Optimize Hyper-parameter Search to Prevent Combinatorial Explosion

Q: Optimize Hyper-parameter Search to Prevent Combinatorial Explosion

This question evaluates proficiency in enumerating Cartesian-product hyperparameter combinations using memory-efficient lazy generation and an understanding of strategies for managing combinatorial explosion in hyperparameter search.

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Question

Enumerate Grid-Search Hyperparameter Combinations and Manage Explosion

Context

You are building a hyper-parameter optimization service that must enumerate every grid-search combination. The input is a Python dict mapping parameter names to candidate values, e.g.,

{'learning_rate': [0.1, 0.2], 'feature': ['A', 'B'], 'batch': [10, 20]}

Tasks

Write a Python generator that lazily yields all combinations as dicts (memory efficient, supports any number of parameters).
Briefly discuss practical alternatives to avoid combinatorial explosion when grids are huge.

Notes

You may use recursive backtracking or itertools.product.
Mention strategies such as random search, Bayesian optimization, and Sobol/low-discrepancy sampling.

Optimize Hyper-parameter Search to Prevent Combinatorial Explosion

Enumerate Grid-Search Hyperparameter Combinations and Manage Explosion

Context

Tasks

Notes

Solution

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