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Which optimization strategies are within your realm of expertise? What are the best practices for handling optimization problems with a vast number of variables? What does the simplex method entail when addressing optimization challenges?

What's your understanding of a minimum height tree, and how can it be created?

What are the key components and considerations in designing a real-time inventory tracking system?

Differentiate between RNN and LSTM.

Architect a social network's friend suggestion engine.

What is the principle behind k-means clustering, and does it locate the global optimum? Code up an implementation that takes an N*D matrix.

Given two sparse matrices, how would you compute the dot product?

What performance indicators do you consider essential for computer vision models?

How does the increasing number of layers in a model complicate its use?

What strategies would you use to ensure fault tolerance and data persistence in a distributed cache?