a platform for real-time sentiment analysis on social media.

Design a system to recognize faces in real-time using machine learning.

What is the principle behind minimum height trees and their construction methodology?

How would you construct a solution to find the longest palindrome within a provided string?

In terms of linear regression, what is the significance of considering error assumptions, and what does it entail?

Could you expound on the DMatrix functionality in XGBoost and its distinction from other gradient boosting data structures?

Can you explain the consequences of overfitting and underfitting in real-world situations? Could you provide some examples that demonstrate when either of these might happen?

What optimization algorithms can you list from your repertoire? How would you tackle the challenge of optimizing a problem with a million variables? What is the principle behind the simplex algorithm in optimization?

Architect an online food delivery network like DoorDash.

In creating a demand forecasting model for a ride-sharing service, which factors and data sources would you prioritize, and why? What steps would you take to validate the model and ensure its accuracy?