Curvature-Weighted Capacity Allocation: A Minimum Description Length Framework for Layer-Adaptive Large Language Model Optimization

arXiv:2603.00910v2 Announce Type: replace-cross Abstract: Layer-wise capacity in large language models is highly non-uniform: some layers contribute disproportionately to loss reduction, whereas others are nearly redundant. Existing layer-scoring methods provide sensitivity estimates but do not give a principled rule for converting those estimates into allocation or pruning decisions under a global hardware budget. We introduce a curvature-aware, MDL-inspired framework built around the layer gain $\zeta_k^2=g_k^\top\widetilde H_{kk}^{-1}g_k$. This quantity equals twice the maximal decrease pre
The increasing complexity and scale of Large Language Models (LLMs) necessitate more efficient resource allocation, especially as hardware costs continue to rise.
This research provides a principled method for optimizing LLMs, potentially leading to more efficient model training and deployment within existing hardware budgets, which is crucial for advancing AI capabilities.
The ability to intelligently allocate capacity across LLM layers based on their curvature-weighted contribution could significantly reduce computational waste and improve model performance per unit of compute.
- · AI developers
- · Cloud computing providers
- · LLM researchers
- · Hardware manufacturers (those enabling denser compute)
- · Organizations with inefficient LLM architectures
More efficient and cost-effective development and deployment of increasingly complex LLMs.
Reduced demand for ultra-high-end bespoke AI accelerators for some use cases, as existing hardware becomes more optimized.
Acceleration of AI model development cycles and broader accessibility of advanced AI capabilities due to lower resource barriers.
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Read at arXiv cs.LG