Your Experts Have Partners. There's HOPE for Keeping Them Together
Blog post from Hugging Face
HOPE, or Higher-Order Pruning of Experts, is a method for reducing the memory footprint of Mixture-of-Experts language models by permanently removing experts while preserving the cooperative relationships among experts that are frequently activated together. Unlike first-order pruning methods that assign each expert an independent importance score, HOPE uses a pairwise interaction matrix derived from gate weights, expert output norms, and co-activation patterns on calibration data, then solves a quadratic optimization problem to select experts for removal. Evaluations on Qwen3.5 and GLM-4.5 models across general and agentic coding benchmarks found that HOPE performed best overall, with its advantage increasing at aggressive pruning rates; at 50% pruning, it reportedly matched or exceeded competing methods and, in one coding benchmark, maintained performance comparable to the unpruned model. The approach requires one calibration pass, a relatively brief optimization step per layer, and produces standard smaller Hugging Face checkpoints, though its benefits are narrower at low pruning rates and it currently does not model interactions across layers or beyond expert pairs.
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