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Architect a system to manage large-scale distributed databases.

What are the factors that determine the time complexity of SVM training? How does the time complexity during SVM inference compare to its training time complexity? What are the time complexity implications of using different kernels like Linear and RBF in SVMs?

What are the key considerations when designing a highly available distributed locking mechanism?

How does a 1D convolutional neural network operate?

Can you explain the inner workings of attention mechanisms in neural networks?

Develop a caching layer for distributed environments.

Create a collaborative coding platform with real-time updates.

What algorithm would you use to write a function for finding the longest path in a DAG?

How does Gradient Descent facilitate the training regimen of deep learning models?

How do you rectify the challenges posed by an imbalanced dataset?